Arvind N. Nair
Assistant Professor
Department of Mathematics
Tata Institute of Fundamental Research
India
Biography
Dr. Arvind N. Nair is an associate professor at the school of mathematics TIFR. His work focuses on topics which present challenges and opportunities for Analysis and Probability Theory, which are however motivated by their relevance for Physics. The work has benefitted from the mix of perspectives which the different fields provide and an appreciation of the links between their basic concepts and problems. Specific areas of current research include: Spectra and Dynamics of Random Operators Critical behavior in critical dimensions (with possible implications for specific field theories) Disorder effects in Statistical Mechanics .
Research Interest
Representation theory, Automorphic forms, Shimura varieties and algebraic geometry.
Publications
-
Nair A, Vaish V (2015) Weightless cohomology of algebraic varieties J. Algebra
-
Nair A (2015) Lefschetz properties for noncompact arithmetic ball quotients J. reine angew Math.