# Research

## Published papers and preprints

The high line: Exact risk and learning rate curves of stochastic adaptive learning rate algorithms (with I Seroussi, A Mackenzie, B Malaxechebarria, E Paquette, C Paquette), https://arxiv.org/abs/2405.19585, 2024.

Free energy of a bipartite spherical SK model at critical temperature (with H Le), Annales Henri Poincare, 2024.

Hitting the high-dimensional notes: an ODE for SGD learning dynanmics on GLMs and multi-index models (with C Paquette, E Paquette, I Seroussi), Information & Inference Journal of IMA (to appear), 2024.

High-dimensional limit of one-pass SGD on least squares (with E Paquette), Electronic Communications in Probability, 29, 2024.

Edge CLT for the log determinant of Laguerre ensembles (with H Le), Annales de l'Institut Henri Poincare (to appear), 2023.

Spherical spin glass model with external field (with J Baik, P Le Doussal, H Wu), Journal of Statistical Physics, 183(2), 2021.

Overlap of a spherical spin glass model with microscopic external field, Electronic Journal of Probability, 26, 2021.

## Invited Talks

Using RMT to understand phase transitions in spherical spin glass

Random Matrices & Scaling Limits, Institut Mittag-Leffler, 2024

High-dimensional dynamics of SGD for generalized linear models

IDEAL Workshop: Statistical Inference / Learning Dynamics, Northwestern University, 2024

Bipartite spherical spin glass at critical temperature

Integrable Probability, Classical and Quantum Integrability, online seminar of CNRS, 2024

Bipartite spherical spin glass at critical temperature

Probability Seminar, Harvard University, 2024

Bipartite spherical spin glass at critical temperature

Probability Seminar, Fields Institute, 2024

High-dimensional limit of streaming SGD for GLMs

Mathematics of Machine Learning, CMS Winter Meeting, 2023

Bipartite spherical spin glass at critical temperature

Probability Seminar, University of Minnesota and Lehigh, 2023

Bipartite spherical spin glass at critical temperature

Probability Seminar, University of Waterloo, 2023

High-dimensional limit of streaming SGD for GLMs

Applied Math Seminar, Centre de Recherches Mathematiques, 2023

Phase transitions in spherical spin glasses

AMS Eastern Sectional, University of Buffalo, 2023

Phase transitions in spherical spin glasses

Great Lakes Mathematical Physics, Oberlin College, 2023

Edge CLT for log determinant of Laguerre beta ensembles

Summer school for random matrix theory and applications, Ohio State University, 2023

Phase transitions in spherical spin glasses

Probability Seminar, Queen's University, 2023

Overlaps of a Spherical Spin Glass Model with External Field

AWM Research Symposium, University of Minnesota, 2022

Overlaps of a Spherical Spin Glass Model with External Field

Introductory and Connections Workshop, MSRI, 2021

Free Energy & Overlaps of Spherical Spin Glass with External Field

AWM Graduate Student Poster Session, JMM 2021

Overlaps of a Spherical Spin Glass Model with External Field

Bernoulli Society & IMS One World Symposium, 2020

Random Matrices

Kalamazoo College, Math Colloquium, 2020

Using Random Matrix Theory to Analyze Spin Glasses

NY Graduate Math Conference, Syracuse University, 2020

Small Norm Matrices and Tensors

Nebraska Conference for Undergraduate Women in Math, 2010

Matrices and Tensors of Small Norm

Ohio State University, Young Mathematicians Conference, 2009

## Seminar Talks at home institution

Free energy fluctuations of spherical spin glasses near the critical temperature threshold

Statistics seminar, McGill U., 2024

Detection thresholds in spiked matrix models

Algorithmic spin glass learning seminar, McGill University, 2024

High-dimensional limit of streaming SGD for GLMs

Optimization and ML seminar, McGill U., 2023

Spin Glasses and Random Matrix Theory

Probability Research Retreat, McGill U., 2022

Tridiagonal Random Matrices

Student Analysis Seminar, U. Michigan, 2021

Spin Glasses Across Disciplines

SIAM Mini-Symposium, U. Michigan, 2021

Spherical Spin Glass Model with External Field

Integrable Systems Seminar, U. Michigan, 2020

Rademacher Complexity and Spin Glass

Machine Learning Graduate Seminar, U. Michigan, 2020

Using Random Matrix Theory to Analyze Spin Glasses

Student Analysis Seminar, U. Michigan, 2020

MMS Property of Graphs

Budapest Semesters in Math, Research Colloquium, 2015

Munshi's Theorem: Zero Places and Infinite Spaces

Carleton College, Math & Stat Comps Gala, 2011

## Workshops and Summer Schools

Random Matrices and Scaling Limits, Institut Mittag-Leffler, 2024

Frontiers of Statistical Mechanics & Theoretical Computer Science, Banff International Research Station, 2024

Summer School on Random Matrices & Applications, Ohio State University, 2023

Random Matrix Theory Summer School, University of Michigan, 2022

Universality & Integrability in Random Matrix Theory, MSRI (hybrid), 2021

Open Online Probability School, virtual, 2020

Randomness in Physics & Mathematics, Bielefeld University, 2019

Integrable Probability Summer School, University of Virginia, 2019

Geometric Analysis for Women & Math, Institute for Advanced Study, 2019

Random Walks in Random Environments, Texas A&M University, 2018

Probability Summer Analysis Program, Northwestern University, 2018

Random Matrix Theory Summer School, University of Michigan, 2018