Organizing Committee
Abstract

Applications often pose many algorithmic, computational, and theoretical challenges, and overcoming these challenges has been a driving force behind many recent innovations in nonlinear algebra. This workshop will bring together mathematicians and practitioners with a focus on recently developed methods that have been motivated by solving problems arising in applications. Three key hallmarks of the methods presented are efficient computation of solutions, exploitation of structure, and reformulation of numerically unstable systems. Some of the topics planned for discussion include algebraic cryptanalysis and coding theory, chemical reaction networks, computational biology, computer-aided geometric design, applications of enumerative and tropical geometry, gauge and string theory in physics, and applications to statistics such as probabilistic graphical models and singular learning theory.

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Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Workshop Schedule

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 

Associated Semester Workshops

Nonlinear Algebra
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Nonlinear Algebra Bootcamp
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Core Computational Methods
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Real Algebraic Geometry and Optimization
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Lecture Videos

Minimal Problems in Computer Vision

Tomas Pajdla
Czech Technical University in Prague
November 16, 2018

Recent advances in Mathematical Virology

Pierre-Philippe Dechant
York St John University
November 15, 2018

Reconstructing hybridization networks

Elizabeth Allman
University of Alaska Fairbanks
November 15, 2018

Algorithm for rank and cactus rank of a polynomial

Alessandra Bernardi
Università di Trento
November 14, 2018

The distance function from a real algebraic variety

Giorgio Ottaviani
University of Florence
November 14, 2018

Applications of Numerical Homotopy Continuation to Mechanism Design

Mark Plecnik
University of California, Berkeley
November 13, 2018

Network Coding and the Rank Metric

Alberto Ravagnani
University College Dublin
November 13, 2018

Codes and Designs over GF(q)

Eimear Byrne
University College Dublin
November 13, 2018

Patterns in Calabi-Yau Threefolds

Vishnu Jejjala
University of Witwatersrand
November 12, 2018

Stochastic Exploration of Real Varieties

David Kahle
Baylor University
November 12, 2018

Newton Polytopes and Relative Entropy Optimization

Venkat Chandrasekaran
California Institute of Technology
November 12, 2018