Papers

  • o-minimal GAGA and applications to Hodge theory
    with Y. Brunebarbe and J. Tsimerman
    in preparation

     

  • Tame topology of arithmetic quotients and algebraicity of Hodge loci
    with B. Klingler and J. Tsimerman
    submitted (pdf, arXiv)

     

  • The Ax-Schanuel conjecture for variations of Hodge structures
    with J. Tsimerman
    submitted (pdf, arXiv)

     

  • Modularity of curves in Hilbert modular varieties
    with J. Tsimerman
    in preparation

     

  • A global Torelli theorem for singular symplectic varieties
    with C. Lehn
    submitted (pdf, arXiv)

     

  • The Mercat conjecture for stable rank 2 vector bundles on generic curves
    with G. Farkas
    Amer. J. Math., to appear (pdf, arXiv)

     

  • The geometric torsion conjecture for abelian varieties with real multiplication
    with J. Tsimerman
    J. Differential Geom., Volume 109, No. 3 (2018) (pdf, arXiv, journal)

     

  • The Kodaira dimension of complex hyperbolic manifolds with cusps
    with J. Tsimerman
    Compos. Math., Volume 154, Issue 3 (2017) (pdf, arXiv, journal)

     

  • A classification of Lagrangian planes in holomorphic symplectic varieties
    J. Inst. Math. Jussieu, Volume 16, Issue 4 (2017) (pdf, arXiv, journal)

     

  • p-torsion monodromy representations of elliptic curves over geometric function fields
    with J. Tsimerman
    Ann. of Math. 184 (2016) (pdf, arXiv, journal)

     

  • On the Frey-Mazur conjecture over low genus curves
    with J. Tsimerman
    arXiv preprint (2013) (pdf, arXiv)

     

  • Lagrangian 4-planes in holomorphic symplectic varieties of K3^[4] type
    with A. Jorza
    Cent. Eur. J. Math., Volume 12, Issue 7 (2014) (pdf, arXiv, journal)
    Computational appendix and Code

     

  • Higher rank stable pairs on K3 surfaces
    with A. Jorza
    Commun. Number Theory Phys., Volume 6, Number 4 (2012) (pdf, arXiv, journal)

     

  • Hodge polynomials of moduli spaces of stable pairs on K3 surfaces
    My thesis from Princeton University, under Rahul Pandharipande
    June 2010 (pdf)