Topology, Geometry, and Data Analysis Seminar

Times: Tuesdays 4–5pm.

Location: CH 240 or Zoom.

Contact: The seminar is currently organized by Matthew Kahle, Facundo Mémoli, Ranthony Edmonds, and Alex McCleary. Feel free to write to us if you have suggestions for speakers.

Spring 2023 Schedule

Jan. 17 Shu Kanazawa
(Kyoto University)		 Large deviation principle for persistence diagrams of random cubical filtrations
Jan. 31 Matthew Kahle
(OSU)		 Configuration spaces of hard squares
Feb. 7 Sarah Percival
(Michigan State University)		 Adaptive Covers for Ball Mapper
Feb. 14 Francois Xavier-Vialard
(Universite Gustave Eiffel)		 Unbalanced Gromov-Wasserstein and Existence of Monge maps for Gromov-Wasserstein
Mar. 7 Thomas Weighill
(UNC Greensboro)		 The Geometry of Gerrymandering

Fall 2022 Schedule

Sep. 6 Alex McDonald
(OSU)		 The constrained bipartite distinct distance problem
Sep. 13 Baris Coskunuzer
(UT Dallas)		 Geometric Approaches to Persistent Homology
Sep. 20 Luis Scoccola
(Northeastern)		 Bottleneck stable invariants of multiparameter persistence modules via relative homological algebra
Sep. 27 Fabian Roll
(TU Munich)		 Gromov Hyperbolicity, Geodesic Defect, and Apparent Pairs in Vietoris-Rips Filtrations
Oct. 4 Lara Kassab
(UCLA)		 Nonnegative Low-Dimensional Representations in Learning Tasks
Oct. 11 Gregory Henselman-Petrusek
(PNNL)		 Saecular Persistence
Nov. 1 Samir Chowdhury
(Bear Flag Robotics)		 Hypergraph Co-Optimal Transport
Nov. 15 Hans Reiss
(UPenn)		 Towards Geometry of Lattice-Valued Sheaves

Spring 2022 Schedule

Feb. 1 Sunhyuk Lim
(Max Planck Institute)		 Classical Multidimensional Scaling on Metric Measure Spaces
Feb. 22 Aziz Burak Gülen
(OSU)		 Diagrams of Persistence Modules over Finite Posets
Mar. 22 Tadas Temcinas
(Oxford)		 A Multivariate CLT for Dissociated Sums with Applications to Random Complexes
Mar. 29 Anibal Medina-Mardones

(Max Planck Institute)

 Effective Constructions in Algebraic Topology
Apr. 5 Celia Hacker

(EPFL)

 Signal processing on cell complexes with discrete Morse theory
Apr. 12 Veronica Ciocanel

(Duke)

 Topological data analysis for biological ring channel dynamics
Apr. 19 John Bush

(UF)

 Vietoris-Rips complexes, projective codes, and zeros of odd maps

Fall 2021 Schedule

Sep. 28 Alex McCleary
(OSU)		 The Functoriality of Persistent Homology
Oct. 5 Qingsong Wang
(OSU)		 The Persistent Topology of Optimal Transport Based Metric Thickenings
Oct. 12 Zhengchao Wan
(OSU)		 The Gromov-Hausdorff Distance Between Ultrametric Spaces
Nov. 9 Mario Gómez Flores
(OSU)		 Curvature Sets Over Persistence Diagrams

Spring 2021 Schedule

Jan. 26 Jose Perea
(Michigan State)		 Learning functions on the space of persistence diagrams
Feb. 9 Candice Price
(Smith)		 The Tangle Method: A Mathematical Model for Protein DNA Interactions
Feb. 16 Sunhyuk Lim
(OSU)		 Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius
Mar. 2 Fedya Manin
(UCSB)		 Homology of configuration spaces of disks in a strip
Mar. 9 Crichton Ogle
(OSU)		 On the structure of modules indexed by small categories
Mar. 16 Michael Robinson
(American)		 The category of relations and its topology
Mar. 23 Wesley Hamilton
(UNC-Chapel Hill)		 Proteins and persistence
Mar. 30 Nicolas Fraiman
(UNC-Chapel Hill)		 Bulk and extremes of the weights of minimal spanning acycles
Apr. 6 Wako Bungula
(UW-La Crosse)		 Classification of Ecological States using Topological Data Analysis
Apr. 13 Katharine Turner
(Australian National University)		 Algebraic Wasserstein distance between persistence modules

