Research

My research interests lie in dynamical systems, with an emphasis on complex dynamics, symbolic dynamics, ergodic theory, and applications to statistical physics. I am also interested in the philosophy of mathematics.

Dissertation

A Dynamical Approach to the Potts Model on Cayley Tree
Purdue University Indianapolis, 2024

Publications & Preprints

• A Dynamical Approach to Studying the Lee–Yang Zeros for the Potts Model on the Cayley Tree
  with Roland Roeder
  Journal of Statistical Physics.
  arXiv:2509.11505

Preprints

• To Symbolic Dynamics Through the Thue–Morse Sequence
  arXiv:2402.07015
• A Note on the Hyperbolicity of the Non-Wandering Sets of Real Quadratic Maps
  arXiv:2402.05433

Talks & Presentations

• A Dynamical Approach to Studying the Lee–Yang Zeros for the Potts Model on the Cayley Tree,
  AMS Special Session on Aperiodic Order, Dynamics, and Fractals, Boston College, Boston, MA, March 28–29, 2026.
• Phase Transitions in the Potts Model on Cayley Tree,
  58th Spring Topology and Dynamical Systems Conference, Christopher Newport University, Newport News, VA, March 6–8, 2025. (Invited Talk)
• A Dynamical Approach to the Potts Model,
  AMS Sectional Meeting: Panorama of Holomorphic Dynamics, University of Wisconsin–Milwaukee, April 20, 2024. (Invited Talk)
• Active/Passive Dichotomy in Holomorphic Dynamics (Mini Talk),
  Midwest Dynamical Systems Early Career Conference, The Ohio State University, June 14, 2024.
• Some Aspects of Symbolic Dynamics,
  Graduate Seminar, IUPUI, August 18, 2023.
• A Dynamical Approach to the Potts Model,
  Dynamics Seminar, IUPUI, October 26, 2023.
• Grover’s Algorithm,
  Graduate Seminar, IUPUI, March 24, 2023.
• On the Thue–Morse Sequence (Mini Talk),
  Midwest Dynamical Systems Early Career Conference, University of Notre Dame, June 26, 2022.
• Topological Entropy and the Variational Principle,
  Complex Dynamics School, IUPUI, March 14, 2022.
• Quasi-Isometry,
  Graduate Seminar, IUPUI, February 25, 2022.
• The Variational Principle,
  Graduate Seminar, IUPUI, September 3, 2021.
• Norms of Vectors, Functions and Matrices,
  Graduate Seminar, IUPUI, February 12, 2021.
• Gödel’s Theorems,
  Graduate Seminar, IUPUI, October 25, 2019.

Conferences & Workshops

• AMS Special Session on Aperiodic Order, Dynamics, and Fractals, Boston College, Boston, MA, March 28–29, 2026.
• 58th Spring Topology and Dynamical Systems Conference, Christopher Newport University, Newport News, VA, March 6–8, 2025.
• Midwest Dynamical Systems Early Career Conference, The Ohio State University, May 14–15, 2024.
• AMS Sectional Meeting: Panorama of Holomorphic Dynamics, University of Wisconsin–Milwaukee, April 20–21, 2024.
• 2023 Midwest Dynamical Systems Conference, University of Illinois at Chicago, October 20–22, 2023.
• Midwestern Workshop on Asymptotic Analysis, Indiana University–Purdue University Indianapolis, October 13–15, 2023.
• 2022 Midwest Dynamical Systems Conference, Indiana University–Purdue University Indianapolis, November 18–20, 2022.
• Midwest Dynamical Systems Early Career Conference (online), University of Notre Dame, May 26–27, 2022.
• Geometry, Groups, & Dynamics Workshop, Indiana University–Purdue University Indianapolis, April 9, 2022.
• 2021 Midwest Dynamical Systems Conference, Northwestern University, Evanston, IL, November 12–14, 2021.
• Houston Summer School on Dynamical Systems, University of Houston, Houston, TX, May 30–June 6, 2019.