Simon Gabriel's homepage

I am a Charles B. Morrey, Jr. Math Fellow (formerly Morrey Visiting Assistant Professor) at UC Berkeley.

My research interests lie in stochastic analysis and Markov processes, in particular stochastic partial differential equations and interacting particle systems.

Previously, I was a Viterbi postdoctoral fellow at SLMath in Berkeley, affiliated to the semester program Recent Trends in SPDEs. Before coming to Berkeley, I was a postdoc in the Mathematics Cluster of Excellence at the University of Münster, in the research group of Hendrik Weber. I completed my PhD in Maths at the University of Warwick, advised by Nikos Zygouras and Paul Chleboun.

You can contact me via email: s.gabriel@berkeley.edu

Publications and preprints

• Modulated Poisson-Dirichlet diffusions arising from inclusion processes with a slow phase, 2025. [arXiv]
• The Allen-Cahn equation with weakly critical random initial datum (with Tommaso Rosati and Nikos Zygouras).
  Probab. Theory Relat. Fields 192, 1373–1446 (2025). [arXiv, doi]
• Size-biased diffusion limits and the inclusion process (with Paul Chleboun and Stefan Grosskinsky).
  Elect. J. Prob. (2024), Vol. 29, paper no. 65. [arXiv, doi]
• Poisson-Dirichlet asymptotics in condensing particle systems (with Paul Chleboun and Stefan Grosskinsky).
  Elect. J. Prob. (2022), Vol. 27, paper no. 155. [arXiv, doi]
• Central limit theorems for the (2+1)-dimensional directed polymer in the weak disorder limit.
  Ann. Inst. H. Poincaré Probab. Statist. 59 (4) 1984 - 2016, (2023). [arXiv, doi]

Other writings

• Global solutions and coming down from infinity, I (with Ruoyuan Liu). Oberwolfach Reports. Arbeitsgemeinschaft: QFT and Stochastic PDEs (2023). [doi]
• Critical scaling limits and singular SPDEs. (PhD Thesis). Mathematics Institute, University of Warwick, (2023). [wrap]

Recorded talks

• Fluctuations in the weakly coupled 4D Anderson Hamiltonian (in 2025)
• The Allen-Cahn equation with weakly critical random initial datum (in 2023)
• How the Poisson-Dirichlet distribution emerges from interacting particle systems (in 2021)

Teaching

• Spring 2026: Math104 Introduction to Analysis