Autumn 2020 Schedule

Oct. 13 Vidit Nanda (Oxford) Computational Topology in Intersection Theory
Oct. 20 Lori Ziegelmeier (Macalaster) Capturing Dynamics of Time-Varying Data via Topology
Oct. 27 Paul Duncan (OSU) Plaquette Percolation in the Torus
Nov. 10 Thomas Weighill (Tufts) The (Homological) Persistence of Gerrymandering
Nov. 17 Elizabeth Munch (Michigan State) The Truncated Interleaving Distance for Reeb Graphs
Nov. 24 Ruian Chen (OSU) Categorifying Persistent Homology
Dec. 1 Vin De Silva (Pomona) Thoughts on Teaching Applied Topology

Autumn 2019 Schedule

Sep. 15 Woojin Kim (OSU) Computing Height Persistence and Homology Generalized Persistence Diagrams for Persistence Modules over Posets
Sep. 24 Haibin Hang (FSU) What is a zigzag module with continuous index?
Sep. 26 Daryl de Ford (MIT) Hardness results for sampling connected graph partitions with applications to redistricting
Oct. 1 Hitesh Gakhar (MSU) Quasiperiodicity, sliding window embeddings and the Künneth theorems
Oct. 8 Simon Zhang (OSU) High Performance Computing for Persistent Homology Computation
Nov. 5 Don Sheehy (NCSU) TGDA Mini-Course-Lecture III: Smoothing OperatorOn the Cohomology of Impossible Figures, Revisited
Nov. 12  Crichton Ogle (OSU) The local structure of modules indexed by small categories

[Ogle-TGDA-Talk-Nov-11-19]
Nov. 19  Sanjeevi Krishnan (OSU) Modules indexed by small categories as generalized bundles

Spring 2019 Schedule

Jan. 15 Tamal Dey (OSU) Computing Height Persistence and Homology Generators in R^3 in O(nlogn) Time
Jan. 22 Yune Lee (OSU) The connection between Speech, Language, and Music
Jan. 29 Kritika Singhal (OSU) Sketching and Clustering Metric Measure Spaces
Feb. 5 Amit Patel (Colorado State University) TGDA Mini-Course-Lecture I: Persistence Beyond Vector Spaces
Feb. 6 Amit Patel (Colorado State University) TGDA Mini-Course-Lecture II: Persistent Local System
Feb. 7 Amit Patel (Colorado State University) TGDA Mini-Course-Lecture III: Smoothing Operator
Feb. 12 Osman Berat Okutan (OSU) The distortion of the Reeb quotient Map
Feb. 26 Pablo Camara (University of Pennsylvania) Spectral Simplicial Theory for Feature Selection and Applications to Genomics
Mar. 5 Alex Wagner (University of Florida) The Generic Nature of Morse Functions
Mar. 20 Kathryn Hess (École Polytechnique Fédérale de Lausanne, Switzerland) High-throughput topological screening of nanoporous materials
Mar. 26 Miranda Holmes-Cerfon (New York University, Courant Institute) Are colloids geometrically frustrated?
Apr. 2 Katherine Ritchey (OSU) Configuration Spaces of Hard Disks in a Torus
Apr. 9 Hanbaek Lyu (UCLA) Stable network observables via dynamic embedding of motifs

Autumn 2018 Schedule

Sep. 11 Gugan Thoppe (Duke University) Betti Numbers of Gaussian Excursions in the Sparse Regime
Sep. 18 Anastasios Stefanou (OSU) Interleavings on Phylogenetics Trees
Sep. 25 Osman Okutan (OSU) Metric Graph Approximations of Geodesic Spaces
Oct. 9 Justin Solomon (MIT) Optimal Transport on Surfaces, Graphs, and Point Clouds
Oct. 16 Erika Roldan (OSU) Evolution of the homology and related geometric properties of the Eden Growth Model
Oct. 30 Ryan Slechta (OSU, CSE) Filtration Simplification for Persistent Homology via Edge Contraction
Nov. 6 Minghao Tian (OSU, CSE) Local cliques in ER-perturbed random geometric graphs
Nov. 13 Samir Chowdhury (OSU) Persistent Path Homology of Directed Networks
Nov. 27 David Melamed (OSU) The Structure of Human Social Networks Promotes Prosocial Behaviors
Dec. 4 Dingkang Wang (OSU, CSE) An Improved Cost Function for Hierarchical Cluster Trees

