Seminars

The main activity of the research network is an interactive online seminar. Please join our network to get email invitations to the talks. The seminars are delivered using the Zoom videoconferencing platform. For more instructions on how to join the zoom meetings, please email the AATRN co-directors. If you missed our earlier talks you can watch them at our YouTube Channel by clicking on the links below; our YouTube Channel has over 2,200 subscribers, over 290 videos, and over 20 hours watched per day. The article How do I ... develop an online research seminar? from the September 2020 Notices of the American Mathematical Society gives a brief history of the AATRN seminar.

Please see the Topological Complexity seminar (AATRN-TC) hosted by Dan Cohen, Jesus Gonzalez, and John Oprea, and please also see the Vietoris-Rips seminar (AATRN-VR) hosted by Henry Adams and Facundo Mémoli

You our invited to join our first AATRN poster session on October 8, 2021.

We co-hosted a Tutorial-a-thon in March, 2021, that will be happening again this fall.

Upcoming seminars You may add the associated google calendar. All talks are at 11am Eastern Time unless denoted otherwise.

• Wed June 2, AA"Tea"RN tea time
• Wed June 9, No meeting
• Wed June 16, Yang-Hui He, Universes as Bigdata: from Geometry, to Physics, to Machine-Learning
• Wed June 23, Kelin Xia, Topological data analysis (TDA) based machine learning models for drug design
• Wed June 30, Daniela Egas Santander, Nerve theorems for fixed points of neural networks
• Wed July 7, Mustafa Hajij, Cell Complex Neural Networks
• Wed July 14, Mikhail Katz, Collapsing surfaces
• Wed July 21, Mason Porter, Topological Data Analysis of Spatial Complex Systems
• Wed July 28, Sohail Iqbal
• Wed Aug 4, Francesco Vaccarino
• Wed Aug 11, Kathryn Hess interviewed by Peter Bubenik
• Wed Aug 18, AA"Tea"RN tea time
• Wed Aug 25, Elchanan Solomon
• Wed Sep 1, Petar Pavešić
• Wed Sep 8, Steve Oudot
• Wed Sep 15, Martina Scolamiero
• Wed Sep 22, Teresa Heiss
• Wed Sep 29, Lisbeth Fajstrup interviewed by Martin Raussen
• Wed Oct 6, Stéphane Béreux
• Wed Oct 13, Moo K Chung
• Wed Oct 20, Robert Adler interviewed by Omer Bobrowski
• Wed Oct 27, Jonathan Emmanuel Treviño Marroquin
• Wed Nov 3, Jasna Urbančič
• Wed Nov 10, Gunnar Carlsson
• Wed Nov 17, Bastian Rieck
• Wed Dec 1, Vasileios Maroulas
• Wed Jan 19, Yuliy Baryshnikov
• 2022, Wed Feb 9, 6pm Eastern, Shmuel Weinberger interviewed by Katharine Turner
• 2022, Wed Mar 9, Robert Ghrist interviewed by Radmila Sazdanovic

Past seminars

Spring 2021

• Wed Jan 20, Noah Giansiracusa, Looking for geometry in the Supreme Court
• Wed Jan 27, Konstantin Michaikow, Nonlinear Dynamics in an Age of Heuristic Science
• Wed Feb 3, Gunnar Carlsson interviewed by Vin de Silva
• Wed Feb 10, Anthea Monod, Tropical geometry of phylogenetic tree spaces
• Wed Feb 17, Neža Mramor, An application of discrete Morse theory to robot motion planning
• Wed Feb 24, Ingrid Membrillo Solis, The dynamics of the phase transition in liquid crystals: what persistent homology reveals
• Wed Mar 3, AA"Tea"RN tea time and introduction to the Tutorial-a-thon
• Wed Mar 10, Tutorial-a-thon
• Wed Mar 17, Tutorial-a-thon
• Wed Mar 24, Tutorial-a-thon
• Wed Mar 31, Marinka Zitnik, Graph representation learning and its applications to biomedicine
• Wed Apr 7, Marzieh Eidi, How optimal transport can help us to determine curvature of complex networks?
• Tues Apr 13, Menachem Lazar, High-dimensional data, level-set geometry, and Voronoi analysis of spatial point sets
• Wed Apr 21, Massimo Ferri interviewed by Claudia Landi
• Wed Apr 28, Yulia Gel, Topological Clustering of Multilayer Networks
• Wed May 5, AA"Tea"RN tea time
• Wed May 12, Paul Bendich, Data Complexes, Obstructions, Persistent Data Merging
• Wed May 19, Beatriz Pascual Escudero, Using Algebraic Geometry to detect robustness in Reaction Networks
• Wed May 26, Aurora Clark, Multiscale Many-body Correlations and Structure in Chemistry Data – Integrating Graphs, Topology and Geometry to Provide Fundamental Insight

