Shyam Popat

From November 2025 I will be starting a postdoctoral position in Stochastic and Deterministic Analysis of Irregular Models at École Polytechnique, Paris.

I am finishing my PhD in the Mathematics of Random Systems CDT at the University of Oxford. My PhD supervisors are Prof. Benjamin Fehrman and Prof. Benjamin Hambly. My research thus far has focused on the topics of conservative SPDEs, singular SPDEs, interacting particle systems and nonequilibrium statistical mechanics.

Before joining the CDT I studied a four year integrated masters degree in MORSE (Mathematics, Operational Research, Statistics and Economics) at the University of Warwick.

News

30th September 2025 I was fortunate to defend my DPhil before Prof. Massimiliano Gubinelli and Prof. Avi Mayorcas. I am grateful to them for their discussions and feedback, and am pleased to have passed with minor corrections.

22nd August 2025 I have just submitted my DPhil thesis. I would like to take this opportunity to thank my supervisors for their support over the last four years.

19th July 2025 Today I married my best friend Isabel after eight and a half years together! 💍

2nd July 2025 I am honoured to have been offered a postdoctoral position in stochastic analysis at École Polytechnique, Paris, working with Prof. Milica Tomasevic and Prof. Alexandre Richard. I am excited to start a new academic chapter in November.

25th April 2025 A new preprint is available. We prove a central limit theorem and large deviations principle for the generalised Dean--Kawasaki equation equation with truncated noise on a bounded domain, which correctly captures the CLT and LDP of the zero range particle process.

13th Mar 2025 I have been invited to participate in Oberwolfach Seminar 2524a - Stochastic Partial Differential Equations in Critical Spaces from 8th-15th Jun 2025. I look forward to attending and participating in the seminar.

5th Mar 2025 I have been invited to a workshop on Fluctuating Hydrodynamics in Raitenhaslach from 1st-4th April 2025. I look forward to attending and presenting some recent and ongoing results.

12th Nov 2024 A new preprint is available on energy solutions of singular SPDEs. We develop the semigroup approach to SPDEs in order to broaden the applicability of energy solutions to a wide class of SPDEs with bilinear non-linearities and highly irregular noise.

2nd Oct 2024 My paper has been accepted to Stochastic Processes and their Applications. 🎉

Contact Information

Email: shyam [dot] popat [at] queens [dot] ox [dot] ac [dot] uk

Address: Mathematical Institute

University of Oxford

Andrew Wiles Building

Radcliffe Observatory Quarter

Woodstock Road

Oxford

OX2 6GG