Simon Gabriel's homepage

I am a Morrey Visiting Assistant Professor in Mathematics 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]

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

Teaching

• Spring 2026: Math104 Introduction to Analysis