Organizing Committee
Abstract

The theory, algorithms, and software of linear algebra are familiar tools across mathematics, the applied sciences, and engineering. This ubiquity of linear algebra masks a fairly recent growth of nonlinear algebra in mathematics and its applications to other disciplines. The proliferation of nonlinear algebra has been fueled by recent theoretical advances, efficient implementations of core algorithms, and an increased awareness of these tools.

The benefits of this nonlinear theory and its tools are manifold. Pushing computational boundaries has led to the development of new mathematical theories, such as homotopy methods for numerical algebraic geometry, tropical geometry and toric deformations, and sums of squares methods for polynomial optimization. This uncovered many concrete nonlinear mathematical objects and questions, many of which are ripe for computer experimentation. In turn, resulting mathematical breakthroughs often lead to more powerful and efficient algorithms for computation.

This semester will work towards a time when ideas of nonlinear algebra, its theory, methods, and software are as ubiquitous as those of linear algebra.

Image for "Nonlinear Algebra"

Read a highlight on “Projecting geometry of Wachspress coordinates” created by researchers from this ICERM program.

Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee
  • Jose Acevedo
    Georgia Tech
    Oct 15-19, 2018
  • Michael Adamer
    University of Oxford
    Nov 11-17, 2018
  • Bibhas Adhikari
    Indian Institute of Technology Kharagpur
    Sep 5-Dec 7, 2018
  • Daniele Agostini
    University of Copenhagen
    Sep 30-Nov 17, 2018; Oct 15-19, 2018
  • Amir Ali Ahmadi
    Princeton University
    Sep 17-21, 2018
  • Elizabeth Allman
    University of Alaska Fairbanks
    Nov 12-16, 2018
  • Jason Altschuler
    MIT
    Oct 15-19, 2018
  • Carlos Améndola Cerón
    Technical University Munich
    Sep 4-25, 2018
  • Silviana Amethyst
    University of Wisconsin - Eau Claire
    Sep 2-Dec 10, 2018
  • David Anderson
    Ohio State University
    Oct 15-19, 2018
  • Albert Atserias
    Universitat Politècnica de Catalunya
    Oct 14-19, 2018
  • Iman Bahmani Jafarloo
    Politecnico di Torino
    Sep 4-Dec 7, 2018
  • Krishnakumar Balasubramanian
    UC Davis
    Oct 15-19, 2018
  • Loretta Bartolini
    Springer
    Oct 15-19, 2018
  • Dan Bates
    U.S. Naval Academy
    Sep 9-12, 2018
  • Alessandra Bernardi
    Università di Trento
    Nov 12-16, 2018
  • Daniel Bernstein
    MIT
    Sep 3-Dec 8, 2018
  • Anna Bigatti
    University of Genova
    Sep 15-21, 2018
  • Greg Blekherman
    Georgia Tech
    Sep 10-23, 2018; Oct 14-26, 2018; Nov 7-16, 2018
  • Ahmed Blidia
    inria
    Sep 17-21, 2018
  • Petter Branden
    KTH Royal Institute of Technology
    Oct 14-20, 2018
  • Taylor Brysiewicz
    Texas A&M University
    Sep 5-Dec 7, 2018
  • Sabine Burgdorf
    University of Konstanz
    Oct 15-19, 2018
  • Peter Burgisser
    Technical University Berlin
    Sep 16-Oct 20, 2018
  • Michael Burr
    Clemson University
    Sep 5-Dec 18, 2018
  • Eimear Byrne
    University College Dublin
    Nov 11-17, 2018
  • Dustin Cartwright
    University of Tennessee
    Oct 22-Nov 17, 2018
  • Marcel Celaya
    Georgia Institute of Technology
    Oct 15-19, 2018
  • Wojciech Chacholski
    KTH
    Oct 22-26, 2018
  • Melody Chan
    Brown University
    Sep 1-Dec 7, 2018
  • Venkat Chandrasekaran
    California Institute of Technology
    Nov 11-13, 2018
  • Justin Chen
    Georgia Institute of Technology
    Sep 5-Dec 8, 2018; Oct 15-19, 2018
  • Tianran Chen
    Auburn University at Montgomery
    Sep 17-21, 2018
  • Yanlai Chen
    University of Massachusetts, Dartmouth
    Oct 15-19, 2018
  • Lynn Chua
    UC Berkeley
    Nov 12-16, 2018
  • Diego Cifuentes
    MIT
    Sep 6-7, 2018; Sep 17-20, 2018; Oct 15-19, 2018; Nov 13-14, 2018
  • Mark Curiel
    San Jose State University
    Nov 12-16, 2018
  • Carina Curto
    The Pennsylvania State University
    Nov 12-16, 2018
  • Jesús De Loera
    University of California, Davis
    Sep 16-22, 2018; Nov 12-13, 2018
  • Timo de Wolff
    Technical University Berlin
    Oct 15-19, 2018
  • Mark DeBonis
    Manhattan College
    Sep 18, 2018
  • Pierre-Philippe Dechant
    York St John University
    Nov 12-16, 2018
  • Wolfram Decker
    Technische Universität Kaiserslautern
    Sep 15-Oct 6, 2018
  • Papri Dey
    IIT Bombay
    Sep 1-Dec 31, 2018; Oct 15-19, 2018
  • Sandra Di Rocco
    Royal Institute of Technology, Stockholm
    Sep 30-Nov 30, 2018; Oct 15-19, 2018
  • Nicholas Dicati
    unknown
    Oct 15-19, 2018
  • Alicia Dickenstein
    University of Buenos Aires
    Oct 22-Nov 17, 2018
  • Mareike Dressler
    ICERM
    Sep 4-Dec 7, 2018; Oct 15-19, 2018
  • Eliana Duarte Gelvez
    Otto von Guericke Universität Magdeburg
    Oct 12-Nov 20, 2018
  • Timothy Duff
    Georgia Institute of Technology
    Sep 5-Dec 1, 2018; Oct 15-19, 2018
  • Rebecca Durst
    Brown University
    Oct 15-19, 2018
  • David Eisenbud
    Mathematical Sciences Research Institute and University of California, Berkeley
    Sep 30-Oct 5, 2018
  • David Eklund
    Technical University of Denmark
    Sep 14-29, 2018; Oct 7-Nov 12, 2018; Oct 15-19, 2018
  • Alperen Ergur
    TU Berlin
    Oct 15-19, 2018
  • Ricardo Fabbri
    Rio de Janeiro State University – UERJ, Polytechnic Institute at Nova Friburgo – IPRJ, Graduate program CAPES 6
    Sep 5-Oct 27, 2018
  • Jeová Farias Sales Rocha Neto
    Brown university
    Oct 15-19, 2018
  • Hamza Fawzi
    University of Cambridge
    Oct 15-19, 2018
  • Oliver Gäfvert
    KTH Royal Institute of Technology
    Sep 5-Nov 30, 2018; Oct 15-19, 2018
  • Tingran Gao
    The University of Chicago
    Sep 5-28, 2018
  • Luis David Garcia Puente
    Sam Houston State University
    Sep 17-21, 2018; Nov 12-16, 2018
  • Saeed Ghadimi
    Princeton University
    Oct 15-19, 2018
  • Elisa Gorla
    University of Neuchatel
    Sep 5-Dec 7, 2018; Oct 15-19, 2018
  • António Goucha
    University of Coimbra
    Sep 3-Dec 8, 2018; Oct 15-19, 2018
  • João Gouveia
    University of Coimbra
    Oct 15-19, 2018
  • Alexandros Grosdos Koutsoumpelias
    Osnabrück University
    Oct 1-Nov 17, 2018
  • Elizabeth Gross
    University of Hawai'i at Manoa
    Oct 15-19, 2018
  • Alexander Guterman
    Lomonosov Moscow State University
    Nov 12-16, 2018
  • Georgina Hall
    INSEAD Business School
    Oct 15-19, 2018
  • Marc Harkonen
    Georgia Institute of Technology
    Sep 3-Dec 8, 2018; Oct 15-19, 2018
  • Heather Harrington
    University of Oxford
    Oct 14-Nov 16, 2018; Oct 15-19, 2018
  • Katherine Harris
    North Carolina State University
    Sep 5-12, 2018; Oct 15-19, 2018
  • Jonathan Hauenstein
    University of Notre Dame
    Sep 1-Nov 30, 2018; Oct 15-19, 2018
  • Yang-Hui He
    City, University of London, Oxford University, and Nankai University
    Nov 11-16, 2018
  • Kathryn Heal
    Harvard University
    Oct 15-19, 2018
  • Martin Helmer
    Centre for Applicable Mathematics
    Sep 17-21, 2018; Oct 30-Nov 16, 2018
  • Martin Helsø
    University of Oslo
    Oct 15-19, 2018
  • Bill Helton
    University of California San Diego
    Oct 13-Nov 17, 2018; Oct 15-19, 2018
  • Didier Henrion
    CNRS
    Oct 15-19, 2018
  • Willy Hereman
    Colorado School of Mines
    Nov 8-17, 2018
  • Cvetelina Hill
    Georgia Institute of Technology
    Sep 5-Dec 7, 2018; Oct 15-19, 2018
  • Evelyne Hubert
    Inria
    Oct 25-Nov 25, 2018
  • David Hyeon
    Seoul National University
    Oct 18-19, 2018
  • Anthony Iarrobino
    Northeastern University
    Nov 12-16, 2018
  • Sun Jang
    University of Ulsan
    Nov 12-16, 2018
  • Vishnu Jejjala
    University of Witwatersrand
    Nov 12-16, 2018
  • Anders Jensen
    Aarhus Universitet
    Sep 15-Oct 20, 2018; Oct 15-19, 2018
  • Peter Joyce
    Community college of baltimore county at catonsville
    Nov 12-16, 2018
  • Jaewoo Jung
    Georgia Institute of Technology
