This is the website of Sarvesh Ravichandran Iyer. I am presently a post doctoral student in the computer science department, and was formerly a visiting faculty at Ashoka University, Haryana, India. I had another website as a kid which was on Wix since 2010, which you can see here. The title page contains some very childish information and the about page has some nice results on recreational number theory.
My thesis work lay in an intersection of partial differential equations and probability, perhaps closest described by the phrase "probabilistic potential theory". In particular, this included questions concerning Markov processes such as Green functions and the presence of Harnack inequalities, and questions in stochastic analysis such as martingale problems and associated stochastic differential equations.
Ultimately, I would argue that my strength lay in the analysis of jump-type Levy processes, and I am presently trying to apply these in various other domains such as extreme value theory and stochastic differential equations driven by Levy processes.
Please find my Mathematics Stack Exchange profile here for a substantial amount of mathematical content I have contributed over the years. This website is VERY DIFFERENT from a usual social-media type website like Quora and Reddit, in that it's an organized repository of high specific question-answer pairs and not a discussion forum or a place to get any question answered. It has a specific, narrow purpose that it's trying to fulfill. I wrote three opinion pieces on moderation in MSE which you can read here, here and here.Â
As a faculty at Ashoka, I have taken the courses Probability and Statistics and Calculus as an instructor. (Click on them to get the details)
As part of the Lodha Genius Programme, I conducted courses in the fields of error analysis (Click to view page) and differential equations(Click to view page), and an apprenticeship program in stochastic processes and probability. The details of that apprenticeship can be found over here.
Finally, for details on present and ongoing research, you can see here.