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 Henry Adams, Sara Kalisnik, or Elchanan Solomon. 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 1,300 subscribers, over 180 videos, and over 10 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 online seminar (AATRN-TC) hosted by Dan Cohen, Jesus Gonzalez, and John Oprea.
Fall 2020 and Spring 2021. You may add the associated google calendar. All talks are at 11am Eastern Time unless denoted otherwise.
- Wed Aug 26, Jānis Lazovskis, Moduli spaces of Morse functions for persistence
- 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, Michelle Feng
- Wed Dec 9, Raphaël Tinarrage
- Wed Dec 16, Lisbeth Fajstrup
- Wed Jan 20, 2021, Noah Giansiracusa
- Wed Jan 27, 2021, Konstantin Michaikow
- Wed Feb 3, 2021, Gunnar Carlsson interviewed by Vin de Silva
- Wed Feb 10, 10am Eastern, Anthea Monod, Tropical geometric variation of metric n-tree topologies
- Wed Feb 17, Neža Mramor
- Wed Feb 24, Ingrid Membrillo Solis
- Wed Mar 3, Kiko Belchí, A numerical measure of the instability of mapper-type algorithms
- Wed Mar 10, AA"Tea"RN
- Wed Mar 31, Marinka Zitnik
- Wed Apr 14, 2021, Francis Motta
- Wed Apr 21, 2021, Massimo Ferri interviewed by Claudia Landi
- Wed Apr 28, 2021, Yulia Gel
- Wed May 5, 2021, Stéphane Béreux
Summer 2020. You may also be interested in a subset of the contributed and accepted ATMCS 2020 talks which were hosted online.
- Wed May 27, Lewis Mead, From large to infinite random simplicial complexes
- 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
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
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.