    Oct 15-19, 2018
  • David Kahle
    Baylor University
    Nov 12-16, 2018
  • Thomas Kahle
    Otto-von-Guericke Unversität
    Sep 5-28, 2018; Nov 10-17, 2018
  • Nidhi Kaihnsa
    Max Planck Institute, MIS, Leipzig
    Sep 3-Nov 1, 2018; Oct 15-19, 2018
  • Sara Kalisnik Verovsek
    Max Planck Institute for Mathematics in the Sciences
    Oct 15-19, 2018
  • Erich Kaltofen
    North Carolina State University
    Sep 19-21, 2018
  • Karan Khathuria
    University of Zurich
    Nov 12-16, 2018
  • Joe Kileel
    Princeton University
    Nov 16-20, 2018
  • Seoyoung Kim
    Brown University
    Oct 15-19, 2018
  • Kathlén Kohn
    ICERM
    Aug 27, 2018-Jan 14, 2019; Oct 15-19, 2018
  • Madhu Kiran C Kolli
    North Carolina State University
    Sep 17-21, 2018
  • Matthias Köppe
    UC Davis
    Sep 16-21, 2018
  • Pravesh Kothari
    Institute for Advanced Study and Princeton University
    Oct 15-19, 2018
  • Khazhgali Kozhasov
    MPI MiS
    Oct 7-27, 2018
  • Martin Kreuzer
    University of Passau
    Sep 17-21, 2018
  • Robert Krone
    UC Davis
    Sep 5-Dec 7, 2018; Oct 15-19, 2018
  • Kaie Kubjas
    Sorbonne Université
    Oct 21-Nov 16, 2018
  • Zuzana Kúkelová
    Czech Technical University
    Oct 15-19, 2018
  • Wai Yeung Lam
    Brown University
    Oct 15-19, 2018
  • Sara Lamboglia
    Goethe-Universität Frankfurt
    Sep 2-Dec 7, 2018; Oct 15-19, 2018
  • Cristina Landolina
    University of Neuchâtel
    Nov 12-16, 2018
  • Christopher Langdon
    Pennsylvania State University
    Nov 14-17, 2018
  • Jean B. Lasserre
    LAAS-CNRS Toulouse
    Oct 15-19, 2018
  • Reinhard Laubenbacher
    University of Connecticut Health Center
    Oct 14-17, 2018; Nov 11-16, 2018
  • Kisun Lee
    Georgia tech
    Sep 4-Dec 7, 2018; Oct 15-19, 2018
  • ChongGyu Lee
    University of Illinois
    Nov 12-16, 2018
  • Robert Lewis
    Fordham University
    Nov 12-16, 2018
  • Anton Leykin
    Georgia Tech
    Aug 27-Dec 8, 2018; Oct 15-19, 2018
  • Nan Li
    Tianjin University
    Sep 4-22, 2018
  • Hiram López
    Clemson University and Autonomous University of Aguascalientes
    Nov 12-16, 2018
  • Diane Maclagan
    University of Warwick
    Sep 3-29, 2018
  • Victor Magron
    CNRS
    Oct 15-19, 2018
  • Felice Manganiello
    Clemson University
    Nov 12-16, 2018
  • Zhiping Mao
    Brown University
    Oct 15-19, 2018
  • Ivan Martino
    Northeastern University
    Nov 12-16, 2018
  • Gretchen Matthews
    Virginia Tech
    Nov 12-16, 2018
  • Peter Merkx
    Wesleyan University
    Oct 15-19, 2018
  • Challenger Mishra
    ICMAT, Madrid
    Nov 12-16, 2018
  • Ali Mohammad Nezhad
    Purdue University
    Oct 15-19, 2018
  • Ankur Moitra
    MIT
    Oct 15-19, 2018
  • Bernard Mourrain
    INRIA
    Oct 1-19, 2018
  • Riley Murray
    California Institute of Technology
    Oct 15-19, 2018
  • Simone Naldi
    Université de Limoges
    Oct 13-20, 2018
  • Linda Ness
    Rutgers University
    Oct 7-12, 2018
  • Jiawang Nie
    UCSD
    Oct 15-19, 2018
  • Peter Olver
    University of Minnesota
    Sep 18-Nov 28, 2018; Oct 15-19, 2018
  • Giorgio Ottaviani
    University of Florence
    Nov 11-24, 2018
  • Tomas Pajdla
    Czech Technical University in Prague
    Sep 17-Nov 30, 2018
  • Elisa Palezzato
    Hokkaido University
    Sep 4-22, 2018
  • David Palmer
    Massachusetts Institute of Technology
    Oct 15-19, 2018
  • Pablo Parrilo
    Massachusetts Institute of Technology
    Oct 15-19, 2018
  • Beatriz Pascual Escudero
    Ecole Centrale de Nantes
    Nov 12-16, 2018
  • Dmitrii Pasechnik
    Oxford University
    Sep 1-Dec 7, 2018; Oct 15-19, 2018
  • Elisa Perrone
    MIT
    Nov 12-16, 2018
  • Chris Peterson
    Colorado State University
    Sep 16-22, 2018; Oct 15-20, 2018
  • Alexander Pilyavsky
    Private
    Nov 12-16, 2018
  • Daniel Plaumann
    TU Dortmund University
    Sep 6-Oct 4, 2018
  • Mark Plecnik
    University of California, Berkeley
    Nov 12-16, 2018
  • Tefjol Pllaha
    University of Kentucky
    Nov 12-16, 2018
  • Andrew Pryhuber
    University of Washington
    Sep 16-22, 2018; Oct 15-19, 2018; Nov 12-16, 2018
  • Yang Qi
    University of Chicago
    Oct 15-19, 2018
  • Kristian Ranestad
    University of Oslo
    Sep 4-Dec 1, 2018; Oct 15-19, 2018
  • Alberto Ravagnani
    University College Dublin
    Nov 12-16, 2018
  • Annie Raymond
    University of Massachusetts, Amherst
    Oct 15-19, 2018
  • Alexander Razborov
    University of Chicago
    Oct 14-18, 2018
  • Margaret Regan
    University of Notre Dame
    Sep 5-Dec 7, 2018; Oct 15-19, 2018
  • Yue Ren
    Max Planck Institute
    Sep 17-21, 2018; Nov 11-17, 2018
  • Felipe Rincón
    Queen Mary University of London
    Sep 5-26, 2018
  • Elina Robeva
    MIT
    Sep 10-12, 2018
  • Jose Rodriguez
    University of Wisconsin-Madison
    Sep 17-21, 2018; Nov 8-17, 2018
  • Michael Ruddy
    North Carolina State University
    Sep 5-Dec 7, 2018; Oct 15-19, 2018
  • Mohab Safey El Din
    Sorbonne University
    Oct 13-Nov 17, 2018; Oct 15-19, 2018
  • James Saunderson
    Monash University
    Oct 15-19, 2018
  • Mahrud Sayrafi
    University of Minnesota
    Sep 17-21, 2018
  • Claus Scheiderer
    Universität Konstanz
    Oct 15-19, 2018
  • Hal Schenck
    Iowa State University
    Nov 11-17, 2018
  • Georgy Scholten
    North Carolina State University
    Sep 2-Dec 7, 2018; Oct 15-19, 2018
  • Tselil Schramm
    Harvard/MIT
    Oct 15-19, 2018
  • Anna Seigal
    UC Berkeley
    Oct 14-19, 2018
  • Yoshiyuki Sekiguchi
    Tokyo University of Marine Science and Technology
    Oct 15-19, 2018
  • isabelle Shankar
    University of California, Berkeley
    Oct 15-19, 2018
  • Samantha Sherman
    University of Notre Dame
    Sep 5-Dec 7, 2018; Oct 15-19, 2018
  • Anne Shiu
    Texas A&M University
    Nov 12-16, 2018
  • Joseph Silverman
    Brown University
    Nov 12-16, 2018
  • Lily Silverstein
    University of California Davis
    Sep 1-Dec 9, 2018; Oct 15-19, 2018
  • Faye Pasley Simon
    North Carolina State University
    Sep 5-Dec 7, 2018; Oct 15-19, 2018
  • Rainer Sinn
    FU Berlin
    Sep 5-Oct 20, 2018; Oct 15-19, 2018
  • Michael Snarski
    Brown University
    Nov 12-16, 2018
  • Luca Sodomaco
    University of Florence
    Sep 5-Dec 7, 2018; Oct 15-19, 2018
  • Jeffrey Sommars
    University of Illinois at Chicago
    Sep 28-Oct 6, 2018
  • Andrew Sommese
    University of Notre Dame
    Sep 13-Oct 4, 2018
  • Joungmin Song
    GIST
    Oct 15-19, 2018
  • Dogyoon Song
    MIT
    Oct 15-19, 2018
  • Ivan Soprunov
    Cleveland State University
    Nov 12-16, 2018
  • Frank Sottile
    Texas A&M University
    Sep 5-30, 2018; Nov 1-16, 2018
  • Nikhil Srivastava
    UC Berkeley
    Oct 14-16, 2018
  • Allen (AJ) Stewart
    Seattle University
    Sep 5-23, 2018
  • Mike Stillman
    Cornell University
    Sep 6-13, 2018; Sep 19-23, 2018; Oct 8-13, 2018; Oct 17-24, 2018; Nov 4-11, 2018
  • Bernd Sturmfels
    MPI Leipzig
    Oct 14-20, 2018
  • Agnes Szanto
    North Carolina State University
    Oct 2-Dec 7, 2018
  • Matteo Tacchi
    LAAS - CNRS
    Sep 17-21, 2018
  • Xindong Tang
    University of California, San Diego
    Oct 15-19, 2018
  • Xiaoxian Tang
    Texas A&M University
    Oct 1-Nov 30, 2018
  • Simon Telen
    KU Leuven
    Sep 17-21, 2018
  • Thorsten Theobald
    Goethe University Frankfurt
    Oct 14-28, 2018
  • Louis Theran
    University of St Andrews
    Oct 8-26, 2018
  • Rekha Thomas
    University of Washington
    Oct 14-20, 2018
  • Angelica Torres
    University of Copenhagen
    Nov 12-16, 2018
  • Matthew Trager
    NYU
    Oct 15-19, 2018
  • Ngoc Mai Tran
    University of Texas at Austin
    Nov 12-16, 2018
  • Shubhendu Trivedi
    ICERM
    Oct 4, 2018-May 31, 2019
  • Elias Tsigaridas
    INRIA
    Sep 5-Dec 3, 2018
  • Levent Tuncel
    University of Waterloo
    Oct 15-19, 2018
  • Marilyn Vazquez Landrove
    ICERM
    Sep 1, 2018-May 31, 2019
  • Mauricio Velasco
    Universidad de Los Andes
    Oct 15-19, 2018
