David's Math Site

I've done work in algebraic geometry especially birational geometry. I graduated from Stony Brook University where I worked with Robert Lazarsfeld. I did postdocs with James McKernan and Alex Perry. Here are my collaborators:

Fano hypersurfaces with arbitrarily large degrees of irrationality. w/ Nathan. Forum of Math Sigma (2020)
The degree of irrationality of hypersurfaces in various Fano varieties. w/ Brooke. Manuscripta Mathematica (2019)
The degree of irrationality of very general hypersurfaces in some homogeneous spaces. PhD Thesis. Stony Brook University (2017)
The tangent space of the punctual Hilbert scheme. w/ Dori. Michigan Math Journal (2017)
Geometry and stability of tautological bundles on Hilbert schemes of points. Algebra & Number Theory (2016)

Complexes of stable birational invariants w/ James (2025)
The fibering genus of Fano hypersurfaces. w/ Ben, Lena, and Nathan (2023)
The minimal fibering degree of a toric variety equals the lattice width of its polytope. w/ Audric (2023). Transactions of the AMS
Minimal degree fibrations in curves and the asymptotic degree of irrationality of divisors. w/ Brooke and Jake (2023)
Smooth limits of plane curves of prime degrees and Markov numbers. w/ Kristin. Journal de l'École Polytechnique (2024)
Fano hypersurfaces with no finite order birational automorphisms. w/ Lena and Nathan (2022). American Journal of Mathematics
Higher index Fano varieties with finitely many birational automorphisms. w/ Nathan. Compositio (2022)
Rational endomorphisms of Fano hypersurfaces. w/ Nathan. Selecta (2023)
A direct proof that toric rank 2 bundles on projective space split. Mathematica Scandinavica (2020)
Maximal Chow constant and cohomologically constant fibrations. w/ Kristin. Communications in Contemporary Mathematics (2020)

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