Applied Topology Seminar

Most talks are uploaded to our YouTube channel.

To receive the Zoom links for events, join our mailing list at https://groups.google.com/g/aatrn, and you may be interested to add our associated google calendar. If you have a speaker suggestion for the Speaker Selection Committee to consider, please fill out this form.

All talks are at 11am Eastern Time (UTC-5 or UTC-4, depending on daylight savings), unless denoted otherwise. You may also add our associated google calendar. 

• Wed, Apr 23, Sara Scaramuccia, Monodromy in bi-parameter persistence modules

• Wed, Apr 30, Andrea Guidolin, Barcode matchings and p-norms of persistence modules

• Wed, May 7, Ulderico Fugacci, Topology or Learning? A Naive Analysis

• Wed, May 14, Alex Elchesen

• Wed, May 21, Erik Amézquita

• Wed, May 28, Iván Rasskin

• Wed, June 4, Nikola Sadovek

• Wed, June 11, Raphaël Tinarrage

• Wed, June 18, María José Jiménez

• Wed, July 2, Nicolò Zava

• Wed, July 9, 9am EDT, Steve Oudot

• Wed, July 16, Florian Russold

• Wed, July 30, Tung Lam

• Wed, Aug 6, Abigail Hickok

• Wed, Aug 13, Astrid Olave-Herrera

• Aug 18-22, The Geometric Realization of AATRN, iMSi, Chicago

• Wed, Aug 27, Herbert Edelsbrunner

• Wed, Sep 3, Hubert Wagner

• Wed, Sep 10, Primož Škraba

• Wed, Sep 17, Robyn Brooks

• Wed, Sep 24, Lisbeth Fajstrup

• Wed, Oct 1, Mehdi Yazdi

• Wed, Oct 8, Shreyas Samaga

• Wed, Oct 15, AA"Tea"RN Tea Time

• Wed, Oct 22, 9:30pm JST, Enhao Liu

• Wed, Oct 29, Raju Kumar Gupta

• Wed, Nov 5, Julian Brüggemann

• Wed, Nov 12, Abhishek Rathod

• Wed, Nov 19, 7:30pm EST, Sungrim Seirin-Lee 

• Wed, Dec 3,  time TBD, Paul Ignacio

• Wed, Dec 10, Shu Kanazawa

Spring 2025

• Wed, Jan 15, Yasuaki Hiraoka, scEGOT: Single-cell trajectory inference framework based on entropic Gaussian mixture optimal transport

• Wed, Jan 22, Giovanni Petri, Renormalization and Higher-Order Interactions: Bridging Structure and Dynamics in Complex Systems

• Wed, Jan 29, Mathieu Carrière, Diffeomorphic interpolation for efficient persistence-based topological optimization

• Wed, Feb 5,  Carlo Collari, Uberhomology, combinatorics and the Mayer-Vietoris spectral sequence

• Wed, Feb 12,  AA"Tea"RN Tea Time

• Wed, Feb 19, Vanessa Robins, The correspondence of max-flow to the absolute permeability of porous systems

• Wed, Feb 26, Iolo Jones, New methods in diffusion geometry

• Wed, Mar 5, Stefan Huber, Topological Data Analysis and Industrial Automation

• Wed, Mar 12,  Vadim Lebovici, Operations on constructible functions and generalized valuations

• Wed, Mar 19,  Shiying Li, Linear independent component analysis in Wasserstein space

• Wed, Mar 26,  Yuka Kotorii, On classification and distinction of link-homotopy classes of links

• Wed, Apr 2, Ángel Alonso, A new approximation of the multicover

• Wed, Apr 16, AA"Tea"RN Tea Time

Fall 2024

• Wed, Sep 4, Michael Postol, Steenrod Squares and Data Science: Is There a Connection?

• Wed, Sep 11,  Matt Piekenbrock, Spectral relaxations of the Persistent Rank Invariant

• Wed, Sep 18, Sara Veneziale, Machine learning detects terminal singularities

• Wed, Oct 2, Alexander McCleary, Persistent Homology for Infinite Complexes

• Wed, Oct 9, Radmila Sazdanovic, The shape of relations: knots and other stories

• Wed, Oct 16, David Loiseaux, Multiparameter Persistence for Machine Learning

• Wed, Oct 23, AA"Tea"RN Tea Time

• Wed, Oct 30, Elena Wang, Measuring Graph Distance using the Labeled Merge Tree Interleaving Distance

• Wed, Nov 6, Nikola Milićević, Homotopy and singular homology groups of finite digraphs

• Wed, Nov 13, Caroline Moosmüller, Trajectory inference in Wasserstein space

• Wed Nov 20, Corentin Lunel, Hopf Arborescent Links, Minor Theory, and Decidability of the Genus Defect

