Forschung

Johannes-Kepler-Forschungszentrum

Interessensgebiete

• Spezielle Werte von L-Funktionen, Tamagawazahl-Vermutung
• Polylogarithmen: topologisch, motivisch, étale, p-adisch
• Iwasawa-Theorie
• Automorphe Formen
• Arithmetische Geometrie

Publikationen

Veröffentlichungen MathSciNet

MathSciNet2

Preprints

(with D. Loeffler, S. Zerbes) Rankin-Selberg Euler systems and p-adic interpolation 05/2014
(with Johannes Sprang) Another look at p-adic Fourier-theory

Veröffentlichungen

(with J. Sprang) Eisenstein-Kronecker classes, integrality of critical values of Hecke L-functions and p-adic interpolation 02/2020, to appear in Ann. of Math.
(with D. Loeffler, S. Zerbes) Rankin-Eisenstein classes for modular forms, Amer. J. Math. 142, 2020, 79-138
(with D. Scarponi) The Maillot-Rössler current and the polylogarithm on abelian schemes
ANT 13, 2019, 501-511
(with A. Beilinson, A. Levin) Topological polylogarithms and p-adic interpolation of L-values of totally real fields
Math. Ann. 371, 2018, 1449-1495
(with A. Huber) Polylogarithm for families of commutative group schemes
J. Algebraic Geom. 27, 2018, 449-495
(with D. Roessler) Higher analytic torsion, polylogarithms and norm compatible elements on abelian schemes
Geometry, Analysis and Probability, pages 99 - 126, Springer, 2017
Part of the Progress in Mathematics book series (PM, volume 310)
(with D. Loeffler, S. Zerbes) Rankin-Eisenstein classes and explicit reciprocity laws
Camb. J. Math. 5, no.1, 1-122, 2017
On p-adic interpolation of motivic Eisenstein classes
Elliptic curves, modular forms and Iwasawa theory, 335-371, Springer Proc. Math. Stat., 188 , Springer Cham, 2016
Eisenstein classes, elliptic Soulé elements and the $\ell$-adic elliptic polylogarithm
London Math. Soc. Lecture Note Ser., 418, Cambridge Univ. Press, 2015
The equivariant Tamagawa number conjecture and the Birch-Swinnerton-Dyer conjecture
IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI 2011
(with K. Bannai) p-adic Beilinson conjecture for ordinary Hecke motives associated to imaginary quadratic fields
RIMS Kôkyûroku Bessatsu, B25, 2011, Kyoto
(with A. Huber) A cohomological Tamagawa number formula
Nagoya Math. J., 202, 2011, 45-75
(with J. Johnson-Leung) On the equivariant main conjecture for imaginary quadratic fields
J. Reine Angew. Math., 653 2011, 75-114
(with A. Huber, N. Naumann) Some complements to the Lazard isomorphism
Compositio Mathematica 147, 2011, 235-262
(with A. Huber) A p-adic analogue of the Borel regulator and the Bloch-Kato exponential map.
J. Inst. Math. Jussieu, 10, 2011, no. 1, 149-190
(with K. Bannai) p-adic elliptic polylogarithm, p-adic Eisenstein series and Katz measure
Amer. J. Math., 132, 2010, no. 6, 1609-1654
A note on polylogarithms on curves and abelian schemes
Math. Z., 262, 2009, no. 3, 527-537
Degeneration of Polylogarithms and Special Values of L-Functions for Totally Real Fields
Documenta Math. , 13, 2008, 131-159
(with J. Hornbostel) On non-commutative twisting in étale and motivic cohomology.
Ann. Inst. Fourier (Grenoble), 56, 2006, no. 4, 1257-1279
The Bloch-Kato conjecture on special values of L-functions. A survey of known results
J. de Th. des Nombres de Bordeaux, 15, 2003, 179-198
(with A. Huber) Bloch-Kato conjecture and main conjecture of Iwasawa theory for Dirichlet characters
Duke Math. Jour., 119, 2003, 393-464
(with A. Huber) Equivariant Bloch-Kato conjecture and non-abelian Iwasawa main conjecture,
Proceedings of the ICM, Vol. II, 2002, 149-162
The Tamagawa number conjecture for CM elliptic curves
Invent. Math., 143, 2001, 571-627.
K-theory elements for the polylogarithm of abelian schemes
J. Reine Angew. Math., 517, 1999, 103-116.
(with A. Huber) Degeneration of l-adic Eisenstein classes and of the elliptic polylog
Invent. math., 135, 1999, 545-594
(with A. Huber) Dirichlet motives via modular curves
Ann. Sci. Ec. Norm. Sup., 32, 1999, 313-345
Extensions of motives associated to K-theory elements for Hilbert modular forms.
J. Reine Angew. Math., 503, 1998, 109-128
Higher regulators, Hilbert modular surfaces, and special values of L-functions
Duke Math. J., 92, 1998, 61-127
Extensions of motives of modular forms
Math. Ann., 309, 1997, 375-399

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