Organizing Committee
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 meta-goal 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; high-dimensional expanders; equipartitions and Tverberg type theorems.

Image for "Topology in Motion"

Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Visit dates listed on the participant list may be tentative and subject to change without notice.

Semester Schedule

Tuesday, September 6, 2016
TimeEventLocationMaterials
9:00 - 4:00pm EDTCheck-In121 South Main Street, 11th Floor 
4:00 - 4:45pm EDTInformal Afternoon Tea11th Floor Collaborative Space 
Wednesday, September 7, 2016
TimeEventLocationMaterials
9:30 - 10:00am EDTICERM Welcome - Brendan Hassett, ICERM Director 11th Floor Lecture Hall 
10:00 - 10:45am EDTBrief Organizer Introductions and Broad Program Overview11th Floor Lecture Hall 
10:45 - 11:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:10pm EDTGraduate Student Introductions11th Floor Lecture Hall 
12:10 - 2:30pm EDTLunch/Free Time  
2:30 - 3:20pm EDT10 Minute Postdoc Introductions11th Floor Lecture Hall 
3:20 - 3:50pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:50 - 4:40pm EDT10 Minute Postdoc Introductions11th Floor Lecture Hall 
4:45 - 5:00pm EDTOrganizers Update on Rest of Week11th Floor Lecture Hall 
5:00 - 6:30pm EDTWelcome Reception  
Thursday, September 8, 2016
TimeEventLocationMaterials
10:00 - 11:00am EDTGraduate Student and Postdoc Meeting11th Floor Conference Room 
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:00 - 3:30pm EDTIT Tutorial - Brian Lavall, ICERM Technical Support Coordinator11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
Friday, September 9, 2016
TimeEventLocationMaterials
9:00 - 9:15am EDTIntroduction to the bootcamp - Anil Hirani, University of Illinois at Urbana–Champaign10th Floor Classroom 
9:15 - 9:45am EDTGetting Logged-In and Testing10th Floor Classroom 
9:45 - 10:30am EDTAssessment of skills with short programming excercises - Anil Hirani, University of Illinois at Urbana–Champaign10th Floor Classroom 
10:30 - 10:45am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:45 - 12:00pm EDTReview background programming material - Anil Hirani, University of Illinois at Urbana–Champaign10th Floor Classroom 
12:00 - 1:30pm EDTLunch/Free Time  
1:30 - 3:00pm EDTPersistent Homology using Dionysus - Dmitriy Morozov, Lawrence Berkeley National Lab10th Floor Classroom 
3:00 - 3:15pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:15 - 5:30pm EDTPersistent Homology using Dionysus - Dmitriy Morozov, Lawrence Berkeley National Lab10th Floor Classroom 
Saturday, September 10, 2016
TimeEventLocationMaterials
9:00 - 10:30am EDTSimplicial complexes using SageMath and PyDEC - Anil Hirani, University of Illinois at Urbana–Champaign10th Floor Classroom 
10:30 - 10:45am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:45 - 12:00pm EDTComputing homology and cohomology using SageMath and PyDEC - Anil Hirani, University of Illinois at Urbana–Champaign10th Floor Classroom 
Monday, September 12, 2016
TimeEventLocationMaterials
8:45 - 9:15am EDTRegistration121 South Main Street, Providence, RI; 11th Floor 
9:15 - 9:30am EDTWelcome - Brendan Hassett, ICERM Director11th Floor Lecture Hall 
9:30 - 10:15am EDTSpaces of non-k-equal configurations in a Euclidean space and the little discs operad - Victor Turchin, Kansas State University11th Floor Lecture Hall
10:30 - 11:00am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 11:45am EDTThe toric geometry of triangulated polygons in Euclidean space. - John Millson, University of Maryland11th Floor Lecture Hall
12:00 - 2:30pm EDTBreak for Lunch/Free Time  
2:30 - 3:15pm EDTSpaces of triangulations of a square - Aaron Abrams, Washington and Lee University11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTLocal multiplicity of continuous maps between manifolds - Pavle Blagojevic, Free University Berlin and Mathematical Institute SASA Belgrade11th Floor Lecture Hall
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, September 13, 2016
TimeEventLocationMaterials
9:00 - 9:45am EDTThe set of flexible nondegenerate polyhedra of a prescribed combinatorial structure is not always algebraic - Victor Alexandrov, Sobolev Institute of Mathematics11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTPeriodic frameworks, deformation spaces and auxetic trajectories - Ciprian Borcea, Rider University11th Floor Lecture Hall
