Organizing Committee
 Yuliy Baryshnikov
University of Illinois at UrbanaChampaign (UIUC)  Fred Cohen
Rochester University  Matthew Kahle
Ohio State University  Randall Kamien
University of Pennsylvania  Sayan Mukherjee
Duke University  Igor Pak
University of California at Los Angeles  Ileana Streinu
Smith College  Rade Zivaljevic
Belgrade University
Abstract
This thematic semester aims at exploring those areas of topology where the research challenges stem from scientific and engineering problem and computer experiments rather than the intrinsic development of the topology proper. In this context, topology is a toolbox of mathematical results and constructions which impacts and inspires developments in other areas. Born as a supporting discipline, aimed at creating a foundation of intuitive notions immensely useful in differential equations and complex analysis, algebraic topology remains indispensable in many disciplines.
Our goal here is to concentrate on relatively recent areas of research enabled, in particular, by the computational revolution in mathematical discovery.
The past decade has seen a surge of interest in applied topology, a vaguely defined area that became a focus of attraction for several communities neighboring mathematics proper  biology, engineering, computer science, data analysis, to name a few. The central lure of this emerging area is the feeling that the flexibility afforded by the passage from geometric constructions to analysis situs, analysis of (mutual) positions, can be a powerful force in applications. The metagoal of this project is to contribute to the development of the original view of topology as analysis situs: the extraction of discrete, combinatorial invariants from continuous shapes.
Here is a sample of the topics to be covered: moduli spaces of linkages, hinges and origami; configuration spaces of hard disks and coverings; topological robotics; topology of random simplicial complexes and random varieties; topology in condensed matter; highdimensional expanders; equipartitions and Tverberg type theorems.
Confirmed Speakers & Participants
Talks will be presented virtually or inperson as indicated in the schedule below.
 Speaker
 Poster Presenter
 Attendee
 Virtual Attendee

Aaron Abrams
Washington and Lee UniversitySep 1116, 2016

Anani Komla Adabrah
University of Texas at DallasSep 1116, 2016

Henry Adams
Colorado State UniversityNov 25Dec 2, 2016

Karim Adiprasito
Hebrew University of JerusalemNov 27Dec 3, 2016

Ian Alevy
Brown UniversityOct 1721, 2016

Victor Alexandrov
Sobolev Institute of MathematicsSep 1116, 2016

Sharareh Alipour
Sharif University of TechnologyNov 28Dec 2, 2016

Roger Alperin
San Jose State UniversitySep 1116, 2016

Hannah Alpert
MITAug 27Dec 31, 2016

Laura Anderson
Binghamton UniversityNov 28Dec 2, 2016

Ahmed Umer Ashraf
University of Western OntarioNov 27Dec 3, 2016

Antonio Auffinger
NorthwesternOct 1721, 2016

Serhii Avvakumov
IST AustriaNov 28Dec 2, 2016

Eric Babson
UC DavisSep 6Dec 9, 2016; Nov 18Dec 3, 2016

Tom Banchoff
Brown UniversityOct 1721, 2016

Loretta Bartolini
SpringerOct 1721, 2016

Alexander Barvinok
University of MichiganNov 27Dec 3, 2016

Yuliy Baryshnikov
University of Illinois at UrbanaChampaign (UIUC)Sep 3Dec 3, 2016

Ulrich Bauer
Technical University of Munich (TUM)Nov 20Dec 3, 2016

Abdessamad Ben Hamza
Concordia UniversityOct 1721, 2016

Bruno Benedetti
University of MiamiNov 28Dec 2, 2016

Bhaswar Bhattacharya
University of PennsylvaniaNov 28Dec 2, 2016

Pavle Blagojevic
Freie Universität BerlinSep 1116, 2016; Sep 27Oct 3, 2016

Andrew Blumberg
University of Texas at AustinOct 1626, 2016

Omer Bobrowski
Duke UniversityOct 1721, 2016

Jozef Bodnar
Stony Brook UniversitySep 1116, 2016

Ciprian Borcea
Rider UniversitySep 5Dec 10, 2016

Magnus Botnan
Technical University MunichOct 1721, 2016

Philip Bowers
The Florida State UniversitySep 1116, 2016

John Bowers
James Madison UniversitySep 1116, 2016

Toen Castle
University of PennsylvaniaSep 1116, 2016

Michael Catanzaro
University of FloridaOct 1721, 2016

Benoit Charbonneau
WaterlooOct 1721, 2016

Patrick Charbonneau
Duke UniversityOct 1721, 2016

Bryan Chen
University of MassachusettsSep 4Dec 6, 2016

Sergei Chmutov
Ohio State UniversityOct 1721, 2016

Jeremy Cochoy
INRIASep 11Dec 9, 2016

Fred Cohen
Rochester UniversitySep 13Dec 9, 2016

Robert Connelly
Cornell UniversitySep 1116, 2016; Sep 1117, 2016

Justin Curry
Duke UniversitySep 1117, 2016; Nov 27Dec 3, 2016

James Davis
Indiana UniversityNov 27Dec 3, 2016

Emanuele Delucchi
University of FribourgNov 27Dec 3, 2016

Graham Denham
University of Western OntarioNov 28Dec 3, 2016

Anton Dochtermann
Texas State UniversityNov 27Dec 1, 2016

Moon Duchin
Tufts UniversityOct 1721, 2016

Sergey Dyachenko
University of IllinoisSep 6Dec 9, 2016

Alperen Ergur
North Carilona State UniversityNov 28Dec 2, 2016

Chaim EvenZohar
Hebrew University of JerusalemSep 4Dec 9, 2016

Michael Farber
Queen Mary, University of LondonSep 617, 2016; Sep 1116, 2016; Oct 1622, 2016; Oct 1721, 2016

Eva Marie Feichtner
University of BremenSep 816, 2016; Nov 24Dec 3, 2016; Nov 28Dec 2, 2016

