Shyam Popat

Status

Postgraduate Student

+44 1865 615104

Contact form

ORCID iD

https://orcid.org/0009-0003-1172-1604

Research groups

Stochastic Analysis

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Major / recent publications

Energy solutions of singular SPDEs on Hilbert spaces with applications to domains with boundary conditions

Lukas Gräfner, Nicolas Perkowski, and Shyam Popat (12/11/2024)

https://arxiv.org/abs/2411.07680

Well-Posedness of the generalised Dean-Kawasaki Equation with correlated noise on bounded domains

Stochastic Processes and their Applications, Volume 179, January 2025, 104503

Shyam Popat (28/03/2024)

https://doi.org/10.1016/j.spa.2024.104503

Teaching

MT 2023

TA for B4.1: Functional Analysis I (2 sets).
Marker for C4.3: Functional Analytic Methods for PDEs (2 sets).

TT 2023

Tutor for M1: Groups and Group Actions (1 set, St Edmund Hall college).
Tutor for M4: Constructive Mathematics (1 set, St Edmund Hall college).

HT 2023

Tutor for C8.2: Stochastic Analysis and PDEs (1 set).
TA for C8.2: Stochastic Analysis and PDEs (2 sets).

MT 2022

TA for C4.3: Functional Analytic Methods for PDEs (2 sets).
TA for MCF Stochastic Calculus (2 sets).

HT 2022

TA for M2: Analysis II - Continuity and Differentiability (1 set, Exeter college).
TA for M5: Fourier Series and PDEs (1 set, Exeter college).

TT 2022

TA for M2: Analysis III - Integration (1 set, Exeter college).

Further details

I'm Shyam, a final year student in the Mathematics of Random Systems CDT. My DPhil supervisors are Dr. Benjamin Fehrman and Prof. Ben Hambly and my title is Fluctuations in SPDEs and Interacting Particle Systems.

During my PhD I had the chance to go on a four month research exchange to Berlin, visiting Prof. Nicolas Perkowski at Freie Universität Berlin. I was there from March - July 2024.

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 where I specialised in Mathematics and Statistics. In my final year I worked with Dr Anastasia Papavasiliou on a research project titled The Expected Signature of a Random Path, Properties and Applications.