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

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
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 (2022)
https://doi.org/10.1007/s00440-022-01153-w
Non-existence results for stochastic wave equations in one dimension
Foondun Mohammud, Nualart Eulalia
Journal of Differential Equations (2022)
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation
Foondun Mohammud, Joseph Mathew, Kim Kunwoo
(2021)
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
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

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

Some non-existence results for the stochastic wave equation
Speaker
19/4/2021
Stochastic Processes and their Applications (Journal)
Peer reviewer
5/5/2020
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
2019 Spring Probability Workshop
Invited speaker
20/5/2019

More professional activities

Projects

Support of collaborative research with Dr Eulalia Nualart at Barcelona.
Foondun, Mohammud (Principal Investigator)
28-Jan-2022 - 03-Jan-2022
On blow-up problems for Stochastic equations
Foondun, Mohammud (Principal Investigator)
08-Jan-2017 - 26-Jan-2021
On the long term behaviour of stochastic heat equations
Foondun, Mohammud (Principal Investigator)
15-Jan-2012 - 14-Jan-2014

More projects

Address

Mathematics and Statistics
Livingstone Tower

Location Map

View University of Strathclyde in a larger map