Christopher Fowler
University of WashingtonOct 15Dec 4, 2016

Silvio Franz
ParisSudOct 1721, 2016

Florian Frick
Cornell UniversityNov 26Dec 2, 2016

Joseph Fu
University of GeorgiaOct 1721, 2016

Alex Gamburd
CUNYNov 28Dec 2, 2016

Alexey Garber
The University of Texas Rio Grande ValleyNov 27Dec 3, 2016

Terrence George
Brown UniversityOct 1721, 2016

Chad Giusti
University of PennsylvaniaNov 27Dec 1, 2016

Mark Goresky
Institute for Advanced Study, School of MathematicsSep 1Dec 17, 2016

Jelena Grbic
University of SouthamptonSep 1116, 2016

Gillian Grindstaff
University of Texas at AustinNov 28Dec 3, 2016

Anna Gundert
University of CologneOct 12Dec 10, 2016; Oct 15Dec 9, 2016

Felix Günther
Technische Universität BerlinOct 1721, 2016

Larry Guth
MITNov 28Dec 2, 2016

Bárbara Gutiérrez
CINVESTAVSep 2Oct 30, 2016; Nov 20Dec 11, 2016

Zach Haney
Northeastern UniversityNov 28Dec 2, 2016

Michael Harrison
Pennsylvania State UniversitySep 1116, 2016

Maria Hempel
WPISep 6Dec 9, 2016

Patricia Hersh
North Carolina State UniversitySep 1Dec 9, 2016; Sep 1Dec 15, 2016

Anil Hirani
University of Illinois at UrbanaChampaignSep 814, 2016

Yasu Hiraoka
Tohoku UniveristyOct 1721, 2016

Christopher Hoffman
University of WashingtonOct 1Dec 9, 2016

Miranda HolmesCerfon
CIMSSep 1117, 2016; Sep 1116, 2016

Pat Hooper
City College of New YorkSep 1116, 2016

June Huh
Princeton UniversityNov 27Dec 3, 2016

Thomas Hull
Western New England UniversitySep 1116, 2016

Kristóf Huszár
IST AustriaNov 27Dec 3, 2016

Matt Insall
Missouri University of Science and TechnologyOct 1620, 2016; Nov 28Dec 2, 2016

Sorin Istrail
Brown UniversityOct 1721, 2016

Marija Jelic Milutinovic
University of Belgrade, Faculty of MatehmaticsSep 5Dec 9, 2016

Filip Jevtic
University of Texas at DallasSep 6Oct 18, 2016

Nataša Jonoska
University of South FloridaOct 1721, 2016

Cliff Joslyn
Pacific Northwest National LaboratoryNov 27Dec 3, 2016

Martina JuhnkeKubitzke
University of OsnabrückNov 27Dec 3, 2016

Matthew Kahle
Ohio State UniversitySep 1Dec 1, 2016; Sep 11Dec 3, 2016

Gil Kalai
Hebrew U and YaleSep 6Dec 9, 2016

Yoav Kallus
Sante Fe InstituteOct 1721, 2016

Randall Kamien
University of PennsylvaniaSep 1116, 2016

Michael Kapovich
UC DavisSep 1118, 2016; Sep 1116, 2016

Yael Karshon
Univerity of TorontoNov 27Dec 1, 2016

Richard Kenyon
Brown UniversityOct 1721, 2016

Jaeuk Kim
Princeton UniversityOct 1721, 2016

Steven Kim
Brown UniversityOct 1721, 2016

Caroline Klivans
Brown UniversitySep 5Dec 10, 2016; Oct 1721, 2016

Nicholas Kosar
University of Illinois at Urbana ChampaignSep 5Dec 10, 2016

Mickaël Kourganoff
Grenoble UniversitySep 1115, 2016

Robin Koytcheff
University of MassachusettsAmherstOct 1721, 2016

Slava Krushkal
University of VirginiaNov 27Dec 3, 2016

Vaibhav Kukreja
Quantitative Scientific Solutions, LLCSep 1116, 2016

Miroslav Kures
Brno University of TechnologySep 1116, 2016

Rob Kusner
University of Massachusetts, AmherstSep 1116, 2016

Woden Kusner
Graz University of TechnologySep 1116, 2016

Deniz Kutluay
Indiana UniversitySep 6Dec 9, 2016

Wai Yeung Lam
Brown UniversitySep 6Dec 9, 2016

Emanuel Lazar
University of PennsylvaniaNov 27Dec 2, 2016

QuangNhat Le
Brown UniversitySep 5Dec 10, 2016

Antonio Lerario
SISSA (International School for Advanced Studies)Oct 1721, 2016

Michael Lesnick
Princeton UniversityOct 1625, 2016; Nov 30Dec 2, 2016

Avi Levy
University of WashingtonNov 28Dec 2, 2016

Daniel Luckhardt
Univertität GöttingenOct 1721, 2016

Erik Lundberg
Florida Atlantic UniversityOct 1721, 2016

Zheng Ma
Princeton UniversityOct 1721, 2016

Isaac Mabillard
IST AustriaSep 1Dec 31, 2016

Robert MacPherson
Institute for Advanced Study, School of MathematicsSep 1Dec 17, 2016; Sep 6Dec 9, 2016

Greg Malen
Ohio State UniversitySep 6Dec 9, 2016

Alessia Mandini
PUCRIOSep 1116, 2016

Fedor Manin
University of TorontoNov 28Dec 2, 2016

Jeremy Mason
Bogaziçi UniversitySep 1Dec 15, 2016

Benjamin Matschke
University of BordeauxNov 27Dec 4, 2016

John McCleary
Vassar CollegeSep 1116, 2016

Elizabeth Meckes
Case WesternOct 1721, 2016

Roy Meshulam
Technion, HaifaSep 10Oct 31, 2016; Nov 27Dec 2, 2016; Nov 27Dec 3, 2016