11:30 - 12:15pm EDTAlgorithmic lattice kirigami - Daniel Sussman, University of Pennsylvania11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch/Free Time  
2:30 - 3:15pm EDTMapping spaces on polyhedral products - Jelena Grbic, University of Southampton, UK11th Floor Lecture Hall
Wednesday, September 14, 2016
TimeEventLocationMaterials
9:00 - 9:45am EDTEquilateral Equiangular Polygons in the Plane - Robert Connelly, Cornell University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTShape it as you wish- a minimal shapeable sheet - Naomi Oppenheimer, Simons Foundation11th Floor Lecture Hall
11:30 - 12:15pm EDTAdditive Lattice Kirigami - Toen Castle, UPenn11th Floor Lecture Hall
12:30 - 12:40pm EDTGroup Photo 11th Floor Lecture Hall 
12:40 - 2:30pm EDTBreak for Lunch/Free Time  
2:30 - 3:15pm EDTMechanical linkages with chaotic dynamics - Mickaël Kourganoff, Institut Fourier, Grenoble, France11th Floor Lecture Hall
3:30 - 5:00pm EDTPoster Session11th Floor 
Thursday, September 15, 2016
TimeEventLocationMaterials
9:00 - 9:45am EDTThe glass transition as a mixture of random organization and athermal jamming - Michael Schmeideberg, Friedrich-Alexander University Erlangen-Nürnberg11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTCauchy rigidity of convex c-polyhedra - John C. Bowers, James Madison University11th Floor Lecture Hall
11:30 - 12:15pm EDTConfiguration theorems and skewers - Sergei Tabachnikov, Pennsylvania State University11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch/Free Time  
2:30 - 3:15pm EDTThe isomorphism problem for closed linkage spaces - Dirk Schuetz, Durham University11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTCounting embeddings of Laman graphs - Josef Schicho, JKU Linz11th Floor Lecture Hall
Friday, September 16, 2016
TimeEventLocationMaterials
9:00 - 9:45am EDTMultimode mechanical materials - Graeme Milton, University of Utah11th Floor Lecture Hall
10:00 - 10:45am EDTPeriodicity-changing deformations in infinite frameworks - Bryan Chen, University of Massachusetts11th Floor Lecture Hall 
11:00 - 11:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:15pm EDTSymplectic invariants of the moduli space of polygons in R^3. - Alessia Mandini, PUC-RIO11th Floor Lecture Hall
12:30 - 1:15pm EDTFree energy landscape of sticky-sphere clusters - Miranda Holmes-Cerfon, Courant Institute of Mathematical Sciences11th Floor Lecture Hall
Monday, September 19, 2016
TimeEventLocationMaterials
11:00 - 12:00pm EDTSeminar: Topology in a Discrete Setting - TBD11th Floor Lecture Hall 
1:30 - 2:30pm EDTGrad Student/Postdoc Seminar - Deniz Kutluay, Indiana University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, September 20, 2016
TimeEventLocationMaterials
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, September 21, 2016
TimeEventLocationMaterials
11:00 - 12:00pm EDTSeminar: Stochastic Topology - Matthew Kahle, Ohio State University  
1:30 - 2:30pm EDTGrad Student/Postdoc Seminar - John Wiltshire-Gordon, ICERM Semester Postdoc11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, September 22, 2016
TimeEventLocationMaterials
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, September 23, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, September 26, 2016
TimeEventLocationMaterials
11:00 - 12:00pm EDTSeminar: Topology in a Discrete Setting - PROBLEM SESSION11th Floor Lecture Hall 
1:00 - 2:00pm EDTNSF Webinar for Grad Students and Postdocs11th Floor Conference Room 
2:15 - 3:15pm EDTGrad Student and Postdoc Seminar - Knot distortion - Hannah Alpert, ICERM Institute Postdoc11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, September 27, 2016
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Ethics in Research I11th Floor Lecture Hall
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
2:00 - 3:00pm EDTCanonical measures on the configuration space of disks in a square - Jeremy Mason, Bogazici University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, September 28, 2016
TimeEventLocationMaterials
10:00 - 11:30am EDTTopological Tverberg - Pavle Blagojevic, Freie Universität Berlin11th Floor Lecture Hall 
1:30 - 2:30pm EDTGrad Student and Postdoc Seminar - Counting lattice points inside polytopes - Quang Nhat Le, Brown University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, September 29, 2016
