Research

I am interested in algebraic stacks, moduli problems and \(\mathbb{A}^1\)-homotopy theory.

Preprints

  1. A Motivic Riemann-Roch Theorem for Deligne-Mumford Stacks (with Utsav Choudhury, Amit Hogadi), (2024). pdf
  2. A^1-connected stacky curves and the Brauer group of moduli of elliptic curves (with Suraj Yadav), (2024). pdf
  3. On the Motivic Homotopy type of Algebraic Stacks (with an appendix joint with Jack Hall), (2023). pdf

Publications

  1. The Nisnevich Motive of an Algebraic Stack (with Utsav Choudhury, Amit Hogadi) Annals of K-Theory , Vol. 8 (2023), No. 2, 245–273. journal pdf
  2. The stack of admissible covers is algebraic (with Elsa Corniani, Brett Nasserden, Emanuel Reinecke, Nawaz Sultani, Rachel Webb) SPEC: Stacks Project Expository Collection, Belmans, Ho, & De Jong (Eds.), London Mathematical Society Lecture Note Series, Cambridge University Press (2022). pdf
  3. Nisnevich local good compactifications (with Amit Hogadi, Girish Kulkarni, Suraj Yadav) manuscripta mathematica (2022). pdf
  4. A Nisnevich Local Bloch-Ogus Theorem over a General Base (with G. Kulkarni and S. Yadav), Journal of Pure and Applied Algebra , 226 (2022). journal pdf
    Erratum: There is a gap in the proof of Theorem 1.1 which we currently do not know how to resolve. Theorem 1.2 holds as stated, however.
  5. Quasi-Affineness and the 1-Resolution Property (with A. Hogadi and S. Mathur), International Mathematics Research Notices, 2022, 2224-2249. journal pdf
  6. Gabber presentation lemma over noetherian domains (with A. Hogadi, G. Kulkarni and S. Yadav), Journal of Algebra, 569 (2021), 169-179. journal pdf

Conference talks