John Millson
University of MarylandSep 1116, 2016

Graeme Milton
University of UtahSep 1116, 2016

Anthea Monod
Columbia UniversityOct 1721, 2016

Sayan Mukherjee
Duke UniversityOct 1622, 2016; Oct 1721, 2016; Nov 29Dec 3, 2016

Vidit Nanda
University of PennsylvaniaOct 1022, 2016

Tom Needham
University of GeorgiaSep 1116, 2016

Andrew Newman
Ohio State UniversitySep 12Oct 22, 2016

Anthony Nixon
Lancaster UniversitySep 1024, 2016; Sep 2224, 2016

Isabella Novik
University of WashingtonNov 27Dec 2, 2016

Naomi Oppenheimer
Princeton UniversitySep 1116, 2016

Steve Oudot
InriaSep 9Nov 24, 2016

Gaiane Panina
St. Petersburg Institute of InformaticsSep 1024, 2016; Sep 1116, 2016; Nov 15Dec 3, 2016

Giovanni Paolini
Scuola Normale Superiore of PisaNov 27Dec 3, 2016

Elliot Paquette
Weizmann InstituteOct 1721, 2016

Kyle Parsons
The Ohio State UniversitySep 10Dec 4, 2016

Pavel Paták
Hebrew University of JerusalemNov 26Dec 3, 2016

Zuzana Patáková
Hebrew University of JerusalemNov 26Dec 3, 2016

Christoph Pegel
Universität BremenNov 25Dec 4, 2016

Jose Perea
Michigan State UniversitySep 1116, 2016

Thomas Peters
University of ConnecticutNov 2829, 2016

James Pommersheim
Reed CollegeNov 27Dec 3, 2016

Sanjay Ramassamy
Brown UniversityOct 1721, 2016

Martin Raussen
Aalborg UniversitySep 730, 2016

Margaret Readdy
University of KentuckyNov 28Dec 3, 2016

Jacob Richey
University of WashingtonOct 1721, 2016

Katie Ritchey
Ohio State UniversitySep 11Oct 22, 2016

Vanessa Robins
The Australian National UniversityOct 1721, 2016

Érika Roldán Roa
CIMAT (Center of Research in Mathematics)Sep 6Dec 9, 2016

Ron Rosenthal
ETHZOct 1721, 2016

Elia Saini
Université de FribourgNov 27Dec 2, 2016

Jose Alejandro Samper Casas
University of WashingtonAug 28Dec 31, 2016

Vikram Saraph
Brown UniversitySep 6Dec 9, 2016

Josef Schicho
Johannes Kepler UniversitySep 1117, 2016

Michael Schmiedeberg
Universität ErlangenNürnbergSep 1116, 2016

Dirk Schuetz
Durham UniversitySep 1116, 2016

Bernd Schulze
Lancaster UniversitySep 1116, 2016

Benjamin Schweinhart
Harvard UniversitySep 4Dec 11, 2016

Don Shimamoto
Swarthmore CollegeSep 1116, 2016; Nov 28Dec 3, 2016

Lily Silverstein
University of California DavisOct 1622, 2016

Steven Simon
Bard CollegeNov 27Dec 2, 2016

Pablo Soberón
Northeastern UniversityNov 27Dec 2, 2016

Elchanan Solomon
Brown UniversitySep 4Dec 6, 2016

Mentor Stafa
IUPUINov 30Dec 2, 2016

Ileana Streinu
Smith CollegeSep 5Dec 10, 2016

Daniel Sussman
University of PennsylvaniaSep 1116, 2016

Sergei Tabachnikov
ICERM and Penn StateSep 1116, 2016

Jean Taylor
Courant Institute, NYUSep 1117, 2016

Jonathan Taylor
Stanford UniversityOct 1622, 2016

Salvatore Torquato
Princeton UniversityOct 1721, 2016

Ngoc Mai Tran
University of Texas at AustinNov 28Dec 2, 2016

Victor Turchin
Kansas State UniversitySep 1117, 2016

Katharine Turner
EPFLOct 1721, 2016

José Antonio Vilches
Universidad de SevillaNov 27Dec 3, 2016

Uli Wagner
IST AustriaNov 15Dec 3, 2016; Nov 28Dec 2, 2016

Han Wang
NCSUNov 27Dec 3, 2016

Shmuel Weinberger
University of ChicagoSep 1822, 2016; Oct 1721, 2016; Nov 611, 2016

John WiltshireGordon
University of MichiganSep 1Dec 31, 2016

Christian Wolf
The City College of New YorkNov 24Dec 2, 2016

Charles Wolf
Rutgers UniversityNov 28Dec 2, 2016

Russ Woodroofe
Mississippi State UniversityNov 27Dec 3, 2016

Takeru Yano
Osaka UniversityOct 1721, 2016

Masashi Yasumoto
Kobe UniversityNov 27Dec 2, 2016

Ren Yi
Brown UniversityOct 1721, 2016

Josephine Yu
Georgia Institute of TechnologyNov 27Dec 2, 2016

Xufan Zhang
Brown UniversityOct 1721, 2016

Stephan Zhechev
IST AUSTRIANov 28Dec 2, 2016

Alena Zhukova
SaintPetersburg State UniversityNov 27Dec 3, 2016

Rade Zivaljevic
Belgrade UniversitySep 2Dec 10, 2016
Visit dates listed on the participant list may be tentative and subject to change without notice.
Semester Schedule
Tuesday, September 6, 2016
Time  Event  Location  Materials 

9:00  4:00pm EDT  CheckIn  121 South Main Street, 11th Floor  
4:00  4:45pm EDT  Informal Afternoon Tea  11th Floor Collaborative Space 
Wednesday, September 7, 2016
Time  Event  Location  Materials 

