Christopher Deninger | Academic Influence

Christopher Deninger's AcademicInfluence.com Rankings

Christopher Deninger

Mathematics

#2088

World Rank

#3279

Historical Rank

Algebraic Geometry

#67

World Rank

#70

Historical Rank

Measure Theory

#3688

World Rank

#4351

Historical Rank

mathematics Degrees

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Mathematics

Christopher Deninger's Degrees

PhD Mathematics University of Bonn

Why Is Christopher Deninger Influential?

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According to Wikipedia, Christopher Deninger is a German mathematician at the University of Münster. Deninger's research focuses on arithmetic geometry, including applications to L-functions. Career Deninger obtained his doctorate from the University of Cologne in 1982, under the supervision of Curt Meyer. In 1992 he shared a Gottfried Wilhelm Leibniz Prize with Michael Rapoport, Peter Schneider and Thomas Zink. In 1998 he was a plenary speaker at the International Congress of Mathematicians in 1998 in Berlin. In 2012 he became a fellow of the American Mathematical Society.

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Christopher Deninger's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Motivic decomposition of abelian schemes and the Fourier transform. (1991) (225)
Deligne periods of mixed motives, -theory and the entropy of certain ℤⁿ-actions (1997) (143)
LocalL-factors of motives and regularized determinants (1992) (119)
Some analogies between number theory and dynamical systems on foliated spaces. (2002) (114)
On the Γ-factors attached to motives (1991) (103)
Motivic L-functions and regularized determinants (1994) (76)
Fuglede--Kadison determinants and entropy for actions of discrete amenable groups (2005) (73)
Expansive algebraic actions of discrete residually finite amenable groups and their entropy (2006) (72)
Higher regulators and HeckeL-series of imaginary quadratic fields I (1989) (70)
$$C^*$$-algebras of Toeplitz type associated with algebraic number fields (2011) (64)
On the analogue of the formula of Chowla and Selberg for real quadratic fields. (1984) (59)
Vector bundles on p-adic curves and parallel transport (2004) (55)
Higher regulators and Hecke $L$-series of imaginary quadratic fields II (1990) (45)
Evidence for a Cohomological Approach to Analytic Number Theory (1994) (45)
L-functions and Arithmetic: The Beilinson conjectures (1991) (42)
On the cohomology of nilpotent Lie algebras (1988) (36)
Higher order operations in Deligne cohomology (1995) (29)
Thee-invariant and the spectrum of the Laplacian for compact nilmanifolds covered by Heisenberg groups (1984) (28)
p-adic Mahler measures (1999) (27)
Analogies between analysis on foliated spaces and arithmetic geometry (2007) (24)
A note on arithmetic topology and dynamical systems (2002) (22)
Lefschetz trace formulas and explicit formulas in analytic number theory. (1993) (19)
Mahler measures and Fuglede-Kadison determinants (2009) (18)
A proper base change theorem for non-torsion sheaves in étale cohomology (1988) (18)
Duality in the Étale cohomology of one-dimensional proper schemes and generalizations (1987) (18)
Formal groups and L-series (1990) (18)
The Many Aspects of Mahler ’ s Measure (2003) (18)
RETRACTED: On the Beilinson conjectures for elliptic curves with complex multiplication (1988) (17)
Line Bundles and p-Adic Characters (2004) (16)
A dynamical systems analogue of Lichtenbaum's conjectures on special values of Hasse-Weil zeta functions (2006) (15)
Witt Vector Rings and the Relative de Rham Witt Complex (2014) (14)
Real Polarizable Hodge Structures Arising from Foliations (2002) (14)
On the Nature of the “Explicit Formulas” in Analytic Number Theory — A Simple Example (2002) (14)
Parallel transport for vector bundles on 𝑝-adic varieties (2017) (12)
Vector bundles and p-adic representations I (2003) (12)
Determinants on von Neumann algebras, Mahler measures and Ljapunov exponents (2007) (11)
Two-variable zeta functions and regularized products (2002) (11)
