Publications

• Wick Renormalized Parabolic Stochastic Quantization on Rough Metric Measure Spaces, with J. Yang, In preparation.

• Sharp Riemannian heat kernel estimates on the cut locus and the Parabolic Anderson model, with R. Neel and C. Ouyang, https://arxiv.org/abs/2603.26936.

• Martin Boundary and the Nonlinear Multiplicative Stochastic Heat Equation in Weak Disorder, arXiv: https://arxiv.org/abs/2602.16126

• Propagation of Singularities for the Damped Stochastic Klein-Gordon Equation, with C-Y. Lee, arXiv: https://doi.org/10.48550/arXiv.2508.13671.

• Global Geometry within an SPDE Well-Posedness Problem, with C. Ouyang, Published in Probability Theory and Related Fields, https://doi.org/10.1007/s00440-025-01460-y

• Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds, with F. Baudoin and C. Ouyang, Published in Journal of Mathematical Analysis and Applications, https://doi.org/10.1016/j.jmaa.2025.129805

• Pricing the zero-coupon bond of the extended Cox-Ingersoll-Ross model using Malliavin calculus, with S. Jin and D. Kang, arXiv: https://doi.org/10.48550/arXiv.2010.01697

Invited Talks

• • 01:21:2026: Comparison Geometry, Short Time Heat Kernel Asymptotics, and the Multiplicative Stochastic Heat Equation, Arizona State University Probability Seminar

  • 01/14/2026: Comparison Geometry, Short Time Heat Kernel Asymptotics, and the Multiplicative Stochastic Heat Equation, Auburn University SASA

  • 11/19/2025: Renormalized Stochastic Quantization Equations in Rough Local Geometries, Purdue University Probability Seminar

  • 11/03/2025: How Rough Local Geometry Makes Treating Singular Equations Even Harder, EPFL Probability and Stochastic Analysis Seminar

  • 10/24/2025: Renormalized Stochastic Quantization Equations in Rough Local Geometries, Aarhus University Stochastic Analysis Seminar

  • 09/10/2025: Renormalized Stochastic Quantization Equations in Rough Local Geometries, Michigan State University Probability Seminar

  • 12/16/2024: The Parabolic Anderson Model in Negative Curvature, SUSTech Probability Seminar

  • 12/13/2024: The Parabolic Anderson Model in Negative Curvature, CUHK-Shenzhen Department Colloquium 

  • 09/20/2024: Geometry, Topology, and the Parabolic Anderson Model, Lehigh University Probability and Statistics Seminar

  • 02/28/2024: Introduction to the KPZ Equation, University of Chicago Applied Math Seminar