Organizing Committee
 Anders Buch
Rutgers University  Melody Chan
Brown University  Thomas Lam
University of Michigan  Leonardo Mihalcea
Virginia Polytechnic Institute and State University
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.
Confirmed Speakers & Participants
Talks will be presented virtually or inperson as indicated in the schedule below.
 Speaker
 Poster Presenter
 Attendee
 Virtual Attendee

Ying A Pun
University of Virginia

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

Huda Ahmed
New York University

Florian Aigner
Université du Québec à Montréal

Tair Akhmejanov
University of CaliforniaDavis

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 ChangLee
Brown University

Anastasia Chavez
University of California, Davis

Linda Chen
Swarthmore College

Chongyao Chen
Duke University

Yifan Chen
UC Berkeley

Ke Chen
Nanjing University

Sunita Chepuri
University of Michigan

ManWai 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 CarolinaChapel Hill

Anton Dochtermann
Texas State University

Galen DorpalenBarry
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

SenPeng 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 UrbanaChampaign

SamuelLouis 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 GuseinZade
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

Kangjin Han
DaeguGyeongbuk Institute of Sciences and Technology (DGIST)

Sang Geun Han
KAIST

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 UrbanaChampaign

Roser Homs Pons
Technical University of Munich

Eric Hopper
Duke University

Serkan Hosten
San Francisco State University

Daoji Huang
Brown University

Yifeng Huang
University of Michigan

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

Jaehyung Kim
University of Illinois  Urbana Champaign

Donghyun Kim
UC Berkeley

Shinyoung Kim
Institute for Basic Science Center for Geometry and Physics

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

KangJu Lee
Seoul National University

Yoav Len
University of St Andrews

Cristian Lenart
University at Albany

Daniel Li
Brown University

Shiyue Li
Brown University

Chen Li
Brown University

Amy Li
University of Texas at Austin

Feiyang Lin
Harvey Mudd College

KueiNuan Lin
Penn State University, Greater Allegheny

Davis Lister
Brown University

Bingyan Liu
university of illinois (UIUC)

Yuqing Liu
University of Michigan

David LowryDuda
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 MartinezGarcia
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

HanBom 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, UrbanaChampaign

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 SaintQuentinenYvelines University

Nathan Pflueger
Amherst College

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 UrbanaChampaign

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

Kris Shaw
University of Oslo

Melissa ShermanBennett
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

MirunaStefana 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 UrbanaChampaign

Evgeny Statnik
Higher School of Economics

Jessica Striker
North Dakota State University

Eric Stucky
University of MinnesotaTwin Cities

Bernd Sturmfels
MPI Leipzig

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

Chengyang Wang
UC Davis

Ying Wang
Colorado College

Weikun Wang
Southern University of Science and Technology

Daniel Wang
Brown University

Jidong Wang
University of Oregon

Jeremy Wang
Brown University

Charles Wang
Harvard 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

Cameron Wright
University of Washington

Kayla Wright
University of Minnesota

Chenxi Wu
university of wisconsin at madison

Weihong Xu
Rutgers

Damir Yeliussizov
KazakhBritish Technical University

Alexander Yong
University of Illinois at UrbanaChampaign

Semin Yoo
University of Rochester

Tianyi Yu
University of California, San Diego

Josephine Yu
Georgia Institute of Technology

Chi Ho Yuen
Brown University

Claudia Yun
Brown University

Dmitry Zakharov
Central Michigan University

Xiping Zhang
Fudan University

Yuanning Zhang
UC Berkeley

Zehong Zhao
University of California, San Diego

Changlong Zhong
State University of New York Albany

Xu Zhuang
Jilin University

Paul ZinnJustin
The University of Melbourne
Workshop Schedule
Monday, February 1, 2021

9:50  10:00 am ESTWelcomeVirtual
 Brendan Hassett, ICERM/Brown University

11:00 am  12:00 pm EST

12:30  2:00 pm ESTLunch/Free TimeVirtual

3:00  4:00 pm EST

4:30  5:15 pm ESTReceptionVirtual
Tuesday, February 2, 2021

9:00  9:45 am ESTGathertown Morning CoffeeCoffee Break  Virtual

10:00  10:45 am ESTBasic notions in cotangent Schubert calculus  Part 1Virtual
 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 oneparameter deformation of the notion "Schubert class", called ChernSchwartzMacPherson (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

12:00  12:30 pm ESTBasic notions in cotangent Schubert calculus  Part 2Virtual
 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 oneparameter deformation of the notion "Schubert class", called ChernSchwartzMacPherson (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 ESTLunch/Free TimeVirtual

2:00  2:45 pm ESTMatroids Part 1Virtual
 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 algebrogeometric models of matroids.

3:00  4:00 pm EST

4:00  4:30 pm ESTMatroids Part 2Virtual
 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 algebrogeometric models of matroids.
Wednesday, February 3, 2021

11:00 am  12:00 pm EST

12:30  2:00 pm ESTLunch/Free TimeVirtual

3:00  4:00 pm EST

4:30  5:15 pm ESTGathertown Afternoon Coffee  Informal Grad Student / Postdoc FocusedCoffee Break  Virtual
Thursday, February 4, 2021

9:00  9:45 am ESTGathertown Morning CoffeeCoffee Break  Virtual

10:00  10:45 am ESTIntroduction to Tropical Geometry Through Curves  Part 1Virtual
 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

12:00  12:30 pm ESTIntroduction to Tropical Geometry Through Curves  Part 2Virtual
 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 ESTLunch/Free TimeVirtual

2:00  2:45 pm ESTModuli spaces of tropical curves Part 1Virtual
 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

4:00  4:30 pm ESTModuli spaces of tropical curves Part 2Virtual
 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 ESTCluster structures in commutative rings Part 1Virtual
 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

12:00  12:30 pm ESTCluster structures in commutative rings Part 2Virtual
 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 ESTLunch/Free TimeVirtual

2:00  2:45 pm ESTCluster varieties Part 1Virtual
 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

4:00  4:45 pm ESTCluster varieties Part 2Virtual
 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 / UTC4).
All event times are listed in .
ICERM local time in Providence, RI is Eastern Daylight Time (UTC4). Would you like to switch back to ICERM time or choose a different custom timezone?