Organizing Committee
Abstract

This introductory workshop in combinatorial algebraic geometry is aimed at early career mathematicians and other mathematicians looking for an entry point into the field. The workshop will feature expository lectures on some of the basic objects of interest, together with "expert'' lectures discussing some current trends in the field. There will also be ample time for problem sessions and discussions.

Image for "VIRTUAL ONLY: Introductory Workshop: Combinatorial Algebraic Geometry"
Image Credit: Benjamin Schroeter

Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee
  • Abdulafeez Abdulkareem
    University of Africa Toru Orua
  • Simonetta Abenda
    Università di Bologna
  • Dan Abramovich
    Brown University
  • Ashleigh Adams
    UC Davis
  • Adam Afandi
    Colorado State University
  • Daniele Agostini
    Max Planck Institute for Mathematics in the Sciences
  • Daniele Agostini
    Max Planck Institute for Mathematics in the Sciences
  • Huda Ahmed
    New York University
  • Florian Aigner
    Université du Québec à Montréal
  • Tair Akhmejanov
    University of California-Davis
  • Doriann Albertin
    Université Gustave Eiffel
  • Elie Alhajjar
    US Military Academy
  • Ayah Almousa
    Cornell University
  • David Anderson
    Ohio State University
  • Federico Ardila
    San Francisco State University
  • Veronica Arena
    Brown University
  • Xerxes Arsiwalla
    Pompeu Fabra University & Wolfram Research
  • Ahmed Umer Ashraf
    University of Western Ontario
  • FAQRUDDIN AZAM
    Oklahoma State University
  • Christoph Baerligea
    Beijing International Center for Mathematical Research
  • Matthew Baker
    Georgia Institute of Technology
  • Esther Banaian
    University of Minnesota
  • Grant Barkley
    Harvard University
  • Alexander Bauman
    Brown University
  • Dori Bejleri
    Harvard University
  • Mara Belotti
    Technische Universität
  • Carolina Benedetti V.
    Universidad de los Andes
  • Joe Bernstein
    North Dakota State University
  • Marc Besson
    University of North Carolina at Chapel Hill
  • Nivedita Bhaskhar
    University of Southern California
  • Dhruv Bhatia
    Brown University
  • Christin Bibby
    Louisiana State University
  • Sara Billey
    University of Washington
  • Simone Billi
    University of Bologna
  • Aram Bingham
    Tulane University
  • Alex Black
    UC Davis
  • Kenneth Blakey
    Brown University
  • Andreas Blatter
    University of Bern
  • Lev Blechman
    Tel Aviv university
  • Thomas Blomme
    Université de Neuchâtel
  • Jonathan Boretsky
    Harvard University
  • Alessio Borzì
    University of Warwick
  • Lara Bossinger
    Mathematics Institute UNAM, Oaxaca
  • Madeline Brandt
    Brown University
  • Sarah Brauner
    University of Minnesota
  • Paul Breiding
    Technische Universität Berlin
  • Michel Brion
    Université Grenoble Alpes
  • Jennifer Brown
    UC Davis
  • Jose Brox
    Centre for Mathematics of the University of Coimbra
  • Juliette Bruce
    University of California, Berkeley / MSRI
  • Taylor Brysiewicz
    Max Planck Institute for Mathematics in the Sciences
  • Anders Buch
    Rutgers University
  • Amanda Burcroff
    Durham University
  • Hannah Burson
    University of Minnesota
  • Mahir Bilen Can
    Tulane University
  • Federico Castillo
    Max Planck Institute for Mathematics in the Sciences (MiS) in Leipzig.
  • Eduardo Cattani
    University of Massachusetts Amherst
  • Ian Cavey
    The Ohio State University
  • Seth Chaiken
    University at Albany
  • Teressa Chambers
    Brown University