  • Nelly Villamizar
    Swansea University
    Oct 15-19, 2018
  • Cynthia Vinzant
    North Carolina State
    Sep 4-Dec 8, 2018
  • Elise Walker
    Texas A&M University
    Sep 17-21, 2018
  • Charles Wampler
    General Motors
    Sep 15-30, 2018
  • Madeleine Weinstein
    University of California Berkeley
    Oct 7-20, 2018
  • Dane Wilburne
    Illinois Institute of Technology
    Sep 4-Dec 8, 2018
  • Ruth Williams
    University of California, San Diego
    Oct 28-Nov 17, 2018
  • Zi Yang
    UC San Diego
    Oct 15-19, 2018
  • Ke Ye
    Chinese Academy of Sciences
    Sep 4-12, 2018; Sep 16-21, 2018
  • Ruriko Yoshida
    Naval Postgraduate School
    Sep 16-22, 2018
  • Josephine Yu
    Georgia Institute of Technology
    Sep 1-Dec 7, 2018
  • Chenyang Yuan
    MIT
    Oct 15-19, 2018
  • Lihong Zhi
    Academia Sinica
    Sep 15-Oct 20, 2018
  • Yuyu Zhu
    Texas A&M University
    Oct 15-19, 2018

Visit dates listed on the participant list may be tentative and subject to change without notice.

Semester Schedule

Wednesday, September 5, 2018
TimeEventLocationMaterials
8:30 - 8:45am EDTCheck-In/Registration11th Floor Lecture Hall 
8:45 - 9:00am EDTICERM Welcome - Brendan Hassett and ICERM staff  
9:00 - 10:00am EDTNon Linear Algebra at the ICERM - Frank Sottile, Texas A&M University11th Floor Lecture Hall 
10:00 - 10:30am EDTCoffee/Tea Break  
10:30 - 11:30am EDTSoftware for tropical geometry - Diane Maclagan, University of Warwick11th Floor Lecture Hall 
10:45 - 11:45am EDTTBD - Cynthia Vinzant, North Carolina State11th Floor Lecture Hall 
11:30 - 1:00pm EDTBrainstorming Groups - forming questions for afternoon - lunch provided11th Floor 
1:00 - 1:30pm EDTBrown Card Office - Sponsored IDs  
1:30 - 2:00pm EDTQ&A11th Floor Lecture Hall 
2:00 - 3:00pm EDTGroup or Individual Work  
3:00 - 3:30pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00pm EDTGroup or Individual Work  
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Thursday, September 6, 2018
TimeEventLocationMaterials
9:00 - 10:00am EDTReal and convex algebraic geometry - Cynthia Vinzant, North Carolina State University11th Floor Lecture Hall 
10:00 - 10:30am EDTCoffee/Tea Break  
10:30 - 11:30am EDTTBD - Diego Cifuentes, MIT11th Floor Lecture Hall 
11:30 - 1:00pm EDTBreak for Lunch  
1:00 - 2:00pm EDTQ&A11th Floor Lecture Hall 
2:00 - 3:00pm EDTGroup or Individual Work  
3:00 - 3:30pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00pm EDTGroup of Individual Work  
Friday, September 7, 2018
TimeEventLocationMaterials
10:00 - 10:30am EDTQ&A11th Floor Lecture Hall 
10:30 - 12:00pm EDTGroup or Individual Work  
12:00 - 2:00pm EDTBreak for Lunch/Free Time  
2:00 - 3:00pm EDTSolutions from Groups and Other Discussion11th Floor Lecture Hall 
3:00 - 3:30pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:30pm EDTSolutions from Groups and Other Discussion11th Floor Lecture Hall 
Monday, September 10, 2018
TimeEventLocationMaterials
9:00 - 10:00am EDTFoundations of Numerical Algebraic Geometry - Jonathan Hauenstein, University of Notre Dame11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break  
10:30 - 11:30am EDTTechniques for real solutions to nonlinear algebraic systems - Danielle Brake, University of Wisconsin Eau Claire11th Floor Lecture Hall 
11:30 - 1:00pm EDTBrainstorming Groups - forming questions for afternoon - lunch provided11th Floor 
1:00 - 2:00pm EDTQ&A11th Floor Lecture Hall 
2:00 - 3:00pm EDTGroup or Individual Work  
3:00 - 3:30pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00pm EDTGroup or Individual Work  
Tuesday, September 11, 2018
TimeEventLocationMaterials
9:00 - 10:00am EDTTBD - Thomas Kahle, Otto-von-Guericke Unversität11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break  
10:30 - 11:30am EDTGraphical models from an algebraic perspective - Elina Robeva, MIT11th Floor Lecture Hall
11:30 - 1:00pm EDTBreak for Lunch  
1:00 - 2:00pm EDTQ&A11th Floor Lecture Hall 
2:00 - 3:00pm EDTGroup or Individual Work  
3:00 - 3:30pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00pm EDTGroup or Individual Work  
Wednesday, September 12, 2018
TimeEventLocationMaterials
10:00 - 10:30am EDTQ&A11th Floor Lecture Hall 
10:30 - 12:00pm EDTGroup or Individual Work  
12:00 - 1:30pm EDTBreak for Lunch/Free Time  
1:30 - 2:30pm EDTSolutions from Groups and Other Discussion11th Floor Lecture Hall 
2:30 - 3:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:00 - 4:00pm EDTSolutions from Groups and Other Discussion11th Floor Lecture Hall 
Thursday, September 13, 2018
TimeEventLocationMaterials
9:30 - 10:00am EDTGraduate Student Introductions11th Floor Lecture Hall 
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:30am EDTGraduate Student Introductions11th Floor Lecture Hall 
11:30 - 12:30pm EDTBreak for Lunch/Free time  
12:30 - 2:00pm EDTForum on Applying for Jobs - Frank Sottile, Texas A&M University11th Floor Lecture 
3:30 - 4:00pm EDTCoffee/Tea Break  
Friday, September 14, 2018
TimeEventLocationMaterials
9:30 - 10:30am EDTPostdoc Introductions11th Floor Lecture Hall 
10:30 - 11:00am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 11:45am EDTPostdoc Introductions11th Floor Lecture Hall 
12:00 - 2:00pm EDTBreak for Lunch/Free time  
3:00 - 4:00pm EDTMentoring Tea11th Floor Collaborative Space 
Monday, September 17, 2018
TimeEventLocationMaterials
8:30 - 8:55am EDTRegistration - ICERM 121 South Main Street, Providence RI 0290311th Floor Collaborative Space 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:50am EDTComputing Subschemes of the Border Basis Scheme - Martin Kreuzer, University of Passau11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:20am EDTTime-Varying Semidefinite Programs - Amir Ali Ahmadi, Princeton University11th Floor Lecture Hall
11:30 - 12:20pm EDTCoCoA News 2018 - Anna Bigatti, Universita' degli Studi di Genova11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:20pm EDTPolyhedral computations in polynomial system solving - Anders Jensen, Aarhus Universitet11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:50pm EDTsage.geometry.polyhedron - Matthias Koeppe, University of California Davis11th Floor Lecture Hall
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, September 18, 2018
TimeEventLocationMaterials
9:00 - 9:50am EDT"Chordal" package- Exploiting graphical structure in polynomial ideals - Diego Cifuentes, Massachusetts Institute of Technology11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:20am EDTSegre-Driven Algorithms to Test Ideal Membership and Compute Algebraic Multiplicity - Martin Helmer, University of Copenhagen11th Floor Lecture Hall
11:30 - 12:20pm EDTComputing Multiple Zeros of Polynomial Systems - Lihong Zhi, Academy of Mathematics and Systems Science, CAS11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:20pm EDTMultiprecision- solving and causing problems - Danielle Brake, University of Wisconsin - Eau Claire11th Floor Lecture Hall
3:30 - 5:30pm EDTPoster Session and Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, September 19, 2018
TimeEventLocationMaterials
9:00 - 9:50am EDTAlgorithms in tropical geometry - Diane Maclagan, University of Warwick11th Floor Lecture Hall
10:00 - 10:30am EDTComputer vision working group10th Floor Classroom 
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:20am EDTCore computational methods in tropical algebraic geometry - Yue Ren, Max Planck Institute11th Floor Lecture Hall
11:30 - 12:20pm EDTTropical Principal Component Analysis and its Application to Phylogenetics - Ruriko Yoshida, Naval Postgraduate School11th Floor Lecture Hall
12:30 - 12:40pm EDTGroup Photo11th Floor Lecture Hall 
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:20pm EDTAlgebraic Biology with Macaulay2 - Elizabeth Gross, University of Hawaii at Manoa11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, September 20, 2018
TimeEventLocationMaterials
