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Adrian Vasiu

Visiting Assistant 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


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

1. Integral Canonical Models of Shimura Varieties of Preabelian Type,
Asian J. Math., June 1999, 126 pages
PS
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
PDF
4. Surjectivity Criteria for p-adic Representations, Part II,
Manuscripta Math. Vol. 114 (2004), no. 4, pp. 325--355
PDF
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. l\'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,
Crelle 618 (2008), 25 pages galley proofs
www.arxiv.org
10. Minimal truncations of supersingular p-divisible groups (with M.-H. Nicole),
Indiana Univ. Math. J. 56 (2007), no. 6, pp. 2887--2897
xxx.arxiv.org
11. Level m stratifications of versal deformations of p-divisible groups,
to appear in J. Alg. Geom., 35 pages
xxx.arxiv.org
12. Integral canonical models of unitary Shimura varieties,
to appear in Asian J. Math., 27 pages
xxx.arxiv.org
13. The Mumford--Tate conjecture and Shimura Varieties, Part I,
Indiana Univ. Math. J. 57 (2008), no. 1, pp. 1--75 pages
DOI
14. Geometry of Shimura varieties of Hodge type over finite fields,
to appear in the NATO volume (Proceedings) of the summer school, 47 pages
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. Reconstructing p-divisible groups from their truncations of small level
39 pages
xxx.arxiv.org
8. Deformation subspaces of p-divisible groups as formal Lie group structures associated to p-divisible groups
29 pages
xxx.arxiv.org
9. Integral models in mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part II
23 pages
xxx.arxiv.org
10. CM-lifts of isogeny classes of Shimura F-crystals over finite fields
71 pages
xxx.arxiv.org
11. Moduli schemes and the Shafarevich conjecture (the arithmetic case) for pseudo-polarized K3 surfaces
46 pages
DVI

2007 manuscripts on reductive group schemes, crystalline theories, and Shimura varieties

1. Kisin's classification of p-divisible groups over regular local rings (with Thomas Zink),
14 pages
pdf
2. Purity results for finite flat group schemes over ramified bases,
15 pages
pdf
3. Good reductions of Shimura varieties of preabelian type in arbitrary mixed characteristic, Part I,
48 pages
xxx.arxiv.org
4. Good reductions of Shimura varieties of preabelian type in arbitrary mixed characteristic, Part II,
33 pages
xxx.arxiv.org

Courses, Spring 2008

1. Math 304: Linear Algebra, Section 02, Course outline
PDF
2. Math 527: Representation Theory, Section 01, 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


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