# Algebraic Topology and Topological Data Analysis: A Conference in Honor of Gunnar Carlsson

### Advisory

A block of rooms have been reserved for the conference:

For the Graduate Hotel, please use this link to make your reservation and receive the preferred rate.

For the Days Inn, please call 612-254-6418 (front desk is staffed 24/7), ask for Topology Workshop - Gunnar Carlsson Birthday and receive the preferred rate.

### Organizers

- Matthew Kahle, The Ohio State University
- Facundo Mémoli, The Ohio State University
- Kirsten Wickelgren, Duke University

This conference will bring together researchers from both traditional aspects within Algebraic Topology (such as homotopy theory, knot theory, K-theory, etc.) with more recently developed techniques such as those from Topological Data Analysis and Applied Algebraic Topology (such as persistent homology, applied category theory, quantitative topology, dimension reduction, etc.).

Having mentored and collaborated with many mathematicians and applied scientists, Gunnar Carlsson has been a central figure in the recent development of both currents. This week-long conference will therefore explore a wide range of topics at the confluence between Algebraic Topology and Topology Data Analysis. As such it has a strong potential to seed new research directions which will not only widen the landscape of topological techniques in data analysis, but could also suggest new possible directions within algebraic topology.

### Schedule

Subscribe to this event's calendar

#### Monday, August 1, 2022

Time | Activity | Location |
---|---|---|

8:00 am - 8:50 am | Coffee and Registration | Keller 3-176 |

8:50 am - 9:00 pm | Welcome and Introduction | Keller 3-180 |

9:00 am - 10:00 am | Topological explorations of neuron morphology
Kathryn Hess-Bellwald (École Polytechnique Fédérale de Lausanne (EPFL)) |
Keller 3-180 |

10:00 am - 10:30 am | Coffee Break | Keller 3-176 |

10:30 am - 11:30 am | Braids and Hopf algebras
Craig Westerland (University of Minnesota, Twin Cities) |
Keller 3-180 |

11:30 am - 1:00 pm | Lunch | |

1:00 pm - 1:45 pm | Homology crowding in configuration spaces of disks
Hannah Alpert (Auburn University) |
Keller 3-180 |

2:00 pm - 2:45 pm | Coarse coherence of metric spaces and groups
Boris Goldfarb (State University of New York - Albany) |
Keller 3-180 |

3:00 pm - 3:45 pm | Limits of Dense Simplicial Complexes
Santiago Segarra (Rice University) |
Keller 3-180 |

4:00 pm - 4:45 pm | Invertibility in Category Representations
Sanjeevi Krishnan (The Ohio State University) |
Keller 3-180 |

#### Tuesday, August 2, 2022

Time | Activity | Location |
---|---|---|

8:30 am - 9:00 am | Coffee | Keller 3-176 |

9:00 am - 10:00 am | Motivic Euler characteristics and the Motivic Segal-Becker theorem (Remotely)
Roy Joshua (The Ohio State University) |
Keller 3-180 |

10:00 am - 10:15 am | Group Photo | |

10:15 am - 10:30 am | Coffee Break | Keller 3-176 |

10:30 am - 11:30 am | Effective constructions in algebraic topology and topological data analysis
Anibal Medina-Mardones (Max Planck Institute for Mathematics) |
Keller 3-180 |

11:30 am - 1:00 pm | Lunch | |

1:30 pm - 2:15 pm | Lecture
Chad Giusti (University of Delaware) |
Keller 3-180 |

2:30 pm - 3:15 pm | Persistent cup-length
Ling Zhou (The Ohio State University) |
Keller 3-180 |

3:30 pm - 4:15 pm | Witness complexes and Lagrangian duality
Erik Carlsson (University of California, Davis) |
Keller 3-180 |

4:30 pm - 5:15 pm | Ramification in Higher Algebra
John Berman (University of Massachusetts) |
Keller 3-180 |

#### Wednesday, August 3, 2022

Time | Activity | Location |

8:30 am - 9:00 am | Coffee | Keller 3-176 |

9:00 am - 10:00 am | Toward conjectures of Rognes and Church--Farb--Putman (Lecture Remotely)
Jenny Wilson (University of Michigan) |
Keller 3-180 |

10:00 am - 10:30 am | Coffee Break | Keller 3-176 |

10:30 am - 11:30 am | Path induction and the indiscernibility of identicals
Emily Riehl (Johns Hopkins University) |
Keller 3-180 |

11:30 am - 1:00 pm | Lunch | |

1:00 pm - 1:45 pm | Decomposition of topological Azumaya algebras in the stable range
Niny Arcila-Maya (Duke University) |
Keller 3-180 |

2:00 pm - 2:45 pm | Persistent homology and its fibre
Ulrike Tillmann (University of Oxford) |
Keller 3-180 |

#### Thursday, August 4, 2022

Time | Activity | Location |
---|---|---|

8:30 am - 9:00 am | Coffee | Keller 3-176 |

9:00 am - 10:00 am | Lecture (Remotely)
Sara Kalisnik (ETH Zürich) |
Keller 3-180 |

10:00 am - 10:30 am | Coffee Break | Keller 3-176 |

10:30 am - 11:30 am | Vector bundles for data alignment and dimensionality reduction
Jose Perea (Northeastern University) |
Keller 3-180 |

11:30 am - 1:00 pm | Lunch | |

1:00 pm - 1:45 pm | Lecture
Mona Merling (University of Pennsylvania) |
Keller 3-180 |

