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

I work in the fields of probability, combinatorics, dynamical systems, data science, and machine learning.

I am generally interested in understanding the emergent behavior of complex dynamical systems and finding algorithmic applications. In the context of modern data science, I am interested in convergence of online/distributed algorithms, MCMC sampling, online learning algorithms and inference.

I am the principal investigator of the NSF Grant DMS-2010035 on *Combinatorial and Probabilistic Approaches to Oscillator and Clock Synchronization.*

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.

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

Here are slides for my dissertation talk: thesis_talk.

My collaborators are Janko Gravner, Lionel Levine, John Pike, Facudo Memoli, Matthew Junge, Eric Foxall, Michael Damron, Pasha Pylyavskyy, Arnab Sen, Tobias Johnson, Atsuo Kuniba, Masato Okado, Deanna Needell, Laura Balzano, Igor Pak, Sam Dittmer, Georg Menz, Guido Montufar, Wenpin Tang, Younghak Kwon, Mei Yin, Joel Lewis, Sangchul Lee, Marek Biskup, Hanqin Cai, Yacoub Kureh, Chris Strohmeier, and Mason Porter.