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

Has expertise in:

    Probability theory,

    Stochastic differential equations,

    Stochastic Partial Differential equations

    Non-local operators

Qualifications

BSc, MS, PhD, FHEA.

Publications

Critical parameters for reaction-diffusion equations involving space-time fractional derivatives
Asogwa Sunday A, Foondun Mohammud, Mijena Jebessa B, Nane Erkan
Nonlinear Differential Equations and Applications NoDEA Vol 27 (2020)
https://doi.org/10.1007/s00030-020-00629-9
The Osgood condition for stochastic partial differential equations
Foondun Mohammud, Nualart Eulalia
Bernoulli Society for Mathematical Statistics and Probability (2019)
Remarks on a fractional-time stochastic equation
Foondun Mohammud
Proceedings of the American Mathematical Society (2019)
https://doi.org/10.1090/proc/14644
An approximation result for a class of stochastic heat equations with colored noise
Foondun Mohammud, Joseph Mathew, Li Shiu-Tang
Annals of Applied Probability Vol 28, pp. 2855-2895 (2018)
https://doi.org/10.1214/17-AAP1376
Some non-existence results for a class of stochastic partial differential equations
Foondun Mohammud, Liu Wei, Nane Erkan
Journal of Differential Equations (2017)
Some properties of non-linear fractional stochastic heat equations on bounded domains
Foondun Mohammud, Guerngar Ngartelbaye, Nane Erkan
Chaos, Solitons and Fractals (2017)

More publications

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 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.

Professional activities

Universitat Pompeu Fabra
Visiting researcher
27/2/2020
Discussion meeting at ISI Bangalore
Speaker
4/1/2020
Workshop on the Theory and Applications of Stochastic Partial Differential Equations
Speaker
10/6/2019
Acad Sinica, Res Ctr Appl Sci
Visiting researcher
20/5/2019
Universitat Pompeu Fabra
Visiting researcher
10/4/2019
Stat. Math. Unit, Indian Statistical Institute
Visiting researcher
14/2/2019

More professional activities

Address

Mathematics and Statistics
Livingstone Tower

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