fall 2017 teaching: topics in arithmetic geometry (math 724; an introduction to abelian varieties)
i am currently the organizer for the jhu number theory seminar
together with thomas haines, i am a co-organizer for the jhu-umd algebra and number theory day
my research is in arithmetic and algebraic geometry, and more specifically in shimura varieties and classification problems related to abelian varieties, p-divisible groups, and formal lie groups
Arithmetic diagonal cycles on unitary Shimura varieties (with M. Rapoport and W. Zhang), in preparation.
Orthogonal Shimura varieties of PEL type and local models, in preparation.
Orthogonal analogs of some schemes considered by De Concini, in preparation.
Regular formal moduli spaces and arithmetic transfer conjectures (with M. Rapoport and W. Zhang), Math. Ann. (2017), 1-97. doi:10.1007/s00208-017-1526-2. pdf
On the arithmetic transfer conjecture for exotic smooth formal moduli spaces (with M. Rapoport and W. Zhang), to appear in Duke Math. J., 91 pp. pdf
On the moduli description of local models for ramified unitary groups, Int. Math. Res. Not.
2015 (2015), no. 24, 13493-13532 pdf
Topological flatness of local models for ramified unitary groups. II. The even dimensional case, J. Inst. Math. Jussieu 13 (2014), no. 2, 303-393 pdf
Local models of Shimura varieties, I. Geometry and combinatorics (with G. Pappas and M. Rapoport). Handbook of Moduli, Vol. III, International Press, Somerville, MA, 2013, pp. 135-217 pdf
Topological flatness of local models for ramified unitary groups. I. The odd dimensional case. Adv. Math. 226 (2011), no. 4, 3160-3190 pdf
Admissibility and permissibility for minuscule cocharacters in orthogonal groups, Manuscripta Math. 136 (2011), no. 3-4, 295-314 pdf
Topological flatness of orthogonal local models in the split, even case. I. Math. Ann. 350 (2011), no. 2, 381-416 pdf
On the moduli stack of commutative, 1-parameter formal groups. J. Pure Appl. Algebra 215 (2011), no. 4, 368-397 pdf (a condensed version of my thesis)
some old course notes for kottwitz's autumn 2003 course "topics in algebra" (an
introductory course on algebraic stacks) pdf
these contain some minor errors introduced by yours truly, but for now the source
file is lost.
jhu mathematics department
milne's page sga scans grothendieck circle
geometric langlands seminar at the
university of chicago
ben-zvi's langlands page you know what they say, stupid criminals make stupid cops. i'm proud to be chasing this guy -- mcnulty, the wire s1e9