I am currently Postdoctoral Assistant Professor in University of Michigan, Ann Arbor. My advisor is Prof. Ralf Spatzier. Prior to this, I was a CARMIN Postdoc at Institut des Hautes Études Scientifiques (IHES), France. I completed my Ph.D. at the Tata Institute of Fundamental Research, Mumbai in 2021 under the supervision of Prof. Anish Ghosh. My research interests lie in Homogeneous dynamics, Diophantine approximation, and Ergodic theory.
Email: prasuna@umich.edu
Here is my CV
Submanifold-genericity of Rd-actions and uniform multiplicative diophantine approximation, with Reynold Fregoli and Dmitry Kleinbock. [arXiv:2504.02258]
Hausdorff dimension and Exact approximation order in Rn, with Nicolas de Saxcé (To appear in Annales scientifiques de l'École normale supérieure) [arXiv:2312.10255]
Exact approximation order and well-distributed sets, with Anish Ghosh, and Debanjan Nandi.
Advances in Mathematics [arXiv:2208.14204]
Small solutions of quadratic forms with congruence conditions, with Anish Ghosh.
[arXiv:2008.08568]
A generic effective Oppenheim theorem for systems of forms, with Anish Ghosh, and Jiyoung Han.
Journal of Number Theory [arXiv:2003.06114]
On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form, with Anish Ghosh.
Mathematische Zeitschrift [arXiv:1905.12234]