2:00 pm - 2:45 pm | Equivariant methods in chromatic homotopy theory
XiaoLin (Danny) Shi (University of Chicago) |
Keller 3-180 |

3:00 pm - 3:45 pm | Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips Complexes
Henry Adams (Colorado State University) |
Keller 3-180 |

4:00 pm - 4:45 pm | Gratitude
Vin de Silva (Pomona College) |

#### Friday, August 5, 2022

Time | Activity | Location |
---|---|---|

8:30 am - 9:00 am | Coffee | Keller 3-176 |

9:00 am - 10:00 am | Lecture
Gunnar Carlsson (Stanford University) |
Keller 3-180 |

10:00 am - 10:30 am | Coffee Break | Keller 3-176 |

10:30 am - 11:30 am | Approximations to Classifying Spaces from Algebras
Ben Williams (University of British Columbia) |
Keller 3-180 |

### Participants

Name | Department | Affiliation |
---|---|---|

Henry Adams | Department of Mathematics | Colorado State University |

Hannah Alpert | Department of Applied Mathematics and Statistics | Auburn University |

Niny Arcila-Maya | Duke University | |

John Berman | Department of Mathematics | University of Massachusetts |

Robyn Brooks | Department of Mathematics | Boston College |

Johnathan Bush | Department of Mathematics | University of Florida |

Marco Campos | Department of Mathematics | University of Houston |

Erik Carlsson | Department of Computational and Applied Mathematics | University of California, Davis |

Gunnar Carlsson | Department of Mathematics | Stanford University |

Christopher Chia | Department of Mathematical Sciences | Binghamton University (SUNY) |

Jacob Cleveland | Department of Mathematics | Colorado State University |

Mathieu De Langis | Department of Mathematics | University of Minnesota, Twin Cities |

Vin de Silva | Department of Mathematics | Pomona College |

Alex Elchesen | Department of Mathematics | Colorado State University |

Russell Funk | Strategic Management and Entrepreneurship | University of Minnesota, Twin Cities |

Thomas Gebhart | Department of Computer Science and Engineering | University of Minnesota, Twin Cities |

Chad Giusti | Department of Mathematics | University of Delaware |

Boris Goldfarb | Department of Mathematics and Statistics | State University of New York - Albany |

Iryna Hartsock | Department of Mathematics | University of Florida |

Kathryn Hess-Bellwald | Department of Mathematics | École Polytechnique Fédérale de Lausanne (EPFL) |

Anh Hoang | Department of Mathematics | University of Minnesota, Twin Cities |

Roy Joshua | Department of Mathematics | The Ohio State University |

Matthew Kahle | Department of Mathematics | The Ohio State University |

Sara Kalisnik | Department of Computational and Applied Mathematics | ETH Zürich |

Jennifer Kloke | Data | LinkedIn Corporation |

Miroslav Kramar | Department of Mathematics | University of Oklahoma |

Sanjeevi Krishnan | Department of Mathematics | The Ohio State University |

Chung-Ping Lai | Department of Mathematics | Oregon State University |

Kang-Ju Lee | Department of Mathematical Sciences | Seoul National University |

Guchuan Li | Department of Mathematical Sciences | University of Michigan |

Wenwen Li | Department of Mathematics | University of Oklahoma |

Miguel Lopez | Department of Mathematics | University of Pennsylvania |

Anibal Medina-Mardones | Max Planck Institute for Mathematics | |

Facundo Mémoli | Department of Mathematics | The Ohio State University |

Mona Merling | University of Pennsylvania | |

Elias Nino-Ruiz | Department of Computer Science | Universidad del Norte |

Jose Perea | Department of Mathematics and Computer Science | Northeastern University |

Emily Riehl | Department of Mathematics & Statistics | Johns Hopkins University |

Thomas Roddenberry | Department of Electrical and Computer Engineering | Rice University |

Jerome Roehm | Department of Mathematical Sciences | University of Delaware |

Benjamin Ruppik | Institute for Informatics & Institute for Mathematics | Heinrich-Heine-Universität Düsseldorf |

Eli Schlossberg | Department of Mathematics | University of Minnesota, Twin Cities |

Nikolas Schonsheck | Department of Mathematical Sciences | University of Delaware |

Santiago Segarra | Department of Electrical and Computer Engineering | Rice University |

XiaoLin (Danny) Shi | Department of Mathematics | University of Chicago |

Alexander Smith | Chemical and Biological Engineering | University of Wisconsin, Madison |

Andrew Thomas | Center for Applied Mathematics | Cornell University |

Ulrike Tillmann | Mathematical Institute | University of Oxford |

Mikael Vejdemo-Johansson | Department of Mathematics | College of Staten Island, CUNY |

Elena Wang | Department of Computational Mathematics, Science, and Engineering | Michigan State University |

Craig Westerland | School of Mathematics | University of Minnesota, Twin Cities |

Kirsten Wickelgren | Department of Mathematics | Duke University |

Ben Williams | Department of Computational and Applied Mathematics | University of British Columbia |

Jenny Wilson | University of Michigan | |

Iris Yoon | Mathematical Institute | University of Oxford |

Ningchuan Zhang | Department of Mathematics | University of Pennsylvania |

Ling Zhou | Department of Mathematics | The Ohio State University |

Shaopeng Zhu | Department of Computer Science | University of Maryland |

Lori Ziegelmeier | Department of Mathematics | Macalester College |