• Wed, Dec 4, Monique Teillaud, Triangulations, CGAL, and hyperbolic surfaces

• Wed, Dec 11, Paweł Dłotko, Feature Extraction and Visualization Methods in TDA

Summer 2024

• Wed June 5, Yariana Diaz, Completely-decomposable subcategories of quiver representations

• Wed June 19, Qingsong Wang, Measure Theoretic Reeb Graphs

• Wed June 26, Fabian Roll, Bridging Persistent Homology and Discrete Morse Theory with Applications to Shape Reconstruction

• Wed July 3, AA"Tea"RN Tea Time

• Wed, July 10, Killian Meehan, Topological Node2vec: improving graph embeddings with persistent homology

• Wed, July 17, Rayna Andreeva, Metric space magnitude and generalization in neural networks 

• Wed July 24, Nataša Jonoska, Topological Problems Associated with DNA Nanostructures

• Wed, July 31, Vidit Nanda, Harder-Narasimhan Filtrations of Persistence Modules

• Wed, Aug 7, Yusuke Imoto, Single-cell trajectory analysis with V-Mapper

• Wed, Aug 14, Tamal Dey, Computing Generalized Ranks of Persistence Modules via Unfolding to Zigzag Modules

• Wed Aug 21, Melinda Kleczynski, Persistent homology of plant-pollinator interactions: The importance of flowering plant surveys

• Wed, Aug 28, Audun Myers, Understanding Temporal (Hyper)graph Dynamics with Zigzag Persistence

Spring 2024

• Wed Jan 10, AA"Tea"RN Tea Time

• Wed Jan 17, Wenwen Li, 2-Parameter Persistent Homology of the Second Configuration Spaces of Star Graphs

• Wed Jan 24, Davide Gurnari, Harmonic Persistent Homology for disentangling multiway interaction in data

• Wed Jan 31, Robin Belton, Time Series and Biological Network Analysis via Directed Graphs

• Wed Feb 7, Andreas Ott, Characterizing convergent evolution with persistent homology

• Wed Feb 14, Claudia Landi, Barcodes for the topological analysis of gradient-like vector fields

• Mon Feb 19, Michael Robinson, The snake lemma and indecomposable chain maps

• Wed Feb 28, AA"Tea"RN Tea Time

• Wed Mar 6, Yossi Bokor Bleile, Microstructure analysing using geometry and topology

• Wed Mar 13, Bernadette Stolz, Applications of topology to data from oncology

• Wed Mar 20, Elizabeth Munch, Bounding the Interleaving Distance for Mapper Graphs with a Loss Function 

• Wed Mar 27, Giuliamaria Menara, Eulerian magnitude homology: subgraph structure and random graphs

• Wed Apr 3, Tatum Rask, Poincaré Duality for Generalized Persistence Diagrams of (co)Filtrations 

• Wed Apr 10, Asuka Takatsu, On geometric properties of sliced/disintegrated optimal transport metrics

• Wed Apr 17, Juan Pablo Vigneaux, A combinatorial approach to categorical Möbius inversion and magnitude

• Wed Apr 24, Amber Wu, Topological Data Analysis in an Economic Context: Property Tax Maps

• Wed May 1, Kelly Maggs, Cohomology classes in the RNA transcriptome

• Wed May 8, Sarah McGuire, Classification of Euler Characteristic Transforms using convolutional neural networks

• Wed May 15, Björn Sandstede, Pattern statistics and model comparison via topological data analysis

• Wed May 22, Živa Urbančič, On clustering scRNA-seq data

• Wed May 29, Bianca Dornelas, Collapsing higher order Čech to higher order Delaunay complexes: current results and open questions

Fall 2023

• Wed Sep 6, Keunsu Kim, Exact multi-parameter persistent homology of time-series data

• Wed Sep 13, Chao Chen, Topological Uncertainty and Topological Representations for Biomedical Image Analysis

• Wed Sep 20, Patrick Schnider, Topological Methods in Discrete Geometry

• Wed Sep 27, AA"Tea"RN Tea Time

• Wed Oct 4, Shreya Arya, A sheaf-theoretic construction of Shape Space

• Wed Oct 18, Maddie Weinstein, Metric Algebraic Geometry

• Wed Oct 25, Simon Willerton, Instantaneous dimension of metric spaces via spread and magnitude

• Wed Nov 1, Chunyin Siu, The Asymptotics of the Expected Betti Numbers of Preferential Attachment Clique Complexes

• Wed Nov 8, Manish Saggar, Precision dynamical mapping to better characterize fluctuations in brain activity in healthy and patient populations

