Seminars

• The Geometry, Symmetry and Physics Seminar at Yale

• Reading seminar on cycles and matroids (Spring 2026)

Papers

13, A note on Azumaya algebras and one-forms 

       arXiv link

12, A necessary condition for liftings of positive characteristic varieties with finite fundamental groups (with Ruida Di, Runjie Hu) 

      Math. Z. to appear, arXiv link

11, Formal Manifold Structures on positive characteristic varieties (with Runjie Hu)

       arXiv link

10, Logarithmic Non Abelian Hodge Theory for curves in prime characteristic (with Mark de Cataldo)  

       arXiv link

 9, Semistable Non Abelian Hodge theorem in positive characteristic (with Andres Fernandez Herrero)  

      Selecta Math. (N.S.) to appear, arXiv link 

 8, Topology of Gm-actions and applications to the moduli of Higgs bundles (with Andres Fernandez Herrero)  

      Math. Res. Lett. 2026, published version, arXiv link

 7, Meromorphic Hodge moduli spaces for reductive groups in arbitrary characteristic (with Andres Fernandez Herrero) 

     Mich. Math. J. to appear, arXiv link 

 6, Factorization of the p-curvature morphism (with Mark de Cataldo, Andres Fernandez Herrero) 

       an Appendix to “Geometry of the logarithmic Hodge moduli space” by M. A. de Cataldo, A. F. Herrero

      J. London Math. Soc. 2024, published version,  arXiv link 

 5, The de Rham stack and the variety of very good splittings of a curve (with Mark de Cataldo, Michael Groechenig) 

      Math. Res. Lett. 2024, published version, arXiv link 

 4,  Cohomology of the moduli of Higgs bundles via positive characteristic (with Mark de Cataldo, Davesh Maulik, Junliang Shen)                                 

       J. Eur. Math. Soc. 2025, published version, arXiv link

 3,  A Cohomological Non Abelian Hodge Theorem in Positive Characteristic (with Mark de Cataldo) 

      Alg. Geom. 2022,  published version,  arXiv link 

 2,  Projective Completion of Moduli of t-Connections on Curves in Positive and Mixed Characteristic (with Mark de Cataldo)

      Adv. Math. 2022,  published version,  arXiv link 

 1,  Bott-Samelson-Demazure-Hansen Varieties for Projective Homogeneous Varieties with Nonreduced Stabilizers,                                                     

      Transform. Groups. 2023, published version, arXiv link, Ph.D. thesis version, which is the most up to date one

Expository Notes

• Cartier descent as fppf descent

• Elementary topos and Continuum Hypothesis

This is a Zoom screenshot of me calculating furiously...