  • Melody Chan
    Brown University
  • Megan Chang-Lee
    Brown University
  • anastasia chavez
    University of California, Davis
  • Yifan Chen
    UC Berkeley
  • Linda Chen
    Swarthmore College
  • Chongyao Chen
    Duke University
  • Ke Chen
    Nanjing University
  • Sunita Chepuri
    University of Michigan
  • Man-Wai Cheung
    Harvard University
  • Daniel Corey
    University of Wisconsin, Madison
  • Steven Creech
    Brown University
  • María Angélica Cueto
    Ohio State University
  • Xinle Dai
    Harvard University
  • Alessandro Danelon
    University of Technology Eindhove
  • Hailong Dao
    University of Kansas
  • Frances Dean
    University of Washington
  • Colin Defant
    Princeton University
  • Hunter Dinkins
    University of North Carolina-Chapel Hill
  • Anton Dochtermann
    Texas State University
  • Galen Dorpalen-Barry
    University of Minnesota
  • Theo Douvropoulos
    University of Massachusetts, Amherst
  • Jan Draisma
    Universität Bern
  • Anne Dranowski
    Institute for Advanced Study
  • Nicholas Early
    Institute for Advanced Study
  • Griffin Edwards
    Brown University
  • Richard Ehrenborg
    University of Kentucky
  • Balazs Elek
    Cornell University
  • Matthew Emerson
    Brown University
  • Laura Escobar
    Washington University- St. Louis
  • Alexander Esterov
    National Research University Higher School of Economics
  • Sen-Peng Eu
    National Taiwan Normal University
  • Christopher Eur
    Stanford University
  • Lorenzo Fantini
    Goethe University Frankfurt
  • Jeová Farias Sales Rocha Neto
    Brown university
  • Matthew Faust
    Texas A&M University
  • Elisenda Feliu
    University of Copenhagen
  • Luis Ferroni
    University of Bologna
  • Claudia Fevola
    Max Planck Institute for Mathematics in the Sciences (Leipzig)
  • Tara Fife
    Max Planck Institute for mathematics in the Sciences
  • Sergey Fomin
    University of Michigan
  • Garrett Fowler
    Virginia Tech
  • Chris Fraser
    University of Minnesota
  • Netanel Friedenberg
    Yale University
  • Carrie Frizzell
    Kansas State University
  • William Fulton
    University of Michigan
  • Nir Gadish
    MIT
  • Christian Gaetz
    MIT
  • Pavel Galashin
    University of California, Los Angeles
  • Dichuan Gao
    Brown University
  • Yibo Gao
    Massachusetts Institute of Technology
  • Shiliang Gao
    University of Illinois at Urbana-Champaign
  • Samuel-Louis Gardiner
    Queen Mary University of London
  • Deniz Genlik
    The Ohio State University
  • Andrey Glubokov
    Ave Maria University
  • Rebecca Goldin
    George Mason University
  • Sergio Gómez
    CINVESTAV
  • Eugene Gorsky
    UC Davis
  • Torin Greenwood
    North Dakota State University
  • Sean Griffin
    Brown University
  • Sarah Griffith
    Brown University
  • Darij Grinberg
    Drexel University
  • Helen Grundman
    Bryn Mawr College
  • Samuel Grushevsky
    Stony Brook University
  • Aziz Burak Guelen
    The Ohio State University
  • Emily Gunawan
    University of Oklahoma
  • Trevor Gunn
    Georgia Institute of Technology
  • Ajeeth Gunna
    The University of Melbourne
  • Sabir Gusein-Zade
    Lomonosov Moscow State University
  • Christian Haase
    Freie Universität Berlin
  • Marvin Hahn
    Max Planck Institute for Mathematics in the Sciences
  • Iva Halacheva
    Northeastern University
  • Zachary Hamaker
    University of Florida
  • Wesley Hamilton
    University of North Carolina, Chapel Hill
  • Sang Geun Han
    KAIST
  • Kangjin Han
    Daegu-Gyeongbuk Institute of Sciences and Technology (DGIST)
