Dieter Kotschick

Q: What Schools Are Affiliated With Dieter Kotschick

Dieter Kotschick is affiliated with the following schools: University of California, Berkeley, University of Oxford, Ludwig Maximilian University of Munich, University of Basel, University of Geneva, University of Bonn, Heidelberg University

Dieter Kotschick's AcademicInfluence.com Rankings

Dieter Kotschick

Mathematics

#1509

World Rank

#2459

Historical Rank

Algebraic Topology

#20

World Rank

#26

Historical Rank

Measure Theory

#3678

World Rank

#4340

Historical Rank

mathematics Degrees

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Mathematics

Dieter Kotschick's Degrees

PhD Mathematics University of California, Berkeley

Why Is Dieter Kotschick Influential?

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According to Wikipedia, Dieter Kotschick is a German mathematician, specializing in differential geometry and topology. Biography At age fifteen, Kotschick moved from Transylvania to Germany. He first studied at Heidelberg University and then at the University of Bonn. He received his doctorate from the University of Oxford in 1989 under the supervision of Simon Donaldson with thesis On the geometry of certain 4-manifolds and held postdoctoral positions at Princeton University and the University of Cambridge. He became a professor at the University of Basel in 1991 and a professor at the Ludwig Maximilian University of Munich in 1998. Kotschick has been a member of the Institute for Advanced Study three times . In 2012 he was elected a Fellow of the American Mathematical Society.

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Dieter Kotschick'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

