From 2018–2024, I mentored 16 undergraduate students over the course of 20 projects in the University of Chicago Mathematics REU. Their projects ranged across dynamics, ergodic theory, geometry, probability, and other areas of mathematics, with many closely connected to my own research in dynamical systems. Several students worked with me over multiple summers, and many have subsequently pursued graduate study in mathematics and related fields.
Shanna Goldman (2024)
Went on to pursue a PhD in Mathematics at Duke University
Classic Examples in Dynamical Systems
Inanna Khansa (2024)
Hyperbolic Dynamical Systems and Structural Stability
Thomas Matheos (2023)
Went on to graduate study in Mathematics at the University of North Texas
Shadowing and Structural Stability of Hyperbolic Sets
Jingxuan (Alina) Zhu (2023)
Went on to pursue a PhD in Mathematics at Duke University
Lyapunov Exponents and the Multiplicative Ergodic Theorem
Dino Zavattini (2023)
Went on to pursue a PhD in Mathematics at Stony Brook University
Structural Stability of Anosov Diffeomorphisms
Guido Trevisan (2023)
Benjamin Cooper (2020–2022)
Went on to pursue a PhD in Mathematics at Northwestern University
The Schwarzian Derivative in One-Dimensional Dynamics (2020)
Structural Stability of Anosov Diffeomorphisms (2021) — subsequently cited in O’Hare (2025)
Critical Orbits and the Filled Julia Set (2022)
Helena Perez-Stark (2021–2022)
Went on to pursue a PhD in Mathematics at the University of Maryland
Hyperbolic Dynamical Systems and the Birkhoff–Smale Theorem (2021)
The Furstenberg–Kesten Theorem for Products of Random Matrices (2022)
Mariya Pershyna (2022)
Went on to pursue a PhD in Applied Mathematics at Harvard University
A Brief Overview of Chaos
Antonio Donald (2020–2021)
Dynamics of Maps of the Circle (2020)
Shifts and Ergodic Theory (2021)
Tianyu Kong (2019)
Went on to earn a PhD in Mathematics at the University of Minnesota in 2026 and is now a William H. Kruskal Instructor at the University of Chicago
Ergodic Theory, Entropy and Application to Statistical Mechanics
Jacob Fiedler (2019)
Went on to earn a PhD in Mathematics at the University of Wisconsin–Madison in 2026 and is now a L.E. Dickinson Instructor at the University of Chicago
Ergodic Theory and Entropy
Victor Gardner (2019)
Went on to pursue a PhD in Mathematics at Duke University
Introduction to Schramm–Loewner Evolution
Corry Ke (2018)
Introduction to One-Dimensional Dynamics
Eric Navarro (2018)
Kaixin Wang (2018)
Went on to pursue a PhD in Economics at the University of California, Berkeley
Fundamental Theorem of the Local Theory of Curves