MATHEMATICAL GENEALOGY OF ADRIAN VASIU |
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In zero steps from (i.e., born to) Angela Vasiu. |
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In one step from Gerd Faltings. |
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In two steps from Hans-Joachim Nastold. |
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In three steps from Friedrich Karl Schmidt. |
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In four steps from Alfred Loewy. |
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In five steps from C. L. Ferdinand (Carl Louis) Lindemann and Gustav A. Bauer. |
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In six steps from Felix Klein. |
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In seven steps from Julius Plucker and Rudolf Otto Sigismund Lipschitz. |
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In eight steps from Christian Ludwig Gerling and Gustav Peter Lejeune Dirichlet and Martin Ohm. |
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In nine steps from Carl Friedrich Gauss and Simeon Denis Poisson and Jean-Baptiste Joseph Fourier and Karl Christian von Langsdorf. |
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In ten steps from Johann Friedrich Pfaff and Joseph Louis Lagrange and Pierre-Simon Laplace and Abraham Gotthelf Kastner. |
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In eleven steps from and Johann Elert Bode and Leonhard Euler and Jean Le Rond d'Alembert and Christian August Hausen. |
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In twelve steps from Johann Georg Busch and Johann Bernoulli and Johann Christoph Wichmannshausen and Johann Andreas Planer. |
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In thirteen steps from Jacob Bernoulli ... |
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In fourteen steps from Gottfried Wilhelm Leibniz ... |
PAPERS OF ADRIAN VASIU ON REDUCTIVE GROUP SCHEMES, CRYSTALLINE THEORIES, AND SHIMURA VARIETIES |
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1. Integral canonical models of Shimura varieties of preabelian type,
Asian J. Math. 3 (1999), no. 2, 401--517 |
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1+. Integral canonical models of Shimura varieties of preabelian type,
fully corrected version, 135 pages |
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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 |
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6. Unipotent, normal subgroup schemes of reductive groups,
C. R. Acad. Sci. Paris, Ser. I 341 (2005), no. 2, 79--84 |
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7. Crystalline boundedness principle,
Ann. Sci. Ec. Norm. Sup. 39 (2006), no. 2, 245--300 |
doi | ||
8. Traverso's isogeny conjecture for p-divisible groups (with M.-H. Nicole),
Rend. Semin. Mat. U. Padova 118 (2007), 73--83 |
arXiv | ||
9. Projective integral models of Shimura varieties with compact factors,
J. Reine Angew. Math. 618 (2008), 51--75 |
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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 |
arXiv | doi | |
12. Integral canonical models of unitary Shimura varieties,
Asian J. Math. 12 (2008), no. 2, 151--176 |
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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, NATO Science for Peace and Security Series, D: Information and Communication Security - Vol. 16, IOS Press, 2008 |
arXiv | ||
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 |
arXiv | ||
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 |
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18. Mod p classification of Shimura F-crystals,
Math. Nachr. 283 (2010), no. 8, 1068--1113 |
arXiv | 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 |
numdam | ||
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
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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 |
arXiv | doi | |
22. Manin problems for Shimura varieties of Hodge type,
J. Ramanujan Math. Soc. 26 (2011), no. 1, 31--84 |
arXiv | ||
23. A motivic conjecture of Milne,
J. Reine Agew. Math. (Crelle) 685 (2013), 181--247 |
arXiv | online | |
24. Integral models in mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part I,
J. Ramanujan Math. Soc. 27 (2012), no. 4, 425--477 |
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25. Boundedness results for finite flat group schemes over discrete valuation rings of mixed characteristic (with Thomas Zink),
J. Number Theory 132 (2012), no. 9, 2003--2019 |
doi | ||
26. Generalized Serre--Tate ordinary theory,
International Press of Boston, Inc., 243 pages, ISBN: 978-1-57146-277-0 |
book | ||
27. Dimensions of group schemes of automorphisms of truncated Barsotti--Tate groups (with Ofer Gabber),