Floer Homology Groups in Yang-Mills Theory (2002) (271)
So(3)-Invariants for 4-Manifolds with b+2 = 1 (1991) (95)
On products of harmonic forms (2000) (76)
The Seiberg-Witten invariants of symplectic four-manifolds (1996) (69)
Four-manifolds without symplectic structures but with nontrivial Seiberg-Witten invariants (1995) (68)
Bounded cohomology and non-uniform perfection of mapping class groups (2000) (67)
Signatures, monopoles and mapping class groups (1998) (54)
Orientations and Geometrisations of Compact Complex Surfaces (1997) (46)
On formality of generalized symmetric spaces (2001) (44)
Signatures of foliated surface bundles and the symplectomorphism groups of surfaces (2003) (43)
Quasi-homomorphisms and stable lengths in mapping class groups (2003) (40)
Commutators, Lefschetz fibrations and the signatures of surface bundles ☆ (2001) (39)
Fundamental classes not representable by products (2008) (39)
Minimality and irreducibility of symplectic four-manifolds (2005) (36)
The deformation theory of anti-self-dual conformal structures (1992) (34)
On manifolds homeomorphic to ...P2#8... . (1989) (33)
The geometry of symplectic pairs (2004) (32)
Einstein metrics and smooth structures (1998) (32)
a Quasi-morphism ? (2003) (30)
On three-manifolds dominated by circle bundles (2012) (28)
Fibrations and fundamental groups of Kaehler-Weyl manifolds (2008) (28)
Moser stability for locally conformally symplectic structures (2008) (27)
Contact pairs and locally conformally symplectic structures (2010) (26)
Stable length in stable groups (2008) (25)
On manifolds homeomorphic to $$\mathbb{C}P^2 \# 8\overline {\mathbb{C}P} ^2 $$ (1989) (25)
CHERN NUMBERS AND THE GEOMETRY OF PARTIAL FLAG MANIFOLDS (2007) (25)
Clustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality (2002) (25)
${\rm SO}(3)$-invariants for 4-manifolds with $b\sp +\sb 2=1$. II (1994) (24)
Topologically invariant Chern numbers of projective varieties (2009) (24)
On regularly fibered complex surfaces (1999) (24)
Remarks on geometric structures on compact complex surfaces (1992) (24)
Geometric formality of homogeneous spaces and of biquotients (2009) (23)
The Hodge ring of Kähler manifolds (2012) (22)
Topology, Geometry and Field Theory (1994) (22)
On the simplicial volumes of fiber bundles (1999) (22)
Dissolving four-manifolds and positive scalar curvature (2003) (21)
Stability theorems for symplectic and contact pairs (2004) (21)
Crossed flux homomorphisms and vanishing theorems for Flux groups (2005) (19)
Cycles, submanifolds, and structures on normal bundles (2000) (19)
Orientation-reversing homeomorphisms in surface geography (1992) (19)
COARSE TOPOLOGY, ENLARGEABILITY, AND ESSENTIALNESS (2007) (18)
Characteristic numbers of algebraic varieties (2009) (18)
The Geometry of Recursion Operators (2007) (17)
Geometric formality and non-negative scalar curvature (2012) (17)
Free circle actions with contractible orbits on symplectic manifolds (2004) (16)
On the signature and Euler characteristic of certain four-manifolds (1993) (16)
On connected sum decompositions of algebraic surfaces and their fundamental groups (1993) (16)
On the Gromov-Hitchin-Thorpe inequality (1998) (16)
Einstein metrics and the number of smooth structures on a four-manifold (2003) (16)
Entropies, Volumes, and Einstein Metrics (2004) (16)
Godbillon-Vey invariants for families of foliations (2001) (15)
The Gelfand-Kalinin-Fuks class and characteristic classes of transversely symplectic foliations (2009) (15)
On irreducible four--manifolds (1995) (15)
Three-manifolds and Kähler groups (2010) (15)
Characteristic classes of foliated surface bundles with area-preserving holonomy (2004) (15)
Chern numbers and diffeomorphism types of projective varieties (2007) (14)
An integrability theorem for almost Kähler 4-manifolds (1999) (14)
Monopole classes and Einstein metrics (2003) (13)
All Fundamental Groups are almost Complex (1992) (12)
MONOPOLE CLASSES AND PERELMAN'S INVARIANT OF FOUR-MANIFOLDS (2006) (12)
The deficiencies of Kähler groups (2012) (12)
Linking numbers of measured foliations (2001) (11)
Groups not presentable by products (2010) (11)
Non-Abelian Hodge theory (1996) (10)
Moduli of Vector Bundles with Odd c 1 on Surfaces with q = p g = 0 (1992) (9)
Embedded surfaces in four-manifolds, branched covers, and SO(3)-invariants (1995) (9)
The Topology and Combinatorics of Soccer Balls (2006) (9)
Groups of diffeomorphisms : in honor of Shigeyuki Morita on the occasion of his 60th birthday (2008) (9)
On hyperbolic cohomology classes (2008) (9)
Holomorphic one-forms, fibrations over the circle, and characteristic numbers of Kähler manifolds (2021) (8)
Kählerian three-manifold groups (2013) (8)
Failure of separation by quasi-homomorphisms in mapping class groups (2006) (8)
ON THE PLURICANONICAL MAPS OF GODEAUX AND CAMPEDELLI SURFACES (1994) (8)
Minimizing Euler characteristics of symplectic four-manifolds (2005) (8)
On stability of non-domination under taking products (2015) (7)
Updates on Hirzebruch's 1954 Problem List (2013) (7)
Contact Structures, Foliations, and the Fundamental Group (1994) (7)
Gauge Theory Is Dead ! — Long Live Gauge Theory ! (1999) (6)
Pontryagin numbers and nonnegative curvature (2009) (6)
Non–trivial harmonic spinors on generic algebraic surfaces (1995) (6)
Instanton invariants of ℂP2 via topology (1995) (5)
Engel structures and weakly hyperbolic flows on four-manifolds (2016) (5)
All Fundamental Groups are almost Contact (1992) (4)
Presentability by products for some classes of groups (2014) (4)
THE CLASSIFICATION OF FOOTBALL PATTERNS (2006) (4)
The complex geometry of two exceptional flag manifolds (2019) (3)
Lifts of projective bundles and applications to string manifolds (2020) (2)
On the blowups of numerical Godeaux surfaces (1995) (1)
Floer homology groups in Yang–Mills theory: The Floer homology groups (2002) (1)
cohomology of Kähler groups (1996) (1)
The Topology and Combinatorics of Soccer Balls When mathematicians think about soccer balls, the number of possible designs quickly multiplies (2016) (1)
Geometry , and Dynamics Groups not presentable by products (2013) (1)
Sasaki structures distinguished by their basic Hodge numbers (2021) (1)
On regularly bered complex surfaces (1999) (1)
Mini-Workshop: Kähler Groups (2014) (0)
Positive results for infinite groups (1996) (0)
Floer homology groups in Yang–Mills theory: Basic material (2002) (0)
Some examples of aspherical symplectic four-manifolds (2000) (0)
On the monotonicity of amenable category (2021) (0)
Stable indecomposability of three-manifolds (2019) (0)
A pr 2 00 8 ON HOMOLOGY CLASSES NOT REPRESENTABLE BY PRODUCTS (0)
QUASI-HOMOMORPHISMS AND LENGTHS IN MAPPING CLASS GROUPS (2004) (0)
Applications of harmonic maps (1996) (0)
Floer homology groups in Yang–Mills theory: Floer homology and 4-manifold invariants (2002) (0)
THE SEIBERG-WITTEN INVARIANTS OF (1996) (0)
Fibering Kähler manifolds and Kähler groups (1996) (0)
Geometry of Low-dimensional Manifolds: The topology of algebraic surfaces with q = Pg = 0 (1991) (0)
N ov 2 00 1 LINKING NUMBERS OF MEASURED FOLIATIONS (2001) (0)
On three-manifolds dominated by circle bundles (2012) (0)
Reducible connections and cup products (2002) (0)
Lagrangian foliations and Anosov symplectomorphisms on Kähler manifolds (2020) (0)
Unbounded Pontryagin numbers on nonnegatively curved spin manifolds (2021) (0)
The de Rham fundamental group (1996) (0)
Sasaki versus K\"ahler groups (2022) (0)
THE SIGNATURES OF SURFACE BUNDLES (2001) (0)
Floer homology groups in Yang–Mills theory: Introduction (2002) (0)
Minimizing Euler characteristic of symplectic four-manifold (2006) (0)
Non-Trivial Harmonic Spinors on Certain Algebraic Surfaces (2020) (0)
Existence theorems for harmonic maps (1996) (0)
Gauge theory and tubular ends (2002) (0)
The complex geometry of two exceptional flag manifolds (2020) (0)
ON HOMOLOGY CLASSES NOT REPRESENTABLE BY PRODUCTS (2008) (0)
Floer homology groups in Yang–Mills theory: Further directions (2002) (0)

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What Schools Are Affiliated With Dieter Kotschick?

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Dieter Kotschick's Degrees

Why Is Dieter Kotschick Influential?

Dieter Kotschick's Published Works

Published Works

Other Resources About Dieter Kotschick

What Schools Are Affiliated With Dieter Kotschick?

Dieter Kotschick's AcademicInfluence.com Rankings