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Adrian Vasiu

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


CV
ARITHMETIC SEMINAR AT BINGHAMTON
ALGEBRAIC GEOMETRY GRADUATE STUDENT SEMINAR AT BINGHAMTON
ALGEBRA SEMINAR AT BINGHAMTON
COLLABORATIVE RESEARCH: UPSTATE NEW YORK NUMBER THEORY CONFERENCE. First conference: Cornell University, April 29 - May 1, 2011


MATHEMATICAL GENEALOGY

In zero steps from (i.e., born to) Angela Vasiu.
In one step from Gerd Faltings.
In two steps from Hans-Joachim Nastold.
In three steps from Friedrich Karl Schmidt.
In four steps from Alfred Loewy.
In five steps from C. L. Ferdinand (Carl Louis) Lindemann and Gustav A. Bauer.
In six steps from Felix Klein.
In seven steps from Julius Plücker and Rudolf Otto Sigismund Lipschitz.
In eight steps from Christian Ludwig Gerling and Gustav Peter Lejeune Dirichlet and Martin Ohm.
In nine steps from Carl Friedrich Gauß and Simeon Denis Poisson and Jean-Baptiste Joseph Fourier and Karl Christian von Langsdorf.
In ten steps from Johann Friedrich Pfaff and Joseph Louis Lagrange and Pierre-Simon Laplace and Abraham Gotthelf Kästner.
In eleven steps from and Johann Elert Bode and Leonhard Euler and Jean Le Rond d'Alembert and Christian August Hausen.
In twelve steps from Johann Georg Büsch and Johann Bernoulli and Johann Christoph Wichmannshausen and Johann Andreas Planer.
In thirteen steps from Jacob Bernoulli ...
In fourteen steps from Gottfried Wilhelm Leibniz ...

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, 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, 325--355
DOI
3. A purity theorem for abelian schemes,
Michigan Math. J. 52 (2004), no. 1, 71--82
DOI
4. Surjectivity criteria for p-adic representations, Part II,
Manuscripta Math. Vol. 114 (2004), no. 4, 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, 14--25
PDF
6. Unipotent, normal subgroup schemes of reductive groups,
C. R. Acad. Sci. Paris, Ser. I 341 (2005), no. 2, 79--84
PDF
7. Crystalline boundedness principle,
Ann. Sci. Ec. Norm. Sup. 39 (2006), no. 2, 245--300
PDF
8. Traverso's isogeny conjecture for p-divisible groups (with M.-H. Nicole),
Rend. Semin. Mat. U. Padova 118 (2008), 73--83
xxx.arxiv.org
9. Projective integral models of Shimura varieties with compact factors,
J. Reine Angew. Math. 618 (2008), 51--75
DOI
10. Minimal truncations of supersingular p-divisible groups (with M.-H. Nicole),
Indiana Univ. Math. J. 56 (2007), no. 6, 2887--2897
DOI
11. Level m stratifications of versal deformations of p-divisible groups,
J. Alg. Geom. 17 (2008), no. 4, 599--641
xxx.arxiv.org
12. Integral canonical models of unitary Shimura varieties,
Asian J. Math. 12 (2008), no. 2, 151--176
xxx.intlpress.com
13. Some cases of the Mumford--Tate conjecture and Shimura varieties,
Indiana Univ. Math. J. 57 (2008), no. 1, 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, 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,
Comment. Math. Helv. 85 (2010), no. 1, 165--202
xxx.arxiv.org pdf
17. Breuil's classification of p-divisible groups over regular local rings of arbitrary dimension (with Thomas Zink),
Advanced Studies in Pure Mathematics 58 (2010), 461--479, Proceeding of Algebraic and Arithmetic Structures of Moduli Spaces, Hokkaido University, Sapporo, Japan, 2007
pdf
18. Mod p classification of Shimura F-crystals,
Math. Nachr. 283 (2010), no. 8, 1068--1113
xxx.arxiv.org doi
19. Purity of level m stratifications (with Marc-Hubert Nicole and Torsten Wedhorn)
Ann. Sci. Ec. Norm. Sup. 43 (2010), no. 6, 925--955
xxx.arxiv.org
20. Purity results for p-divisible groups and abelian schemes over regular bases of mixed characteristic (with Thomas Zink),
Doc. Math. 15 (2010), 571--599
pdf
21. Deformation subspaces of p-divisible groups as formal Lie group structures associated to p-divisible groups,
J. Alg. Geom., Vol. 20 (2011), no. 1, 1--45
xxx.arxiv.org
22. Manin problems for Shimura varieties of Hodge type,
J. Ramanujan Math. Soc. 26 (2011), no. 1, 31--84
xxx.arxiv.org
23. A motivic conjecture of Milne,
60 pages, to appear in J. Reine Agew. Math. (Crelle)
xxx.arxiv.org

MANUSCRIPTS

1. Extension theorems for reductive group schemes
34 pages
www.arxiv.org
2. Generalized Serre--Tate ordinary theory
173 pages
xxx.arxiv.org
3. Integral models in mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part I
43 pages
PDF
4. Integral models in mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part II
24 pages
PDF
5. CM-lifts of isogeny classes of Shimura F-crystals over finite fields
71 pages
xxx.arxiv.org
6. Moduli schemes and the Shafarevich conjecture (the arithmetic case) for pseudo-polarized K3 surfaces
46 pages
DVI
7. Good reductions of Shimura varieties of preabelian type in arbitrary mixed characteristic, Part I,
48 pages
xxx.arxiv.org
8. Good reductions of Shimura varieties of preabelian type in arbitrary mixed characteristic, Part II,
33 pages
xxx.arxiv.org
9. On the Tate and Langlands--Rapoport conjectures for special fibres of integral canonical models of Shimura varieties of abelian type
49 pages
PDF
10. Three methods to prove the existence of integral canonical models of Shimura varieties of Hodge type
15 pages
PDF
11. Boundedness results for finite flat group schemes over discrete valuation rings of mixed characteristic (with Thomas Zink)
24 pages
xxx.arxiv.org
12. Dimensions of group schemes of automorphisms of truncated Barsotti--Tate groups (with Ofer Gabber)
50 pages
PDF
13. Stratifications of Newton polygon strata and Traverso's conjectures for $p$-divisible groups (with Eike Lau and Marc-Hubert Nicole)
48 pages
xxx.arxiv.org

COURSES, Spring 2012

1. Math 222: Course outline for Calculus II
PDF
2. Math 222: Instructors data (ofice hours, phone, e-mail, etc.)
PDF
3. Math 222: Keys for WebAssign
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 AND MANUSCRIPTS

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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