Papers and Preprints


  1. Filtrations on Local Cohomology and Injectivity Theorems
    (with Qianyu Chen and Bradley Dirks).
    Available at arXiv:2609.16196.
  2. Characterization and finite descent of local cohomological invariants
    (with Bradley Dirks and Debaditya Raychaudhury).
    Available at arXiv:2603.06456.
  3. Hodge theory of Secant varieties
    (with Qianyu Chen, Bradley Dirks, and Debaditya Raychaudhury).
    Available at arXiv:2602.04038.
  4. Partial cohomologically complete intersections via Hodge theory
    (with Qianyu Chen and Bradley Dirks).
    Available at arXiv:2511.03042.
  5. Hirzebruch-Milnor classes of local complete intersections, minimal exponent, and applications to higher singularities
    (with Bradley Dirks and Laurenţiu Maxim).
    Available at arXiv:2502.06537.
  6. A Hodge Theoretic Generalization of ℚ-Homology Manifolds II: Local Complete Intersections
    (with Bradley Dirks and Debaditya Raychaudhury).
    Available at arXiv:2607.25861.
  7. A Hodge Theoretic Generalization of ℚ-Homology Manifolds I: General Case
    (with Bradley Dirks and Debaditya Raychaudhury).
    Available at arXiv:2501.14065.
  8. Restrictions of mixed Hodge modules using generalized V-filtrations
    (with Qianyu Chen and Bradley Dirks).
    Adv. Math. 499 (2026), Paper No. 111060.
  9. On the local cohomology of secant varieties
    (with Debaditya Raychaudhury).
    To appear in Algebra & Number Theory.
  10. Singularities of secant varieties from a Hodge theoretic perspective
    (with Debaditya Raychaudhury and Lei Song).
    Proc. Lond. Math. Soc. 129 (2024), no. 4, Paper No. e12635, 34 pp.
  11. V-filtrations and minimal exponents for locally complete intersection singularities
    (with Qianyu Chen, Bradley Dirks, and Mircea Mustaţă).
    J. Reine Angew. Math. (Crelle's Journal) 811 (2024), 219–256.
  12. Weighted Hodge ideals of reduced divisors.
    Forum Math. Sigma 11 (2023), Paper No. e51, 28 pp.
  13. On a conjecture of Bitoun and Schedler
    (with Mircea Mustaţă).
    Int. Math. Res. Not. IMRN (2023), no. 21, 18254–18272.
  14. The Du Bois complex of a hypersurface and the minimal exponent
    (with Mircea Mustaţă, Mihnea Popa, and Jakub Witaszek).
    Duke Math. J. 172 (2023), no. 7, 1411–1436.
  15. Weighted multiplier ideals of reduced divisors.
    Math. Ann. 384 (2022), no. 3-4, 1091–1126.
  16. On the nonnegativity of stringy Hodge numbers.
    Int. Math. Res. Not. IMRN 2021, no. 20, 15633–15681.
  17. Local vanishing and Hodge filtration for rational singularities
    (with Mircea Mustaţă and Mihnea Popa).
    J. Inst. Math. Jussieu 19 (2020), no. 3, 801–819.

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