You may also be interested in a subset of the contributed and accepted ATMCS 2020 talks that we hosted online over January 11-16, 2021.

Fall 2020

• Wed Sep 2, Hal Schenck, Algebraic tools for multiparameter persistent homology
• Wed Sep 9, Davorin Lešnik, Sampling smooth manifolds using ellipsoids
• Wed Sep 16, Bala Krishnamoorthy, Steinhaus filtration and stable paths in the Mapper
• Wed Sep 23, Hannah Alpert, Combinatorial models of disk configuration spaces
• Wed Sep 30, Herbert Edelsbrunner interviewed by Dmitriy Morozov
• Wed Oct 7, Cüneyt Akçora, Topological data analysis on networks – Applications and scalability issues
• Wed Oct 14, AA"Tea"RN tea time!
• Wed Oct 21, Martin Lo, The topology of the 3 body problem
• Wed Oct 28, Peter Bubenik, Homological algebra for persistence modules
• Wed Nov 18, Vanessa Robins interviewed by Elizabeth Bradley
• Wed Dec 2, AA"Tea"RN tea time
• Wed Dec 9, Raphaël Tinarrage, Persistent Stiefel-Whitney classes

Summer 2020. You may also be interested in a subset of the contributed and accepted ATMCS 2020 talks which were hosted online.

• Wed June 3, Amzi Jeffs, Convex sunflower theorems and neural codes
• Wed June 10, Primoz Skraba, Algebraically manipulating persistence modules (and a Minkowski-type bound)
• Wed June 17, Debabrota Basu, Epsilon-net induced lazy witness complex for efficient topological data analysis
• Wed June 24, Robyn Brooks and Celia Hacker, Morse-based fibering of the rank invariant
• Wed July 1, Andrew Thomas, Functional limit theorems for Euler characteristic processes
• Wed July 8, Johnathan Bush, Borsuk-Ulam theorems for maps into higher-dimensional codomains
• Wed July 15, Austin Lawson, Persistence curves: A canonical framework for summarizing persistence diagrams
• Wed July 22, Cheng Xin, Generalized persistence algorithm for decomposing multi-parameter persistence modules
• Wed July 29, Mateusz Juda, Unsupervised features learning for sampled vector fields
• Wed Aug 5, Álvaro Torras Casas, The persistence Mayer Vietoris spectral sequence
• Wed Aug 12, Ellen Gasparovic, The medial axis in image analysis, the homological simplification problem, and gerrymandering
• Wed Aug 19, Pierre Baudot: Cohomological characterization of Information and Higher Order Statistical Structures - Machine Learning and Statistical Physic Aspects
• Wed Aug 26, Jānis Lazovskis, Moduli spaces of Morse functions for persistence

Spring 2020

• Wed Jan 29, Elizabeth Munch, Featurization of persistence diagrams using template functions for machine learning tasks
• Wed Feb 12, Shmuel Weinberger, Geometry and topology of decision
• Wed Feb 26, Christopher Tralie, TDALabs: (Some of) TDA's greatest hits in interactive python
• Wed March 11, Erika Roldan Roa, Evolution of the homology and related geometric properties of the Eden growth model
• Wed April 8, Oliver Vipond, Local equivalence of metrics for multiparameter persistence modules
• Wed April 15, Gugan Thoppe, The bulk and the extremes of online minimal spanning acycles
• Wed April 22, Hengrui Luo, Lower dimensional topological information: Theory and applications
• Wed April 29, Wojciech Chachólski, TDA invariants and model categories
• Wed May 6, Barbara Giunti, Invariants for tame parametrised chain complexes
• Wed May 13, Tao Hou, Computing minimal persistent cycles: Polynomial and hard cases
• Wed May 20, Bei Wang, TopoAct: Visually exploring the shape of activations in deep learning
• Wed May 27, Lewis Mead, From large to infinite random simplicial complexes

