Research
What am I interested in?
My primary research interest lies in probability theory, with a specific focus on the planar Skorokhod embedding problem “PSEP”, which I began exploring in 2019 during my PhD program. This area of research combines probability theory, shape optimization, PDE’s and complex analysis.
An outline of the PSEP is presented in these slides (download).
Currently, in collaboration with Professor Fathi Haggui, I am supervising a PhD student who is working on some aspects of the PSEP.
As this topic is still relatively new, many questions remain open and are worth further investigation. If you are interested, I would be glad to collaborate.
Building on my background in probability theory, I have recently developed a strong interest in statistics, data science, and artificial intelligence. These fields are becoming increasingly important in today’s world, and I am excited by the potential they hold for solving complex problems across various domains. In particular, I have mentored a Master’s student on the topic of tracking patterns within data (2024).
Here’s the link to my PhD thesis, in case you’d like to check it out.
Some of my selected works
- Maher Boudabra, Greg Markowsky. Remarks on the speeds of a class of random walks on the integers. Discrete Mathematics. Volume 344 (2021). Pages 112-436. Elsevier
- Maher Boudabra, Greg Markowsky. A new solution to the conformal Skorokhod embedding problem and applications to the Dirichlet eigenvalue problem. Journal of Mathematical Analysis and Applications. Volume 491 (2020). Pages 124-351. Elsevier
- Maher Boudabra, Greg Markowsky. Maximizing the p-th moment of the exit time of planar Brownian motion from a given domain. Journal of Applied Probability. Volume 57 (2020). Pages 1135-1149. Cambridge University Press
- Maher Boudabra, Greg Markowsky. Remarks on the speeds of a class of random walks on the integers. Discrete Mathematics. Volume 344 (2021). Pages 112-436. Elsevier
Tips to make life easier …
In this page (click), I share some tips I think they are handy for researchers.