  • Megumi Harada
    MCMASTER UNIVERSITY
  • Xiang He
    Hebrew University
  • Lauren Heller
    University of California, Berkeley
  • Oskar Henriksson
    University of Copenhagen
  • Milena Hering
    The University of Edinburgh
  • María Herrero
    University of Buenos Aires - CONICET
  • Dylan Heuer
    North Dakota State University
  • Cvetelina Hill
    Georgia Institute of Technology
  • Joseph Hlavinka
    Brown University
  • Do Kien Hoang
    Yale University
  • Reuven Hodges
    University of Illinois at Urbana-Champaign
  • Roser Homs Pons
    Technical University of Munich
  • Eric Hopper
    Duke University
  • Serkan Hosten
    San Francisco State University
  • Yifeng Huang
    University of Michigan
  • Daoji Huang
    Brown University
  • Suzanne Huaringa Mosquera
    PUCP
  • June Huh
    Stanford University
  • Anthony Iarrobino
    Northeastern University
  • Bogdan Ion
    University of Pittsburgh
  • Alexey Izmailov
    Brown University
  • Manoel Jarra
    IMPA
  • David Jensen
    University of Kentucky
  • Sam Jeralds
    University of North Carolina at Chapel Hill
  • Shuai Jiang
    Virginia Tech
  • Michael Joswig
    TU Berlin & MPI Leipzig
  • Nidhi Kaihnsa
    Brown University
  • Elana Kalashnikov
    Harvard University
  • Siddarth Kannan
    Brown University
  • Daniel Kaplan
    University of Birmingham
  • Selvi Kara
    University of South Alabama
  • Lars Kastner
    Institute of Mathematics of the Technical University
  • Elizabeth Kelley
    University of MInnesota
  • Gary Kennedy
    Ohio State University
  • Nguyen Khanh
    Institut Camille Jordan
  • Joshua Kiers
    Ohio State University
  • Shinyoung KIM
    Institute for Basic Science Center for Geometry and Physics
  • Jaehyung Kim
    University of Illinois - Urbana Champaign
  • Donghyun Kim
    UC Berkeley
  • Patricia Klein
    University of Minnesota
  • Allen Knutson
    Cornell University
  • Jakub Koncki
    Institute of Mathematics, Polish Academy of Sciences
  • Korkeat Korkeathikhun
    University of North Carolina at Chapel Hill
  • Lukas Kühne
    Max Planck Institute for Mathematics in the Sciences
  • Tri Lai
    University of Nebraska, Lincoln
  • Thomas Lam
    University of Michigan
  • Tyler Lane
    Brown University
  • Matthew Larson
    Stanford University
  • Kang-Ju Lee
    Seoul National University
  • Yoav Len
    University of St Andrews
  • Cristian Lenart
    University at Albany
  • Daniel Li
    Brown University
  • Amy Li
    University of Texas at Austin
  • Chen Li
    Brown University
  • Shiyue Li
    Brown University
  • Feiyang Lin
    Harvey Mudd College
  • Kuei-Nuan Lin
    Penn State University, Greater Allegheny
  • Davis Lister
    Brown University
  • Yuqing Liu
    University of Michigan
  • Bingyan Liu
    university of illinois (UIUC)
  • David Lowry-Duda
    ICERM & Brown University
  • Yuze Luan
    UC Davis
  • Trent Lucas
    Brown University
  • Antonio Macchia
    Freie Universität Berlin
  • Timothy Magee
    University of Birmingham
  • Firdous Mala
    GDC Sopore, Bla
  • Aimeric Malter
    University of Birmingham
  • Yelena Mandelshtam
    University of California, Berkeley
  • Madhusudan Manjunath
    INDIAN INSTITUTE OF TECHNOLOGY BOMBAY
  • Hannah Markwig
    Eberhard Karls University of Tübingen
  • Jesus Martinez-Garcia
    University of Essex
  • Lily Mayo
    Brown University
  • Mikhail Mazin
    Kansas State University
  • Alex McDonough
    Brown University
  • Margarida Melo
    Universita Roma Tre
  • Leonardo Mihalcea
    Virginia Polytechnic Institute and State University
  • Luca Moci