9:30  10:00am EDT  ICERM Welcome  Brendan Hassett, ICERM Director  11th Floor Lecture Hall  
10:00  10:45am EDT  Brief Organizer Introductions and Broad Program Overview  11th Floor Lecture Hall  
10:45  11:15am EDT  Coffee/Tea Break  11th Floor Collaborative Space  
11:15  12:10pm EDT  Graduate Student Introductions  11th Floor Lecture Hall  
12:10  2:30pm EDT  Lunch/Free Time  
2:30  3:20pm EDT  10 Minute Postdoc Introductions  11th Floor Lecture Hall  
3:20  3:50pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
3:50  4:40pm EDT  10 Minute Postdoc Introductions  11th Floor Lecture Hall  
4:45  5:00pm EDT  Organizers Update on Rest of Week  11th Floor Lecture Hall  
5:00  6:30pm EDT  Welcome Reception 
Thursday, September 8, 2016
Time  Event  Location  Materials 

10:00  11:00am EDT  Graduate Student and Postdoc Meeting  11th Floor Conference Room  
10:30  12:00pm EDT  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:00  3:30pm EDT  IT Tutorial  Brian Lavall, ICERM Technical Support Coordinator  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break 
Friday, September 9, 2016
Time  Event  Location  Materials 

9:00  9:15am EDT  Introduction to the bootcamp  Anil Hirani, University of Illinois at Urbana–Champaign  10th Floor Classroom  
9:15  9:45am EDT  Getting LoggedIn and Testing  10th Floor Classroom  
9:45  10:30am EDT  Assessment of skills with short programming excercises  Anil Hirani, University of Illinois at Urbana–Champaign  10th Floor Classroom  
10:30  10:45am EDT  Coffee/Tea Break  11th Floor Collaborative Space  
10:45  12:00pm EDT  Review background programming material  Anil Hirani, University of Illinois at Urbana–Champaign  10th Floor Classroom  
12:00  1:30pm EDT  Lunch/Free Time  
1:30  3:00pm EDT  Persistent Homology using Dionysus  Dmitriy Morozov, Lawrence Berkeley National Lab  10th Floor Classroom  
3:00  3:15pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
3:15  5:30pm EDT  Persistent Homology using Dionysus  Dmitriy Morozov, Lawrence Berkeley National Lab  10th Floor Classroom 
Saturday, September 10, 2016
Time  Event  Location  Materials 

9:00  10:30am EDT  Simplicial complexes using SageMath and PyDEC  Anil Hirani, University of Illinois at Urbana–Champaign  10th Floor Classroom  
10:30  10:45am EDT  Coffee/Tea Break  11th Floor Collaborative Space  
10:45  12:00pm EDT  Computing homology and cohomology using SageMath and PyDEC  Anil Hirani, University of Illinois at Urbana–Champaign  10th Floor Classroom 
Monday, September 12, 2016
Tuesday, September 13, 2016
Wednesday, September 14, 2016
Thursday, September 15, 2016
Friday, September 16, 2016
Monday, September 19, 2016
Time  Event  Location  Materials 

11:00  12:00pm EDT  Seminar: Topology in a Discrete Setting  TBD  11th Floor Lecture Hall  
1:30  2:30pm EDT  Grad Student/Postdoc Seminar  Deniz Kutluay, Indiana University  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday, September 20, 2016
Time  Event  Location  Materials 

10:30  12:00pm EDT  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday, September 21, 2016
Time  Event  Location  Materials 

11:00  12:00pm EDT  Seminar: Stochastic Topology  Matthew Kahle, Ohio State University  
1:30  2:30pm EDT  Grad Student/Postdoc Seminar  John WiltshireGordon, ICERM Semester Postdoc  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, September 22, 2016
Time  Event  Location  Materials 

10:30  12:00pm EDT  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Friday, September 23, 2016
Time  Event  Location  Materials 

3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Monday, September 26, 2016
Time  Event  Location  Materials 

11:00  12:00pm EDT  Seminar: Topology in a Discrete Setting  PROBLEM SESSION  11th Floor Lecture Hall  
1:00  2:00pm EDT  NSF Webinar for Grad Students and Postdocs  11th Floor Conference Room  
2:15  3:15pm EDT  Grad Student and Postdoc Seminar  Knot distortion  Hannah Alpert, ICERM Institute Postdoc  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday, September 27, 2016
Wednesday, September 28, 2016
Time  Event  Location  Materials 

10:00  11:30am EDT  Topological Tverberg  Pavle Blagojevic, Freie Universität Berlin  11th Floor Lecture Hall  
1:30  2:30pm EDT  Grad Student and Postdoc Seminar  Counting lattice points inside polytopes  Quang Nhat Le, Brown University  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, September 29, 2016
Time  Event  Location  Materials 

10:30  12:00pm EDT  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Friday, September 30, 2016
Time  Event  Location  Materials 

10:00  11:30am EDT  Topological Tverberg  Pavle Blagojevic, Freie Universität Berlin  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Sunday, October 2, 2016
Time  Event  Location  Materials 

9:00  10:00am EDT  Professional Development  Ethics in Research II  11th Floor Lecture Hall 
Monday, October 3, 2016
Time  Event  Location  Materials 

11:00  12:00pm EDT  Topology in a Discrete Setting Seminar: Configuration Space – Test Map Scheme  Rade Zivaljevic, Mathematical Institute SASA, Belgrade  11th Floor Lecture Hall  
1:30  2:30pm EDT  Grad Student / Postdoc Seminar  Jose SamperCasas, ICERM Semester Postdoc  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday, October 4, 2016
Time  Event  Location  Materials 

9:00  10:00am EDT  Professional Development  Ethics in Research II  11th Floor Lecture Hall  
10:30  12:00pm EDT  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday, October 5, 2016
Time  Event  Location  Materials 

11:00  12:00pm EDT  Stochastic Topology Seminar  On Random Windings  Yuliy Baryshnikov, University of Illinois at UrbanaChampaign  11th Floor Lecture Hall  
1:30  2:30pm EDT  Grad Student / Postdoc Seminar  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, October 6, 2016
Time  Event  Location  Materials 

