Programs & Events
Patterns, Dynamics, and Data in Complex Systems
Jan 21 - 24, 2025
The study of pattern formation in biological, ecological, physical, and social systems involves a rich interplay between theory, modeling, and computation. Analytical approaches using the theory of dynamical systems and partial differential equations have made powerful contributions to our understanding of nonlinear waves and patterns, yet many open questions remain in the study of higher-dimensional patterns and complex spatiotemporal behaviors. These analytical tools go hand in hand with computational methods, including numerical continuation and agent-based simulations. Together these approaches also complement empirical techniques, particularly in studies of biological pattern formation, leading to experimentally-testable predictions and quantitative summaries of data.
In recent years, new opportunities have emerged for pattern detection and identification in applications, using data-scientific approaches. These applications include spiral waves in cardiac dynamics, vegetation... (more)
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
LMFDB, Computation, and Number Theory (LuCaNT) 2025
Jul 7 - 11, 2025
This will be a one-week conference broadly focused on the topics of the LMFDB (http://lmfdb.org), mathematical databases, computation, and number theory. The conference will include invited talks, presentations by authors of papers submitted to the conference and selected by the scientific committee following peer-review, as well as time for research and collaboration. We plan to publish a proceedings volume that will include all of the accepted papers.
The field of mathematical databases has emerged as an important area of research at the intersection of computer science and mathematics. It seeks to address questions that arise when organizing, storing, and providing access to mathematical knowledge in a structured manner. These databases are intended to be easily searchable and navigable, providing researchers, educators, and students with a convenient way to access mathematical content. There are many challenges in developing and maintaining mathematical databases, ranging from
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
âAlgebraic combinatoricsâ can be thought of as âcounting thingsâ and ârepresentation theoryâ can be thought of as the âstudy of symmetryâ. The notions of âcountingâ and âsymmetryâ 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
Stochastic and Randomized Algorithms in Scientific Computing: Foundations and Applications
Jan 20 - Apr 24, 2026
In many scientific fields, advances in data collection and numerical simulation have resulted in large amounts of data for processing; however, relevant and efficient computational tools appropriate to analyze the data for further prediction and decision-making are still in their infancy. To tackle these challenges, the scientific research community has developed and used probabilistic tools in at least two different ways: first, stochastic methods to model and quantify these uncertainties in applications where there is underlying uncertainty; second, in applications that may be inherently deterministic but randomness is used as an algorithmic tool to drastically reduce computational costs while retaining the high accuracy of classic approaches.
Stochastic and randomized algorithms have already made a tremendous impact in areas such as numerical linear algebra (where matrix sketching and randomized approaches are used for efficient matrix approximations), Bayesian inverse problems... (more)
Organizing Committee
- Harbir Antil
- Julianne Chung
- Petros Drineas
- Youssef Marzouk
- Agnieszka Miedlar
- Arvind Krishna Saibaba