TimeEventLocationMaterials
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, September 30, 2016
TimeEventLocationMaterials
10:00 - 11:30am EDTTopological Tverberg - Pavle Blagojevic, Freie Universität Berlin11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Sunday, October 2, 2016
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Ethics in Research II11th Floor Lecture Hall 
Monday, October 3, 2016
TimeEventLocationMaterials
11:00 - 12:00pm EDTTopology in a Discrete Setting Seminar: Configuration Space – Test Map Scheme - Rade Zivaljevic, Mathematical Institute SASA, Belgrade11th Floor Lecture Hall 
1:30 - 2:30pm EDTGrad Student / Postdoc Seminar - Jose Samper-Casas, ICERM Semester Postdoc11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, October 4, 2016
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Ethics in Research II11th Floor Lecture Hall 
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, October 5, 2016
TimeEventLocationMaterials
11:00 - 12:00pm EDTStochastic Topology Seminar - On Random Windings - Yuliy Baryshnikov, University of Illinois at Urbana-Champaign11th Floor Lecture Hall 
1:30 - 2:30pm EDTGrad Student / Postdoc Seminar11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, October 6, 2016
TimeEventLocationMaterials
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
2:00 - 3:00pm EDTCanonical measures on the configuration space of disks in a square - Jeremy Mason, Bogazici University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, October 7, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, October 10, 2016
TimeEventLocationMaterials
8:30 - 5:00pm EDTIn observance of Indigenous Peoples Day, ICERM is closed.  
Tuesday, October 11, 2016
TimeEventLocationMaterials
9:00 - 10:00am EDTTopology in a Discrete Setting Seminar- r-fold Whitney Trick and the Topological Tverberg - Isaac Mabillard, ICERM Semester Postdoc11th Floor Lecture Hall 
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, October 12, 2016
TimeEventLocationMaterials
11:00 - 12:00pm EDTStochastic Topology Seminar - On Random Windings - Andrew Newman, Ohio State University11th Floor Lecture Hall 
1:30 - 2:30pm EDTGrad Student / Postdoc Seminar - Katie Ritchey, Ohio State University and Nick Kosar, University of Illinois at Urbana Champaign11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, October 13, 2016
TimeEventLocationMaterials
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
6:00 - 8:00pm EDTRose Whelan Wine and Cheese11th Floor Conference Room 
Friday, October 14, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, October 17, 2016
TimeEventLocationMaterials
9:00 - 9:30am EDTRegistration11th Floor Collaborative Space 
9:30 - 9:35am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:35 - 10:20am EDTA Parisi formula for the ground state energy of the Sherrington-Kirkpatrick model - Antonio Auffinger, Northwestern University11th Floor Lecture Hall
10:35 - 11:00am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 11:45am EDTUniversality of Jamming in Continuous Constrained Satisfaction - Silvio Franz, LPTMS Universite Paris-Saclay11th Floor Lecture Hall
12:00 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 2:45pm EDTConfiguration space topology as cause or signature of slow dynamics - Yoav Kallus, Santa Fe Institute11th Floor Lecture Hall
3:00 - 3:15pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:15 - 4:00pm EDTSelf-similarity in the eigenvalues of random matrices - Elizabeth Meckes, Case Western Reserve University11th Floor Lecture Hall
4:15 - 5:00pm EDTSpaces of planar embeddings - Richard Kenyon, Brown University11th Floor Lecture Hall
5:15 - 6:45pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, October 18, 2016
TimeEventLocationMaterials
9:00 - 9:45am EDTTopology of large random spaces - Michael Farber, Queen Mary, University of London11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTGeneralized statistical honeycomb and void percolation. - Benoit Charbonneau, University of Waterloo11th Floor Lecture Hall
11:30 - 12:15pm EDTProperty (T) in simplicial complexes and the spectral evolution of random graphs - Elliot Paquette, The Ohio State University11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTPersistence Diagrams in Probability and Statistics: From Materials TDA View- points - Yasu Hiraoka, Tohoku University11th Floor Lecture Hall