10:30  12:00pm EDT  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
2:00  3:00pm EDT  Canonical measures on the configuration space of disks in a square  Jeremy Mason, Bogazici University  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Friday, October 7, 2016
Time  Event  Location  Materials 

3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Monday, October 10, 2016
Time  Event  Location  Materials 

8:30  5:00pm EDT  In observance of Indigenous Peoples Day, ICERM is closed. 
Tuesday, October 11, 2016
Time  Event  Location  Materials 

9:00  10:00am EDT  Topology in a Discrete Setting Seminar rfold Whitney Trick and the Topological Tverberg  Isaac Mabillard, ICERM Semester Postdoc  11th Floor Lecture Hall  
10:30  12:00pm EDT  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday, October 12, 2016
Time  Event  Location  Materials 

11:00  12:00pm EDT  Stochastic Topology Seminar  On Random Windings  Andrew Newman, Ohio State University  11th Floor Lecture Hall  
1:30  2:30pm EDT  Grad Student / Postdoc Seminar  Katie Ritchey, Ohio State University and Nick Kosar, University of Illinois at Urbana Champaign  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, October 13, 2016
Time  Event  Location  Materials 

10:30  12:00pm EDT  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
6:00  8:00pm EDT  Rose Whelan Wine and Cheese  11th Floor Conference Room 
Friday, October 14, 2016
Time  Event  Location  Materials 

3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Monday, October 17, 2016
Tuesday, October 18, 2016
Wednesday, October 19, 2016
Thursday, October 20, 2016
Friday, October 21, 2016
Monday, October 24, 2016
Time  Event  Location  Materials 

11:00  12:00pm EDT  Topology in a Discrete Setting Seminar  Expansion for Simplicial Complexes  Anna Gundert, Institut für Theoretische Informatik, Zürich  11th Floor Lecture Hall  
1:30  2:30pm EDT  Grad Student / Postdoc Seminar  Barbara Gutiérrez, CINVESTAV  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday, October 25, 2016
Wednesday, October 26, 2016
Time  Event  Location  Materials 

11:00  12:00pm EDT  Stochastic Topology Seminar  Random Knots  Chaim EvenZohar, ICERM Semester Postdoc  11th Floor Lecture Hall  
1:30  2:30pm EDT  Grad Student / Postdoc Seminar  Benjamin Schweinhart, Harvard University  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, October 27, 2016
Time  Event  Location  Materials 

10:30  12:00pm EDT  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Friday, October 28, 2016
Time  Event  Location  Materials 

3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Monday, October 31, 2016
Time  Event  Location  Materials 

11:00  12:00pm EDT  Topology in a Discrete Setting Seminar  Generalized complexes and the tropical moduli space of curves  Melody Chan, Brown University  11th Floor Lecture Hall  
1:30  2:30pm EDT  Grad Student / Postdoc Seminar  Bryan Chen, University of Massachusetts  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday, November 1, 2016
Wednesday, November 2, 2016
Time  Event  Location  Materials 

11:00  12:00pm EDT  Stochastic Topology Seminar  Dense Random Clique Complexes  Greg Malen, ICERM Semester Postdoc  11th Floor Lecture Hall  
1:30  2:30pm EDT  Grad Student / Postdoc Seminar  Marija Jelic, University of Belgrade  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, November 3, 2016
Time  Event  Location  Materials 

10:30  12:00pm EDT  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Friday, November 4, 2016
Time  Event  Location  Materials 

3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Monday, November 7, 2016
Time  Event  Location  Materials 

11:00  12:00pm EST  Topological Combinatorics of Posets and Stratified Spaces Mini Course  Moebius functions and shellability  Patricia Hersh, NC State  11th Floor Lecture Hall  
1:30  2:30pm EST  Grad Student / Postdoc Seminar  Greg Malen, ICERM Semester Postdoc  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday, November 8, 2016
Wednesday, November 9, 2016
Time  Event  Location  Materials 

11:00  12:00pm EST  Stochastic Topology Seminar  Some problems in Stochastic Topology around topological identification of manifolds.  Shmuel Weinberger, University of Chicago  11th Floor Lecture Hall  
1:30  2:30pm EST  Grad Student / Postdoc Seminar  Chaim EvenZohar, ICERM Semester Postdoc  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, November 10, 2016
Time  Event  Location  Materials 

10:30  12:00pm EST  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space  
4:00  5:00pm EST  A theoretical framework for the analysis of Mapper  Steve Oudot, INRIA  Kassar House (room 205) 
Friday, November 11, 2016
Time  Event  Location  Materials 

2:00  3:00pm EST  Topological Combinatorics of Posets and Stratified Spaces Mini Course  discrete Morse theory  Patricia Hersh, NC State  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Monday, November 14, 2016
Time  Event  Location  Materials 

11:00  12:00pm EST  Topological Combinatorics of Posets and Stratified Spaces Mini Course  face posets and stratified spaces  Patricia Hersh, NC State  11th Floor Lecture Hall  
1:30  2:30pm EST  Grad Student / Postdoc Seminar  Isaac Mabillard, ICERM Semester Postdoc  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday, November 15, 2016
Wednesday, November 16, 2016
Time  Event  Location  Materials 

11:00  12:00pm EST  Stochastic Topology Seminar  Topological Similarity of Random Cell Complexes, and Curvature Flow on Graphs  Ben Schweinhart, Harvard University  11th Floor Lecture Hall  
1:30  2:30pm EST  Grad Student / Postdoc Seminar  Wai Yeung Lam, Brown University  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, November 17, 2016
Time  Event  Location  Materials 

10:30  12:00pm EST  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Friday, November 18, 2016
Time  Event  Location  Materials 

3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Monday, November 21, 2016
Time  Event  Location  Materials 

1:30  2:30pm EST  Grad Student / Postdoc Seminar  Érika Roldán Roa, CIMAT  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday, November 22, 2016
Time  Event  Location  Materials 

10:30  12:00pm EST  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday, November 23, 2016
Time  Event  Location  Materials 

