I am a Hedrick Assistant Professor at UCLA department of mathematics.

I work in the fields of probability, combinatorics, dynamical systems, and distributed algorithms.

I am interested in understanding emergent behavior of complex dynamical systems through concrete mathematical models and finding algorithmic applications. I am also branching into developing new methods for network data analysis.

I earned a Ph.D in mathematics at the Ohio State University in 2018. My thesis is on “Combinatorial and probabilistic aspects of coupled oscillators”. David Sivakoff was my thesis advisor.

I earned my B.S. in mathematics at Seoul National University in South Korea.

Topics studied: Persistence of Markov additive functionals, firefly cellular automata (on finite trees and Z), 3-color cyclic cellular automata and Greenberg-Hastings model (on general graphs), pulse-coupled oscillators (on trees), clock synchronization algorithm (on general graphs), box-ball system (on Z), parking process (on transitive unimodular graphs), 3-color cyclic particle system (on Z), Euler characteristic and 3-connected graphs, and stable operations on graphons (for network data analysis).

Here is my CV_lyu. Check out my research statement_Lyu and teaching_statement_Lyu.

Here are slides for my dissertation talk: thesis_talk.

My collaborators are Janko Gravner, Lionel Levine, John Pike, Facundo Memoli, Matthew Junge, Eric Foxall, Michael Damron, Pasha Pylyavskyy, Arnab Sen, Tobias Johnson, Atsuo Kuniba, and Masato Okado.