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). 
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). 