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

Office: LN 2208B
Office hours:

M 3:30-4:30

W 2:30-3:30

F 1:30-2:30
Courses:
- Fall 2009
  
  Math 525 Section 01: Rings and Algebras I
  
  MWF 10:50 - 11:50 LN-2205
  
  Math 561 Section 02: Algebra Seminar
  
  T 4:15 - 5:30 LN-2205

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

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

Courses, Fall 2009

Notes

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

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

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

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

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

Notes

Points of integral canonical models of preabelian type, p-divisible groups, and applications

third part, 8/26/99

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

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

Points of integral canonical models of preabelian type, p-divisible groups, and applications

part one, 12/99

Shimura varieties and the Mumford-Tate conjecture

Older version

Points of integral canonical models of preabelian type, p-divisible groups, and applications

part 2A

Points of integral canonical models of preabelian type, p-divisible groups, and applications

part 2A, 1/19/2000

Points of integral canonical models of preabelian type, p-divisible groups, and applications

part 2C, 1/31/00, p. 1--104

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

Math 525	Section 01:	Rings and Algebras I
	MWF	10:50 - 11:50	LN-2205
Math 561	Section 02:	Algebra Seminar
	T	4:15 - 5:30	LN-2205

M	3:30-4:30
W	2:30-3:30
F	1:30-2:30