Lifting a Markov chain into the Mpemba effect
University of Virginia · Advisor: Prof. Marija Vucelja2026–present
I am lead author of a study of irreversible (lifted) Markov chains—Glauber dynamics of the 1D Ising model under skew detailed balance—and of when breaking detailed balance induces a Mpemba-like relaxation speedup. I mapped the parameter space with Monte Carlo simulation and spectral analysis of the generator in Python, explained the regimes analytically, and explored MCMC acceleration. To be presented at the 2027 APS Global Physics Summit.
Brain criticality from EEG data
Initiated at the 2026 APS Global Physics Summit with Richa Phogat (University of Newcastle, Australia) and Dima Watkins (UVA Physics)2026–present
I model alpha-band EEG as active particles driven by colored noise to capture signatures of criticality, and estimate the distance from criticality in experimental recordings. The work uses signal processing, regression and highly comparative time-series analysis (hctsa) in MATLAB, with neural field theory for model building across physics and neuroscience.
Extending the Mpemba effect to the underdamped regime
University of Virginia · Advisor: Prof. Marija Vucelja · with S. Aharony Shapira and O. Raz (Weizmann)2023–2026
I solved the Klein–Kramers operator for a Brownian particle in a potential by discretization, matrix continued fractions and sparse eigensolvers in Mathematica on UVA’s Rivanna cluster. The resulting paper, which I co-authored, shows that the overdamped Mpemba effect persists at finite damping. It is submitted to J. Phys. A: Math. Theor.; the preprint is arXiv:2607.11797.
Lagrangian formulation of Lotka–Volterra dynamics
Self-initiated project with Dima Watkins (UVA Physics), grown out of a weekly extracurricular discussion group2022–2025
I applied analytical mechanics to predator–prey dynamics. The work was a contributed talk at the 2026 APS Global Physics Summit.
Cosmic Ray Energetics and Mass (ISS-CREAM)
University of Maryland · Advisor: Prof. Eun-Suk Seo2019–2022
I derived channel gains to convert raw ISS-CREAM calorimeter ADC signals into energy for the cosmic-ray spectrum, with analysis in Python (pandas) on remote Linux servers over SSH. I am a co-author on the ICRC 2021 proceedings.