PUBLICATIONS:
1. Arithmetic models for Hilbert-Blumenthal modular varieties. Thesis,
2. Singularit\'es des espaces de modules de
Hilbert en caract\'eristiques divisant le discriminant.
(with P. Deligne), Compositio
Mathematica 90 (1994), 59-79.
3. Arithmetic models for Hilbert
modular varieties.
Compositio Mathematica 98 (1995), 43-76.
4. Galois structure of
K-groups of rings of integers.
(with T. Chinburg, M. Kolster, V.
Snaith).
Comptes Rendus Acad. Sci. t. 320, S\'
5. Tame actions of groups
schemes; integrals and slices.
(with T. Chinburg, B. Erez, M.
Taylor), Duke Math. Journal. Vol. 82 no 2 (1996) 269-308.
6. On the e-constants of a variety over a finite
field.
(with T. Chinburg, B. Erez, M.
Taylor), American Journal of Math. 119 (1997), 503-522.
7.
Quaternionic exercises in K-theory Galois module structure.
(with T. Chinburg, M. Kolster, V.
Snaith), Algebraic K-Theory/Fields Institute Communications/A.M.S.
(papers from the Second Great Lakes
Conference on Algebraic K-theory; March 1996), 1-29.
8.
e-constants and the Galois structure of de Rham cohomology.
(with T. Chinburg, B. Erez, M.
Taylor), Annals of Math. 146 (2), 411-473.
9.
Riemann-Roch theorems for arithmetic schemes with a group action.
(with T. Chinburg, B. Erez, M.
Taylor), J. Reine Angew. Math. 189 (1997), 151-187.
10. On torsion line bundles and torsion
points on abelian varieties,
Duke Math. Journal. 91 (1998),
215-224.
11.
Galois modules and the Theorem of the Cube.
Inventiones Math, 133 (1998) 1,
193-225. PDF
PS
(Invent.)
12. Galois structure of K-groups of rings of
integers.
(with T. Chinburg, M. Kolster, V.
Snaith), K-theory 14 (1998), no. 4, 319-369. Featured
Math Review
13. On the e-constants of arithmetic schemes.
(with T. Chinburg, B. Erez, M.
Taylor), Math Annalen 311 (1998) 2, 377-395.
14. Nearly perfect complexes and Galois
module structure
(with T. Chinburg, M. Kolster, V.
Snaith), Compositio Mathematica 119 (1999), no. 2, 135-158.
15.
Localization of Grothendieck groups and Galois structure.
(with T. Chinburg, B. Erez, M.
Taylor), Recent progress in Algebra
(Taejon/Seoul 1997), 47-63,
Contemp. Math. 224. AMS. 1999.
16.
e-constants and the Galois structure of deRham cohomology II
(with T. Chinburg, M.
Taylor), J. Reine Angew. Math. 519 (2000), 201-230. PDF
(Crelle)
17. On the arithmetic moduli schemes of
PEL Shimura varieties,
Journal of Algebraic
Geometry. 9 (2000), no. 3, 577-605. DVI
PS
18.
Galois module structure and the gamma-filtration.
Compositio Mathematica. 121 (1)
(2000), 79-104. DVI
PS
19.
Epsilon constants and Arakelov Euler characteristics
(with T. Chinburg and M. Taylor),
Mathematical Research Letters 7, no. 4 (2000), 433-446. DVI PS
20. Line bundles, rational points and
ideal classes.
(with A. Agboola), Mathematical
Research Letters 7, no. 5-6 (2000), 709-718. DVI
PS PDF
21. On arithmetic class invariants.
(with A. Agboola), Math. Annalen 320 (2001) 3, 339-365 DVI PS PDF
(Math Ann)
22. Epsilon constants and equivariant Arakelov
Euler characteristics.
(with T.
Chinburg, M. Taylor),
23. Local models in the ramified case I. The EL-case.
(with M. Rapoport), Journal of
Algebraic Geometry, 12 (2003), 107-145. DVI
PS
24. Discriminants and Arakelov Euler
characteristics.
(with T. Chinburg, M. Taylor). Number theory for the millennium, I
(
25. Duality and Hermitian Galois module
structure.
(with T. Chinburg, M. Taylor),
Proc. London Math. Soc. (3) 87 (2003), no. 1, 54-108. DVI
PS
26. Local models in the ramified case II.
Splitting models.
(with M.
Rapoport), Duke Math. Journal. 127,
no. 2 ( 2005), 193-250.
27. Cubic structures and ideal class groups. Annales de l’ENS. Vol. 38 (2005) , no. 3, 471-503 PDF
28. Pfaffians, the
G-signature theorem and Hodge Galois discriminants.
(with
T. Chinburg, M. Taylor) Compositio Math.
143 (2007), no. 5, 1213-1254. PDF
29. Cubic structures, equivariant Euler
characteristics and lattices of modular forms.
(with T. Chinburg and
M.
30. Grothendieck -Riemann-Roch and the moduli of Enriques surfaces.
Mathematical Research Letters. Vol. 15, no. 1 (2008), 117-121. math.AG/0701546
31. Integral
Grothendieck-Riemann-Roch theorem.
Inventiones Math. 170 (2007), 455-481. math.AG/0703305
32. Galois module structure of unramified covers. Math. Annalen. 341 (2008), 71-97.
33. Local models in the ramified case. III. Unitary groups. (with M. Rapoport).
To appear in the Journal of Mathematics of Jussieu, math.AG/0702286
34. Twisted loop groups and their affine flag varieties. (with M. Rapoport).
To
appear in
PREPRINTS/etc:
1. Galois modules, ideal class groups and cubic structures. Preprint math.NT/0306309 (this was split into 27 and 32 above)
2. Chow groups and cubic structures. in preparation. Preliminary version
3. Questions about G-bundles on curves. (with M. Rapoport), in preparation.