Suchitra Pande

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Research Interests

My research interests lie in commutative algebra and algebraic geometry. In particular, I study various invariants of singularities of algebraic varieties. These include multiplier ideals, log canonical thresholds and jumping numbers in characteristic zero, and test ideals, F-pure thresholds and the F-signature in positive characteristics. I am particularly interested in adapting notions and techniques from the K-stability theory of Fano varieties to positive characteristics via the Frobenius map and the theory of F-singularities. Recently, I have also been interested in the arithmetic and Hodge-theoretic aspects of varieties in characteristic p.
Most of my recent research has involved the F-signature, an invariant that captures asymptotic properties of the Frobenius map. I study the F-signature from a geometric viewpoint, which allows us to connect it to ideas and techniques from birational geometry.

Preprints/ Publications

  1. Multiplicities Of Jumping Numbers, Algebra & Number Theory , Volume 17 (2023), No. 1, 83- 110, Arxiv
  2. The F-Signature Function On The Ample Cone, (joint with Seungsu Lee), International Mathematics Research Notices (IMRN) , Volume 2024, Issue 3, Arxiv
  3. A Frobenius version of Tian's α-invariant, To appear in Journal für die reine und angewandte Mathematik (Crelle's journal) , Arxiv
  4. Plus-pure thresholds of some cusp-like singularities in mixed characteristic, (joint with Hanlin Cai, Eamon Quinlan-Gallego, Karl Schwede, Kevin Tucker), To appear in the Journal of Commutative Algebra , Arxiv
  5. Limit F-signature functions of two-variable binomial hypersurfaces, (joint with Anna Brosowsky, Izzet Coskun, Kevin Tucker), Nagoya Math J., 261 Paper No. e35, 2026, Arxiv
  6. Hilber-Kunz multiplicity and the F-signature can disagree, (joint with Seungsu Lee and Austyn Simpson), Bulletin of the London Mathematical Society , Volume 58, Issue 3, 2026, Arxiv
  7. The F-pure threshold versus the a-invariant for standard graded rings, To appear in Forum of Mathematics, Sigma , Arxiv
  8. On positivity of the limit F-signature (joint with Yuchen Liu ), Arxiv