9:00 - 9:50am EDTNumerical Function Patches for 1D and 2D Real Algebraic Cell Decompositions - Charles Wampler, General Motors R&D11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:20am EDTFiber product homotopy method for multiparameter eigenvalue problems - Jose Rodriguez, University of Wisconsin-Madison11th Floor Lecture Hall
11:30 - 12:20pm EDTRandom Monomial Ideals - Lily Silverstein, University of California Davis11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
1:00 - 2:00pm EDTMatrix completion working group10th Floor Classroom 
2:30 - 3:20pm EDTComputational tools for FI-algebras - Robert Krone, University of California Davis11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:50pm EDTNumerical approximations- sometimes being close is good enough - Chris Peterson, Colorado State University11th Floor Lecture Hall
Friday, September 21, 2018
TimeEventLocationMaterials
9:00 - 9:50am EDTBKK bound and polyhedral homotopy - Tianran Chen, Auburn University at Montgomery11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:20am EDTProof-of-work Certificates for High Complexity Mathematical Computations - Erich Kaltofen, NCSU and Duke University11th Floor Lecture Hall
11:30 - 1:30pm EDTBreak for Lunch / Free Time  
3:30 - 7:00pm EDTAGNES Conference at Brown University 
Saturday, September 22, 2018
TimeEventLocationMaterials
9:00 - 5:00pm EDTAGNES Conference at Brown University 
Sunday, September 23, 2018
TimeEventLocationMaterials
9:00 - 5:00pm EDTAGNES Conference at Brown University 
Monday, September 24, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTWhat is a gaussoid? - Thomas Kahle, Otto-von-Guericke Unversität10th Floor 
2:00 - 3:00pm EDTGaussian Graphical Models Working Group - Elizabeth Gross, Elias Tsigaridas and Sara Lamboglia11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, September 25, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTBinomial primary decomposition in Macaulay2 - Thomas Kahle, Otto-von-Guericke Unversität11th Floor Lecture Hall 
11:00 - 12:30pm EDTNobodies Working Group - Frank Sottile11th Floor Lecture Hall 
2:30 - 3:30pm EDTPostDoc Grad Student Seminar- Welcome to the World of SONCs - Mareike Dressler, ICERM11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, September 26, 2018
TimeEventLocationMaterials
2:30 - 3:30pm EDTVision Working Group - Ricardo Fabbri10th Floor Classroom 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, September 27, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTMatrix Completion Working Group - Daniel Bernstein, MIT11th Floor Conference Room 
2:30 - 3:30pm EDTComputing Convex Hulls of Trajectories - Nidhi Kaihnsa, Max Planck Institute, MIS, Leipzig11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTMain Seminar - The n body and Cayley-Menger determinants - Peter Olver, University of Minnesota11th Floor Lecture Hall
Friday, September 28, 2018
TimeEventLocationMaterials
11:00 - 12:00pm EDTNobodies Working Group - Frank Sottile11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, October 1, 2018
TimeEventLocationMaterials
11:00 - 12:30pm EDTReserved for repair11th Floor Lecture Hall 
2:00 - 3:00pm EDTGraphical Model Reading Group - Elizabeth Gross, Elias Tsigaridas and Sara Lamboglia11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, October 2, 2018
TimeEventLocationMaterials
2:30 - 3:30pm EDTPostDoc Grad Student Seminar- Probabilistic nonlinear algebra - Dane Wilburne, Illinois Institute of Technology11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, October 3, 2018
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development: Ethics I - Mandatory for all NSF funded Graduate Students and Postdocs11th Floor Lecture Hall 
10:00 - 11:00am EDTTropical Convexity reading group - Cvetelina Hill10th Floor Classroom 
2:30 - 3:30pm EDTVision Working Group - Ricardo Fabbri11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTMain Seminar - Numberphile show - David Eisenbud, MSRI11th Floor Lecture Hall 
Thursday, October 4, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTMatrix Completion Working Group - Daniel Bernstein, MIT11th Floor Conference Room 
2:30 - 3:30pm EDTMain Seminar - TBA - Michael Burr, Clemson University11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTMain Seminar - Numerical computation of the homology of semialgebraic sets - Peter Burgisser, Technical University Berlin11th Floor Lecture Hall
Friday, October 5, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTNOBodies Working Group - Frank Sottile11th Floor Lecture Hall 
1:00 - 2:00pm EDTPrimary decomposition group - Justin Chen and Organizers11th Floor Lecture Hall 
2:30 - 3:30pm EDTRepresenting Nonlinear Algebra in Wikipedia - Danielle Brake11th Floor Conference Room 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, October 8, 2018
TimeEventLocationMaterials
2:00 - 3:00pm EDTGraphical Model Reading Group - Elizabeth Gross, Elias Tsigaridas and Sara Lamboglia11th Floor Lecture Hall 
Tuesday, October 9, 2018
TimeEventLocationMaterials
2:30 - 3:30pm EDTPostDoc Grad Student Seminars- A Knot between convex algebraic geometry and non-linear algebra - Papri Dey, IIT Bombay11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, October 10, 2018
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development: Ethics II - Mandatory for all NSF funded Graduate Students and Postdocs11th Floor Lecture Hall 
10:00 - 11:00am EDTTropical Convexity reading group - Cvetelina Hill10th Floor Classroom 
2:30 - 3:30pm EDTVision Working Group - Ricardo Fabbri11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, October 11, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTMatrix Completion Working Group - Daniel Bernstein, MIT11th Floor Conference Room 
2:30 - 3:30pm EDTMain Seminar - Nonlinear algebra aspects of coding theory - Elisa Gorla, University of Neuchatel11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTMain Seminar - Apolarity and powersum varieties, old and new results - Kristian Ranestad, University of Oslo11th Floor Lecture Hall
Friday, October 12, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTNOBodies Working Group - Frank Sottile11th Floor Lecture Hall 
1:00 - 2:00pm EDTPrimary decomposition group - Justin Chen and Organizers11th Floor Lecture Hall 
2:30 - 3:30pm EDTRepresenting Nonlinear Algebra in Wikipedia - Danielle Brake11th Floor Conference Room 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, October 15, 2018
TimeEventLocationMaterials
8:30 - 8:55am EDTRegistration - ICERM 121 South Main Street, Providence RI 0290311th Floor Collaborative Space 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am EDTReal Geometry of Matrix Completion - Rainer Sinn, FU Berlin11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTOn Convexity of Polynomials over a Box - Georgina Hall, INSEAD Business School11th Floor Lecture Hall
11:30 - 12:15pm EDTLearning Paths from Signature Tensors - Anna Seigal, UC Berkeley11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:45 - 3:30pm EDTLowerbounds on semidefinite representations of hyperbolic programs - Nikhil Srivastava, UC Berkeley11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTStrict Complementarity in Convex Algebraic Geometry (with a focus on Elliptopes) - Levent Tuncel, University of Waterloo11th Floor Lecture Hall
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, October 16, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTOn the stability of semidefinite relaxations - Diego Cifuentes, MIT11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTThe Geometry of SDP-Exactness in Quadratic Optimization - Bernd Sturmfels, MPI Leipzig11th Floor Lecture Hall
11:30 - 12:15pm EDTCertificates of polynomial nonnegativity via hyperbolic optimization - James Saunderson, Monash University11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTNegative dependence and Hodge-Riemann relations - Petter Branden, KTH Royal Institute of Technology11th Floor Lecture Hall
3:30 - 5:00pm EDTCoffee/Tea Break and Poster Session11th Floor Collaborative Space 
