Mathematical Structure in Data: Topology, Geometry, and Applications at Penn State, Sep 30 – Oct 1, 2026

We are pleased to announce that registration is now open for the conference:

Mathematical Structure in Data: Topology, Geometry, and Applications,

which will take place at Penn State in State College, Pennsylvania, on September 30–October 1, 2026.

This conference will bring together researchers developing mathematical methods for identifying and analyzing the geometric and topological structure in data, with topics including manifold learning, topological data analysis, geometric and spectral methods, and related approaches.

Invited speakers include:

• Lisa Fauci (Tulane University)

• Kevin Flores (North Carolina State University)

• Marc Gilles (Princeton University)

• Heather Harrington (MPI-CBG)

• Liz Munch (Michigan State University)

• Tatyana Sharpee (Salk Institute)

• Suzanne Sindi (University of California, Irvine)

• Guowei Wei (University of Georgia)

Participants interested in attending or presenting a poster are encouraged to register through the conference website:

https://sites.google.com/view/msdtga-2026/home

We would be delighted to welcome you to Penn State for this meeting.

Best,

Sara Kališnik

Wenrui Hao

John Harlim

Vladimir Itskov

Stratifying Kiel – Workshop on Stratitfied Topological Spaces, Kiel, Germany, 2026-08-31 – 09-04

Dear all,

This is the second announcement for the workshop

    Stratifying Kiel: Stratified Spaces from Higher Category Theory to Applied Topology

taking place in Kiel, from August 31st to September 4th 2026.

Stratified spaces have proven themselves to be a rich and ubiquitous class of mathematical objects, with appearances in diverse areas of such as classical algebraic and differential topology and geometry, higher category theory and topological data analysis. With this conference, we aim to foster the exchange of recent advances, ideas and methods between and within these various communities, working on and with stratified spaces.

Program:

We are looking to make the event accessible to a wide group of mathematicians. To this end, there will be three minicourses:

    Clark Barwick (University of Edinburgh): Stratified homotopy theory with a focus on constructible sheaves and exodromy
    Uzu Lim (Queen Mary University of London): Machine learning and stratified spaces
    Jon Woolf (University of Liverpool): Simplicial and perverse sheaves, and intersection homology

In addition to these, there will be talks by invited speakers, which will include:

    Fernando Abellán (MPI Bonn)

    David Chataur (Université de Picardie Jules Verne)
    Tobias Dyckerhoff (Universität Hamburg)
    Colin Fourel (University of Strasbourg)
    Jānis Lazovskis (University of Latvia)
    Ezra Miller (Duke University)
    Guglielmo Nocera (IHÉS)
    Markus Pflaum (University of Colorado Boulder)
    Hiro Tanaka (Texas State University)

    Francesca Tombari (KTH – Royal Institute of Technology)
    Marco Volpe (Universität Regensburg)
    Bei Wang (University of Utah)

Potentially, there are a few remaining spots still open for talks. Furthermore, limited funding will be available for travel and accommodation for young participants.

Please register here by July 30th.

Looking forward to seeing some of you in Kiel this Summer,

Lukas Waas (Oxford University), Sylvain Douteau (Université Paris-Cité, IRIF) and Timo Essig (Universität Kiel)

Call for Contributions: TopoInVis Connect 2026 – Topology Meets Artificial Intelligence

📢 Call for Contributions: TopoInVis Connect 2026 – Topology Meets Artificial Intelligence

TopoInVis Connect: Topology Meets Artificial Intelligence is an inclusive forum dedicated to the latest advances in topological methods spanning theory, algorithms, systems, and applications across visualization and artificial intelligence.

The 2026 edition introduces a new bridge-building format for TopoInVis, explicitly fostering connections between the VIS community and researchers in AI, machine learning, computational geometry, and related domains where topology plays a central role.

We invite full-paper submissions exploring the intersection of topology, visualization, and AI, including both foundational research and applied contributions.

Accepted papers will be presented at IEEE VIS 2026 in Boston, MA, and published as regular workshop proceedings.

📅 Important Dates

* Abstract Deadline: June 15, 2026

* Submission Deadline: June 22, 2026

More details: [link]

On behalf of the Organization Committee

Federico Iuricich, Yue Zhang, Mathieu Carrière, Tobias Günther, Raghavendra Sridharamurthy, Wiebke Köpp

Workshop on Spatial Structures at CTA^2

Dear colleagues, 

This is to announce the first meeting of a new series of events at CTA^2 – Center for Topology, Algebra, and their Applications, titled

Workshop on Spatial Structures

21-25 September 2026

at Vrije Universiteit Amsterdam, Netherlands. 

More information and registration: 

https://sites.google.com/vu.nl/cta2spatialstructures

Registration deadline: 1. August

Hope to see you there!

On behalf of the organizersSenja Barthel, Riya Dogra, Stavroula Makri, Hannah Santa Cruz Baur

TDA @ JMM 2026

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

PhD Position on “Topological simplification of single cell data” in Southampton – 2026-01-15

Andrea Guidolin writes:
I would like to advertise a fully funded 3.5-year PhD position at the University of Southampton to work on an interdisciplinary project titled “Topological simplification of single cell data” under the supervision of Professor Ben MacArthur, Professor Ruben Sanchez-Garcia, and myself. The aim of the project is to use topological data analysis to simplify the complex dynamics of single cell data and identify combinations of genes that oscillate in a coordinated manner. The position is co-funded by the Institute for Life Sciences and the School of Mathematical Sciences at the University of Southampton.

We welcome applications from candidates with a background and/or interest in (applied) algebraic topology or topological data analysis and who are keen to contribute to exciting interdisciplinary research at the interface of Mathematics and Biological Sciences.

To apply for the position, please follow the link below and indicate my name and the project title:

https://www.southampton.ac.uk/study/postgraduate-research/apply
Applications will be reviewed on a rolling basis but we strongly encourage interested candidates to apply before 15 January 2026. The successful candidate must be enrolled on or before 1 January 2027.

For any question, you are welcome to email me at ([email protected]).

ICERM Worksop on Foundations of Computational Geometry and Topology

This is an announcement for the ICERM Workshop on Foundations of Computational Geometry and Topology:
https://icerm.brown.edu/program/topical_workshop/tw-26-fcg
The workshop will be May 18-21, 2026, in Providence, Rhode Island, USA.

Applications submitted by December 15 will receive priority. Some funding may be available for travel and lodging. Graduate students who apply must have their advisor submit a statement of support in order to be considered.

Best, the organizers:
Henry Adams, İnanç Baykur, Erin Chambers, Baris Coskunuzer, Jose Perea