Research
Research Interests
My research interests include Number Theory, Dynamical Systems and Ergodic Theory. My recent projects are related to Diophantine approximation in p-adic solenoids and its interactions with dynamical systems. I am also interested in Machine Learning and have recently expanded on learning different techniques.
Research Articles
Machine Learning in Nutrition Research (with D. Thomas, M. Powell, et al.), invited to Annual Reviews of Nutrition
A three gap theorem for the Adeles (with A. Haynes), Ramanujan J., 60 (2023), No. 1, 13-25 (2023), ArXiV, Journal
Bounded remainder sets for rotations on higher dimensional adelic tori (with A. Haynes, J. Furno), Mosc. J Comb. Number Theory, 10 (2021), No. 2, 111-120, ArXiV, Journal
Talks, Conferences, and Research visits
Upcoming:
January 2025: Invited Talk, Special Session on Dynamics of Continued Fractions and Related Systems, AMS 2025 Joint Mathematics Meetings, Seattle, WA
Past:
September 2024: Invited Talk, Special Session on Dynamical Systems: Statistical properties, spectral theory, and fractal geometry, AMS 2024 Fall Central Sectional Meeting, UT San Antonio
August 2024: NU Trends in Ergodic Theory (NUET) 2024, Northwestern University
June 2024: Invited Talk, Department of Mathematics, University of Delhi, India
June 2024: Invited Talk, Department of Mathematical Sciences, IISER Behrampur, India
May - June 2024: Visitor, School of Mathematics, TIFR, Mumbai, India
April 2024: Invited Talk, Special session on Elementary Number Theory and Elliptic Curves; AMS 2024 Spring Eastern Sectional Meeting, Howard University
May 2023: Speaker, Brandeis Dynamics and Number Theory Seminar, Brandeis University
March 2023: A Dynamical Weekend at Wesleyan, Wesleyan University
March 2023: Invited Talk, Special session on Fractal Geometry and Dynamical Systems; AMS 2023 Spring Southeastern Sectional Meeting, Georgia Institute of Technology
March 2023: Invited Talk, Special session on Dynamical Systems; 56th Spring Topology and Dynamical Systems Conference; Rhodes College
November 2022: Invited Speaker, Topology et al Seminar, Department of Mathematics and Computer Science, Wesleyan University
July 2022: Speaker, Special session on Tiling Spaces; 36th Summer Topology Conference; Faculty of Mathematics, University of Vienna
June 2022: Ergodic theory, Number theory and Margulis legacy: the next generation; University of Chicago
May 2022: Invited Talk, Midwest Dynamical Systems Early Career Conference; University of Notre Dame
May 2022: Houston Workshop on Hyperbolic Dynamical Systems; University of Houston
May 2022: Ergodic Theory and its Connections, A Conference in Honour of the Legacy of Michael Boshernitzan; Rice University
May 2022: Homogeneous Dynamics and Related Topics Exeter 2022; Zoom
Apr 2022: Speaker, Carolina Dynamics Symposium 2022; Furman University
Apr 2022: Short Talk, Workshop on Dynamical Systems and Related Topics; University of Maryland
Mar 2022: Invited Talk, Special session on Dynamical Systems; 55th Spring Topology and Dynamical Systems Conference; Baylor University
Mar 2022: Flexibility and Rigidity in Dynamical Systems; Simons Center for Geometry and Physics, Stony Brook University
Feb 2022: Invited Talk, Colloquium; Department of Mathematics, University of Texas at Tyler
Feb 2022: Invited Talk; New England Dynamics and Number Theory Seminar, Zoom
Dec 2021: Recorded Talk, Junior Mathematician Research Archive (JMRA)
Nov 2021: Invited Talk, Special session on Topological Dynamics and its Applications; AMS Fall Southeastern Sectional Meeting, Zoom
Oct 2021: Short Talk, Workshop in Dynamical Systems and Related Topics; Pennsylvania State University
Oct 2021: Speaker, Dynamical Systems Seminar; University of Houston
Mar 2020: Speaker, Dynamical Systems Seminar; University of Houston
May 2019: Poster Presentation, MWDS Early Career Conference; Ohio State University
April 2019: Speaker; Graduate Student Paper Presentation 2019; University of Houston
Mar 2019: Speaker, Dynamical Systems Seminar; University of Houston