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.

Here is a link to our Algebra seminar. I am currently mentoring Amadou Bah, a postdoc at Notre Dame.

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

News

Jul 2026. New preprint with V. Srinivas, Néron–Severi groups of proper schemes over finite fields (arXiv:2607.11777). For a proper scheme over a finite field, the algebraic cohomology classes, that is the Néron–Severi group, are cut out inside ℓ-adic cohomology by exactly two conditions: being Zariski-locally trivial and having the correct weight.

Papers and Preprints

  1. (with V. Srinivas) Néron–Severi groups of proper schemes over finite fields (Submitted). arXiv 2607.11777
  2. (with A. Rai) Generic vanishing on homogeneous spaces in arbitrary characteristic (Submitted). arXiv 2507.13452
  3. (with A. Rai) Perverse filtrations via Brylinski–Radon transformations (Submitted). arXiv 2309.13973
  4. (with D. Patel) The Brylinski–Radon transformation in characteristic p>0 (Submitted). arXiv 2307.04156
  5. *The (non-uniform) Hrushovski–Lang–Weil estimates, Adv. Math., 410, part B, 108753 (2022). arXiv 1901.02827
  6. *(with Y. Varshavsky) The Hrushovski–Lang–Weil estimates, Algebraic Geometry, 9, No. 6, 651–687 (2022). arXiv 2106.10682
  7. Algebraic entropy for smooth projective varieties, Math. Res. Lett., 29, No. 3, 851–869 (2021). arXiv 1903.06522
  8. Constraints on the cohomological correspondence associated to a self map, Compositio Mathematica, 155(6), 1047–1056 (2019). arXiv 1803.06461
  9. (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
  10. (with R. Seshadri 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 July 2026.