3:30 - 5:00pm EDTPoster Session and Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, October 19, 2016
TimeEventLocationMaterials
9:00 - 9:45am EDTRandom gluing polygons - Sergei Chmutov, Ohio State University at Mansfield11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTContinumm Percolation and Duality with Hard-Particle Systems Across Dimensions - Salvatore Torquato, Princeton11th Floor Lecture Hall
11:30 - 12:15pm EDTTopology of Random Geometric Complexes - Omer Bobrowski, Technion - Israel Institute of Technology11th Floor Lecture Hall 
12:30 - 12:40pm EDTGroup Photo 11th Floor Lecture Hall 
12:40 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTPercolating length scales in persistence diagrams from porous materials - Vanessa Robins, The Australian National University11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTRandom Clique Complexes - Christopher Hoffman, University of Washington11th Floor Lecture Hall
Thursday, October 20, 2016
TimeEventLocationMaterials
9:00 - 9:45am EDTA probabilistic approach to real enumerative geometry. - Antonio Lerario, SISSA11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTRandom signed measures constructed using Euler characteristics - Katharine Turner, EPFL11th Floor Lecture Hall
11:30 - 12:15pm EDTAlgorithmic Self-Assembly and Self-Similar Structures - Natasa Jonoska, USF11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTRandom Steiner complexes - Ron Rosenthal, Technion11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
6:30 - 8:00pm EDTICERM Public Lecture: Voting Insecurity - Barbara SimonsBrown University's Salomon Center  
Friday, October 21, 2016
TimeEventLocationMaterials
9:00 - 9:45am EDTRandom lemniscates - Erik Lundberg, Florida Atlantic University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTConnectivity and distributions of three dimensional tilings. - Caroline Klivans, Brown University11th Floor Lecture Hall
11:30 - 12:15pm EDTRecent progress in random groups - Moon Duchin, Tufts University11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTGaussian Random Knots - Eric Babson, UC - Davis11th Floor Lecture Hall
Monday, October 24, 2016
TimeEventLocationMaterials
11:00 - 12:00pm EDTTopology in a Discrete Setting Seminar - Expansion for Simplicial Complexes - Anna Gundert, Institut für Theoretische Informatik, Zürich11th Floor Lecture Hall 
1:30 - 2:30pm EDTGrad Student / Postdoc Seminar - Barbara Gutiérrez, CINVESTAV11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, October 25, 2016
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Job applications in academia11th Floor Lecture Hall
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, October 26, 2016
TimeEventLocationMaterials
11:00 - 12:00pm EDTStochastic Topology Seminar - Random Knots - Chaim Even-Zohar, ICERM Semester Postdoc11th Floor Lecture Hall 
1:30 - 2:30pm EDTGrad Student / Postdoc Seminar - Benjamin Schweinhart, Harvard University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, October 27, 2016
TimeEventLocationMaterials
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, October 28, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, October 31, 2016
TimeEventLocationMaterials
11:00 - 12:00pm EDTTopology in a Discrete Setting Seminar - Generalized complexes and the tropical moduli space of curves - Melody Chan, Brown University11th Floor Lecture Hall 
1:30 - 2:30pm EDTGrad Student / Postdoc Seminar - Bryan Chen, University of Massachusetts11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, November 1, 2016
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Hiring Process11th Floor Lecture Hall
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, November 2, 2016
TimeEventLocationMaterials
11:00 - 12:00pm EDTStochastic Topology Seminar - Dense Random Clique Complexes - Greg Malen, ICERM Semester Postdoc11th Floor Lecture Hall 
1:30 - 2:30pm EDTGrad Student / Postdoc Seminar - Marija Jelic, University of Belgrade11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, November 3, 2016
TimeEventLocationMaterials
10:30 - 12:00pm EDTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, November 4, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, November 7, 2016
TimeEventLocationMaterials
11:00 - 12:00pm ESTTopological Combinatorics of Posets and Stratified Spaces Mini Course - Moebius functions and shellability - Patricia Hersh, NC State11th Floor Lecture Hall 
