Roan James
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Roan James

PhD Student in Mathematics

University of Rochester

I am a PhD student in the Department of Mathematics at the University of Rochester, supervised by Professor Arjun Krishnan.

My research lies in stochastic analysis, with a particular focus on directed polymers in intermediate disorder and the stochastic heat equation.

You can find my CV here: CV

You can also find an academic CV here: Academic-CV

Current Research

My thesis studies scaling limits of directed polymer models and their connections with stochastic partial differential equations.

Undergraduate Education

I received a MMath in Mathematics from the University of Sheffield, graduating with First Class Honours. During my final year, I was awarded the T. M. Flett Prize in recognition of achieving the highest marks in Pure Mathematics.

Degree Certificate T. M. Flett Prize

I am the current AMS Chapter president for the maths graduate student group at the University Of Rochester. I run the Graduate student seminars; you will soon be able to find the fall 2026 timetable here : GSS-2026

PAM-Driven Volatility and Option Pricing

A computational notebook exploring a toy connection between the parabolic Anderson model / stochastic heat equation and volatility modelling in option pricing.

View notebook

Email: Rjames15 at ur.rochester.edu
Office: Hylan Building 1104
Department: Department of Mathematics, University of Rochester