Spring 2018 Schedule

Jan. 16 Eric Goubault (Ecole Polytechnique,  France) Directed topological complexity
Jan. 17 Pawel Dlotko (Swansea University) Applied and computational topology – from theory though algorithms to solutions of real problems
Jan. 30 Rob Littleton (CoverMyMeds) Optimization Considerations for Gradient Boosted Classification
Feb. 27 Gunnar Carlsson (Stanford University) Topology and Exploratory Data Analysis
Mar. 20 Radmila Sazdanovic (NCSU) Chromatic-type homology theories
Apr. 3 Benjamin Schweinhart (OSU) Persistent Homology and the Upper Box Dimension
Apr. 10 Andrew Newman (OSU) Torsion in homology of random complexes
Apr. 24 Dan Burghelea (OSU) Persistence for topological closed one form
May 1  Saugata Basu (Purdue University) On the Reeb spaces of definable maps.
May 3 Firas Khasawneh (Michigan State University) Topological Data Analysis of Time Series
May 30 Magnus Botnan (Technische Universität München) The Complexity of Multi-parameter Persistent Homology

Autumn 2017 Schedule

Sep. 25  Soledad Villar (New York University) Special talk: Quadratic assignment on different data models
Sep. 26 Michael Catanzaro (University of Florida)  Stochastic dynamics of cellular cycles
Oct. 24 Fedor Manin (OSU) Geometrically bounded embeddings
Nov. 7 Nicolas Garcia-Trillos (Brown University) Graph-based Bayesian learning: continuum limits and scalability of sampling algorithms.
Nov. 13 Yasu Hiraoka (Tohoku University, Advanced Institute for Materials Research, Sendai Japan) TGDA Mini-Course 1
Nov. 14 Yasu Hiraoka (Tohoku University, Advanced Institute for Materials Research, Sendai Japan) TGDA Mini-Course 2
Nov. 15 Yasu Hiraoka (Tohoku University, Advanced Institute for Materials Research, Sendai Japan) TGDA Mini-Course 3: Machine learnings on persistent homology and its applications to materials science

Spring 2017 Schedule

Jan. 17 Benjamin Schweinhart (OSU) Topological Similarity of Random Cell Complexes, and Curvature Flow on Graphs
Jan. 31 Hannah Alpert (OSU) Can arbitrarily many segments of a fixed length spin independently in the unit disk?
Feb. 7 Henry Adams (Colorado State) Vietoris-Rips complexes of circles, ellipses, and higher-dimensional spheres
Feb. 21 Jeremy Mason (OSU) Dynamics and State Space of Grain Growth Systems
Feb. 28 Zane Smith (OSU) The Gromov-Hausdorff distance between spheres
Mar. 28 Crichton Ogle (OSU) Towards a structure theorem for finite C-modules; a preliminary report
Apr. 3 Patrizio Frosini (University of Bolohna) Lecture 1: The phenomenon of monodromy in 2D persistent homology.
Apr. 4 Patrizio Frosini (University of Bolohna) A theoretical framework for topological data analysis.
Apr. 5 Patrizio Frosini (University of Bolohna) Lecture 2: The coherent matching distance in 2D persistent homology.
Apr. 7 Patrizio Frosini (University of Bolohna) Lecture 3: Group-invariant persistent homology and its use for topological data analysis.
Apr. 11 Rob Littleton (Covermymeds) Optimization Considerations for Gradient Boosted Classification

Autumn 2016 Schedule

Sep. 20 Tom Needham  (OSU) An Introduction to Elastic Shape Analysis of Curves
Oct. 11 Robins Vanessa (Australian National University) Persistent homology analysis of x-ray micro-CT images of porous and granular materials.
Nov. 1 Eric Goubault & Jeremy Dubut Recent Advances in Directed Algebraic Topology
Nov. 15 Sara Kalisnik (Brown University) Tropical Coordinates on the Space of Persistence Barcodes
Nov. 22 Justin Eldridge Graphons, mergeons, and so on!
Dec. 6 Jared Culbertson (Wright Patterson Air Force Base) Data structuring with injective envelopes

Spring 2016 Schedule

Mar. 1 Micah Warren (University of Oregon) Coarse and Approximate Ricci Curvatures for points clouds
Apr. 5 Ben Webb (Brigham Young University) Isospectral Network Reductions
Apr. 12 Chao Chen (CUNY) Computing Critical Points of a High Dimensional Distribution via Graphical Models
Apr. 19, 26  No seminar.
May 3, 10  No seminar.
May 16  TGDA@OSU 2016 Conference
 Jun. 28 David Balduzzi (Victoria University, New Zealand) Deep Online Convex Optimization with Gated Games

Autumn 2015 Schedule

 Sept. 15  Sanjeevi Krishnan (OSU)  The Directed Topology of Sensor Networks
 Oct. 6  Dena Asta (OSU).  Geometric Approaches to Inference: Non-Euclidean Data and Networks.
 Oct. 13  Joe Anderson (OSU).  Heavy-Tailed Independent Component Analysis
 Nov. 10  Krystal Taylor (OSU).  Geometry and fractal sets
 Nov. 17  José Perea (MSU).  Projective coordinates for the analysis of data
 Nov. 16 to Nov. 20  José Perea (MSU).  Mini course on TDA

