Arvind N. Nair


 

          Email: myfirstname(at)math.tifr.res.in

          Snail mail:

             School of Mathematics
             Tata Institute of Fundamental Research
             Homi Bhabha Road
             Mumbai 400005, India

          Office: A-339
          Office phone: (+91) 22 2278 2657



    Mathematical interests: Representation theory, automorphic forms, algebraic geometry.

    Recent(ish) work (may differ slightly from published versions):

    • Lefschetz properties for noncompact arithmetic ball quotients (J. reine angew. Math., 2017)

    • (with V. Vaish) Weightless cohomology of algebraic varieties (J. Algebra, 2015)
    • Mixed structures in Shimura varieties and automorphic forms (revised version, 2013)
    • Chern classes of automorphic vector bundles and the reductive Borel-Serre compactification (2014)
    • (replaces the preprint "On the cohomology of reductive Borel-Serre compactifications")

    • Lefschetz properties for noncompact arithmetic ball quotients II (8/2015) (manuscripta math., 2017)
    • Motivic and automorphic aspects of the reductive Borel-Serre compactification (8/2016)
    • (appeared in the volume "Hodge theory and L^2 analysis" (2017) in honour of S. Zucker)

    • (with D. Prasad) Cohomological representations of real reductive groups (4/2019) appeared in J. London Math. Soc. (2021)
    • (with A. Rai) Automorphic Lefschetz properties for noncompact arithmetic manifolds (4/2020) appeared in J. Inst. Math. Jussieu (2023)

    Link for my algebra class
    Link for my topology class