PUBLICATIONS:
1. Arithmetic models for Hilbert-Blumenthal modular varieties. Thesis, Columbia University 1992.
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\'erie. I, p. 1435-1440, 1995.
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), Annales de l'ENS. Vol. 35, 3 , p. 307-352 (2002) . Featured Math Review
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
(Urbana, IL, 2000), 229--255, A K Peters, Natick, MA, 2002.
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. Taylor) Annals of Math. (2), 170 (2009), no. 2, 561-608.
30. Grothendieck -Riemann-Roch and the moduli of Enriques surfaces.
Mathematical Research Letters. Vol. 15, no. 1 (2008), 117-121.
31. Integral Grothendieck-Riemann-Roch theorem.
Inventiones Math. 170 (2007), 455-481.
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).
Journal of Mathematics of Jussieu 8 (2009), no. 3, 507-564.
34. Twisted loop groups and their affine flag varieties. (with M. Rapoport). With an appendix by T. Haines and Rapoport.
Advances in Mathematics, 219 (2008), 118-198.
35. Some questions about G-bundles on curves. (with M. Rapoport).
Algebraic and Arithmetic Structure of Moduli Spaces (Sapporo 2007),
Advanced Studies in Pure Mathematics 58, 2010, arXiv:0808.3743
36. F-modules and coefficient spaces. (with M. Rapoport), Moscow Math. Journal 9 (2009),
no. 3, 625-663.
37. K_1 of a p-adic group ring I. The determinantal image.
(with T. Chinburg and M. Taylor) Journal of Algebra 362 (2011), no. 1, 74-112, arXiv:0904.2563
38. Local models of Shimura varieties, I. Geometry and Combinatorics.
(with M. Rapoport and B. Smithling), 78pp, submitted to the ``Handbook of moduli".
arXiv:1011.5551
(Some of these files might be slightly different from the published versions of the papers)
Various:
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. Preliminary version (at some point should become a paper…)
3. Finite morphisms from curves over Dedekind rings to $P^1$. (with T. Chinburg and M. Taylor) , arXiv:0902.2039.