    Universita' di Bologna
  • Ali Mohammad Nezhad
    Purdue University
  • Fatemeh Mohammadi
    Ghent University
  • Jonathan Montaño
    New Mexico State University
  • Héctor Montiel
    UNAM
  • Han-Bom Moon
    Fordham University
  • Alejandro Morales
    University of Massachusetts, Amherst
  • Sophie Morel
    CNRS/ENS Lyon
  • Ralph Morrison
    Williams College
  • Jennifer Morse
    University of Virginia
  • Hanna Mularczyk
    Harvard University
  • Gregg Musiker
    University of Minnesota
  • Philippe Nadeau
    Institut Camille Jordan
  • Uwe Nagel
    University of Kentucky
  • Hiroshi Naruse
    University of Yamanashi
  • Abhiram Natarajan
    Purdue University
  • Benjamin Nativi
    The University of Texas at Austin
  • Gleb Nenashev
    Brandeis University
  • Xianglong Ni
    University of California, Berkeley
  • Nathan Nichols
    University Of Minnesota Twin Cities
  • Ivan Nikitin
    NRU HSE
  • Mounir Nisse
    Xiamen University Malaysia
  • Augustine O'Keefe
    Connecticut College
  • David Oetjen
    Virginia Tech
  • Jaeseong Oh
    Seoul National University
  • Gidon Orelowitz
    University of Illinois, Urbana-Champaign
  • Alperen Ozdemir
    Georgia Tech
  • Roberto Pagaria
    Alma Mater Studiorum Università di Bologna
  • Jianping Pan
    University of California, Davis
  • Marta Panizzut
    TU Berlin
  • Theodoros Stylianos Papazachariou
    University of Essex
  • Joseph Pappe
    UC Davis
  • Matteo Parisi
    University of Oxford
  • Beatriz Pascual Escudero
    Universidad Carlos III de Madrid
  • Brendan Pawlowski
    University of Southern California
  • Sam Payne
    University of Texas at Austin
  • Oliver Pechenik
    University of Michigan
  • Raul Penaguiao
    San Francisco State University
  • Nicolas Perrin
    Versailles Saint-Quentin-en-Yvelines University
  • Nathan Pflueger
    Amherst College
  • Ying Anna Pun
    University of Virginia
  • Jiayue Qi
    University of Linz
  • Rohini Ramadas
    Brown University
  • Arvind Ramaswami
    Georgia Institute of Technology
  • Margaret Readdy
    University of Kentucky
  • William Reynolds
    University of Edinburgh
  • Brendon Rhoades
    University of California, San Diego
  • Edward Richmond
    Oklahoma State University
  • Konstanze Rietsch
    King's College London
  • Richard Rimanyi
    University of North Carolina at Chapel Hill
  • Jesus Rivera Ramirez
    CINVESTAV
  • Diego Robayo Bargans
    Universidad de los Andes
  • Colleen Robichaux
    University of Illinois at Urbana-Champaign
  • Colleen Robles
    Duke University
  • Felix Röhrle
    Goethe University Frankfurt
  • Piotr Rudnicki
    University of Warsaw
  • Francisco Santos
    University of Cantabria
  • Justin Sawon
    University of North Carolina - Chapel Hill
  • Mahrud Sayrafi
    University of Minnesota
  • Hal Schenck
    Auburn University
  • Anne Schilling
    UC Davis
  • Georgy Scholten
    North Carolina State University
  • Adam Schultze
    State University of New York, University at Albany
  • George Seelinger
    University of Virginia
  • Stefano Serpente
    Università degli Studi Roma 3
  • Tim Seynnaeve
    University of Bern
  • Aniket Shah
    The Ohio State University
  • Kristin Shaw
    University of Oslo
  • Melissa Sherman-Bennett
    UC Berkeley/Harvard
  • Ryan Shifler
    Salisbury University
  • Mark Shimozono
    Virginia Tech
  • Farbod Shokrieh
    University of Washington
  • Yiyan Shou
    UNC - Chapel Hill
  • Rob Silversmith
    Northeastern University
  • Connor Simpson
    University of Wisconsin -- Madison
  • Rahul Singh
