
Fall 2023 I will be moving to Amherst College
Courses and seminars
Professional Information
Links for students
Slides for talks I have given (and occasionally the tex source) are available here
Videos of some talks I have given are available here
Research
Preprints
 A predicted distribution for Galois groups of maximal unramified extensions,
with Yuan Liu and Melanie Matchett Wood,
arxiv
 Cohomology with closed support on the overconvergent site;
arxiv
Publications
 Angle Ranks of Abelian Varieties,
with Taylor Dupuy and Kiran S. Kedlaya, accepted for publciation in Mathematische Annalen.
arxiv
 Heights on stacks and a generalized BatyrevManinMalle conjecture,
with Jordan S. Ellenberg and Matthew Satriano, accepted for publication in Forum of Mathematics, Sigma,
arxiv
 elladic images of Galois for elliptic curves over Q,
with Jeremy Rouse and Andrew Sutherland and an appendix with John Voight; Forum of Mathematics, Sigma, Volume 10, 2022;
arxiv,
published version,
code,
 Sporadic Cubic Torsion,
with Maarten Derickx, Anastassia Etropolski, Mark van Hoeij, and Jackson S. Morrow; Algebra & Number Theory 157 (2021), 18371864. DOI https://doi.org/10.2140/ant.2021.15.1837;
arxiv
 DeligneIllusie Classes as Arithmetic KodairaSpencer Classes,
with Taylor Dupuy; Journal de Théorie des Nombres de Bordeaux' 31 (2019), no. 2, 371383.
arxiv
 The canonical ring of a stacky curve,
with John Voight, Mem. Amer. Math. Soc. 277 (2022), no. 1362;
arxiv,
eratta.
 Total pdifferentials on schemes over Z/p2,
with Taylor Dupuy, Eric Katz, Joseph Rabinoff;
(Journal of Algebra Volume 524 (2019))
arxiv
 Chipfiring groups of iterated cones,
with Morgan Brown and Jackson S. Morrow;
(Linear Algebra and its Applications, 556 (2018), 4654)
arxiv
 Diophantine and tropical geometry, and uniformity of rational points on curves, with Eric Katz and Joe Rabinoff;
(2015 Summer Research Insitute on Algebraic Geometry Proceedings, published in Proceedings of Symposia in Pure
Mathematics, Volume 97.2, 2018)
arxiv
 Uniform bounds for the number of rational points on curves of small MordellWeil rank,
with Eric Katz and Joe Rabinoff; (Duke Math J. 165 (2016), no. 16, 31893240);
arxiv,
published version
 Elliptic curves over Q and 2adic images of Galois,
with Jeremy Rouse.
(Research in Number Theory, Volume 1, Issue 1, 2015)
arxiv,
code,
published version
 A heuristic for the distribution of point counts for random curves over a finite field,
with Jeffrey D. Achter, Daniel Erman, Kiran S. Kedlaya, Melanie Matchett Wood.
(Philosophical Transactions of the Royal Society A 373 (2015))
arxiv,
 Formal GAGA for Good Moduli Spaces,
with Anton Geraschenko.
(Algebraic Geometry, Volume 2, Issue 2, May 2015)
arxiv,
blog post (by Max Lieblich)
 Cohomological Descent on the Overconvergent Site,
(RIMS, 2014, 1:8)
arxiv,
published version,
 Integral MonskyWashnitzer cohomology and the overconvergent de RhamWitt complex,
with Christopher Davis
(MRL, 21 (2014), No 2.)
arxiv,
published version,
 The ChabautyColeman bound at a prime of bad reduction and Clifford bounds for Geometric Rank Functions,
with Eric Katz
(Compositio Mathematica 149 (2013), no. 11)
arxiv,
published version,
 Random Dieudonn'e modules, random pdivisible groups, and random curves over finite fields,
with Bryden Cais and Jordan Ellenberg.
(J. Math. Inst. Jussieu, 2013)
arxiv,
published version,
code)
 Primitive Integral Solutions to x^2 + y^3 = z^10.
(IMRN 2012, no. 2, 423436)
arxiv,
published version,
code
 Rigid cohomology for algebraic stacks
(UC Berkeley thesis, 2010)
pdf
Nonresearch publications
Early Career: How to balance research with everything else we have to do, Notices
of the American Mathematical Society, May 2020
Videos of some of my talks
Other interesting math links
