Dr Mohammud Foondun

Lecturer

Mathematics and Statistics

Personal statement

I am a Lecturer at Department of mathematics and Statistics at the university of Strathclyde. For my undergraduate studies, I went to the University of Mauritius where I studied Mathematics. My doctoral and post doctoral studies were done in the USA with Prof Richard Bass in Connecticut and with Prof Davar Khoshnevisan in Utah respectively. But all started at "Les Joyeux Pelerins".

Expertise

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Area of Expertise

Probability theory,

Stochastic differential equations,

Stochastic Partial Differential equations

Non-local operators

Qualifications

BSc, MS, PhD, FHEA.

Publications

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Publications

Instantaneous everywhere-blowup of parabolic SPDEs: Foondun Mohammud, Khoshnevisan Davar, Nualart Eulalia; Probability Theory and Related Fields Vol 190, pp. 601-624 (2024); https://doi.org/10.1007/s00440-024-01263-7
Ultrasonic wave propagation in randomly layered heterogeneous media: Ferguson Alistair S, Mulholland Anthony J, Tant Katherine MM, Foondun Mohammud; Wave Motion Vol 120 (2023); https://doi.org/10.1016/j.wavemoti.2023.103138
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation: Foondun Mohammud, Joseph Mathew, Kim Kunwoo; Probability Theory and Related Fields Vol 185, pp. 553–613 (2023); https://doi.org/10.1007/s00440-022-01153-w
On backward problems for stochastic fractional reaction equations with standard and fractional Brownian motion: Tuan Nguyen Huy, Foondun Mohammud, Ngoc Thach Tran, Wang Renhai; Bulletin des Sciences Mathématiques Vol 179 (2022); https://doi.org/10.1016/j.bulsci.2022.103158
Non-existence results for stochastic wave equations in one dimension: Foondun Mohammud, Nualart Eulalia; Journal of Differential Equations Vol 318, pp. 557-578 (2022); https://doi.org/10.1016/j.jde.2022.02.038
The Osgood condition for stochastic partial differential equations: Foondun Mohammud, Nualart Eulalia; Bernoulli - Journal of the Bernoulli Society, pp. 295-311 (2021); https://doi.org/10.3150/20-BEJ1240

More publications

Teaching

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Teaching

Given my educational background, I can teach a variety of courses both at the Undergraduate and Graduate level. These include topics various Mathematical Analysis, Probability theory, Harmonic Analysis, Abstract Algebra.

I am currently teaching Mathematics for our Masters Quantitative Finance program.

Research

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Research Interests

In short, I mainly work in Probability theory. More specifically, I have been studying stochastic partial differential equations(SPDE) focusing on their qualitative properties. This require the use of techniques from PDE theory, probability and Harmonic analysis.

Probability theory deals with the study of randomness and is therefore very important from the practical point of view. Randomness can be seen as an inherent feature of our physical world; the movement of a dust particle in a liquid is an example. To study systems where randomness plays an important role, one needs to develop a rigourous theory hence the need for Probability theory.

Probability theory and more specifically the study of stochastic differential equations have a lot of applications in a lot of applied fields. Finance, Physics, Biology and virtually all branches of engineering have found some use for these equations. In fact, problems from these fields have been a driving force behind the theoretical research.