1:30 - 2:30pm ESTGrad Student / Postdoc Seminar - Greg Malen, ICERM Semester Postdoc11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, November 8, 2016
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development - Papers and Journals11th Floor Lecture Hall
10:30 - 12:00pm ESTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, November 9, 2016
TimeEventLocationMaterials
11:00 - 12:00pm ESTStochastic Topology Seminar - Some problems in Stochastic Topology around topological identification of manifolds. - Shmuel Weinberger, University of Chicago11th Floor Lecture Hall 
1:30 - 2:30pm ESTGrad Student / Postdoc Seminar - Chaim Even-Zohar, ICERM Semester Postdoc11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, November 10, 2016
TimeEventLocationMaterials
10:30 - 12:00pm ESTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm ESTA theoretical framework for the analysis of Mapper - Steve Oudot, INRIAKassar House (room 205) 
Friday, November 11, 2016
TimeEventLocationMaterials
2:00 - 3:00pm ESTTopological Combinatorics of Posets and Stratified Spaces Mini Course - discrete Morse theory - Patricia Hersh, NC State11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, November 14, 2016
TimeEventLocationMaterials
11:00 - 12:00pm ESTTopological Combinatorics of Posets and Stratified Spaces Mini Course - face posets and stratified spaces - Patricia Hersh, NC State11th Floor Lecture Hall 
1:30 - 2:30pm ESTGrad Student / Postdoc Seminar - Isaac Mabillard, ICERM Semester Postdoc11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, November 15, 2016
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development - Grant Proposals11th Floor Lecture Hall
10:30 - 12:00pm ESTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, November 16, 2016
TimeEventLocationMaterials
11:00 - 12:00pm ESTStochastic Topology Seminar - Topological Similarity of Random Cell Complexes, and Curvature Flow on Graphs - Ben Schweinhart, Harvard University11th Floor Lecture Hall 
1:30 - 2:30pm ESTGrad Student / Postdoc Seminar - Wai Yeung Lam, Brown University11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, November 17, 2016
TimeEventLocationMaterials
10:30 - 12:00pm ESTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Friday, November 18, 2016
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, November 21, 2016
TimeEventLocationMaterials
1:30 - 2:30pm ESTGrad Student / Postdoc Seminar - Érika Roldán Roa, CIMAT11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, November 22, 2016
TimeEventLocationMaterials
10:30 - 12:00pm ESTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, November 23, 2016
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, November 28, 2016
TimeEventLocationMaterials
8:30 - 8:55am ESTRegistration11th Floor Collaborative Space 
8:55 - 9:00am ESTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am ESTThrifty approximations of convex bodies by polytopes - Alexander Barvinok, University of Michigan11th Floor Lecture Hall
9:50 - 10:20am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:20 - 11:00am ESTHigher-dimensional Expansion and Topological Overlap - Uli Wagner, IST, Austria11th Floor Lecture Hall
11:15 - 11:55am ESTTopological aspects of Boolean functions - Mark Goresky, ICERM and IAS11th Floor Lecture Hall
12:00 - 2:00pm ESTBreak for Lunch / Free Time  
2:00 - 2:40pm ESTToric h-vectors and Chow Betti numbers of hypersimplices - Josephine Yu, Georgia Institute of Technology11th Floor Lecture Hall
2:50 - 3:20pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:20 - 4:00pm ESTTutte chromatic relations, extensions and applications - Slava Krushkal, University of Virginia11th Floor Lecture Hall
4:15 - 4:55pm ESTMechanism design in discrete settings - Ngoc M. Tran, Hausdorff Center UT Austin11th Floor Lecture Hall
5:00 - 6:30pm ESTWelcome Reception11th Floor Collaborative Space 
Tuesday, November 29, 2016
TimeEventLocationMaterials
9:00 - 9:40am ESTPoints, lines, planes, etc. - June Huh, IAS and Princeton University11th Floor Lecture Hall
9:50 - 10:20am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:20 - 11:00am ESTDiscrete Morse theory for moduli spaces of flexible polygons, or solitaire game on the circle - Gaiane Panina, St. Petersburg Department of Steklov Institute of Mathematics RAS (PDMI)11th Floor Lecture Hall
