Yucheng Guo
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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. I can be contacted at yucheng.guo@princeton.edu. |
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.
Awards
School of Engineering and Applied Science Award for Excellence, Princeton University, 2025
Academic Services
Referee for Annals of Applied Probability
(Co-)Organizer of Graduate FinMath Seminar at Princeton ORFE
Talks
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