
Courses
 Fall 2016  Math 275: Honors Linear Algebra
 Fall 2016  Math 421: Abstract Algebra I
 Old course webpages
Links for students
Emory algebra and number theory seminar.
Professional Information
Research (Partially supported by National Science Foundation CAREER award DMS1555048)
Preprints
 Diophantine and tropical geometry, and uniformity of rational points on curves,
with Eric Katz and Joe Rabinoff.
(Survey article for the 2015 Summer Research Insitute on Algebraic Geometry Proceedings)
arxiv
 The canonical ring of a stacky curve,
with John Voight,
arxiv
 Cohomology with closed support on the overconvergent site,
arxiv
Publications
 Uniform bounds for the number of rational points on curves of small MordellWeil rank,
with Eric Katz and Joe Rabinoff. (Accepted, Duke Mathematical Journal.)
arxiv
 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
Other intersting math links
"Work hard to find something that fascinates you."  Richard Feynman
