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

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

My research is broadly driven by questions related to understanding emergent or latent properties of complex systems and data sets. Such questions and techniques that I develop to address them span across the fields of probability, combinatorics, dynamical systems, optimization, and machine learning.

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. (Slides for my dissertation talk: thesis_talk)

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

- CV (6 pages): CV_lyu
- (Short 3-page version: CV_lyu_short)

- Research Statement (5 pages): statement_Lyu
- (Short 2-page version: statement_Lyu_short)

- Teaching Statement (5 pages): teaching_statement_Lyu

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,, Wenpin Tang, Younghak Kwon, Joel Lewis, Sangchul Lee, Marek Biskup, Hanqin Cai, Yacoub Kureh, Chris Strohmeier, and Mason Porter.