Wednesday, October 17, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTFast algebraic solvers for computer vision problems - Zuzana Kúkelová, Czech Technical University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTCamera Configurations and Viewing Graphs - Matthew Trager, NYU11th Floor Lecture Hall
11:30 - 12:15pm EDTTowards algorithms for analyzing the topology of semi-algebraic sets - Mohab Safey El Din, Sorbonne University11th Floor Lecture Hall
12:30 - 12:40pm EDTGroup Photo11th Floor Lecture Hall 
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTPythagoras numbers of projective varieties - Mauricio Velasco, Universidad de Los Andes11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTConvex sets without representation as spectrahedral shadow - Claus Scheiderer, Universität Konstanz11th Floor Lecture Hall
Thursday, October 18, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTLarge Graphs and Symmetric Sums of Squares - Annie Raymond, University of Washington11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTThe Tale of One Variety (And Its Family) - Alexander Razborov, University of Chicago11th Floor Lecture Hall
11:30 - 12:15pm EDTLower Bounds on Sums-of-Squares Proof-Size - Albert Atserias, Universitat Politècnica de Catalunya11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTSpectral Algorithms Capture Sum-of-Squares on Average - Tselil Schramm, Harvard University and MIT11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTEfficient Algorithms for Distributional Problems via Sum-of-Squares Proofs - Pravesh Kothari, Institute for Advanced Study and Princeton University11th Floor Lecture Hall
Friday, October 19, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTNon-commutative Sums of Squares in Quantum Information - Sabine Burgdorf, University of Konstanz11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTThe Paulsen Problem Made Simple - Ankur Moitra, MIT11th Floor Lecture Hall
11:30 - 12:15pm EDTSlack variety of a polytope and its applications - João Gouveia, University of Coimbra11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTPolyhedral approximations of the positive semidefinite cone - Hamza Fawzi, University of Cambridge11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTAn Experimental Comparison of SONC and SOS Certificates for Unconstrained Optimization - Timo de Wolff, Technical University Berlin11th Floor Lecture Hall
Monday, October 22, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTVersion control with Git - Danielle Brake10th Floor Classroom 
11:00 - 12:00pm EDTMain Seminar- What is Persistence - Wojciech Chacholski, KTH11th Floor Lecture Hall
12:00 - 12:15pm EDTSemester Program Group Photo11th Floor Lecture Hall 
12:20 - 12:35pm EDTPostDoc Grad Student Group Photo11th Floor Lecture Hall 
2:00 - 3:00pm EDTGraphical Model Reading Group - Elizabeth Gross, Elias Tsigaridas and Sara Lamboglia11th Floor Conference Room 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, October 23, 2018
TimeEventLocationMaterials
2:30 - 3:30pm EDTPostDoc Grad Student Seminars - Implicitization of tensor product surfaces with basepoints via residual resultants - Eliana Duarte Gelvez, Otto von Guericke Universität Magdeburg11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, October 24, 2018
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development: Job Applications in Academia11th Floor Lecture Hall 
10:00 - 11:00am EDTTropical Convexity reading group - Cvetelina Hill10th Floor Classroom 
2:30 - 3:30pm EDTVision Working Group - Ricardo Fabbri11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, October 25, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTMatrix Completion Working Group - Daniel Bernstein11th Floor Lecture Hall 
2:30 - 3:30pm EDTMain Seminar- Conic stability of polynomials - Thorsten Theobald, Goethe University Frankfurt11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTMain Seminar- Quadratic Persistence of Varieties - Greg Blekherman, Georgia Tech11th Floor Lecture Hall 
Friday, October 26, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTNOBodies Working Group - Frank Sottile11th Floor Lecture Hall 
2:30 - 3:30pm EDTRepresenting Nonlinear Algebra in Wikipedia - Danielle Brake11th Floor Conference Room 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
6:00 - 8:00pm EDTRose Whelan Society Wine and Cheese Event11th Floor Collaborative Space 
Monday, October 29, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTVersion control with Git - Danielle Brake10th Floor Classroom 
2:00 - 3:00pm EDTGraphical Model Reading Group - Elizabeth Gross, Elias Tsigaridas and Sara Lamboglia11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, October 30, 2018
TimeEventLocationMaterials
2:00 - 2:30pm EDTPractice Talk- Implicit Symmetric Tensor Decomposition - Sam Sherman, Notre Dame University11th Floor Lecture Hall
2:30 - 3:30pm EDTPostDoc Grad Student Seminar- Computing unit groups - Justin Chen, Georgia Institute of Technology11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, October 31, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTTropical Convexity reading group - Cvetelina Hill10th Floor Classroom 
2:30 - 3:30pm EDTMain Seminar - Algebraic methods for the study of biochemical reaction networks - Alicia Dickenstein, University of Buenos Aires11th Floor Lecture Hall
2:30 - 3:30pm EDTVision Working Group - Ricardo Fabbri11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, November 1, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTMatrix Completion Working Group - Daniel Bernstein10th Floor Classroom 
2:30 - 3:30pm EDTRepresenting Nonlinear Algebra in Wikipedia - Danielle Brake10th Floor Classroom 
3:30 - 4:00pm EDTCoffee/Tea Break10th Floor Collaborative Space (near small library) 
Friday, November 2, 2018
TimeEventLocationMaterials
10:00 - 11:00am EDTNOBodies Working Group - Frank Sottile10th Floor Classroom 
1:00 - 2:00pm EDTPrimary decomposition group - Justin Chen and Organizers10th Floor Classroom 
3:30 - 4:00pm EDTCoffee/Tea Break10th Floor Collaborative Space (near small library) 
Monday, November 5, 2018
TimeEventLocationMaterials
10:00 - 11:00am ESTVersion control with Git - Danielle Brake10th Floor Classroom 
2:00 - 3:00pm ESTGraphical Model Reading Group - Elizabeth Gross, Elias Tsigaridas and Sara Lamboglia11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, November 6, 2018
TimeEventLocationMaterials
2:30 - 3:30pm ESTPostDoc Grad Student Seminars- Tropical Fano schemes - Sara Lamboglia, Goethe-Universität Frankfurt11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm ESTMain Seminar - An almost sharp degree bound for sums of squares certificates for quaternary quartics - Dmitrii Pasechnik, Oxford University11th Floor Lecture Hall 
Wednesday, November 7, 2018
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development: Hiring Process11th Floor Lecture Hall 
2:30 - 3:30pm ESTMain Seminar - Algebraic Algorithms- The era of computational non-linear algebra - Elias Tsigaridas, INRIA11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm ESTVision Working Group - Peter Olver & Tomas Pajdla11th Floor Lecture Hall 
Thursday, November 8, 2018
TimeEventLocationMaterials
10:00 - 11:00am ESTMatrix Completion Working Group - Daniel Bernstein11th Floor Lecture Hall 
11:00 - 12:00pm ESTTropical Convexity reading group - Cvetelina Hill10th Floor Classroom 
3:30 - 4:00pm ESTCoffee/Tea Break10th Floor Collaborative Space (near small library) 
Friday, November 9, 2018
TimeEventLocationMaterials
10:00 - 11:00am ESTNOBodies Working Group - Frank Sottile11th Floor Lecture Hall 
1:00 - 2:00pm ESTPrimary decomposition group - Justin Chen and Organizers10th Floor Classroom 
2:30 - 3:30pm ESTRepresenting Nonlinear Algebra in Wikipedia - Danielle Brake10th Floor Classroom 
3:30 - 4:00pm ESTCoffee/Tea Break10th Floor Collaborative Space (near small library) 
Monday, November 12, 2018
TimeEventLocationMaterials
8:30 - 8:55am ESTRegistration - ICERM 121 South Main Street, Providence RI 0290311th Floor Collaborative Space 