    Virginia Polytechnic Institute and State University
  • Uriel Sinichkin
    Tel Aviv University
  • Jason Snyder
    University of California, Los Angeles
  • Miruna-Stefana Sorea
    SISSA, Trieste
  • Frank Sottile
    Texas A&M University
  • Pedro Souza
    Goethe Universität Frankfurt am Main
  • David Speyer
    University of Michigan
  • Avery St. Dizier
    Univeristy of Illinois at Urbana-Champaign
  • Evgeny Statnik
    Higher School of Economics
  • Jessica Striker
    North Dakota State University
  • Eric Stucky
    University of Minnesota-Twin Cities
  • Bernd Sturmfels
    MPI Leipzig
  • Changjian Su
    University of Toronto
  • changjian su
    University of Toronto
  • Nawaz Sultani
    University of Michigan
  • Yuri Sulyma
    Brown University
  • Kevin Summers
    Virginia Polytechnic Institute and State University
  • Mariel Supina
    University of California, Berkeley
  • Nafie Tairi
    University of Bern
  • Henry Talbott
    Brown University
  • Anna Tao
    Brown University
  • Nicola Tarasca
    Virginia Commonwealth University
  • Mihail Tarigradschi
    Rutgers University
  • Andrew Tawfeek
    Amherst College
  • Máté Telek
    University of Copenhagen
  • Ayush Tewari
    TU Berlin
  • Vasu Tewari
    University of Hawaii
  • Warut Thawinrak
    University of California Davis
  • Zonglin Tian
    Texas A & M University
  • Angelica Torres
    KTH Royal Institute of Technology
  • Trang Tran
    Ucsc
  • Nathaniel Trask
    Sandia National Laboratory
  • Ling Hei Tsang
    The Ohio State University
  • Daniele Turchetti
    Durham University
  • Martin Ulirsch
    Goethe University Frankfurt
  • Jeremy Usatine
    Brown University
  • Ravi Vakil
    Stanford University
  • Alejandro Vargas
    University of Bern
  • Lorenzo Vecchi
    Alma Mater Studiorum - Università di Bologna
  • Emanuele Ventura
    University of Bern
  • Filippo Viviani
    Roma Tre University
  • Duc Vo
    Harvard University
  • Arina Voorhaar
    Université de Genève
  • Ying Wang
    Colorado College
  • Jidong Wang
    University of Oregon
  • Weikun Wang
    Southern University of Science and Technology
  • Charles Wang
    Harvard University
  • Chengyang Wang
    UC Davis
  • Jeremy Wang
    Brown University
  • Daniel Wang
    Brown University
  • Andrzej Weber
    Uniwersity of Warsaw
  • Anna Weigandt
    University of Michigan
  • Max Weinreich
    Brown University
  • Nathaniel Welty
    Texas A&M University
  • Rebecca Whitman
    UC Berkeley
  • Amy Wiebe
    Freie Universität Berlin
  • Lauren Williams
    Harvard University
  • Kaelyn Willingham
    The Ohio State University
  • Camron Withrow
    Virginia Tech
  • Corey Wolfe
    Tulane University
  • Russ Woodroofe
    University of Primorska
  • Kayla Wright
    University of Minnesota
  • Cameron Wright
    University of Washington
  • Chenxi Wu
    university of wisconsin at madison
  • Weihong Xu
    Rutgers
  • Damir Yeliussizov
    Kazakh-British Technical University
  • Alexander Yong
    University of Illinois at Urbana-Champaign
  • Semin Yoo
    University of Rochester
  • Josephine Yu
    Georgia Institute of Technology
  • Tianyi Yu
    University of California, San Diego
  • Chi Ho Yuen
    Brown University
  • Claudia Yun
    Brown University
  • Dmitry Zakharov
    Central Michigan University
  • Yuanning Zhang
    UC Berkeley
  • Xiping Zhang
    Fudan University
  • Zehong Zhao
    University of California, San Diego
  • Changlong Zhong
    State University of New York Albany
  • Xu Zhuang
    Jilin University
  • Paul Zinn-Justin
    The University of Melbourne

