Shuddhodan Kadattur Vasudevan

Shuddhodan Kadattur Vasudevan

228 Hayes-Healy Center, University of Notre Dame
Notre Dame, IN 46556, USA
E-mail: skadattundedu  ·  Tel: +1 574 631 7586

I am an Assistant Professor at the University of Notre Dame. I work on algebraic geometry with an arithmetic flavour.

I am currently mentoring Amadou Bah, a postdoc at Notre Dame. I am on the advisory board of Leelavati, a mathematics magazine for school students published in Odia.

You can find a copy of my CV here. My papers are also on the arXiv and Google Scholar.

Here is our Algebra seminar.

News

Sep 2026. New preprint with A. Roy Choudhury, Artin vanishing along the \(\ell\)-adic tower of an abelian variety (arXiv:2609.35404). For a constructible \(\mathbb{F}_\ell\)-sheaf \(F\) on an abelian variety \(A\) over an algebraically closed field in which \(\ell\) is invertible, the colimit \(\varinjlim_n\mathrm{H}^i(A,[\ell^n]^*F)\) vanishes for all \(i>\dim\operatorname{Supp}F\), which answers a question of Bhatt–Schnell–Scholze. The methods also give sharp codimension estimates for the supports of the cohomology sheaves of the Fourier–Mellin transform of a perverse sheaf, which extend the bounds of Esnault–Kerz from arithmetic to all \(\ell\)-adic perverse sheaves.

Papers and Preprints

  1. (with A. Roy Choudhury) Artin vanishing along the \(\ell\)-adic tower of an abelian variety. arXiv 2609.35404
  2. (with A. Bah) Uniform stratified vanishing and equidistribution on \(\mathbb{G}_m^d\) (Submitted). arXiv 2608.00304
  3. (with V. Srinivas) Néron–Severi groups of proper schemes over finite fields (Submitted). arXiv 2607.11777
  4. (with A. Rai) Generic vanishing on homogeneous spaces in arbitrary characteristic (Submitted). arXiv 2507.13452
  5. (with A. Rai) Perverse filtrations via Brylinski–Radon transformations (Submitted). arXiv 2309.13973
  6. (with D. Patel) The Brylinski–Radon transformation in characteristic \(p>0\) (Submitted). arXiv 2307.04156
  7. *The (non-uniform) Hrushovski–Lang–Weil estimates, Adv. Math., 410, part B, 108753 (2022). arXiv 1901.02827
  8. *(with Y. Varshavsky) The Hrushovski–Lang–Weil estimates, Algebraic Geometry, 9, No. 6, 651–687 (2022). arXiv 2106.10682
  9. Algebraic entropy for smooth projective varieties, Math. Res. Lett., 29, No. 3, 851–870 (2022). arXiv 1903.06522
  10. Constraints on the cohomological correspondence associated to a self map, Compositio Mathematica, 155(6), 1047–1056 (2019). arXiv 1803.06461
  11. (with U. T. Bhosale and A. Lakshminarayan) Using Partial Transpose and Realignment to generate Local Unitary Invariants, Phys. Rev. A, 87 052311 (2013). arXiv 1301.4082
  12. (with M. S. Ramkarthik and A. Lakshminarayan) Entanglement optimizing mixtures of two-qubit states, J. Phys. A: Math. Theor., 44 345301 (2011). arXiv 0910.4504

The articles marked * were the subject of Séminaire Bourbaki, exposé 1200 (2022), Sur un théorème de Lang–Weil tordu. Exposé Bourbaki 1200

Activities

Current Teaching

Fall 2026: Calculus III (MATH 20550), MWF, Hayes-Healy Center 127.

Office hours (my office, Hayes-Healy Center 228):

Past Teaching

Last updated 29 September 2026.