8:55 - 9:00am ESTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am ESTNewton Polytopes and Relative Entropy Optimization - Venkat Chandrasekaran, Caltech11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTMaximum Likelihood Estimation of Totally Positive Densities - Elina Robeva, MIT11th Floor Lecture Hall
11:30 - 12:15pm ESTStochastic Exploration of Real Varieties - David Kahle, Baylor University11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTPatterns in Calabi-Yau Threefolds - Vishnu Jejjala, University of the Witwatersrand11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTStratifying Multiparameter Persistent Homology - Hal Schenck, Iowa State University11th Floor Lecture Hall
5:00 - 6:30pm ESTWelcome Reception11th Floor Collaborative Space 
Tuesday, November 13, 2018
TimeEventLocationMaterials
9:00 - 9:45am ESTCodes and Designs over GF(q) - Eimear Byrne, University College Dublin11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTNetwork Coding and the Rank Metric - Alberto Ravagnani, University College Dublin11th Floor Lecture Hall
11:30 - 12:15pm ESTHide-and-Seek with Quadratic Forms and Finite Field Isomorphisms - Joe Silverman, Brown University11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTApplications of Numerical Homotopy Continuation to Mechanism Design - Mark Plecnik, University of California - Berkeley11th Floor Lecture Hall
3:30 - 5:30pm ESTPoster Session and Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, November 14, 2018
TimeEventLocationMaterials
9:00 - 9:45am ESTThe distance function from a real algebraic variety - Giorgio Ottaviani, University of Florence11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTAlgorithm for rank and cactus rank of a polynomial - Alessandra Bernardi, University of Trento11th Floor Lecture Hall
11:30 - 12:15pm ESTTBA - Gretchen Matthews, Virginia Tech11th Floor Lecture Hall 
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTTBA - Jose Rodriguez, University of Wisconsin - Madison11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTNonlinear algebra for network models - Dane Wilburne, ICERM11th Floor Lecture Hall 
Thursday, November 15, 2018
TimeEventLocationMaterials
9:00 - 9:45am ESTReconstructing hybridization networks - Elizabeth Allman, University of Alaska - Fairbanks11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTInvariants of even ternary forms , under the orthogonal group, as biomarkers - Evelyne Hubert, Inria Mediterranee11th Floor Lecture Hall
11:30 - 12:15pm ESTRecent advances in Mathematical Virology - Pierre-Philippe Dechant, York St. John University11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
1:00 - 2:00pm ESTLGBTQ+ Lunch11th Floor Conference Room 
2:30 - 3:15pm ESTIdentifiability of linear compartment models- input-output equations and the singular locus - Anne Shiu, Texas A&M University11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTGraphs, network motifs, and threshold-linear algebra in the brain - Carina Curto, The Pennsylvania State University11th Floor Lecture Hall
Friday, November 16, 2018
TimeEventLocationMaterials
9:00 - 9:45am ESTComparing models and biological data using computational algebra and topology - Heather Harrington, University of Oxford11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTCalabi-Yau Manifolds, Discrete Symmetries and String Theory - Challenger Mishra, ICMAT - Madrid11th Floor Lecture Hall
11:30 - 12:15pm ESTMinimal Problems in Computer Vision - Tomas Pajdla,Czech Technical University in Prague11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTNonlinear algebra and matrix completion - Daniel Bernstein, MIT11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, November 19, 2018
TimeEventLocationMaterials
11:00 - 12:00pm ESTMain Seminar - Statistical Estimation Under Group Actions, with Applications to Cryo-Electron Microscopy - Joe Kileel, Princeton University11th Floor Lecture Hall
2:00 - 3:00pm ESTGraphical Model Reading Group - Elizabeth Gross, Elias Tsigaridas and Sara Lamboglia11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, November 20, 2018
TimeEventLocationMaterials
2:30 - 3:30pm ESTPostDoc Grad Student Seminars- Multistationarity in Structured Reaction Networks - Xiaoxian Tang, Texas A&M University11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, November 21, 2018
TimeEventLocationMaterials
10:00 - 11:00am ESTTropical Convexity reading group - Cvetelina Hill10th Floor Classroom 
2:30 - 3:30pm ESTVision Working Group - Ricardo Fabbri11th Floor Lecture Hall 
Friday, November 23, 2018
TimeEventLocationMaterials
10:00 - 11:00am ESTNOBodies Working Group - Frank Sottile11th Floor Lecture Hall 
1:00 - 2:00pm ESTPrimary decomposition group - Justin Chen and Organizers11th Floor Lecture Hall 
2:30 - 3:30pm ESTRepresenting Nonlinear Algebra in Wikipedia - Danielle Brake11th Floor Collaborative Space 
Monday, November 26, 2018
TimeEventLocationMaterials
10:00 - 11:00am ESTVersion control with Git - Danielle Brake10th Floor Classroom 
2:00 - 3:00pm ESTGraphical Model Reading Group - Elizabeth Gross, Elias Tsigaridas and Sara Lamboglia11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, November 27, 2018
TimeEventLocationMaterials
2:30 - 3:30pm ESTMain Seminar - From Causal Inference to Gene Regulation - Caroline Uhler, MIT11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, November 28, 2018
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development: Papers and Journals11th Floor Lecture Hall 
10:00 - 11:00am ESTTropical Convexity reading group - Cvetelina Hill10th Floor Classroom 
1:30 - 2:30pm ESTFrame theory afternoon - Lectures with Cynthia Vinzant, Taylor Brysiewicz, Xiaoxian Tang & Daniel Bernstein11th Floor Lecture Hall 
2:30 - 3:30pm ESTComputer Vision: Ben Kimia - Benjamin Kimia, Brown University11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:30pm ESTFrame theory afternoon - Open Problem Discussion11th Floor Lecture Hall 
Thursday, November 29, 2018
TimeEventLocationMaterials
10:00 - 11:00am ESTMatrix Completion Working Group - Daniel Bernstein11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Friday, November 30, 2018
TimeEventLocationMaterials
10:00 - 11:00am ESTNOBodies Working Group - Frank Sottile11th Floor Lecture Hall 
1:00 - 2:00pm ESTPrimary decomposition group - Justin Chen and Organizers11th Floor Lecture Hall 
2:30 - 3:30pm ESTRepresenting Nonlinear Algebra in Wikipedia - Danielle Brake11th Floor Collaborative Space 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, December 3, 2018
TimeEventLocationMaterials
10:00 - 11:00am ESTVersion control with Git - Danielle Brake10th Floor Classroom 
2:00 - 3:00pm ESTGraphical Model Reading Group - Elizabeth Gross, Elias Tsigaridas and Sara Lamboglia11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, December 4, 2018
TimeEventLocationMaterials
2:30 - 3:30pm ESTPostDoc Grad Student Seminars- Moment Varieties of Measures on Polytopes - Kathleén Kohn, ICERM11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, December 5, 2018
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development: Grant Proposals11th Floor Lecture Hall 
10:00 - 11:00am ESTTropical Convexity reading group - Cvetelina Hill10th Floor Classroom 
2:30 - 3:30pm ESTVision Working Group - Ricardo Fabbri11th Floor Lecture Hall 
3:30 - 4:00pm ESTCake and Coffee/Tea Break11th Floor Collaborative Space 
Thursday, December 6, 2018
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Friday, December 7, 2018
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 

Associated Semester Workshops

Nonlinear Algebra Bootcamp
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Core Computational Methods
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Real Algebraic Geometry and Optimization
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Nonlinear Algebra in Applications
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Publications

  • Petr Hruby, Timothy Duff, Anton Leykin, Tomas Pajdla, Learning to Solve Hard Minimal Problems, arXiv:2112.03424, 2021.