Workshop Schedule

Monday, February 1, 2021
  • 9:50 - 10:00 am EST
    Welcome
    Virtual
    • Brendan Hassett, ICERM/Brown University
  • 10:00 - 10:45 am EST
    Short Introduction to Hodge Structures Part 1
    Virtual
    • Colleen Robles, Duke University
    Abstract
    I will introduce Hodge structures and describe the linear structures underlying the Hard Lefschetz Theorem and Hodge--Riemann Bilinear Relations.
  • 11:00 am - 12:00 pm EST
    Problem Session 1
    Problem Session - Virtual
  • 12:00 - 12:30 pm EST
    Short Introduction to Hodge Structures Part 2
    Virtual
    • Colleen Robles, Duke University
    Abstract
    I will introduce Hodge structures and describe the linear structures underlying the Hard Lefschetz Theorem and Hodge--Riemann Bilinear Relations.
  • 12:30 - 2:00 pm EST
    Lunch/Free Time
    Virtual
  • 2:00 - 2:45 pm EST
    Basic Schubert Calculus Part 1
    Virtual
    • Sara Billey, University of Washington
  • 3:00 - 4:00 pm EST
    Problem Session 2
    Problem Session - Virtual
  • 4:00 - 4:30 pm EST
    Basic Schubert Calculus Part 2
    Virtual
    • Sara Billey, University of Washington
  • 4:30 - 5:15 pm EST
    Reception
    Virtual
Tuesday, February 2, 2021
  • 9:00 - 9:45 am EST
    Gathertown Morning Coffee
    Coffee Break - Virtual
  • 10:00 - 10:45 am EST
    Basic notions in cotangent Schubert calculus - Part 1
    Virtual
    • Richard Rimanyi, University of North Carolina at Chapel Hill
    Abstract
    A key notion of Schubert Calculus is the cohomology ring of a homogeneous space, together with a distinguished basis: the collection of Schubert classes. There is a one-parameter deformation of the notion "Schubert class", called Chern-Schwartz-MacPherson (CSM-) class (a.k.a. characteristic cycle class, or cohomological stable envelope). In this lecture/workshop we will define the CSM class, and illustrate many of its properties through examples.
  • 11:00 am - 12:00 pm EST
    Problem Session 3
    Problem Session - Virtual
  • 12:00 - 12:30 pm EST
    Basic notions in cotangent Schubert calculus - Part 2
    Virtual
    • Richard Rimanyi, University of North Carolina at Chapel Hill
    Abstract
    A key notion of Schubert Calculus is the cohomology ring of a homogeneous space, together with a distinguished basis: the collection of Schubert classes. There is a one-parameter deformation of the notion "Schubert class", called Chern-Schwartz-MacPherson (CSM-) class (a.k.a. characteristic cycle class, or cohomological stable envelope). In this lecture/workshop we will define the CSM class, and illustrate many of its properties through examples.
  • 12:30 - 2:00 pm EST
    Lunch/Free Time
    Virtual
  • 2:00 - 2:45 pm EST
    Matroids Part 1
    Virtual
    • Christopher Eur, Stanford University
    Abstract
    We give an introduction to matroid theory with a view towards its recent interactions with algebraic geometry. In the first half, we study matroids as combinatorial abstractions of hyperplane arrangements, which will lead us to Chow rings of matroids, modeled after the geometry of wonderful compactifications of hyperplane arrangement complements. In the second half, we give a broad survey of some recent developments involving other different but related algebro-geometric models of matroids.
  • 3:00 - 4:00 pm EST
    Problem Session 4
    Problem Session - Virtual
  • 4:00 - 4:30 pm EST
    Matroids Part 2
    Virtual
    • Christopher Eur, Stanford University
    Abstract
    We give an introduction to matroid theory with a view towards its recent interactions with algebraic geometry. In the first half, we study matroids as combinatorial abstractions of hyperplane arrangements, which will lead us to Chow rings of matroids, modeled after the geometry of wonderful compactifications of hyperplane arrangement complements. In the second half, we give a broad survey of some recent developments involving other different but related algebro-geometric models of matroids.
Wednesday, February 3, 2021
  • 10:00 - 10:45 am EST
    Quantum Cohomology Part 1
    Virtual
    • Nicolas Perrin, Versailles Saint-Quentin-en-Yvelines University
  • 11:00 am - 12:00 pm EST
    Problem Session 5
    Problem Session - Virtual
  • 12:00 - 12:30 pm EST
    Quantum Cohomology Part 2
    Virtual
    • Nicolas Perrin, Versailles Saint-Quentin-en-Yvelines University
  • 12:30 - 2:00 pm EST
    Lunch/Free Time
    Virtual
  • 2:00 - 2:45 pm EST
    Affine Schubert Calculus Part 1
    Virtual
    • Mark Shimozono, Virginia Tech
  • 3:00 - 4:00 pm EST
    Problem Session 6
    Problem Session - Virtual
  • 4:00 - 4:30 pm EST
    Affine Schubert Calculus Part 2
    Virtual
    • Mark Shimozono, Virginia Tech
  • 4:30 - 5:15 pm EST
    Gathertown Afternoon Coffee - Informal Grad Student / Postdoc Focused