Int. Math. Res. Not. IMRN 2013, no. 18, 4285-4333 |
doi | ||
28. Subtle invariants for p-divisible groups and Traverso's conjectures,
Oberwolfach Reports 9 (2012), no. 3, 2363--2366, Report No. 38/2012, Arithmetic Algebraic Geometry Workshop (organized by G. Faltings and J. de Jong), Mathematisches Forschungsinstitut Oberwolfach, Germany, August 5--11, 2012 |
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29. Stratifications of Newton polygon strata and Traverso's conjectures for $p$-divisible groups (with Eike Lau and Marc-Hubert Nicole)
Annals of Mathematics 178 (2013), no. 3, 789--834 |
online | doi | |
30. Integral models in mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part II,
Math. Nachr. 287, No. 14--15, 1756--1773 (2014) |
doi | ||
31. Extension theorems for reductive group schemes,
Algebra \& Number Theory Vol. 10 (2016), 89--115 |
doi | ||
32. Purity of crystalline strata (joint work with Jinghao Li),
24 pages, Tunis. J. Math. 1 (2019), no. 4, 519--538 |
doi | ||
33. Good reductions of Shimura varieties of Hodge type in arbitrary mixed characteristic. Part I,
Math. Nachr. 293 (2020), no. 12, 2399--2448 |
doi | ||
34. Purity for Barsotti--Tate groups in some mixed characteristic situations (joint work with Ofer Gabber),
Algebr. Geom. 8 (2021), no. 4, 490--517 |
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35. On Lie algebra modules which are modules
over semisimple group schemes (joint work with Micah Loverro),
29 pages, to appear in Manuscripta Math. |
doi | ||
36. Waring Problem for Matrices over Finite Fields (joint work Krishna Kishore and Sailun Zhan), J. Pure Appl. Algebra 228 (2024), no. 7, Paper No. 107656. |
doi |
NEW MANUSCRIPTS OF ADRIAN VASIU |
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1. On matrix invertible completions over commutative rings (joint work with Grigore Calugareanu and Horia F. Pop),
45 pages, March 15, 2023 |
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2. The δ-invariant theory of Hecke correspondences on Ag (joint work with Alexandru Buium)
242 pages, August 2, 2022 |
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3. The classification of p-quasi-healthy henselian regular local rings of dimension 2 (joint work with Ofer Gabber)
44 pages, July 2, 2020 |
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4. Isogeny and symmetry properties for Barsotti--Tate groups (joint work with Ofer Gabber)
35 pages, August 27, 2018 |
OLD MANUSCRIPTS OF ADRIAN VASIU |
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1. CM-lifts of isogeny classes of Shimura F-crystals over finite fields
62 pages, June 19, 2012 |
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2. Moduli schemes and the Shafarevich conjecture (the arithmetic case) for pseudo-polarized K3 surfaces
46 pages, September 24, 1999 |
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3. Good reductions of Shimura varieties of Hodge type in arbitrary mixed characteristic, Part II,
29 pages, July 24, 2012 |
arXiv |
4. On the Tate and Langlands--Rapoport conjectures for special fibres of integral canonical models of Shimura varieties of abelian type
55 pages, October 17, 2012 |
arXiv |
5. Three methods to prove the existence of integral canonical models of Shimura varieties of Hodge type
15 pages |
COURSES OF ADRIAN VASIU |
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1. Math 304: Linear Algebra, Section 3 |
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2. Math 479: Advanced Calculus of Several Variables, Section 1 |
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3. Math 330: Number Systems, Section 1 |
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4. Math 401: Modern Algebra I, Section 2 |
NOTES OF ADRIAN VASIU |
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1. Letter from Deligne (to Kisin with CC to us)
08/26/2011 |
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2. Points of integral canonical models of preabelian type, p-divisible groups, and applications
third part, 8/26/99 |
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3. Shimura varieties and the Mumford-Tate conjecture
part two, 2/3/00 |
OLDER VERSIONS OF SOME OF THE PAPERS AND MANUSCRIPTS OF ADRIAN VASIU |
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1. Points of integral canonical models of preabelian type, p-divisible groups, and applications
part one |
ps |
2. Points of integral canonical models of preabelian type, p-divisible groups, and applications
part one, 12/99 |
ps |
3. Shimura varieties and the Mumford-Tate conjecture |
ps |
4. Shimura varieties and the Mumford-Tate conjecture
Older version |
ps |
5. Points of integral canonical models of preabelian type, p-divisible groups, and applications
part 2A |
ps |
6. 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 |
7. 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 |