  • Ricardo Fabbri, Timothy Duff, Hongyi Fan, Margaret Regan, David da Costa de Pinho, Elias Tsigaridas, Charles Wampler, Jonathan Hauenstein, Benjamin Kimia, Anton Leykin, Tomas Pajdla, Trifocal Relative Pose from Lines at Points and its Efficient Solution, arXiv:1903.09755, 2022.
  • Petr Hrub{\'y}, Timothy Duff, Anton Leykin, Tom{\'a}s Pajdla, Learning to Solve Hard Minimal Problems, 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) (2021), 5522-5532.
  • Khazhgali Kozhasov, Mateusz Michałek, Bernd Sturmfels, Positivity Certificates via Integral Representations, arXiv 1908.04191 (2019).
  • Angelos Mantzaflaris, Bernard Mourrain, Agnes Szanto, Punctual Hilbert scheme and certified approximate singularities, Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation (2020).
  • Felipe Rinc{\'o}n, Cynthia Vinzant, Josephine Yu, Positively hyperbolic varieties, tropicalization, and positroids, arXiv 1907.08545 (2019).
  • Peter B{\"u}rgisser, Antonio Marcondes Ler{\'a}rio, Probabilistic Schubert calculus, Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal) 2020 (2016), 1 - 58.
  • Kathl{\'e}n Kohn, Kristian Ranestad, Projective Geometry of Wachspress Coordinates, Found. Comput. Math. 20 (2020), 1135-1173.
  • Jonathan D. Hauenstein, Margaret H. Regan, Real monodromy action, Appl. Math. Comput. 373 (2020), 124983.
  • Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile, Thomas Yahl, Solving Decomposable Sparse Systems, Numer. Algorithms 88 (2021), 453-474.
  • Elisa Gorla, Daniela Mueller, Christophe Petit, Stronger bounds on the cost of computing Gröbner bases for HFE systems, Journal of Symbolic Computation 109 (2022), 386–398.
  • Diego Cifuentes, Thomas Kahle, Pablo Parrilo, Sums of squares in Macaulay2, Journal of Software for Algebra and Geometry 10 (2020) no. 1, 17–24.
  • Papri Dey, Daniel Plaumann, Testing Hyperbolicity of Real Polynomials, Mathematics in Computer Science 14 (2020), 111-121.
  • Justin Chen, Papri Dey, Papri Dey, The 4 × 4 Orthostochastic Variety, Experimental Mathematics 0 (2021) no. 0, 1-9.
  • Irénée Briquel, Peter Bürgisser, The real tau‐conjecture is true on average, Random Structures & Algorithms 57 (2020) no. 2, 279–303.
  • D. Bernstein, Robert Krone, The Tropical Cayley-Menger Variety, SIAM J. Discret. Math. 33 (2019), 1725-1742.
  • Peter Bürgisser, Cole Franks, Ankit Garg, Rafael Oliveira, Michael Walter, Avi Wigderson, Towards a Theory of Non-Commutative Optimization: Geodesic 1st and 2nd Order Methods for Moment Maps and Polytopes, 2019.
  • Daniel Irving Bernstein, Grigoriy Blekherman, Kisun Lee, Typical ranks in symmetric matrix completion, Journal of Pure and Applied Algebra (2021).
  • Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels, Madeleine Weinstein, Voronoi Cells of Varieties, J. Symb. Comput. 109 (2018), 351-366.
  • Winfried Bruns, Pedro A. Garc{\'i}a-S{\'a}nchez, Christopher O'Neill, Dane Wilburne, Wilf's conjecture in fixed multiplicity, Int. J. Algebra Comput. 30 (2020), 861-882.
  • Matthew Trager, Kathl{\'e}n Kohn, Joan Bruna, Pure and Spurious Critical Points: a Geometric Study of Linear Networks, arXiv 1910.01671 (2020).
  • Riley Murray, Helen Naumann, Thorsten Theobald, Sublinear Circuits and the Constrained Signomial Nonnegativity Problem, arXiv:2006.06811, 2020.
  • Jonathan D. Hauenstein, Samantha N. Sherman, Using monodromy to statistically estimate the number of solutions, arXiv 2005.00327 (2020).
  • Robert Krone, Kaie Kubjas, Nonnegative rank four boundaries, arXiv 1902.02868 (2019).
  • C. Hill, Sara Lamboglia, Faye Pasley Simon, Tropical convex hulls of infinite sets, arXiv 1912.01253 (2019).
  • Ricardo Fabbri, Timothy Duff, Hongyi Fan, Margaret H. Regan, David da Costa de Pinho, Elias P. Tsigaridas, Charles Wrampler, Jonathan D. Hauenstein, Benjamin B. Kimia, Anton Leykin, Tom{\'a}s Pajdla, Trifocal Relative Pose from Lines at Points and its Efficient Solution, arXiv 1903.09755 (2019).
  • M. Levent Dogan, Alperen Ali Erg{\"u}r, Jake D. Mundo, Elias P. Tsigaridas, The Multivariate Schwartz-Zippel Lemma, arXiv 1910.01095 (2019).
  • Taylor Brysiewicz, Fulvio Gesmundo, The Degree of Stiefel Manifolds., arXiv 1909.10085 (2019).
  • D. Bernstein, Cameron Farnsworth, J. Rodriguez, The algebraic matroid of the funtf variety, arXiv 1812.10353 (2018).
  • Giorgio Ottaviani, Zahra Shahidi, Tensors with eigenvectors in a given subspace, arXiv 2010.03843 (2020).
  • Giorgio Ottaviani, Philipp Reichenbach, Tensor Rank and Complexity, arXiv 2004.01492 (2020).
  • Jonathan D. Hauenstein, Martin Helmer, Probabilistic Saturations and Alt's Problem, arXiv 1908.06020 (2019).
  • Jiawang Nie, Ke Ye, Lihong Zhi, Symmetric Tensor Decompositions On Varieties, arXiv 2003.09822 (2020).
  • Grigoriy Blekherman, Rainer Sinn, Gregory G. Smith, Mauricio Velasco, Sums of Squares and Quadratic Persistence on Real Projective Varieties, arXiv 1902.02754 (2019).
  • Elisa Gorla, Rank-metric codes, arXiv 1902.02650 (2019).
  • Diane Maclagan, Josephine Yu, Higher Connectivity of Tropicalizations, arXiv 1908.05988 (2019).
  • Ngoc Thanh Do, Peter Kuchment, Frank Sottile, Generic properties of dispersion relations for discrete periodic operators, arXiv 1910.06472 (2019).
  • Mario Kummer, Rainer Sinn, Hyperbolic Secant Varieties of M-Curves, arXiv 2002.00486 (2020).
