## Programs & Events

##### 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... (more)

##### Organizing Committee

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

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

Jul 21 - 25, 2025

A Â universal source of difficulty in the numerical solution of differential equations is stiffness,Â which may stem from multi-scale dynamics and means that straightforward explicit discretizations are very inefficient. Consequently, choosing how to deal with stiffness (usually through the selection of the time discretization method) is often the most impactful decision made while solving these problems; it can be the difference between complete intractability and rapid solution.

The most prominent and well-known effect of stiffness is its impact on numerical stability. Lesser-known but often equally important is the effect of order reduction, in which the convergence of the numerical solution is dramatically slowed compared to what classical numerical analysis would predict. Both of these issues can be dealt with through the use of implicit time discretizations. However, for large-scale applications (such as those coming from multi-dimensional PDE applications), such... (more)

##### 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

##### 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