3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Monday, November 28, 2016
Tuesday, November 29, 2016
Wednesday, November 30, 2016
Thursday, December 1, 2016
Friday, December 2, 2016
Monday, December 5, 2016
Time  Event  Location  Materials 

11:00  12:00pm EST  Topology in a Discrete Setting Seminar Diagonal Complexes  Gaiane Panina, St Petersburg Institute of Informatics  11th Floor Lecture Hall  
1:30  2:30pm EST  Grad Student / Postdoc Seminar  Jeremy Cochoy, INRIA  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday, December 6, 2016
Time  Event  Location  Materials 

10:30  12:00pm EST  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday, December 7, 2016
Time  Event  Location  Materials 

3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, December 8, 2016
Time  Event  Location  Materials 

10:30  12:00pm EST  Introduction to Perverse Sheaves  Mark Goresky, IAS  Kassar House (151 Thayer St.), Room 105  
3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Friday, December 9, 2016
Time  Event  Location  Materials 

3:30  4:00pm EST  Coffee/Tea Break  11th Floor Collaborative Space 
Associated Semester Workshops
Publications
 Deniz Kutluay, Winding homology of knotoids., arXiv 2002.07871 (2020).
 Dusko Jojic, W. Marzantowicz, S. Vrecica, R. Zivaljevi{\'c}, Unavoidable complexes, via an elementary equivariant index theory, Journal of Fixed Point Theory and Applications 22 (2020), 112.
 Fedor Manin, {\'E}rika Rold{\'a}n, Benjamin Schweinhart, Topology and local geometry of the Eden model, arXiv 2005.12349 (2020).
 Greg Malen, 'Erika Rold'an, Topology and Geometry of Crystallized Polyominoes., arXiv 1910.10342 (2019).
 Aleksandar Kartelj, Vladimir Filipovi{\'c}, Sinisa T. Vrecica, Rade T. Zivaljevi{\'c}, Topologically sensitive metaheuristics, arXiv 2002.11164 (2020).
 Martin Raussen, Pair component categories for directed spaces, Journal of Applied and Computational Topology 4 (2020), 101139.
 Ciprian S. Borcea, Ileana Streinu, New Principles for Auxetic Periodic Design, SIAM Journal on Applied Algebra and Geometry 1 1 (2017), 442458.
 Michael A. Burr, Martin Schmoll, Christian Wolf, On the computability of rotation sets and their entropies, Ergodic Theory and Dynamical Systems 40 (2020), 367  401.
 Wojciech Chach{\'o}lski, Ran Levi, Roy Meshulam, On the topology of complexes of injective words, Journal of Applied and Computational Topology 4 (2020), 2944.
 Chaim EvenZohar, Patterns in Random Permutations, Combinatorica 40 (2020) no. 6, 775–804.
 Ciprian S. Borcea, Ileana Streinu, Periodic Auxetics: Structure and Design, The Quarterly Journal of Mechanics and Applied Mathematics 71 (2018), 125  138.
 Ciprian Borcea, Ileana Streinu, Periodic tilings and auxetic deployments, Mathematics and Mechanics of Solids 26 (2020), 108128652094811.
 Benjamin Schweinhart, Persistent Homology and the Upper Box Dimension, arXiv 1802.00533 (2021).
 Filip D. Jevti{\'c}, Marinko Timotijevi{\'c}, Rade T. Zivaljevi{\'c}, Polytopal Bier Spheres and Kantorovich–Rubinstein Polytopes of Weighted Cycles, Discrete \& Computational Geometry 65 (2021), 12751286.
 Greg Malen, {\'E}rika {Rold{\'a}n}, Polyiamonds Attaining Extremal Topological Properties, Part I, Geombinatorics 30 (2020) no. 1, 1425.
 Magdalena Metlicka, Mojtaba Nouri, Ileana Streinu, Repairing gaps in Kinari2 for large scale protein and flexibility analysis applications, 2017 IEEE International Conference on Bioinformatics and Biomedicine (BIBM), Kansas City, MO, 2017, pp. 577580.
 Davide Lofano, Andrew Newman, The worst way to collapse a simplex, Israel Journal of Mathematics (2021).
 Federico Ardila, Federico Castillo, Jos{\'e} Alejandro Samper, The Topology of the External Activity Complex of a Matroid, Electronic Journal of Combinatorics 23 (2016), P3.8.
 Martin Raussen, Strictifying and taming directed paths in Higher Dimensional Automata, Mathematical Structures in Computer Science 31 (2021), 193  213.
 OB Ericok, JK Mason, Quotient Maps and Configuration Spaces of Hard Disks, arXiv 2101.00780 (2021).
 Sergey A. Dyachenko, Vera Mikyoung Hur, Stokes waves with constant vorticity: folds, gaps and fluid bubbles, Journal of Fluid Mechanics 878 (2019), 502–521.
 Sergey A. Dyachenko, Vera Mikyoung Hur, Stokes waves with constant vorticity: I. Numerical computation, Studies in Applied Mathematics (2019).
 Sergey A. Dyachenko, Vera Mikyoung Hur, Stokes Waves in a Constant Vorticity Flow, Nonlinear Water Waves (2019).
 Andrew Newman, Small Simplicial Complexes with Prescribed Torsion in Homology, Discrete \& Computational Geometry (2019), 128.
 Hannah Alpert, Regina Barnes, Sue Bell, Antonio Mauro, Nir Nevo, N. Tucker, H. Yang, Routing by matching on convex pieces of grid graphs, arXiv 2106.10751 (2021).