• Wed Nov 15, Takaaki Aoki, Potential landscape of human flow in cities

• Wed Nov 29, Inés García-Redondo, Computable Stability for Persistence Rank Function Machine Learning

• Wed Dec 6, Tomoki Uda, Stability of Reeb ordering method in the framework of pospaces

• Wed Dec 13, Niklas Hellmer, Topology-Driven Goodness-of-Fit Tests in Arbitrary Dimensions

Summer 2023

• Wed June 7, Håvard Bakke Bjerkevik, Stabilizing decomposition of multiparameter modules

• Wed June 21, AA"Tea"RN tea time

• Wed June 28, Anna Song, Generalized Morse Theory of Distance Functions to Surfaces for Persistent Homology

• Wed July 5, Ana Lucía García Pulido, Bi-Lipschitz embeddings of the space of persistence barcodes

• Wed July 19, Georg Essl, Topology in Digital Sound Synthesis

• Wed July 26, Anna Schenfisch, Ordering Classes of Descriptor Types by their Ability to Faithfully Represent Shapes

• Wed Aug 2, Vijay Natarajan, Scalable Computation of the Extremum Graph

• Wed Aug 9, Carina Curto, Using topology to study the geometry of neural correlations

• Wed Aug 16, Ondřej Draganov, TDA for Chromatic Point Clouds

• Wed Aug 23, Sushovan Majhi, Demystifying Latschev's Theorem for Manifold Reconstruction

Spring 2023

• Wed Jan 11, AA"Tea"RN tea time

• Wed Jan 18, Dmitriy Morozov, Topological Optimization with Big Steps

• Wed Jan 25, Matthew Kahle, Configuration spaces of hard squares

• Wed Feb 1, Claudia Landi interviewed by Barbara Giunti

• Web Feb 8, Luis Scoccola, Recent Advances in the Theory and Implementation of Multi-Parameter Persistence

• Web Feb 15, Nadav Dym, Efficient Invariant Embeddings for Universal Equivariant Learning

• Wed Feb 22, Sarah Tymochko, Applications of Topological Time Series Analysis to Hurricanes and Dynamical Systems

• Wed Mar 1, Myfanwy Evans, Enumerating triply-periodic tangles

• Wed Mar 8, AA"Tea"RN tea time

• Wed Mar 15, Dejan Govc, Fundamental groups of small simplicial complexes

• Wed Mar 29, Antonio Rieser, Algebraic Topology for Graphs and Mesoscopic Spaces

• Wed Apr 12, Saugata Basu, Two methods of efficiently approximating semi-algebraic sets up to homotopy by simplicial complexes

• Wed Apr 19, Lorin Crawford, Probabilistic Generative Frameworks for Sampling 3D Complex Shapes and Images 

• Wed Apr 26, Guowei Wei, Persistent Topological Laplacians

• Wed May 3, Rhoslyn Coles, Geometric optimisation of 3–balls centred on curves

• Wed May 10, Matteo Pegoraro, Data Analysis with Merge Trees

• Wed May 17, Michael Bronstein, Physics-inspired learning on graphs

• Wed May 24, Julien Tierny, Principal Geodesic Analysis of Merge Trees (and Persistence Diagrams)

• Wed May 31, Paul Biran, Triangulated Persistence Categories and their K-Theory

Fall 2022

• Wed Sep 7, AA"Tea"RN tea time

• Wed Sep 14, Frédéric Chazal interviewed by Steve Oudot

• Wed Sep 21, Yohai Reani, Persistent Cycle Registration and Topological Bootstrap

• Wed Sep 28, Gregory Henselman-Petrusek, Saecular persistence

• Wed Oct 5,  Lida Kanari, A topological understanding of neuronal morphologies; from single cells to detailed neuronal networks

• Wed Oct 12, Hitesh Gakhar, Stability of Eilenberg-MacLane coordinates

• Wed Oct 19, Miguel O'Malley, Alpha Magnitude

• Wed Oct 26, Konstantin Mischaikow interviewed by Tomas Gedeon

• Wed Nov 2, Heather Harrington, Shape of data in biology: Extending the PH pipeline

• Wed Nov 9, Tananun Songdechakraiwut, Fast Topological Clustering with Wasserstein Distance

• Wed Nov 16, Ana Romero, Effective computation of spectral systems and their relation with multi-parameter persistence

• Wed Nov 30, AA"Tea"RN tea time

• Wed Dec 7, Yusu Wang interviewed by Tamal Dey

• Wed Dec 14, Anne Marie Svane, Analyzing point processes using topological data analysis

Summer 2022

• Wed June 1, Samantha Moore, The Generalized Persistence Diagram Encodes the Bigraded Betti Numbers