11:15 - 11:55am ESTRandom triangulations of the two sphere - Eric Babson, UC Davis11th Floor Lecture Hall
12:00 - 2:00pm ESTBreak for Lunch / Free Time  
2:00 - 2:40pm ESTDiscrete invariants of Hamiltonian torus actions. - Yael Karshon, University of Toronto.11th Floor Lecture Hall
2:55 - 3:35pm ESTA toolbox for topologists - Pablo Soberón, Northeastern University11th Floor Lecture Hall
3:45 - 5:00pm ESTPoster Session and Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, November 30, 2016
TimeEventLocationMaterials
9:00 - 9:40am ESTLower bound theorems for manifolds and normal pseudomanifolds - Isabella Novik, University of Washington11th Floor Lecture Hall
9:50 - 10:20am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:20 - 11:00am ESTLefschetz properties of balanced 3-polytopes - Martina Juhnke-Kubitzke, Universität Osnabrück11th Floor Lecture Hall
11:15 - 11:55am ESTHyperplane Equipartitions Plus Constraints - Steven Simon, Bard College11th Floor Lecture Hall
12:10 - 12:20pm ESTGroup Photo11th Floor Lecture Hall 
12:20 - 2:20pm ESTBreak for Lunch / Free Time  
2:20 - 3:00pm ESTTopology and combinatorics of toric arrangements. - Emanuele Delucchi, University of Fribourg (Switzerland)11th Floor Lecture Hall
3:10 - 3:40pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:40 - 4:20pm ESTRegularity of complete intersections of lines - Bruno Benedetti, University of Miami11th Floor Lecture Hall
4:35 - 5:15pm ESTMatroids over hyperfields - Laura Anderson, Binghamton University11th Floor Lecture Hall
Thursday, December 1, 2016
TimeEventLocationMaterials
9:00 - 9:40am ESTSum Complexes and their Applications - Roy Meshulam, Technion11th Floor Lecture Hall
9:50 - 10:20am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:20 - 11:00am ESTPrismatic Maps for the Topological Tverberg Conjecture - Isaac Mabillard, IST Austria11th Floor Lecture Hall
11:15 - 11:55am ESTMetric reconstruction via optimal transport - Florian Frick, Cornell University11th Floor Lecture Hall
12:00 - 1:30pm ESTBreak for Lunch / Free Time  
1:30 - 2:10pm ESTVanishing theorems for highly connected lattices and the subadditivity problem - Karim Adiprasito, Hebrew University of Jerusalem11th Floor Lecture Hall
2:25 - 3:05pm ESTColorful simplicial depth - Zuzana Patáková, IST Austria11th Floor Lecture Hall
3:20 - 3:50pm ESTCoffee/Tea Break11th Floor Collaborative Space 
6:30 - 8:00pm ESTPublic Lecture - Visualizing the Future of Biomedicine - Chris R. Johnson, Ph.D, University of Utah11th Floor Lecture Hall 
Friday, December 2, 2016
TimeEventLocationMaterials
9:00 - 9:40am ESTRepresentation stability in configuration spaces via Whitney homology of the partition lattice - Patricia Hersh, North Carolina State University11th Floor Lecture Hall
9:50 - 10:20am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:20 - 11:00am ESTMarkoff Surfaces and Strong Approximation - Alexander Gamburd, Graduate Center, CUNY11th Floor Lecture Hall
11:15 - 11:55am ESTHigh-dimensional Theta Numbers - Anna Gundert, University of Cologne11th Floor Lecture Hall
12:10 - 12:50pm ESTOn Stokes sets - Yuliy Baryshnikov, University of Illinois at Urbana-Champaign11th Floor Lecture Hall
1:05 - 3:00pm ESTBreak for Lunch / Free Time  
Monday, December 5, 2016
TimeEventLocationMaterials
11:00 - 12:00pm ESTTopology in a Discrete Setting Seminar Diagonal Complexes - Gaiane Panina, St Petersburg Institute of Informatics11th Floor Lecture Hall 
1:30 - 2:30pm ESTGrad Student / Postdoc Seminar - Jeremy Cochoy, INRIA11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, December 6, 2016
TimeEventLocationMaterials
10:30 - 12:00pm ESTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, December 7, 2016
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, December 8, 2016
TimeEventLocationMaterials
10:30 - 12:00pm ESTIntroduction to Perverse Sheaves - Mark Goresky, IASKassar House (151 Thayer St.), Room 105 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Friday, December 9, 2016
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 

Associated Semester Workshops

Unusual Configuration Spaces
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Stochastic Topology and Thermodynamic Limits
Image for "Stochastic Topology and Thermodynamic Limits "
Topology and Geometry in a Discrete Setting
Image for "Topology and Geometry in a Discrete Setting"

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), 1-12.