    Coffee Break - Virtual
Thursday, February 4, 2021
  • 9:00 - 9:45 am EST
    Gathertown Morning Coffee
    Coffee Break - Virtual
  • 10:00 - 10:45 am EST
    Introduction to Tropical Geometry Through Curves - Part 1
    Virtual
    • Madeline Brandt, Brown University
    Abstract
    Tropical geometry equips varieties with a combinatorial counterpart called the tropicalization. In this talk, I will introduce some of the key ideas in tropical geometry by studying curves. This will include definitions and examples of embedded tropicalization for curves in the plane, abstract tropicalization / dual graphs, and Berkovich skeleta.
  • 11:00 am - 12:00 pm EST
    Problem Session 7
    Problem Session - Virtual
  • 12:00 - 12:30 pm EST
    Introduction to Tropical Geometry Through Curves - Part 2
    Virtual
    • Madeline Brandt, Brown University
    Abstract
    Tropical geometry equips varieties with a combinatorial counterpart called the tropicalization. In this talk, I will introduce some of the key ideas in tropical geometry by studying curves. This will include definitions and examples of embedded tropicalization for curves in the plane, abstract tropicalization / dual graphs, and Berkovich skeleta.
  • 12:30 - 2:00 pm EST
    Lunch/Free Time
    Virtual
  • 2:00 - 2:45 pm EST
    Moduli spaces of tropical curves Part 1
    Virtual
    • Sam Payne, University of Texas at Austin
    Abstract
    In the first part of this talk, I will introduce the moduli space of stable tropical curves and discuss its combinatorial structure and topology, illustrating with simple examples in low genus. In the problem session, you will compute one further example. And in the second half of the talk, I will explain some general results about the topology of moduli spaces of stable tropical curves, how these relate to the topology of the algebraic moduli spaces M_g and M_{g,n}, and then state some open problems and conjectures that you may find interesting to think about during the semester.
  • 3:00 - 4:00 pm EST
    Problem Session 8
    Problem Session - Virtual
  • 4:00 - 4:30 pm EST
    Moduli spaces of tropical curves Part 2
    Virtual
    • Sam Payne, University of Texas at Austin
    Abstract
    In the first part of this talk, I will introduce the moduli space of stable tropical curves and discuss its combinatorial structure and topology, illustrating with simple examples in low genus. In the problem session, you will compute one further example. And in the second half of the talk, I will explain some general results about the topology of moduli spaces of stable tropical curves, how these relate to the topology of the algebraic moduli spaces M_g and M_{g,n}, and then state some open problems and conjectures that you may find interesting to think about during the semester.
Friday, February 5, 2021
  • 10:00 - 10:45 am EST
    Cluster structures in commutative rings Part 1
    Virtual
    • Lauren Williams, Harvard University
    Abstract
    In my first talk, I will give a gentle introduction to cluster algebras. In the second talk, I will describe how to identify a commutative ring (such as the coordinate ring of an algebraic variety) with a cluster algebra, and provide several examples. I will also discuss how to describe cluster algebras by generators and relations.
  • 11:00 am - 12:00 pm EST
    Problem Session 9
    Problem Session - Virtual
  • 12:00 - 12:30 pm EST
    Cluster structures in commutative rings Part 2
    Virtual
    • Lauren Williams, Harvard University
    Abstract
    In my first talk, I will give a gentle introduction to cluster algebras. In the second talk, I will describe how to identify a commutative ring (such as the coordinate ring of an algebraic variety) with a cluster algebra, and provide several examples. I will also discuss how to describe cluster algebras by generators and relations.
  • 12:30 - 2:00 pm EST
    Lunch/Free Time
    Virtual
  • 2:00 - 2:45 pm EST
    Cluster varieties Part 1
    Virtual
    • David Speyer, University of Michigan
    Abstract
    We will discuss the geometry of the affine algebraic varieties associated to cluster algebras. In the first hour, we will give examples and talk about open sets, smoothness and covering maps; in the second hour, we will talk about mixed Hodge structures.
  • 3:00 - 4:00 pm EST
    Problem Session 10
    Problem Session - Virtual
  • 4:00 - 4:45 pm EST
    Cluster varieties Part 2
    Virtual
    • David Speyer, University of Michigan
    Abstract
    We will discuss the geometry of the affine algebraic varieties associated to cluster algebras. In the first hour, we will give examples and talk about open sets, smoothness and covering maps; in the second hour, we will talk about mixed Hodge structures.