 Greg Malen, Erika RoldanRoa, Extremal Topological and Geometric Problems for Polyominoes, The Electronic Journal of Combinatorics 27 (2020), .
 Greg Malen, {\'E}rika Rold{\'a}n, Rosemberg Toal{\'a}Enr{\'\i}quez, Extremals p,qAnimals, arXiv 2109.05331 (2021).
 Federico Castillo, Jos{\'e} Alejandro Samper, Finiteness theorems for matroid complexes with prescribed topology, European Journal of Combinatorics 92 (2021), 103239.
 Duvsko Joji'c, Gaiane Panina, Sinivsa T. Vre'cica, Rade T. vZivaljevi'c, Generalized chessboard complexes and discrete Morse theory, arXiv 2003.04018 (2020).
 H. Alpert, Generalized representation stability for disks in a strip and nokequal spaces, arXiv 2006.01240 (2020).
 Filip D. Jevti'c, R. Zivaljevi{\'c}, Generalized Tonnetz and discrete AbelJacobi map, arXiv 2002.09184 (2020).
 James McInerney, Bryan Ginge Chen, Louis Theran, Christian D. Santangelo, D. Zeb Rocklin, Hidden symmetries generate rigid folding mechanisms in periodic origami, Proceedings of the National Academy of Sciences 117 (2020) no. 48, 30252–30259.
 Greg Malen, Fedor Manin, {\'E}rika Rold{\'a}n, Highdimensional holeyominoes, arXiv 2104.04558 (2021).
 Federico Castillo, Jeremy L. Martin, Jos{\'e} Alejandro Samper, Hopf monoids of ordered simplicial complexes, arXiv 2004.07308 (2020).
 Ciprian S Borcea, Ileana Streinu, Infinitesimal Periodic Deformations and Quadrics, Symmetry 13 (2021) no. 9, 1719.
 A. Costa, Michael Farber, Large Random Simplicial Complexes, III; The Critical Dimension, arXiv 1512.08714 (2015).
 Mark Goresky, Lecture notes on sheaves and perverse sheaves, arXiv 2105.12045 (2021).
 Margaret M. Bayer, Bennet Goeckner, Marija Milutinovi{\'c}, MANIFOLD MATCHING COMPLEXES, arXiv 1906.03328 (2019).
 Marija Jeli'c Milutinovi'c, Helen Jenne, Alex McDonough, Julianne Vega, Matching complexes of trees and applications of the matching tree algorithm., arXiv 1905.10560 (2019).
 Henry Adams, Johnathan Bush, Florian Frick, METRIC THICKENINGS, BORSUK–ULAM THEOREMS, AND ORBITOPES, Mathematika 66 (2019) no. 1, 79–102.
 Michael J. Catanzaro, Justin M. Curry, Brittany Terese Fasy, Jānis Lazovskis, Greg Malen, Hans Riess, Bei Wang, Matthew Zabka, Moduli spaces of morse functions for persistence, Journal of Applied and Computational Topology 4 (2020) no. 3, 353–385.
 Mark Goresky, Morse theory, stratifications and sheaves, Handbook of geometry and topology of singularities. {I}, Springer, Cham, 2020, pp. 275319.
 Irit Dinur, Roy Meshulam, Near Coverings and Cosystolic Expansion  an example of topological property testing, Electronic Colloquium on Computational Complexity 26 (2019), 126.
 Pavel M. Lushnikov, Sergey A. Dyachenko, Denis A. Silantyev, New conformal mapping for adaptive resolving of the complex singularities of Stokes wave, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473 (2017) no. 2202, 20170198.
 Mojtaba Nouri Bygi, Ileana Streinu, Efficient pebble game algorithms engineered for protein rigidity applications, 2017.
 Ciprian S. Borcea, Ileana Streinu, Deforming Diamond, arXiv 1501.03551 (2015).
 Ciprian S. Borcea, Ileana Streinu, Auxetic deformations and elliptic curves, Computer Aided Geometric Design 61 (2018), 919.
 Ciprian S. and Streinu Borcea, Auxetic Regions in Large Deformations of Periodic Frameworks, 2019.
 Ciprian S. Borcea, Ileana Streinu, Auxetics Abounding, 2018.
 Filip D Jevti{\'c}, Rade T {\v{Z}}ivaljevi{\'c}, Bier spheres of extremal volume and generalized permutohedra, 2108.00618 (2021).
 Sakura Kawano, Jeremy K. Mason, Classification of atomic environments via the Gromov–Wasserstein distance, Computational Materials Science 188 (2021), 110144.
 Matthew Kahle, Frank H. Lutz, Andrew Newman, Kyle Parsons, Cohen–Lenstra Heuristics for Torsion in Homology of Random Complexes, Experimental Mathematics 29 (2020), 347  359.
 Greg Malen, Collapsibility of Random Clique Complexes, arXiv 1903.05055 (2019).
 Duvsko Joji'c, Gaiane Panina, Rade T. vZivaljevi'c, Colored Tverberg problem, extensions and new results., arXiv 2002.09186 (2020).
 Hannah Alpert, Matthew Kahle, R. D. Macpherson, Configuration spaces of disks in an infinite strip, J. Appl. Comput. Topol. 5 (2021), 357390.
 O. B. Ericok, K. Ganesan, J. K. Mason, Configuration spaces of hard spheres, Physical Review E 104 (2021) no. 5.
 Hannah Alpert, Ulrich Bauer, Matthew Kahle, R. D. Macpherson, Kelly Spendlove, Configuration spaces of hard squares in a rectangle., arXiv 2010.14480 (2020).
 Filip D. Jevti{\'c}, Marija Jeli{\'c}, Rade T. Zivaljevi{\'c}, Cyclohedron and Kantorovich–Rubinstein Polytopes, Arnold Mathematical Journal 4 (2017), 87112.
 Imre B{\'a}r{\'a}ny, Roy Meshulam, Eran Nevo, Martin Tancer, Pach’s Selection Theorem Does Not Admit a Topological Extension, Discrete \& Computational Geometry 60 (2018), 420429.
