Writings

Collected here is the writing that I have done over the various years.

Publications and Preprints

  1. Free curves in Fano hypersurfaces must have high degree.
    Preprint.
  2. Derived categories of quartic double fivefolds,
    Preprint.
  3. \(q\)-bic threefolds and their surface of lines.
    Preprint.
  4. \(q\)-bic hypersurfaces and their Fano schemes.
    Preprint.
  5. \(q\)-bic forms.
    Preprint.
  6. Projectivity of the moduli of curves,
    Stacks Project Expository Collection, 1–43, London Math. Soc. Lecture Note Ser., 480, Cambridge Univ. Press, Cambridge, 2022.
  7. Theorem of the Base,
    Stacks Project Expository Collection, 163–193, London Math. Soc. Lecture Note Ser., 480, Cambridge Univ. Press, Cambridge, 2022.
  8. Unbounded negativity on rational surfaces in positive characteristic,
    J. Reine Angew. Math. 783 (2022), 217–226.
  9. Combinatorial iterated integrals and the harmonic volume of graphs,
    with Eric Katz.
    Adv. in Appl. Math. 128 (2021), 102190, 23 pp.
  10. Combinatorial aspects of the quantized universal enveloping algebra of \(\mathfrak{sl}_{n+1}\),
    Ann. Comb. 22 (2018), no. 4, 681–710.

Dissertation