A Distribution Theoretic Proof of Guinand's Functional Equation for Cramér's V‐Function and Generalizations (1995) (11)
On Artin-Verdier duality for function fields (1984) (10)
p -adic Entropy and a p -adic Fuglede–Kadison Determinant (2006) (10)
Vector bundles on p-adic curves and parallel transport II (2009) (9)
Arithmetic Geometry and Analysis on Foliated Spaces (2005) (9)
A counterexample to smooth leafwise Hodge decomposition for general foliations and to a type of dynamical trace formulas (2001) (9)
Algebraic Cycles and Motives: On Tannaka Duality for Vector Bundles on p -adic Curves (2005) (8)
On Ext 2 of Motives Over Arithmetic Curves (1995) (8)
Artin-Verdier duality for n-dimensional local fields involving higher algebraic K-sheaves (1986) (7)
A motivic version of Pellikaan's two variable zeta function (2003) (7)
An extension of Aritn-Verdier duality to non-torsion sheaves. (1986) (7)
An alternative to Witt vectors (2013) (6)
Motivic ε-factors at infinity and regularized dimensions (1994) (5)
On Dynamical Systems and Their Possible Significance for Arithmetic Geometry (2000) (5)
On extensions of mixed motives (1997) (5)
The Hilbert-Polya strategy and height pairings (2010) (4)
Exchanging the places p and ∞ in the Leopoldt conjecture (2005) (4)
How to recover anL-series from its values at almost all positive integers. Some remarks on a formula of Ramanujan (2000) (4)
On the -factors of motives. II. (2001) (4)
Dynamical systems for arithmetic schemes. (2018) (3)
Invariant measures on the circle and functional equations (2011) (3)
A remark on the structure of torsors under an affine group scheme (2013) (3)
Representations attached to vector bundles on curves over finite and p-adic fields, a comparison (2009) (3)
Regulators, entropy and infinite determinants (2011) (3)
A dynamical lefschetz trace formula for algebraic anosov diffeomorphisms (2002) (2)
Analysis on foliated spaces and arithmetic geometry (2008) (2)
l-adic Lefschetz numbers of arithmetic schemes. (1987) (2)
There is no Weil-cohomology theory with real coefficients for arithmetic curves (2022) (1)
Isogenies of abelian varieties with multiplications and fitting ideals (1995) (1)
Invariant Functions on $p$-divisible Groups and the $p$-adic Corona Problem (2009) (1)
On the $\Gamma$-factors of motives. II (2001) (0)
Weyl Tensors, Strongly Regular Graphs, Multiplicative Characters, and a Quadratic Matrix Equation (2022) (0)
ZR and rings of Witt vectors WS(R) (2018) (0)
A dynamical analogue of Lichtenbaum’s recent conjectures on special values of zeta functions (2005) (0)
Two-Variable Zeta Functions and Regularized Products Dedicated to Kazuya (2003) (0)
O ct 2 00 2 Two-variable zeta functions and regularized products (2002) (0)
Horizontal factorizations of certain Hasse--Weil zeta functions - a remark on a paper by Taniyama (2012) (0)
0 A pr 2 00 2 Real polarizable Hodge structures arising from foliations (2002) (0)
The universal deformation of the Witt ring scheme (2016) (0)
2 9 Ju l 2 00 4 Line bundles and p-adic characters (2008) (0)
A pro-algebraic fundamental group for topological spaces (2020) (0)
On dynamical systems and their possiblesigni cance for arithmetic geometryby (1997) (0)
A remark on the structure of torsors under an affine group scheme (2017) (0)
$\mathbb ZR$ and rings of Witt vectors $W_S(R)$ (2018) (0)
Invariant measures on the circle (2014) (0)
03 Vector bundles and p-adic representations I (2008) (0)
1 Line bundles and p-adic characters (0)
Exchanging the places p and infinity in the Leopoldt conjecture (2002) (0)
Primes, knots and periodic orbits (2023) (0)
p-adic limits of renormalized logarithmic Euler characteristics (2018) (0)
On the d-invariant of compact solvmanifolds. (1985) (0)
Some ideas on dynamical systems and the Riemann zeta function (0)
Abstracts of Lectures Moduli 2007 September 3 -7, Hokkaido University (2007) (0)
Dedicated to Yuri Ivanovich Manin (2008) (0)
N ov 2 01 1 Regulators , entropy and infinite determinants (2021) (0)
Dynamical Systems and Arithmetic Geometry (2007) (0)

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