As I arrive in Washington DC for the Joint Mathematics Meetings, starting tomorrow, it’s time to write another short guide to what I’ve spotted in the program this year. As several earlier years, a LOT of the relevant sessions have been scheduled in parallel, especially on the last day of the conference.
If you are interested in TDA and adjacent topics, you may be interested in:
- AMS Special Session on TDA for Non-linear dynamics
Sunday 2026-01-04, 08:00 – 12:00, 13:00 – 17:00 in Room 209C- Justin Curry: Stratification Theory for Reinforcement Learning
- Andrei Zagvozdkin et al: Topological Deep Learning and Physics-informed Neural Networks for PDEs on Riemannian Manifolds
- Michael Robinson: The appearance of stratified spaces in synthetic aperture sonar collections
- Sara Tymochko et al: Evaluating Resource Coverage using TDA
- Vitaliy Kurlin: Data Science reveals the stochastic nature of proteins and AlphaFold predictions
- Maxwell Chumley et al: Dynamical System Parameter Path Optimization using Persistent Homology
- Sunia Tanweer et al: Phenomenological Bifurcations in Compartmental Stochastic SIS and SIR Models for Epidemiology
- Himanshu Yadav: Topological Structure of the Cyclonic-Anticyclonic Interactions
- Soheyl Anbouhi: Improving Topological Detection of Weather Regimes in Climate Dynamical Systems
- Jacob Bali Sriraman: Topological Time Series Analysis of the Polar Vortex
- Tung Lam: Delaunay Filtrations for Time-Varying Data
- James George Moukheiber et al: TDA for Geographical Information Science: Slum Detection and Satellite Imagery
- Steve Huntsman: Motivating coherence-driven inference via sheaves
Sunday 2026-01-04, 08:00 – 08:30 in Room 102A in the AMS Special Session on Mathematics for AI Robustness, Explainability, and Safety - Radmila Sazdanovic: The Art of Knot Data
Sunday 2026-01-04, 11:00 – 11:30 in Room 143A in the SIGMAA Special Session on Mathematics and the Arts - Radmila Sazdanovic: TDA of Classical and Quantum Invariants
Sunday 2026-01-04, 13:30 – 14:00 in Room 140B in the AMS Special Session on Knots, Links, Geometry, and related 3-manifolds
- Paul Schrader: Dilating Mission Relevant Impacts of Autonomous Data Driven Topologically-Informed Analytics and Fusion
Monday 2026-01-05, 10:00 – 11:00 in Room 204A in the AMS Special Session on Data Fusion: Methods, Modeling, and Emerging Applications - Abigail Hickok: Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites
Monday 2026-01-05, 13:30 – 14:00 in Room 141 in the AMS Special Session on The Mathematics of Elections and Redistricting
- SIAM Minisymposium on Geometric and Topological Data Analysis with Applications
Tuesday 2026-01-06, 08:30 – 12:00 in Room 152B
Wednesday 2026-01-07, 13:00 – 17:00 in Room 152A- Drumea Bianca et al: Investigating the Structure of LK-99 using TDA: A Challenge to Superconductivity Claims
- Benjamin Daniel Jones et al: Efficient Computation of Persistent Topological Laplacians
- Benjamin Schweinhart: Representations of Micrograph Geometry for Machine Learning
- Melinda Kleczynski et al: TDA and Multidimensional Scaling for Mass Spectral Libraries
- Tyrus Berry: Persistent and Coarse Geometry for Comparing Point Clouds
- Vitaliy Kurlin: Extending persistence to sttronger and faster invariatns of clouds under isometry
- Graham Johnson et al: Topological Deep Learning for Energy Systems: from TDA Features to Higher-Order Relations
- Jeanie Schreiber: Topological Shape and Data Analysis for Materials EBSD Imaging
- Jacob Dylan Rezac et al: Inversion-free Segmentation for Linear Inverse Problems with Shape Priors
- James Derek Tucker: Elastic Functional Bayesian Model Calibration of Curves in R^N
- Sebastian Kurtek: Assessment of Spatial Dependence in Shapes of Planar Curves
- Nicholas Charon et al: SVarM: regression and classification in the space of varifolds
- AMS Special Session on Open Problems in Geometric Data Science
Wednesday 2026-01-07, 08:00 – 12:00, 13:00 – 17:00 in Room 209C- Simon Billinge: Continuous representations of crystals and why that is important for materials and mankind
- Vitaliy Kurlin: The fundamental questions of Geometric Data Science
- Harm Derksen: Low distortion Euclidean embeddings for datawith group symmetries
- Gregor Kemper: Distance geometry, algebra and drones
- Kathlen Kohn: Viewing Graph Solvability in Computer Vision through the lens of Rigidity Theory and Algebraic Geometry
- Frank Sottile: Algebraic geometry of periodic graphs operators
- Erica Flapan: Topological complexity in protein structures
- Madeleine Clore et al: Mechanistic interpretation of spurious AlphaFold2 predictions
- Maria Kourkina Cameron: Learning coarse-grained models for molecules and atomic clusters
- Peter Bubenik et al: Topological Featuer Selection for Time Series Data
- Sushovan Majhi et al: Vietoris-Rips Shadow for Euclidean Graph Reconstruction
- Mateo Diaz et al: Any-dimensional equivariant learning
- Zawad Chowdhury et al: Graphical Designs and Combinatorial Structures
- AMS Special Session on Topological and Geometric Shape Reconstruction
Wednesday 2026-01-07, 09:00 – 12:00, 13:00 – 16:30 in Room 151B- Kevin Knudson et al: Discrete Morse Theory for open complexes
- Ziga Virk: Contractibility of the Rips complexes of Integer lattices via local domination
- Peter Bubenik et al: Cycle representatives for persistent homology – localization, statistics and visualization
- Facundo Memoli et al: The G-Gromov-Hausdorff Distance and Equivariant Topology
- Henry Adams: Bridging applied and quantitative topology
- Michael Robinson: Using multi-jet transversality to reconstruct LLM token subspaces
- Conglong Xu: Stochastic Gradient Descents on Riemannian Manifolds with Applications on Machine Learning Problems
- Luiz Hartmann et al: Analyzing Covariance on Graph-Structured Data via Generalized PCA
- Rafal Komendarczyk et al: From Samples to Graphs: Homeomorphic Geometric Reconstruction with Intrinsic Rips