  • 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), 101-139.
  • Ciprian S. Borcea, Ileana Streinu, New Principles for Auxetic Periodic Design, SIAM Journal on Applied Algebra and Geometry 1 1 (2017), 442-458.
  • 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), 29-44.
  • Chaim Even-Zohar, 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), 1275-1286.
  • Greg Malen, {\'E}rika {Rold{\'a}n}, Polyiamonds Attaining Extremal Topological Properties, Part I, Geombinatorics 30 (2020) no. 1, 14-25.
  • Magdalena Metlicka, Mojtaba Nouri, Ileana Streinu, Repairing gaps in Kinari-2 for large scale protein and flexibility analysis applications, 2017 IEEE International Conference on Bioinformatics and Biomedicine (BIBM), Kansas City, MO, 2017, pp. 577-580.
  • 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), 1-28.
  • 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 Roldan-Roa, 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,q-Animals, 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 no-k-equal spaces, arXiv 2006.01240 (2020).
  • Filip D. Jevti'c, R. Zivaljevi{\'c}, Generalized Tonnetz and discrete Abel-Jacobi map, arXiv 2002.09184 (2020).
  • James McInerney, Bryan Gin-ge 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, High-dimensional 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. 275--319.
  • 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), 9-19.
  • 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), 357-390.
  • 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), 87-112.
  • 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), 420-429.
  • Loebl, Martin and Ne\v{s}et\v{r}il, Jaroslav and Thomas, Robin, A journey through discrete mathematics, Springer, Cham, 2017.
  • Chaim Even-Zohar, 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 Holmes-Cerfon, Free energy of singular sticky-sphere 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), 1-36.
  • Hannah Alpert, Discrete configuration spaces of squares and hexagons, Journal of Applied and Computational Topology 4 (2020), 263-280.
  • J{\'e}r{\'e}my Cochoy, Steve Oudot, Decomposition of Exact pfd Persistence Bimodules, Discrete \& Computational Geometry 63 (2020), 255-293.
  • Filip D. Jevti{\'c}, Marija Jeli{\'c}, Rade T. Živaljevi{\'c}, Cyclohedron and Kantorovich–Rubinstein Polytopes, Arnold Mathematical Journal 4 (2017), 87-112.
  • John D. Wiltshire-Gordon, 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), 621-642.
  • Lisa Tran, Maxim O. Lavrentovich, Guillaume Durey, Alexandre Darmon, Martin F. Haase, Ningwei Li, Daeyeon Lee, Kathleen J. Stebe, Randall D. Kamien, Teresa Lopez-Leon, 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, SB-labelings and posets with each interval homotopy equivalent to a sphere or a ball, J. Comb. Theory, Ser. A 152 (2017), 104-120.
  • Lisa Tran, Hye-Na 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 smectics-A, 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), 15-31.
  • Chaim Even-Zohar, 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, 830--834.
  • Maxim Arnold, Yuliy M. Baryshnikov, Yuriy Mileyko, Typical representatives of free homotopy classes in multi-punctured 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. Wiltshire-Gordon, 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), 593-614.
  • 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 1-skeleta 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.