Dr. Mikhail Karpukhin Named Recipient of the 2019 CMS Doctoral Prize

 

OTTAWA — The Canadian Mathematical Society is pleased to announce that Dr. Mikhail Karpukhin (University of California at Irvine) has been named the recipient of the 2019 CMS Doctoral Prize. Dr. Karpukhin will receive his award and present a prize lecture at the CMS Winter Meeting in Toronto, Ontario, December 6-9, 2019.

Mikhail Karpukhin is an outstanding young mathematician working in the area of geometric spectral theory. His thesis consists of a series of striking results among which an isoperimetric inequality for the first Laplace eigenvalue on non-orientable surfaces extending celebrated results of Yang-Yau and Li-Yau from the 80’s, new upper bounds on the Steklov eingenvalues of a manifold – best known result to-date in the case of a surface of given genus and boundary components, and explicit upper bounds on all eigenvalues of the Dirichlet-Neumann map for differential forms on a manifold of arbitrary dimension. In addition, Karpukhin’s joint work with Nadirashvili, Penskoi and Polterovich provides a complete solution of the isoperimetric problem for the Laplace-Beltrami eigenvalues on the 2-dimensional sphere.

Working under the supervision of Dmitry Jakobson and Iosif Polterovich, Mikhail Karpukhin has completed his PhD at McGill University where he was supported by the prestigious Schulich and Tomlinson Scholarships. He was the author and co-author of several papers such as publications in Journal of Spectral Theory, Journal of Differential Geometry and International Mathematical Research Notices, Karpukhin has also been awarded the 2018 Carl Herz Prize of the Institut des sciences mathématiques that recognizes the best research result by a PhD student enrolled at a Quebec university.

Currently, Mikhail Karpukhin is completing a three-year Visiting Assistant Professorship at University of California at Irvine.