• Wed June 15, Jose Perea, Vector bundles for data alignment and dimensionality reduction

• Wed June 29, Yuichi Ike, RipsNet: fast and robust estimation of persistent homology for point clouds 

• Wed July 6, Tamal Dey, New Results in Computing Zigzag and Multiparameter Persistence

• Wed July 13, Renata Turkeš, On the effectiveness of persistent homology

• Wed July 20, Ximena Fernández, Morse theory for group presentations and the persistent fundamental group

• Wed July 27, Sarah Percival, Computation of Reeb Graphs in a Semi-Algebraic Setting

• Wed Aug 10, Siddharth Pritam, Swap, Shift and Trim to Edge Collapse a Flag Filtration

• Wed Aug 17, Hubert Wagner, Topological data analysis in non-Euclidean spaces

• Wed Aug 24, Sandra Di Rocco, Algebraic Geometry of Data

• Wed Aug 31, James Stasheff, Homotopy coherence - theme and variations

Spring 2022

• Wed Jan 19, Yuliy Baryshnikov, Linear Obstacles in Linear Systems and Ways to Avoid Them

• Wed Jan 26, Sohail Iqbal, Classification of COVID-19 via Homology of CT-scans

• Wed Feb 2, Julien Tierny, Wasserstein Distances, Geodesics and Barycenters of Merge Trees

• Wed Feb 9, Shmuel Weinberger interviewed by Katharine Turner

• Wed Feb 16, AA"Tea"RN tea time

• Wed Feb 23, Michael Lesnick, Stability of 2-Parameter Persistent Homology

• Wed Mar 2, Dhananjay Bhaskar, Data-Driven Modeling & TDA of Self-Organized Multicellular Architectures

• Wed Mar 9, Robert Ghrist interviewed by Radmila Sazdanovic

• Wed Mar 16, Rocio González-Diaz, Introducing persistent entropy, a tool for topologically summarizing data. Properties and applications

• Wed Mar 23, AA"Tea"RN tea time

• Wed Mar 30, Ippei Obayashi, Stable volumes for persistent homology

• Wed Apr 6, Ulrich Bauer, Persistence in functional topology

• Wed Apr 13, Chad Giusti, An approach to assigning semantics to persistent homology classes

• Wed Apr 20, Hana Dal Poz Kouřimská, Curvature variation based adaptive sampling for Delaunay triangulations of Riemannian manifolds

• Wed Apr 27, Adélie Garin, From Trees to Barcodes and Back Again: Combinatorial and Geometric Perspectives

• Wed May 4, AA"Tea"RN tea time

• Wed May 18, Justin Curry, Exemplars of Sheaf Theory in TDA

• Wed May 25, Yu-Min Chung, A multi-parameter persistence framework for mathematical morphology

Fall 2021

• Wed Sep 1, Petar Pavešić, Category weight estimates of minimal triangulations

• Wed Sep 8, Steve Oudot, Signed barcodes for multi-parameter persistence via rank decompositions

• Wed Sep 15, Martina Scolamiero, Extracting persistence features with hierarchical stabilisation

• Wed Sep 22, Teresa Heiss, Geometry and Topology of Periodic Point Sets, for example Crystals

• Wed Sep 29, Lisbeth Fajstrup interviewed by Martin Raussen

• Wed Oct 6, Stéphane Béreux, Identifying and Assessing Damage in Infrastructure Using Topological Data Analysis and Machine Learning

• Wed Oct 13, Moo K Chung, Topological Learning and Its Application to Multimodal Brain Network Integration

• Wed Oct 20, Robert Adler interviewed by Omer Bobrowski

• Wed Oct 27, Yuzhou Chen, Topological Relational Learning on Graphs

• Wed Nov 3, Jasna Urbančič, Optimizing Embedding using Persistence

• Wed Nov 10, Gunnar Carlsson, Topological Deep Learning

• Wed Nov 17, Bastian Rieck, Topological Graph Neural Networks

• Wed Dec 1, Vasileios Maroulas, Statistics, Topology, and Data Analysis

• Wed Dec 8, Michael Kerber, Multi-Parameter Persistent Homology is Practical

• Wed Dec 15, AA"Tea"RN tea time

Summer 2021

• Wed June 2, AA"Tea"RN tea time

• 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 Aug 4, Francesco Vaccarino, Parallel decomposition of persistence modules through interval bases

• Wed Aug 11, Kathryn Hess interviewed by Peter Bubenik

• Wed Aug 18, AA"Tea"RN tea time

• Wed Aug 25, Elchanan Solomon, Dimensionality Reduction via Distributed Persistence: DIPOLE

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

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