## Programs & Events

##### Extending Inferences to a New Target Population

Nov 17 - 19, 2023

Estimators of various causal or statistical quantities are usually constructed with a particular target population in mind, that is, the population about which the investigators intend to draw inferences (e.g., decide on the implementation of a treatment strategy or use algorithm-derived predictions). Typically, however, the data used for estimation comes from a population that differs from the target population. How to ensure or evaluate whether the estimates generalize to the target population is a question that has received substantial attention in many scientific disciplines, but with the fields not always connecting with one another on overlapping challenges and solutions. This workshop will bring together experts from different disciplines to present state-of-the-science methods to address generalizability and discuss key challenges, and open problems.

##### Organizing Committee

- Issa Dahabreh
- Jon Steingrimsson
- Elizabeth Stuart

##### Siegel modular forms in LMFDB

Nov 16 - 19, 2023

The study of classical modular forms has emerged as a major topic in computational number theory, and the LMFDB is a convenient way to access data and knowledge on these objects.

This success calls for including higher-dimensional analogues, like Siegel modular forms, in the database as well. This workshop will gather experts on Siegel modular forms, algorithmic methods, and the LMFDB to take stock of where we are, discuss the next achievable goals and set further research directions.

##### Organizing Committee

- Eran Assaf
- Fabien Cléry
- Jean Kieffer

##### Unscripted: A Mathematical Journey through Segregation and Hidden Figures

Nov 1, 2023

In this talk, I will describe my journey from segregation to becoming a research Mathematician of African descent, a rarity in mathematics. This journey is in the backdrop of Virginia’s massive resistance to integration and happened in the same community with the characters in the movie and book "Hidden Figures." My journey continued in becoming the Department Head of a major research mathematics and statistics department and the Dean of a major research university. I will also describe briefly some of my research in fluid mechanics and math biology.

##### Neural Coding and Combinatorics

Oct 30 - Nov 3, 2023

Cracking the neural code is one of the longstanding questions in neuroscience. How does the activity of populations of neurons represent stimuli and perform neural computations? Decades of theoretical and experimental work have provided valuable clues about the principles of neural coding, as well as descriptive understandings of various neural codes. This raises a number of mathematical questions touching on algebra, combinatorics, probability, and geometry. This workshop will explore questions that arise from sensory perception and processing in olfactory, auditory, and visual coding, as well as properties of place field codes and grid cell codes, mechanisms for decoding population activity, and the role of noise and correlations. These questions may be tackled with techniques from information theory, mathematical coding theory, combinatorial commutative algebra, hyperplane arrangements, oriented matroids, convex geometry, statistical mechanics, and more.

##### Organizing Committee

- Zachary Kilpatrick
- Katie Morrison
- Elad Schneidman
- Tatyana Sharpee
- Nora Youngs

##### Topology and Geometry in Neuroscience

Oct 16 - 20, 2023

In the last decade or so, applied topology and algebraic geometry have come into their own as vibrant areas of applied mathematics. At the same time, ideas and tools from topology and geometry have infiltrated theoretical and computational neuroscience. This kind of mathematics has shown itself to be a natural and useful language not only for analyzing neural data sets but also as a means of understanding principles of neural coding and computation. This workshop will bring together leading researchers at the interfaces of topology, geometry, and neuroscience to take stock of recent work and outline future directions. This includes a focus on topological data analysis (persistent homology and related methods), topological analysis of neural networks and their dynamics, topological decoding of neural activity, evolving topology of dynamic networks (e.g., networks that are changing as a result of learning), and analysis of connectome data. Related topics may include the geometry and... (more)

##### Organizing Committee

- Carina Curto
- Robert Ghrist
- Kathryn Hess
- Matilde Marcolli
- Elad Schneidman
- Tatyana Sharpee

##### Asymptotic Limits of Discrete Random Structures

Sep 29 - Oct 1, 2023

Limits of discrete random structures appear in different areas of probability, combinatorics, and machine learning. In statistical mechanics, probabilistic and combinatorial techniques are applied to rigorously describe the scaling limits of such random graphical models, which are closely related to phase transitions. In the vicinity of a phase transition, even a tiny change in some local parameter can result in dramatic changes in the macroscopic properties of the entire system.Â Random discrete structures are also useful mathematical models of large networks, which play a central role in our social and economic lives as the fabric over which we interact, form social connections, conduct economic transactions, transmit information, propagate disease, and much more.

