PAPERS ON REDUCTIVE GROUP SCHEMES, CRYSTALLINE THEORIES, AND SHIMURA VARIETIES 
1. Integral canonical models of Shimura varieties of preabelian type,
Asian J. Math. 3 (1999), no. 2, 401517 
pdf 
1+. Integral canonical models of Shimura varieties of preabelian type,
fully corrected version, 135 pages 
pdf 
2. Surjectivity criteria for padic representations, Part I,
Manuscripta Math. Vol. 112 (2003), no. 3, 325355 
doi 
3. A purity theorem for abelian schemes,
Michigan Math. J. 52 (2004), no. 1, 7182 
doi 
4. Surjectivity criteria for padic representations, Part II,
Manuscripta Math. Vol. 114 (2004), no. 4, 325355 
doi 
5. On two theorems for flat, affine groups schemes over a discrete valuation ring,
Centr. Eur. J. Math. 3 (2005), no. 1, 1425 
pdf 
6. Unipotent, normal subgroup schemes of reductive groups,
C. R. Acad. Sci. Paris, Ser. I 341 (2005), no. 2, 7984 
pdf 
7. Crystalline boundedness principle,
Ann. Sci. Ec. Norm. Sup. 39 (2006), no. 2, 245300 
pdf 
8. Traverso's isogeny conjecture for pdivisible groups (with M.H. Nicole),
Rend. Semin. Mat. U. Padova 118 (2007), 7383 
arXiv 
9. Projective integral models of Shimura varieties with compact factors,
J. Reine Angew. Math. 618 (2008), 5175 
pdf 
10. Minimal truncations of supersingular pdivisible groups (with M.H. Nicole),
Indiana Univ. Math. J. 56 (2007), no. 6, 28872897 
doi 
11. Level m stratifications of versal deformations of pdivisible groups,
J. Alg. Geom. 17 (2008), no. 4, 599641 
arXiv 
12. Integral canonical models of unitary Shimura varieties,
Asian J. Math. 12 (2008), no. 2, 151176 
pdf 
13. Some cases of the MumfordTate conjecture and Shimura varieties,
Indiana Univ. Math. J. 57 (2008), no. 1, 175 
doi 
14. Geometry of Shimura varieties of Hodge type over finite fields,
Proceedings of the NATO Advanced Study Institute on {\it Higher dimensional geometry over finite fields}, G\"ottingen, Germany (June 25  July 06, 2007), 197243, NATO Science for Peace and Security Series, D: Information and Communication Security  Vol. 16, IOS Press, 2008 
arXiv 
15. On the Tate and LanglandsRapoport conjectures for Shimura varieties,
Oberwolfach Reports 5 (2008), no. 3, 20152018, Report No. 35/2008, Arithmetic Algebraic Geometry Workshop (organized by G. Faltings, J. de Jong, R. Pink), Mathematisches Forschungsinstitut Oberwolfach, Germany, August 38, 2008 
xxx.mfo.de 
16. Reconstructing pdivisible groups from their truncations of small level,
Comment. Math. Helv. 85 (2010), no. 1, 165202 
arXiv 
pdf 
17. Breuil's classification of pdivisible groups over regular local rings of arbitrary dimension (with Thomas Zink),
Advanced Studies in Pure Mathematics 58 (2010), 461479, Proceeding of Algebraic and Arithmetic Structures of Moduli Spaces, Hokkaido University, Sapporo, Japan, 2007 
pdf 
18. Mod p classification of Shimura Fcrystals,
Math. Nachr. 283 (2010), no. 8, 10681113 
arXiv 
doi 
19. Purity of level m stratifications (with MarcHubert Nicole and Torsten Wedhorn)
Ann. Sci. Ec. Norm. Sup. 43 (2010), no. 6, 925955 
arXiv 
20. Purity results for pdivisible groups and abelian schemes over regular bases of mixed characteristic (with Thomas Zink),
Doc. Math. 15 (2010), 571599

pdf 
21. Deformation subspaces of pdivisible groups as formal Lie group structures associated to pdivisible groups,
J. Alg. Geom., Vol. 20 (2011), no. 1, 145 
arXiv 
22. Manin problems for Shimura varieties of Hodge type,
J. Ramanujan Math. Soc. 26 (2011), no. 1, 3184 
arXiv 
23. A motivic conjecture of Milne,
J. Reine Agew. Math. (Crelle) 685 (2013), 181247 
arXiv 
online 
24. Integral models in mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part I,
J. Ramanujan Math. Soc. 27 (2012), no. 4, 425477 
pdf 
25. Boundedness results for finite flat group schemes over discrete valuation rings of mixed characteristic (with Thomas Zink),
J. Number Theory 132 (2012), no. 9, 20032019 
pdf 
doi 
26. Generalized SerreTate ordinary theory,
International Press of Boston, Inc., 243 pages, ISBN: 9781571462770 
book 
27. Dimensions of group schemes of automorphisms of truncated BarsottiTate groups (with Ofer Gabber),
Int. Math. Res. Not. IMRN 2013, no. 18, 42854333 
pdf 
doi 
28. Subtle invariants for pdivisible groups and Traverso's conjectures,
Oberwolfach Reports 9 (2012), no. 3, 23632366, Report No. 38/2012, Arithmetic Algebraic Geometry Workshop (organized by G. Faltings and J. de Jong), Mathematisches Forschungsinstitut Oberwolfach, Germany, August 511, 2012 
pdf 
29. Stratifications of Newton polygon strata and Traverso's conjectures for $p$divisible groups (with Eike Lau and MarcHubert Nicole)
Annals of Mathematics 178 (2013), no. 3, 789834 
pdf 
online 
30. Integral models in mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part II,
Math. Nachr. 287, No. 1415, 17561773 (2014) 
pdf 
doi 
31. Extension theorems for reductive group schemes,
Algebra \& Number Theory Vol. 10 (2016), 89115 
pdf 