  • Michael Burr, A. Leykin, Inflation of poorly conditioned zeros of systems of analytic functions, arXiv 2009.05810 (2020).
  • Kathl{\'e}n Kohn, J. Mathews, Isotropic and coisotropic subvarieties of Grassmannians, arXiv 1901.06584 (2018).
  • Mareike Dressler, Robert Krone, Multiple typical ranks in matrix completion, arXiv 2010.09777 (2020).
  • Taylor Brysiewicz, Newton polytopes and numerical algebraic geometry, arXiv 2004.12177 (2020).
  • Justin Chen, Marc H{\"a}rk{\"o}nen, Robert Krone, Anton Leykin, Noetherian operators and primary decomposition, arXiv 2006.13881 (2020).
  • Michael A. Burr, Frank Sottile, Elise Walker, Numerical homotopies from Khovanskii bases, arXiv 2008.13055 (2020).
  • Jonathan D. Hauenstein, Ali Mohammad-Nezhad, Tingting Tang, Tam{\'a}s Terlaky, On computing the nonlinearity interval in parametric semidefinite optimization., arXiv 1908.10499 (2019).
  • Kisun Lee, Nan Li, Lihong Zhi, On isolation of singular zeros of multivariate analytic systems, arXiv 1904.07937 (2019).
  • Shmuel Friedland, Jingtong Ge, Lihong Zhi, Quantum Strassen’s theorem, arXiv 1905.06865 (2019).
  • Timothy Duff, Kathl{\'e}n Kohn, Anton Leykin, Tom{\'a}s Pajdla, PLMP - Point-Line Minimal Problems in Complete Multi-View Visibility, 2019 IEEE/CVF International Conference on Computer Vision (ICCV) (2019), 1675-1684.
  • Samantha N. Sherman, Jonathan D. Hauenstein, Charles W. Wampler, Curve Cognate Constructions Made Easy, 2020.
  • Abraham Mart{\'i}n del Campo, Frank Sottile, Robert Williams, Classification of Schubert Galois groups in Gr(4,9), arXiv 1902.06809 (2019).
  • Peter Bürgisser, Felipe Cucker, Pierre Lairez, Computing the Homology of Basic Semialgebraic Sets in Weak Exponential Time, Journal of the ACM 66 (2019) no. 1, 1–30.
  • Michael F. Adamer, Martin Helmer, Families of toric chemical reaction networks, Journal of Mathematical Chemistry 58 (2020), 2061 - 2093.
  • Heather A. Harrington, Dhagash Mehta, Helen M. Byrne, Jonathan D. Hauenstein, Decomposing the Parameter Space of Biological Networks via a Numerical Discriminant Approach, MC, 2019, .
  • Nidhi Kaihnsa, Yue Ren, Mohab Safey El Din, Johannes W. R. Martini, Cooperativity, absolute interaction, and algebraic optimization, Journal of Mathematical Biology 81 (2020), 1169 - 1191.
  • Tobias Boege, Thomas Kahle, Construction methods for gaussoids, Kybernetika 56 (2020), 1045-1062.
  • Papri Dey, Stephan Gardoll, Thorsten Theobald, Conic stability of polynomials and positive maps, Journal of Pure and Applied Algebra (2021).
  • Josu{\'e} Tonelli-Cueto, Elias P. Tsigaridas, Condition numbers for the cube. I: Univariate polynomials and hypersurfaces, Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation (2020).
  • Peter Bürgisser, Felipe Cucker, Josué Tonelli-Cueto, Computing the Homology of Semialgebraic Sets. II: General Formulas, Foundations of Computational Mathematics 21 (2021) no. 5, 1279–1316.
  • Peter Bürgisser, Felipe Cucker, Josué Tonelli-Cueto, Computing the Homology of Semialgebraic Sets. I: Lax Formulas, Foundations of Computational Mathematics 20 (2019) no. 1, 71–118.
  • Edoardo Ballico, Alessandra Bernardi, Fulvio Gesmundo, A. Oneto, Emanuele Ventura, Geometric conditions for strict submultiplicativity of rank and border rank, Annali di Matematica Pura ed Applicata (1923 -) 200 (2019), 187-210.
  • Justin Chen, Papri Dey, Computing symmetric determinantal representations, Journal of Software for Algebra and Geometry 10 (2020) no. 1, 9–15.
  • Mohab Din, Zhi-Hong Yang, Lihong Zhi, Computing real radicals and S-radicals of polynomial systems, Journal of Symbolic Computation 102 (2019), .
  • Oliver Gäfvert, Computational complexity of learning algebraic varieties, Advances in Applied Mathematics 121 (2020), 102100.
  • Kisun Lee, Certifying approximate solutions to polynomial systems on Macaulay2, ACM Communications in Computer Algebra 53 (2019), 45-48.
  • Timothy Duff, Nickolas Hein, Frank Sottile, Certification for polynomial systems via square subsystems, J. Symb. Comput. 109 (2018), 367-385.
  • Giorgio Ottaviani, Luca Sodomaco, Emanuele Ventura, Asymptotics of degrees and ED degrees of Segre products, Advances in Applied Mathematics 130 (2021), 102242.
  • Changzheng Li, Vijay Ravikumar, Frank Sottile, Mingzhi Yang, A geometric proof of an equivariant Pieri rule for flag manifolds, Forum Mathematicum 31 (2019) no. 3, 779–783.
  • Samantha Sherman, Jonathan Hauenstein, Charles Wampler, A General Method for Constructing Planar Cognate Mechanisms, Journal of Mechanisms and Robotics 13 (2021), 1-18.
  • Yuhan Jiang, Bernd Sturmfels, Bad Projections of the PSD Cone, arXiv 2006.09956 (2020).
  • Eliana Duarte, Orlando Marigliano, Bernd Sturmfels, Discrete statistical models with rational maximum likelihood estimator, arXiv 1903.06110 (2019).
  • Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile, Thomas Yahl, Decomposable sparse polynomial systems, arXiv 2006.03154 (2021).
  • Juan Elias, Roser Homs, Bernard Mourrain, Computing minimal Gorenstein covers, arXiv 1901.04165 (2019).
  • Daniel A. Brake, Jonathan D. Hauenstein, Cynthia Vinzant, Computing complex and real tropical curves using monodromy, arXiv 1605.04203 (2016).
  • Paul Breiding, Bernd Sturmfels, Sascha Timme, 3264 Conics in a Second, arXiv 1902.05518 (2019).
  • Dmitrii V. Pasechnik, An efficient sum of squares nonnegativity certificate for quaternary quartic, arXiv 1511.03473 (2015).
  • Lily Silverstein, Dane Wilburne, J. Yang, Asymptotic Degree of Random Monomial Ideals, arXiv 2009.05174 (2020).
  • Samantha N. Sherman, A Complete Theory of Planar Cognate Linkages, 2021, .
  • Masoud Gharahi, Stefano Mancini, Giorgio Ottaviani, Fine-structure classification of multiqubit entanglement by algebraic geometry, arXiv 1910.09665 (2020).
  • Timothy and Kohn Duff, PL\$\$\_1\$\$P - Point-Line Minimal Problems Under Partial Visibility in Three Views, 2020.
  • Michael Burr, Kisun Lee, Anton Leykin, Effective Certification of Approximate Solutions to Systems of Equations Involving Analytic Functions, Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation (2019).
  • Jonathan D. Hauenstein, Anton Leykin, Jose Israel Rodriguez, Frank Sottile, A numerical toolkit for multiprojective varieties, Math. Comput. 90 (2021), 413-440.
  • Peter Burgisser, Alperen A. Ergur, Josu{\'e} Tonelli-Cueto, On the Number of Real Zeros of Random Fewnomials, SIAM J. Appl. Algebra Geom. 3 (2019), 721-732.
  • Timothy Duff, Michael Ruddy, Numerical Equality Tests for Rational Maps and Signatures of Curves, Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, ISSAC '20, Association for Computing Machinery, New York, NY, USA, 2020, pp. 154–161.
  • Daniele Agostini, Carlos Am'endola, Kristian Ranestad, Moment Identifiability of Homoscedastic Gaussian Mixtures, Foundations of Computational Mathematics (2021), 1-30.
  • Daniel Plaumann, Rainer Sinn, Stephan Weis, Kippenhahn's Theorem for Joint Numerical Ranges and Quantum States, SIAM J. Appl. Algebra Geom. 5 (2021), 86-113.