The goal of this workshop is to integrate the algebraic combinatorics, probability, and machine learning paradigms of statistical mechanical models and to bring together researchers in related fields to discuss recent... (more)

##### Organizing Committee

- Zhongyang Li
- Tom Roby
- Mei Yin

##### Mathematical Challenges in Neuronal Network Dynamics

Sep 18 - 22, 2023

One of the fundamental questions in neuroscience is to understand how network connectivity shapes neural activity. Over the last 10 years, tremendous progress has been made in collecting neural activity and connectivity data, but theoretical advances have lagged behind. This workshop will focus on identifying mathematical challenges that arise in studying the dynamics of learning, memory, plasticity, decision-making, sequence generation, and central pattern generator circuits. Mathematical ideas and approaches from dynamical systems, statistical mechanics, linear algebra, graph theory, topology, and traditional areas of applied mathematics are all expected to play an important role.

##### Organizing Committee

- Michael Buice
- Carina Curto
- Brent Doiron
- Zachary Kilpatrick
- Konstantin Mischaikow
- Katie Morrison

##### GirlsGetMath@ICERM: Summer Math Camp for High School Students

Aug 14 - 18, 2023

GirlsGetMath@ICERM is a five-day non-residential mathematics program that is open to high schoolers, regardless of gender, who live in or near greater Rhode Island and who will be entering the 10th or 11th grade in the fall of 2023.

GirlsGetMath occurs in an encouraging environment that builds young students' confidence in math and science.

GirlsGetMath expands participants' understanding and knowledge of mathematics through computations and experimentations.

GirlsGetMath provides expert mathematical training and mentoring.

GirlsGetMath@ICERM encourages 20-25 high schoolers to explore topics such as cryptography, the mathematics of voting, image processing, prime numbers and factoring, and fractals.

The goals of the program are:

- to show young adults that the study of mathematics can be exciting,... (more)

##### Organizing Committee

- Amalia Culiuc
- Katharine Ott
- Ulrica Wilson

##### Research Experiences for Undergraduate Faculty (REUF)

Aug 7 - 11, 2023

This workshop, a formal collaboration between ICERM and the American Institute of Mathematics (AIM), is one in a series of annual REUF workshops. These workshops bring together leading research mathematicians and faculty based at primarily undergraduate institutions to investigate open questions in the mathematical sciences and to equip participants with tools to engage in research with undergraduate students. REUF also serves to jump-start faculty who want to re-engage in research or who are considering a change in their research area.

The workshop will be hosted at ICERM.

The goals of this workshop are to promote undergraduate research and to forge research collaborations among the participating faculty. The majority of the workshop will be spent working on problems in small research groups, reporting on progress, and formulating plans for future work. Note that there are opportunities for participants to continue research activities beyond the workshop week, which will be... (more)

##### Organizing Committee

- Brianna Donaldson
- Leslie Hogben
- Ulrica Wilson

##### Spring 2021 Reunion Event

Jul 31 - Aug 18, 2023

The aim of this reunion meeting is to bring together the participants from the spring 2021 program “Combinatorial Algebraic Geometry” bringing together experts in both pure and applied parts of mathematics as well mathematical programmers, all working at the confluence of discrete mathematics and algebraic geometry, with the aim of creating an environment conducive to interdisciplinary collaboration.

##### Organizing Committee

- Anders Buch
- Melody Chan
- June Huh
- Thomas Lam
- Leonardo Mihalcea
- Sam Payne
- Lauren Williams

##### Acceleration and Extrapolation Methods

Jul 24 - 28, 2023

Solving systems of nonlinear equations and optimization problems are pervasive issues throughout the mathematical sciences with applications in many areas. Acceleration and extrapolation methods have emerged as a key technology to solve these problems efficiently and robustly. The simple underlying idea of these methods is to recombine previous approximations in a sequence to determine the next term or approximation.

This approach has been applied repeatedly and from different angles to numerous problems over the last several decades. Important methods including epsilon algorithms and Anderson acceleration were introduced throughout the early and mid-20th century, and are now common in many applied fields including optimization, machine learning, computational chemistry, materials, and climate sciences. Within the last decade, theoretical advances on convergence, acceleration mechanisms, and the development of unified frameworks to understand these methods have come to light, yet our... (more)

##### Organizing Committee

- Hans De Sterck
- David Gardner
- Agnieszka Miedlar
- Sara Pollock

##### Educating at the Intersection of Data Science and Social Justice

Jul 17 - 21, 2023

This workshop is designed to highlight the intersections between data science and social justice in K-16 education. The goals of this workshop are to 1) explore, and identify avenues to expand, current research on and methods for using data science in education; 2) raise awareness about research on issues of social justice in education and teaching pedagogy; and 3) work with community partners to create, evaluate and disseminate new K-16 curricular materials.

The week will focus on integrating computational social justice research methods, open problems, and best practices across different levels of training. Participants will collaborate on curating professional artifacts, such as: articulating collections of open problems in data science research in social justice; compiling a collection of computational social justice research projects; and developing course modules suitable for use in K-16 education. The results of these collaborations will be shared publicly by the organizers and... (more)

##### Organizing Committee

- Ron Buckmire
- Drew Lewis
- Omayra Ortega
- Katharine Ott
- Matt Salomone