Organizing Committee
- Patrick Charbonneau
Duke University - Matthew Kahle
Ohio State University - Sayan Mukherjee
Duke University - Ileana Streinu
Smith College - Shmuel Weinberger
University of Chicago
Abstract
This workshop will explore topological properties of random and quasi-random phenomena in physical systems, stochastic simulations/processes, as well as optimization algorithms. Practitioners in these fields have written a great deal of simulation code to help understand the configurations and scaling limits of both the physically observed and computational phenomena. However, mathematically rigorous theories to support the simulation results and to explain their limiting behavior are still in their infancy.
Randomness is inherent to models of the physical, biological, and social world. Random topology models are important in a variety of complicated models including quantum gravity and black holes, filaments of dark matter in astronomy, spatial statistics, and morphological models of shapes, as well as models appearing in social media. The probabilistic method, theory of point processes, and ideas from stochastic and integral geometry have been central tools for proofs and efficient algorithms to measure topological quantities, such as Betti numbers of random geometric complexes.
The workshop topics include: random simplicial complexes, topological invariants in Gaussian random fields, and topological aspects of phase transitions, and geometry and topology of hard disks. A major theme of this workshop will center around computational issues and numerical experiments based on existing models and implementations.
Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Ian Alevy
Brown University
-
Hannah Alpert
MIT
-
Antonio Auffinger
Northwestern
-
Eric Babson
UC Davis
-
Tom Banchoff
Brown University
-
Loretta Bartolini
Springer
-
Yuliy Baryshnikov
University of Illinois at Urbana-Champaign (UIUC)
-
Abdessamad Ben Hamza
Concordia University
-
Andrew Blumberg
University of Texas at Austin
-
Omer Bobrowski
Duke University
-
Ciprian Borcea
Rider University
-
Magnus Botnan
Technical University Munich
-
Michael Catanzaro
University of Florida
-
Patrick Charbonneau
Duke University
-
Benoit Charbonneau
Waterloo
-
Bryan Chen
University of Massachusetts
-
Sergei Chmutov
Ohio State University
-
Jeremy Cochoy
INRIA
-
Fred Cohen
Rochester University
-
Moon Duchin
Tufts University
-
Chaim Even-Zohar
Hebrew University of Jerusalem
-
Michael Farber
Queen Mary, University of London
-
Eva Marie Feichtner
University of Bremen
-
Christopher Fowler
University of Washington
-
Silvio Franz
Paris-Sud
-
Joseph Fu
University of Georgia
-
Terrence George
Brown University
-
Mark Goresky
Institute for Advanced Study, School of Mathematics
-
Anna Gundert
University of Cologne
-
Felix Günther
Technische Universität Berlin
-
Bárbara Gutiérrez
CINVESTAV
-
Maria Hempel
WPI
-
Patricia Hersh
North Carolina State University
-
Yasu Hiraoka
Tohoku Univeristy
-
Christopher Hoffman
University of Washington
-
Matt Insall
Missouri University of Science and Technology
-
Sorin Istrail
Brown University
-
Marija Jelic Milutinovic
University of Belgrade, Faculty of Matehmatics
-
Filip Jevtic
University of Texas at Dallas
-
Nataša Jonoska
University of South Florida
-
Matthew Kahle
Ohio State University
-
Yoav Kallus
Sante Fe Institute
-
Richard Kenyon
Brown University
-
Steven Kim
Brown University
-
Jaeuk Kim
Princeton University
-
Caroline Klivans
Brown University
-
Nicholas Kosar
University of Illinois at Urbana Champaign
-
Robin Koytcheff
University of Massachusetts-Amherst
-
Deniz Kutluay
Indiana University
-
Wai Yeung Lam
Brown University
-
Quang-Nhat Le
Brown University
-
Antonio Lerario
SISSA (International School for Advanced Studies)
-
Michael Lesnick
Princeton University
-
Daniel Luckhardt
Univertität Göttingen
-
Erik Lundberg
Florida Atlantic University
-
Zheng Ma
Princeton University
-
Isaac Mabillard
IST Austria
-
Robert MacPherson
Institute for Advanced Study, School of Mathematics
-
Greg Malen
Ohio State University
-
Jeremy Mason
Bogaziçi University
-
Elizabeth Meckes
Case Western
-
Anthea Monod
Columbia University
-
Sayan Mukherjee
Duke University
-
Vidit Nanda
University of Pennsylvania
-
Andrew Newman
Ohio State University
-
Steve Oudot
Inria
-
Elliot Paquette
Weizmann Institute
-
Kyle Parsons
The Ohio State University
-
Sanjay Ramassamy
Brown University
-
Jacob Richey
University of Washington
-
Katie Ritchey
Ohio State University
-
Vanessa Robins
The Australian National University
-
Érika Roldán Roa
CIMAT (Center of Research in Mathematics)
-
Ron Rosenthal
ETHZ
-
Jose Alejandro Samper Casas
University of Washington
-
Vikram Saraph
Brown University
-
Benjamin Schweinhart
Harvard University
-
Lily Silverstein
University of California Davis
-
Elchanan Solomon
Brown University
-
Ileana Streinu
Smith College
-
Jonathan Taylor
Stanford University
-
Salvatore Torquato
Princeton University
-
Katharine Turner
EPFL
-
Shmuel Weinberger
University of Chicago
-
John Wiltshire-Gordon
University of Michigan
-
Takeru Yano
Osaka University
-
Ren Yi
Brown University
-
Xufan Zhang
Brown University
-
Rade Zivaljevic
Belgrade University