Spring 2015 Schedule

 Jan. 19–23  No seminar.
 Jan. 29 at CH 240 (Special Date and Venue)  Konstantin Mischaikov (Rutgers). A Database of Dynamic Signatures for Switching.
 Feb. 2–6  No seminar.
 Feb. 9–13  No seminar.
 Feb. 17th  Carina Curto (PSU Topological and algebraic approaches to the analysis of neural data.
 Feb. 24th  Mickaël Buchet. Using the distance to a measure to efficiently handle noise in homology inference.
 Mar. 6th  No seminar.
 Mar. 9, 4–5.30pm — Journalism Bldg 371.  Justin Curry (Duke). Sheaves as a Foundation for Persistence.
Talk I of Mini-course: Sheaves, Cosheaves and Applications.
 Mar. 10, 4–5pm — Journalism Bldg 295.  Justin Curry (Duke). Understanding the Interleaving Distance for Sheaves.
Talk II of Mini-course: Sheaves, Cosheaves and Applications.
 Mar. 13, 3–4pm — MW 154.  Justin Curry (Duke). Open Problems and Higher Categories in Persistence.
Talk III of Mini-course: Sheaves, Cosheaves and Applications.
 Mar. 17th  No seminar
 Mar. 24th  Katherine Turner (UChicago). Reconstruction of compact sets using cone fields.
 Mar. 31st  Dejan Slepcev (CMU)  Variational problems on graphs and their continuum limits.
 Apr. 7th  TBA
 Apr. 14th  Dmitriy Morozov.  Computing Topology in Parallel.
 Apr. 21st  TBA

Fall 2014 Schedule

 Sep. 23  Facundo Mémoli. (OSU)  The classification of clustering methods (part 1).
 Sep. 29  Facundo Mémoli. (OSU)  The classification of clustering methods (part 2).
 Oct. 7  No Seminar
 Oct. 14  Matthew Kahle (OSU)  The length of the longest bar in random persistent homology.
 Oct. 21  Greg Malen (OSU).  Random Graph Homomorphism Complexes.
 Oct. 29  No seminar.
 Nov. 4  Larry Wasserman(CMU).  Statistical Inference for Topology.
 Nov. 11  No seminar.
 Nov. 18  Dan Brake (Notre Dame).  Numerically decomposing algebraic surfaces with an infinite number of singularities.
 Nov. 25  Dan Burghelea(OSU).  Topological novelty in “persistence” for angle valued map. (Jordan cells, and methods for their calculation).
 Dec. 2  Dan Thompson (OSU)  Topological pressure and the detection of structure in long finite sequences.

Spring 2014 Schedule

 Jan. 10  Ulrich Bauer.  The Morse theory of Cech and Delaunay filtrations.
 Jan. 24  Yusu Wang.  Laplace operator from Discrete Samples and Applications.
 Jan. 27  Dan Burghelea.  Level persistence revisited (an alternative perspective and new results).
 Feb. 7  Facundo Mémoli.  Spectral similarity of shapes.
 Feb. 14  David Sivakoff  Deterministic percolation from random initial seeds.
 Feb. 21  Anastasios Sidiropoulos  Topological simplification from random embeddings.
 Feb. 28  Amit Patel.  Persistent Sheaves.
 Mar. 28  Misha Belkin.  The Hidden Convexity of Spectral Clustering.
 Apr. 4  Luis Rademacher.  The More, the Merrier: the Blessing of Dimensionality for Learning Large Gaussian Mixtures.
 Apr. 11  Liz Munch.  A distance measure on Reeb graphs.
 Apr. 18  Vin deSilva.  Lipschitz extensions and higher-order metric certificates.
 Apr. 23  Gunnar Carlsson.  The topology of finite metric spaces. (Talk will be on Wednesday April 23rd, 2–3pm, in CH 240.)
 May 2  Pawel Dlotko.  Discrete Morse Theory and Persistent Homology.

Fall 2013 Schedule

 Sept. 13  Matthew Kahle.  Introduction to Random Topology (part 1).
 Sept. 20  Matthew Kahle.  Introduction to Random Topology (part 2).
 Oct. 04  Tamal Dey  Simplicial complexes and their sparsification for topological data analysis
 Oct. 18  Sanjeevi Krishnan.  Directed Poincare duality.
 Oct. 25  Vidit Nanda.  Discrete Morse theory for computing homology groups.
 Nov. 15  Peter Bubenik.  A central limit theorem for topology.
 Nov. 22  Matthew Wright.  Hadwiger integration and applications.