assistant professor

johns hopkins university

department of mathematics

3400 n. charles st.

baltimore, md 21218

usa

email: bds

phone: +1 410-516-4047

office: krieger 303

office hours: by appointment

common abbreviations used in my lectures pdf

cv pdf

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,

papers:

- 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.

links:

jhu mathematics department

mathscinet

zentralblatt math

google/scholar

arxiv

msc lookup

mref

mathoverflow

the stacks project

nlab

latex wikibook

tex.stackexchange.com

tex archive

comprehensive latex symbol list

detexify

mathematics genealogy project

mactutor history of mathematics

kedlaya's conferences list

vakil's conferences list

milne's page

sga scans

grothendieck circle

geometric langlands seminar at the university of chicago

ben-zvi's langlands page