Fall 2019

• Wed Sep 4, Sayan Mukherjee, A fiber bundle theory for shapes
• Wed Sep 25, Žiga Virk, Geometric interpretation of persistence
• Wed Oct 9, Kathryn Hess, How to grow synthetic digital neurons
• Wed Oct 23, Clément Maria, Parameterized complexity of quantum invariants of knots
• Wed Nov 13, Eli Grigsby, On the topological expressiveness of neural networks
• Wed Nov 20, Rachel Neville, Topological techniques for characterizing ion bombardment systems
• Tues Dec 3, Katharine Turner, Why should q=p in the Wasserstein distance between persistence diagrams? Let me count the ways.
• Wed Dec 11, Omer Bobrowski, Homological percolation: The formation of giant cycles

Spring 2019

• Tues Jan 22, Mikael Vejdemo-Johansson, Multiple hypothesis testing with persistent homology
• Tues Feb 5, Erin Chambers, Computing optimal homotopies
• Tues, February 19, Mathieu Carrière, On the metric distortion of embedding persistence diagrams into reproducing kernel Hilbert spaces
• Tues, March 5, Sarit Agami, Modeling and replicating persistence diagrams
• Tues March 19, Ulrich Bauer, Persistence diagrams as diagrams
• Tues March 26, Christian Lehn, Limit theorems in topological data analysis
• Tues Apr 9, Vladimir Itskov, Directed complexes, sequence dimension and inverting a neural network
• Tues Apr 23, Nina Otter, The magnitude of a metric space
• Tues May 7, Jon Pakianathan, On a canonical construction of tessellated surfaces from finite groups

Fall 2018

• Tues August 28, Bernd Sturmfels, Learning algebraic varieties from samples
• Tues September 18, Erica Flapan, Topological and geometric symmetries of molecular structures
• Tues October 16, Elchanan Solomon, An intrinsic persistent homology transform
• Tues October 30, Jeffrey Giansiracusa, Multiparameter persistence vs parametrized persistence
• Tues November 13, Jacek Brodzki, Persistence in action: quantifying lung structure in COPD and solubility of chemical compounds
• Tues December 4, Ezra Miller, Real multiparameter persistent homology
• Mon December 10, Heather Harrington, Multi-parameter persistent homology and applications

Spring 2018

• Tues January 30, David Meyer, Some algebraic stability theorems for generalized persistence modules
• Thurs February 8, Michael Farber, Motion planning in aspherical spaces, Wright College Topological Robotics Symposium
• Thurs February 8, Yuli Rudyak, Maps of Degree 1 and Lusternik-Schnirelmann Category, Wright College Topological Robotics Symposium
• Wed February 28, Primoz Skraba, An approximate nerve theorem
• Tues March 13, Rachel Levanger, A comparison framework for interleaved persistence modules
• Tues April 3, Benjamin Schweinhart, Persistent homology and the upper box dimension
• Wed April 25, Yusu Wang, Graph reconstruction via discrete Morse theory
• Wed May 9, Vitaliy Kurlin, Skeletonization algorithms with theoretical guarantees for unorganized point clouds

Fall 2017

• Wed September 20, Lori Ziegelmeier, Persistence images: A stable vector representation of persistent homology
• Wed October 11, Henry Adams, Metric reconstruction via optimal transport
• Tues October 24, Pawel Dlotko, Practical problems, theory and computations: A few simple stories on topology in action
• Wed November 1, Chad Topaz, Topological data analysis of collective motion
• Tue November 28, Vanessa Robins, Persistence diagrams of bead packings
• Tue December 19, Raúl Rabadán, Exploring biological dynamical processes using topological data analysis applied to single cell expression data

