Recent news
16th December 2025 A new preprint is available. 📑 Together with Dr. Zhengyan Wu, we prove the convergence of the law of the Dean--Kawasaki equation towards its invariant measure. In the classical case (with irregular square root noise coefficient) we prove that the convergence is exponentially fast, and in the porus medium case we prove that the convergence occurs at polynomial rate. We also prove a regularisation by noise phenomenon.
1st November 2025 I have just started my postdoc at École Polytechnique, Paris. I look forward to working with Prof. Milica Tomasevic and Prof. Alexandre Richard.
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] polytechnique [dot] edu
Address: Room 3094
Centre de Mathématiques Appliquées (CMAP),
École Polytechnique,
91120 Palaiseau,
France