Shi Feng

Mathematics PhD Student at Cornell University

About Me

Shi Feng

Welcome! I am a PhD student in Mathematics at Cornell University, working under the supervision of Philippe Sosoe. My research focuses on probability theory and related topics.

Prior to starting my PhD, I completed my Bachelor's degree in Mathematics at University of Washington in 2023.


Email: sf599 (at) corenll.edu

Research Interests

My current research lies at the intersection of probability theory and functional inequalities. I am particularly interested in understanding the progress towards the KLS conjecture.

Research Area 1

Analyze high dimensional log-concave distribution by functional inequalities, optimal transport, and stochastic localization.

Research Area 2

Use the discrete Fourier transform to understand functions on the Boolean cube.

Research Area 3

Investigate Markov chains, including their stationary distribution and mixing time.

Publications & Preprints

Optimal Matching Problem on the Boolean Cube
Shi Feng
Mixing on the cycle with constant size perturbation
Shi Feng, Balazs Gerencser
Markov Chains and Mappings of Distributions on Compact Spaces
David Aldous, Shi Feng
Latin American Journal of Probability and Mathematical Statistics, 2024
Markov chains and mappings of distributions on compact spaces II: Numerics and Conjectures
David Aldous, Madelyn Cruz, Shi Feng
On the size of earthworm’s trail
Krzysztof Burdzy, Shi Feng, Daisuke Shiraishi
Electronic Communications in Probability, 2023
Number of Regions Created by Random Chords in the Circle
Shi Feng
Rose-Hulman Undergraduate Mathematics Journal, 2023