David Zureick-Brown's Homepage

David Zureick-Brown (dzb@mathcs.emory.edu)
Office: W430 Math and science center
"Office": (608) 616-0153
Department of Mathematics
 Emory University
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
  1. A predicted distribution for Galois groups of maximal unramified extensions, with Yuan Liu and Melanie Matchett Wood, arxiv
  2. Cohomology with closed support on the overconvergent site; arxiv
Publications
  1. Angle Ranks of Abelian Varieties, with Taylor Dupuy and Kiran S. Kedlaya, accepted for publciation in Mathematische Annalen. arxiv
  2. Heights on stacks and a generalized Batyrev--Manin--Malle conjecture, with Jordan S. Ellenberg and Matthew Satriano, accepted for publication in Forum of Mathematics, Sigma, arxiv
  3. ell-adic 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,
  4. Sporadic Cubic Torsion, with Maarten Derickx, Anastassia Etropolski, Mark van Hoeij, and Jackson S. Morrow; Algebra & Number Theory 15-7 (2021), 1837--1864. DOI https://doi.org/10.2140/ant.2021.15.1837; arxiv
  5. Deligne--Illusie Classes as Arithmetic Kodaira--Spencer Classes, with Taylor Dupuy; Journal de Théorie des Nombres de Bordeaux' 31 (2019), no. 2, 371--383. arxiv
  6. The canonical ring of a stacky curve, with John Voight, Mem. Amer. Math. Soc. 277 (2022), no. 1362; arxiv, eratta.
  7. Total p-differentials on schemes over Z/p2, with Taylor Dupuy, Eric Katz, Joseph Rabinoff; (Journal of Algebra Volume 524 (2019)) arxiv
  8. Chip-firing groups of iterated cones, with Morgan Brown and Jackson S. Morrow; (Linear Algebra and its Applications, 556 (2018), 46--54) arxiv
  9. 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
  10. Uniform bounds for the number of rational points on curves of small Mordell--Weil rank, with Eric Katz and Joe Rabinoff; (Duke Math J. 165 (2016), no. 16, 3189--3240); arxiv, published version
  11. Elliptic curves over Q and 2-adic images of Galois, with Jeremy Rouse. (Research in Number Theory, Volume 1, Issue 1, 2015) arxiv, code, published version
  12. 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,
  13. Formal GAGA for Good Moduli Spaces, with Anton Geraschenko. (Algebraic Geometry, Volume 2, Issue 2, May 2015) arxiv, blog post (by Max Lieblich)
  14. Cohomological Descent on the Overconvergent Site, (RIMS, 2014, 1:8) arxiv, published version,
  15. Integral Monsky-Washnitzer cohomology and the overconvergent de Rham-Witt complex, with Christopher Davis (MRL, 21 (2014), No 2.) arxiv, published version,
  16. The Chabauty-Coleman 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,
  17. Random Dieudonn'e modules, random p-divisible groups, and random curves over finite fields, with Bryden Cais and Jordan Ellenberg. (J. Math. Inst. Jussieu, 2013) arxiv, published version, code)
  18. Primitive Integral Solutions to x^2 + y^3 = z^10. (IMRN 2012, no. 2, 423--436) arxiv, published version, code
  19. Rigid cohomology for algebraic stacks (UC Berkeley thesis, 2010) pdf
Non-research 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
mathoverflow.net
Other interesting math links