Yucheng Guo

I am a 5th year Ph.D. student in the Department of Operations Research and Financial Engineering at Princeton University. I am fortunate and grateful to be supervised by Prof. Mykhaylo Shkolnikov and co-supervised by Prof. Sergey Nadtochiy. My research touches upon stochastic analysis, partial differential equations, mathematical physics, mathematical finance, and machine learning. More specifically, I use probabilistic methods and interacting particle systems to analyze and solve problems that come from the above areas.

I received my Bachelor's degree in Mathematics from Fudan University in 2021.

Publications and Preprints

Zhao, H., Chen, H., Guo, Y., Winata, G. I., Ou, T., Huang, Z., Yao, D., Tang, W. (2025). Fine-Tuning Diffusion Generative Models via Rich Preference Optimization. Submitted.
Guo, Y., Yan, Q. (2025). Particle Systems with Local Interactions via Hitting Times and Cascades on Graphs. Submitted.
Guo, Y., Nadtochiy, S., Shkolnikov, M. (2024). Cascade equation for the discontinuities in the Stefan problem with surface tension. Submitted.
Guo, Y., Nadtochiy, S., Shkolnikov, M. (2024). Stefan problem with surface tension: uniqueness of physical solutions under radial symmetry. Archive for Rational Mechanics and Analysis. 248, article 90.

Academic Services

Referee for Annals of Applied Probability
(Co-)Organizer of Graduate FinMath Seminar at Princeton ORFE

Talks

11/2024 23rd Northeast Probability Seminar
06/2023 IMSI Workshop: Laplacian Growth Models, Chicago
06/2023 Stochastic Systems Seminar at UCSD, via Zoom

Teaching

Teaching Assistant:

Fall 2025: ORF 309 - Probability and Stochastic Systems (Head TA)
Spring 2025: ORF 309 - Probability and Stochastic Systems (Head TA)
Fall 2024: ORF 309 - Probability and Stochastic Systems (Head TA)
Spring 2024: ORF 309 - Probability and Stochastic Systems (Head TA)
Fall 2023: ORF 309 - Probability and Stochastic Systems
Spring 2023: ORF 474 - Special Topics in ORFE: Network Game Theory
Fall 2022: ORF 526 - Probability Theory