David Stapleton
dajost@umich.edu
CV

current teaching:
Math 416: Theory of Algorithms

previous courses:
S22:AGII·F21:Calc1·S20:Calc3·F20:Calc3

bio: I am a postdoc in algebraic geometry at the University of Michigan. I was previously a postdoc at UC San Diego and I received my PhD from Stony Brook University.

publications.

pdf
arxiv
Minimal degree fibrations in curves and the asymptotic degree of irrationality of divisors,
joint with Jake Levinson and Brooke Ullery.
submitted (2023).

pdf
arxiv
Smooth limits of plane curves of prime degree and Markov numbers,
joint with Kristin DeVleming.
submitted (2022).

pdf
arxiv
Fano hypersurfaces with no finite order birational automorphisms,
joint with Nathan Chen and Lena Ji.
submitted (2022).

pdf
arxiv
Higher index Fano varieties with finitely many birational automorphisms,
joint with Nathan Chen.
accepted at Compositio (2021).

pdf
arxiv Rational endomorphisms of Fano hypersurfaces,
joint with Nathan Chen.
submitted (2021).

pdf
arxiv A direct proof that toric rank 2 bundles on projective space split.
Mathematica Scandinavica (2020).

pdf
arxiv Maximal Chow constant and cohomologically constant fibrations,
joint with Kristin DeVleming.
Commun. in Contemporary Math. (2020).

pdf
arxiv Fano hypersurfaces with arbitrarily large degrees of irrationality,
joint with Nathan Chen.
Forum of Math., Sigma (2020).

pdf
arxiv The degree of irrationality of hypersurfaces in various Fano varieties,
joint with Brooke Ullery.
Manuscripta Mathematica (2019).

pdf The degree of irrationality of very general hypersurfaces in some homogeneous spaces.
PhD thesis, Stony Brook Univ. (2017).

pdf
arxiv The tangent space of the punctual Hilbert scheme,
joint with Dori Bejleri.
Mich. Math Journal (2017).

pdf
arxiv Geometry and stability of tautological bundles on Hilbert schemes of points.
Algebra and Number Theory (2016).

pdf arxiv	Minimal degree fibrations in curves and the asymptotic degree of irrationality of divisors, joint with Jake Levinson and Brooke Ullery. submitted (2023).
pdf arxiv	Smooth limits of plane curves of prime degree and Markov numbers, joint with Kristin DeVleming. submitted (2022).
pdf arxiv	Fano hypersurfaces with no finite order birational automorphisms, joint with Nathan Chen and Lena Ji. submitted (2022).
pdf arxiv	Higher index Fano varieties with finitely many birational automorphisms, joint with Nathan Chen. accepted at Compositio (2021).
pdf arxiv	Rational endomorphisms of Fano hypersurfaces, joint with Nathan Chen. submitted (2021).
pdf arxiv	A direct proof that toric rank 2 bundles on projective space split. Mathematica Scandinavica (2020).
pdf arxiv	Maximal Chow constant and cohomologically constant fibrations, joint with Kristin DeVleming. Commun. in Contemporary Math. (2020).
pdf arxiv	Fano hypersurfaces with arbitrarily large degrees of irrationality, joint with Nathan Chen. Forum of Math., Sigma (2020).
pdf arxiv	The degree of irrationality of hypersurfaces in various Fano varieties, joint with Brooke Ullery. Manuscripta Mathematica (2019).
pdf	The degree of irrationality of very general hypersurfaces in some homogeneous spaces. PhD thesis, Stony Brook Univ. (2017).
pdf arxiv	The tangent space of the punctual Hilbert scheme, joint with Dori Bejleri. Mich. Math Journal (2017).
pdf arxiv	Geometry and stability of tautological bundles on Hilbert schemes of points. Algebra and Number Theory (2016).