All event times are listed in ICERM local time in Providence, RI (Eastern Daylight Time / UTC-4).

All event times are listed in .

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ORCID iD
As this program is funded by the National Science Foundation (NSF), ICERM is required to collect your ORCID iD if you are receiving funding to attend this program. Be sure to add your ORCID iD to your Cube profile as soon as possible to avoid delaying your reimbursement.
Acceptable Costs
  • 1 roundtrip between your home institute and ICERM
  • Flights on U.S. or E.U. airlines – economy class to either Providence airport (PVD) or Boston airport (BOS)
  • Ground Transportation to and from airports and ICERM.
Unacceptable Costs
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  • Flights on U.K. airlines
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  • Multi-use bus passes
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Advance Approval Required
  • Personal car travel to ICERM from outside New England
  • Multiple-destination plane ticket; does not include layovers to reach ICERM
  • Arriving or departing from ICERM more than a day before or day after the program
  • Multiple trips to ICERM
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  • Arriving or departing from airport other than PVD/BOS or home institution's local airport
  • 2 one-way plane tickets to create a roundtrip (often purchased from Expedia, Orbitz, etc.)
Reimbursement Requests

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Refer to the back of your ID badge for more information. Checklists are available at the front desk and in the Reimbursement section of Cube.

Reimbursement Tips
  • Scanned original receipts are required for all expenses
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Reimbursement Timing

6 - 8 weeks after all documentation is sent to ICERM. All reimbursement requests are reviewed by numerous central offices at Brown who may request additional documentation.

Reimbursement Deadline

Submissions must be received within 30 days of ICERM departure to avoid applicable taxes. Submissions after thirty days will incur applicable taxes. No submissions are accepted more than six months after the program end.

Associated Semester Workshops

Combinatorial Algebraic Geometry
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Schubert Seminar Series
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VIRTUAL ONLY: Algebraic Geometry and Polyhedra
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