Spring 2017

• Tue January 31, Amit Patel, Generalized Persistence Diagrams
• Tue February 7, Michael Catanzaro, Stochastic Dynamics on CW Complexes
• Tue February 28, Greg Malen, k-Collapsibility of Random Clique Complexes
• Wed April 5, Magnus Botnan, Multidimensional Persistence
• Wed April 12, Greg Henselman, Matroids & Canonical Forms: Theory and Applications
• Tues April 25, José Samper, Higher Chordality

Fall 2016

• Tue September 6, Gunnar Carlsson, Local to global principles in persistent homology
• Wed September 21, Bruno Benedetti, Optimal discrete Morse vectors are not unique
• Wed October 5, Sara Kalisnik, Tropical Coordinates on the Space of Persistence Barcodes
• Tue October 18, Washington Mio, Stable Homology of Metric-Measure Spaces
• Tue November 1, Florian Frick, Topology and combinatorics of fair division
• Wed December 14, Anthea Monod, Topological Summaries of Tumor Images Improve Prediction of Disease Free Survival in Glioblastoma Multiforme

Spring 2016

• Tue January 12, Omer Bobrowski, Maximally persistent cycles in random geometric complexes
• Tue January 26, Matthew Kahle, Topology of configuration spaces of hard spheres
• Tue February 2, Sanjeevi Krishnan, Homological Programming
• Tue February 9, Harish Chintakunta, Topological Data Analysis and Signal Processing
• Wed February 24, Kathryn Hess, Topological analysis of digital reconstructions of neural microcircuits
• Tue March 15, Benjamin Schweinhart, Statistical Topology of Random Cell Complexes, and Applications  
• Tue April 12, Chad Giusti, Topology and neural computation
• Wed April 20, Bala Krishnamoorthy, Linear Programming in Geometric Measure Theory

Fall 2015

• Tue October 6, Michael Lesnick, Algebraic Stability of Zigzag Persistence Modules
• Tue October 20, Matthew Wright, Visualizing 2-Dimensional Persistent Homology 
• Tue October 27, Justin Curry, Stratified covering maps and interleavings
• Tue November 10, Hammurabi Mendes, Byzantine Computability and Combinatorial Topology
• Tue December 2, Facundo Memoli, Hierarchical Clustering on Asymmetric Networks

Spring 2015

• Tue January 13, Larry Wasserman, Robust Topological Inference
• Wed January 21, Tamal Dey, Multiscale Mapper: A Framework for Topological Summarization
• Tue February 10, Javier Arsuaga, Applications of computational topology to the analysis of breast cancer copy number data
• Web February 25, Elizabeth Munch, The interleaving distance for Reeb graphs
• Tue March 3, Henry Adams, The Vietoris-Rips complex of the circle
• Tue March 17, Bei Wang, Geometric Inference on Kernel Density Estimates
• Tue March 24, Don Sheehy, Sensors, Sampling, and Scale Selection: A Homological Approach
• Wed April 1, Michael Robinson, Sheaf-based modeling of wireless communications
• Tue April 7, Vidit Nanda, Morse theory for Local Coefficients
• Wed April 15, Katharine Turner, PCA of persistent homology rank functions with case studies in point processes, colloids and sphere packings
• Wed April 22, Jose Perea, Projective coordinates for the analysis of data
• Wed April 29, Anthony Bak, Spaces of Shapes: Persistent Homology for Drug Discovery

Fall 2014

• Tue September 23, Robert Ghrist, Poincare Duality in Network Flow Optimization
• Wed October 1, Shmuel Weinberger, On Topological Inference
• Tue October 7, John Harer, Topological Data Analysis and Machine Learning
• Wed October 15, Gunnar Carlsson, On the algebraic geometry of spaces of persistence modules
• Tue October 21, Sayan Mukherjee, Stochastic topology and statistical inference
• Tue October 28, Peter Bubenik, Statistical topological data analysis
• Wed November 5, Konstantin Mischaikow, Nonlinear Dynamics, High Dimensional Data, and Persistent Homology
• Wed November 19, Vin de Silva, Functors and cosheaves for topological persistence
• Wed December 10, Yusu Wang, Comparing Graphs via Persistence Distortion

Some of the slides from 2014-2016 are also available here.