About and Contact Information
Office: 4-214.13
Phone: +1 (212) 817-8533
Email: dsakthivadivel@gc.cuny.edu
I am currently a member of faculty at the CUNY Graduate Centre, where I am visiting under the Einstein Chair professorship in mathematics. Previously, I have been at Stony Brook University and MIT. From January 2022 to November 2025 I was also the lead researcher in the theory group at the VERSES Research Lab.
For a summary of my current research, see this page (/research). I am broadly interested in The Machinery surrounding irregularity in topology and how it threads through complementary areas of algebra, analysis, arithmetic, and others—and especially how those relations bear on questions in mathematical and statistical physics. My primary research programme is devoted to (non-equilibrium) statistical field theory and the analysis of random processes. I am therefore particularly interested in probability and partial differential equations in infinitely many dimensions; over non-differentiable, non-measurable, and singular spaces; and together on spaces of functions of various regularity classes.
The intersection of all of these areas contains both compelling questions and rich theories offering distinct but interlocking viewpoints on those questions. Techniques and constructions from global analysis, derived geometry, and geometric analysis have all been of interest and usage to me. Function space integrals, rigorously posed renormalisation methods, and the limiting objects of geometric and probabilistic constructions alike, have been fruitful inventions to consider—as have those topological field theories arising from index theory and differential cohomology. Markov diffusion operators and Hodge theory, along with the probability theory and statistical physics of interacting particle systems, appear often.
My articles (with bibliographic information) can be found on the arXiv or Google Scholar. Some of the talks I have given are viewable here (/talks). Advocacy and press relating to my work can be found here (/other). I maintain a blog about my work, amongst other things. I can also be found on MathOverflow and with ORCiD 0000-0002-7907-7611.
Students
Former supervisees (including postdoctoral members of the VERSES theory group, cosupervised with K Friston FRS)
Francesco Sacco (cosupervised with M Levin)
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