|
Adrian Vasiu Professor
|
- Office: LN 2208B
- Office hours:
M 2:30-4:00 T 11:00-12:30 - Courses:
- Ph. D. Students:
-
Xiao Xiao,
Spring,
2011
Thesis: Invariants of F-crystals
-
Xiao Xiao,
Spring,
2011
|
|
Adrian Vasiu Professor
|
| M | 2:30-4:00 |
| T | 11:00-12:30 |
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 |
||
6. Unipotent, normal subgroup schemes of reductive groups,
C. R. Acad. Sci. Paris, Ser. I 341 (2005), no. 2, 79--84 |
||
7. Crystalline boundedness principle,
Ann. Sci. Ec. Norm. Sup. 39 (2006), no. 2, 245--300 |
||
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 | |
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 |
||
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
|
||
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 |
|
4. Integral models in mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part II
24 pages |
|
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 |
|
10. Three methods to prove the existence of integral canonical models of Shimura varieties of Hodge type
15 pages |
|
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 |
|
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 |
|
2. Math 222: Instructors data (ofice hours, phone, e-mail, etc.) |
|
3. Math 222: Keys for WebAssign |
|
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 |