## Programs & Events

##### Women in Mathematical Computational Biology

Jan 13 - 17, 2025

Coming Soon!

##### Patterns, Dynamics, and Data in Complex Systems

Jan 21 - 24, 2025

Coming Soon!

##### Organizing Committee

- Paul Carter
- Veronica Ciocanel
- Stephanie Dodson
- Alexandria Volkening

##### Geometry of Materials, Packings and Rigid Frameworks

Jan 29 - May 2, 2025

Given an incidence structure, one may model a variety of geometric problems. This Semester Program will revolve around two fundamental examples and their applications to modern challenges in the study, analysis, and design of materials. (1) Packings and patterns of circles where the underlying combinatorics are mixed with advanced geometric concepts and strong links are made to discrete differential geometry. (2) The rigidity and flexibility of bar-joint structures where real algebraic geometry is intertwined with sparse graph theory and matroidal techniques. A prime objective of the program is to advance the applicability of these topics to fundamental applications, most notably in statistical physics and materials science.

The program will integrate diverse fields of discrete mathematics, geometry, theoretical computer science, mathematical biology, and statistical and soft matter physics. Various workshops will be designed to attract both theoretical and applied practitioners and... (more)

##### Organizing Committee

- Alexander Bobenko
- John Bowers
- Philip Bowers
- Robert Connelly
- Steven Gortler
- Miranda Holmes-Cerfon
- Sabetta Matsumoto
- Anthony Nixon
- Meera Sitharam

##### Circle packings, minimal surfaces, and discrete differential geometry

Feb 10 - 14, 2025

Coming Soon!

##### Organizing Committee

- Alexander Bobenko
- Philip Bowers
- John Bowers
- Steven Gortler
- Meera Sitharam

##### Matroids, rigidity, and algebraic statistics

Mar 17 - 21, 2025

Coming Soon!

##### Organizing Committee

- Robert Connelly
- Elizabeth Gross
- Tibor Jordán
- Anthony Nixon
- Shin-ichi Tanigawa

##### Geometry of Materials

Apr 7 - 11, 2025

Coming Soon!

##### Organizing Committee

- Miranda Holmes-Cerfon
- Sabetta Matsumoto
- Vanessa Robins
- Ileana Streinu
- Louis Theran

##### Scientific Machine Learning for Gravitational Wave Astronomy

Jun 2 - 6, 2025

The aim of this workshop is to bring together participants from computational mathematics and gravitational wave astronomy to tackle computational challenges in leveraging data-driven methods in key areas of gravitational wave data analysis in order to maximize the science output of the ongoing and upcoming observations. The areas of focus will be: (i) noise classification and detection, (ii) waveform modeling and uncertainty quantification, and (iii) source parameter and astrophysical population Bayesian inference.

The participants will develop and apply new mathematical and computational techniques including: (i) neural network classifiers for distinguishing signals from instrumental noise, (ii) generative machine learning models for simulating realizations of non-Gaussian and non-stationary stochastic processes, (iii) surrogate models including uncertainty quantification, (iv) stochastic sampling, neural posterior estimation leveraging deep neural networks with normalizing flows or... (more)

##### Organizing Committee

- Sarah Caudill
- Katerina Chatziioannou
- Maya Fishbach
- Brendan Keith
- Jess McIver
- Michael Puerrer
- Joshua Speagle
- Vijay Varma

##### Algebraic Points on Curves

Jun 23 - 27, 2025

In recent years, there has been an explosion of activity surrounding algebraic points on curves, from many different perspectives. These include the study of measures of irrationality, isolated and parametrized points, computational methods to determine algebraic points, and the arithmetic statistics of algebraic points. In this workshop, we aim to bring together researchers from these diverse perspectives, with the particular goal of developing bridges between them. The workshop will include overview talks on the various perspectives, research talks, an open problem session, and structured time for collaboration.

##### Organizing Committee

- Abbey Bourdon
- Robert Lemke Oliver
- Ari Shnidman
- Isabel Vogt
- David Zureick-Brown

##### LuCaNT

Jul 7 - 11, 2025

Coming Soon!

##### Organizing Committee

- John Jones
- Jennifer Paulhus
- Andrew Sutherland
- John Voight

##### Innovative and Efficient Strategies for Stiff Differential Equations

Jul 21 - 25, 2025

Coming Soon!

##### Organizing Committee

- Sigal Gottlieb
- Zachary J Grant
- Jingwei Hu
- David Ketcheson

##### Illustrating Mathematics: Reunion/Expansion

Aug 11 - 15, 2025

Illustration reveals the hidden structures of mathematics, broadening access to its inherent beauty and pushing the boundaries of research. Here two disciplines are interwoven: on the one hand, the art and craft of presenting ideas and on the other hand, the creativity and scholarship of creating mathematics. This program facilitates research and collaboration on these topics, both between and within these groups, and to promote professional support and recognition both for illustration and for building the infrastructure needed for its creation.

We invite both returning and new members to the Illustrating Mathematics community to this workshop, which will bring together mathematicians, and practitioners from the arts. We seek to expand our community to include a more diverse group of faculty, including those from non-R1 institutions and who identify as members of underrepresented and minoritized groups.

##### Organizing Committee

- David Bachman
- Audrey Nasar
- Nancy Scherich
- Saul Schleimer
- Martin Skrodzki
- Laura Taalman

##### Categorification and Computation in Algebraic Combinatorics

Sep 3 - Dec 5, 2025

â€œAlgebraic combinatoricsâ€ can be thought of as â€œcounting thingsâ€ and â€œrepresentation theoryâ€ can be thought of as the â€œstudy of symmetryâ€. The notions of â€œcountingâ€ and â€œsymmetryâ€ are all-pervasive in the natural sciences â€” thus the pure mathematical questions we consider often have ramifications across physics, quantum theory, chemistry, cryptography. . .

The past decade has been one of the most exciting and fruitful times in the history of combinatorics and representation theory. One of the overarching themes in this story is the search for richer structures which secretly underpin the classical problems in the field â€” these might manifest themselves as algebraic or geometric structures, or even as diagrammatic categories.

The discovery of these richer structures has led to the recent rise and fall of some of the most famous conjectures in the history of combinatorics and representation theory: the Macdonald constant term conjectures, the shuffle... (more)

##### Organizing Committee

- Chris Bowman
- Nicolle Gonzalez
- Kyu-Hwan Lee
- nicolas Libedinsky
- Rosa Orellana
- Greta Panova
- Anne Schilling
- Jamie Vicary
- Adam Wagner
- Lauren Williams