Picture here

Adrian Vasiu

Associate Professor
Ph.D., 1994, Princeton University
At Binghamton since 2007

Areas of interest: Arithmetic Algebraic Geometry
Summary of research interests

E-mail: adrian@math.binghamton.edu
Phone: (607)-777-6036
Fax: (607)-777-2450



Number Theory Seminar at Binghamton

Algebra Seminar at Binghamton

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, pp. 401--517
www.intlpress.com
1+. Integral Canonical Models of Shimura Varieties of Preabelian Type,
fully corrected version, 135 pages
DVI
2. Surjectivity Criteria for p-adic Representations, Part I,
Manuscripta Math. Vol. 112 (2003), no. 3, pp. 325--355
DOI
3. A purity theorem for abelian schemes,
Michigan Math. J. 52 (2004), no. 1, pp. 71--82
DOI
4. Surjectivity Criteria for p-adic Representations, Part II,
Manuscripta Math. Vol. 114 (2004), no. 4, pp. 325--355
DOI
5. On two theorems for flat, affine groups schemes over a discrete valuation ring,
Centr. Eur. J. Math. 3 (2005), no. 1, pp. 14--25
PDF
6. Unipotent, normal subgroup schemes of reductive groups,
C. R. Acad. Sci. Paris, Ser. I 341 (2005), no. 2, pp. 79--84
PDF
7. Crystalline boundedness principle,
Ann. Sci. Ec. Norm. Sup. 39 (2006), no. 2, pp. 245--300
PDF
8. Traverso's isogeny conjecture for p-divisible groups (with M.-H. Nicole),
Rend. Semin. Mat. U. Padova 118 (2008), pp. 73--83
xxx.arxiv.org
9. Projective integral models of Shimura varieties with compact factors,
J. Reine Angew. Math. 618 (2008), pp. 51--75
DOI
10. Minimal truncations of supersingular p-divisible groups (with M.-H. Nicole),
Indiana Univ. Math. J. 56 (2007), no. 6, pp. 2887--2897
DOI
11. Level m stratifications of versal deformations of p-divisible groups,
J. Alg. Geom. 17 (2008), no. 4, pp. 599--641
xxx.arxiv.org
12. Integral canonical models of unitary Shimura varieties,
Asian J. Math. 12 (2008), no. 2, pp. 151--176
xxx.intlpress.com
13. Some cases of the Mumford--Tate conjecture and Shimura Varieties,
Indiana Univ. Math. J. 57 (2008), no. 1, pp. 1--75
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), 197--243, IOS Press, 2008
xxx.arxiv.org
15. On the Tate and Langlands--Rapoport conjectures for Shimura varieties,
Oberwolfach Reports 5 (2008), no. 3, pp 2015--2018, Report No. 35/2008, Arithmetic Algebraic Geometry Workshop (organized by G. Faltings, J. de Jong, R. Pink), Mathematisches Forschungsinstitut Oberwolfach, Germany, August 3--8, 2008
xxx.mfo.de
16. Reconstructing p-divisible groups from their truncations of small level,
32 pages, to appear in Comment. Math. Helv.
xxx.arxiv.org
17. Breuil's classification of p-divisible groups over regular local rings of arbitrary dimension (with Thomas Zink),
20 pages, to appear in Advanced Studies in Pure Mathematics, Proceeding of Algebraic and Arithmetic Structures of Moduli Spaces, Hokkaido University, Sapporo, Japan, 2007
pdf

Manuscripts on reductive group schemes, crystalline theories, and Shimura varieties

1. Manin problems for Shimura varieties of Hodge type
41 pages
xxx.arxiv.org
2. A motivic conjecture of Milne
51 pages
www.arxiv.org
3. Extension theorems for reductive group schemes
34 pages
www.arxiv.org
4. Mod p classification of Shimura F-crystals
63 pages
xxx.arxiv.org
5. Generalized Serre--Tate ordinary theory
173 pages
xxx.arxiv.org
6. Integral models in mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part I
36 pages
xxx.arxiv.org
7. Deformation subspaces of p-divisible groups as formal Lie group structures associated to p-divisible groups
29 pages
xxx.arxiv.org
8. Integral models in mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part II
23 pages
xxx.arxiv.org
9. CM-lifts of isogeny classes of Shimura F-crystals over finite fields
71 pages
xxx.arxiv.org
10. Moduli schemes and the Shafarevich conjecture (the arithmetic case) for pseudo-polarized K3 surfaces
46 pages
DVI
11. Purity results for $p$-divisible groups and abelian schemes over regular bases of mixed characteristic (with Thomas Zink),
28 pages
pdf
12. Good reductions of Shimura varieties of preabelian type in arbitrary mixed characteristic, Part I,
48 pages
xxx.arxiv.org
13. Good reductions of Shimura varieties of preabelian type in arbitrary mixed characteristic, Part II,
33 pages
xxx.arxiv.org
14. Purity of level m stratifications (with Marc-Hubert Nicole and Torsten Wedhorn)
38 pages
xxx.arxiv.org
15. On the Tate and Langlands--Rapoport conjectures for special fibres of integral canonical models of Shimura varieties of abelian type
49 pages
PDF
16. Three methods to prove the existence of integral canonical models of Shimura varieties of Hodge type
15 pages
PDF
17. Boundedness results for finite flat group schemes over discrete valuation rings of mixed characteristic (with Thomas Zink)
27pages
xxx.arxiv.org

Courses, Fall 2009

1. Math 525: Rings and Algebras I, Course outline
PDF

Notes

Points of integral canonical models of preabelian type, p-divisible groups, and applications
third part, 8/26/99
PS
Shimura varieties and the Mumford-Tate conjecture
part two, 2/3/00
DVI

Older versions of some of the papers of Work on reductive group schemes, crystalline theories, and Shimura varieties

Points of integral canonical models of preabelian type, p-divisible groups, and applications
part one
PS
Points of integral canonical models of preabelian type, p-divisible groups, and applications
part one, 12/99
PS
Shimura varieties and the Mumford-Tate conjecture
PS
Shimura varieties and the Mumford-Tate conjecture
Older version
PS
Points of integral canonical models of preabelian type, p-divisible groups, and applications
part 2A
PS
Points of integral canonical models of preabelian type, p-divisible groups, and applications
part 2A, 1/19/2000
PS
Points of integral canonical models of preabelian type, p-divisible groups, and applications
part 2C, 1/31/00, p. 1--104
PS
A supplemnet to "Points of integral canonical models of preabelian type, p-divisible groups, and applications
part 2C, 1/31/00, p. 1--104", 2/2/00
PS


Go to the List of Faculty page.
Go to the Math Sciences Department home page.