 Loebl, Martin and Ne\v{s}et\v{r}il, Jaroslav and Thomas, Robin, A journey through discrete mathematics, Springer, Cham, 2017.
 Chaim EvenZohar, Models of random knots, Journal of Applied and Computational Topology 1 (2017) no. 2, 263–296.
 Chelsea E. Knittel, Michael Tanis, Amy L. Stoltzfus, Toen Castle, Randall D. Kamien, Genevi{\`e}ve Dion, Modelling textile structures using bicontinuous surfaces, Journal of Mathematics and the Arts 14 (2018), 331  344.
 Yoav Kallus, Miranda HolmesCerfon, Free energy of singular stickysphere clusters, Physical Review E 95 (2017) no. 2.
 Benjamin Zimmerman, Ivan Abraham, Sara Schmidt, Yuliy Baryshnikov, Fatima Husain, Dissociating Tinnitus Patients from Healthy Controls Using Resting 2 State Cyclicity Analysis and Clustering, Network Neuroscience 3 (2018), 136.
 Hannah Alpert, Discrete configuration spaces of squares and hexagons, Journal of Applied and Computational Topology 4 (2020), 263280.
 J{\'e}r{\'e}my Cochoy, Steve Oudot, Decomposition of Exact pfd Persistence Bimodules, Discrete \& Computational Geometry 63 (2020), 255293.
 Filip D. Jevti{\'c}, Marija Jeli{\'c}, Rade T. Živaljevi{\'c}, Cyclohedron and Kantorovich–Rubinstein Polytopes, Arnold Mathematical Journal 4 (2017), 87112.
 John D. WiltshireGordon, Models for configuration space in a simplicial complex, Colloquium Mathematicum 155 (2019) no. 1, 127–139.
 Marija Jeli{\'c} Milutinovi{\'c}, Dusko Jojic, Marinko Timotijevi{\'c}, Sinisa T. Vrecica, Rade T. Živaljevi{\'c}, Combinatorics of unavoidable complexes, Eur. J. Comb. 83 (2020).
 Matthew Kahle, Frank H. Lutz, Andrew Newman, Kyle Parsons, Cohen–Lenstra Heuristics for Torsion in Homology of Random Complexes, Experimental Mathematics 29 (2020), 347  359.
 Steve Oudot, Elchanan Solomon, Barcode embeddings for metric graphs, Algebraic & Geometric Topology 21 (2021) no. 3, 1209–1266.
 Thomas Machon, Hillel Aharoni, Yichen Hu, Randall D. Kamien, Aspects of Defect Topology in Smectic Liquid Crystals, Communications in Mathematical Physics 372 (2019) no. 2, 525–542.
 Hannah Alpert, {\'E}rika Rold{\'a}n, Art Gallery Problem with Rook and Queen Vision, Graphs Comb. 37 (2021), 621642.
 Lisa Tran, Maxim O. Lavrentovich, Guillaume Durey, Alexandre Darmon, Martin F. Haase, Ningwei Li, Daeyeon Lee, Kathleen J. Stebe, Randall D. Kamien, Teresa LopezLeon, Change in Stripes for Cholesteric Shells via Anchoring in Moderation, Physical Review X 7 (2017) no. 4.
 Patricia Hersh, Karola M{\'e}sz{\'a}ros, SBlabelings and posets with each interval homotopy equivalent to a sphere or a ball, J. Comb. Theory, Ser. A 152 (2017), 104120.
 Lisa Tran, HyeNa Kim, Ningwei Li, Shu Yang, Kathleen J. Stebe, Randall D. Kamien, Martin F. Haase, Shaping nanoparticle fingerprints at the interface of cholesteric droplets, Science Advances 4 (2018) no. 10, eaat8597.
 Patricia Hersh, Richard W. Kenyon, Shellability of face posets of electrical networks and the CW poset property, Adv. Appl. Math. 127 (2021), 102178.
 Elisabetta A Matsumoto, Randall D. Kamien, Gareth P Alexander, Straight round the twist: frustration and chirality in smecticsA, Interface Focus 7 (2017).
 Dusko Jojic, Sinisa T. Vrecica, Rade T. Živaljevi{\'c}, Symmetric multiple chessboard complexes and a new theorem of Tverberg type, Journal of Algebraic Combinatorics 46 (2015), 1531.
 Chaim EvenZohar, Joel Hass, Nathan Linial, Tahl Nowik, The distribution of knots in the Petaluma model, Algebraic & Geometric Topology 18 (2018) no. 6, 3647–3667.
 Yuliy Baryshnikov, Robert Ghrist, Stokes's theorem, data, and the polar ice caps, Amer. Math. Monthly 125 (2018) no. 9, 830834.
 Maxim Arnold, Yuliy M. Baryshnikov, Yuriy Mileyko, Typical representatives of free homotopy classes in multipunctured plane, Journal of Topology and Analysis (2019).
 Hillel Aharoni, Yu Xia, Xinyue Zhang, Randall D. Kamien, Shu Yang, Universal inverse design of surfaces with thin nematic elastomer sheets, Proceedings of the National Academy of Sciences 115 (2018) no. 28, 7206–7211.
 John D. WiltshireGordon, Configuration space in a product, arXiv 1808.08894 (2018).
 Roy Meshulam, Martin Raussen, Homology of Spaces of Directed Paths in Euclidean Pattern Spaces, arXiv 1512.05978 (2017), 593614.
 Yuliy M. Baryshnikov, Robert Ghrist, Minimal Unimodal Decompositions on Trees, arXiv 1806.09673 (2018).
 Yuliy M. Baryshnikov, Caroline J. Klivans, Nicholas Kosar, On the topology of no \$k\$equal spaces, arXiv 1708.00032 (2017).
 Matthew Kahle, 'Erika Rold'an, Polyominoes with maximally many holes, arXiv 1807.10231 (2018).
 Patricia Hersh, Posets arising as 1skeleta of simple polytopes, the nonrevisiting path conjecture, and poset topology, arXiv 1802.04342 (2018).
 Hannah Alpert, Fedor Manin, Configuration spaces of disks in a strip, twisted algebras, persistence, and other stories, arXiv:2107.04574, 2021.