Dietmar Salamon | Academic Influence

Dietmar Salamon's AcademicInfluence.com Rankings

Dietmar Salamon

Mathematics

#1596

World Rank

#2588

Historical Rank

Group Theory

#105

World Rank

#131

Historical Rank

Algebra

#188

World Rank

#285

Historical Rank

Number Theory

#227

World Rank

#291

Historical Rank

mathematics Degrees

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Mathematics

Dietmar Salamon's Degrees

PhD Mathematics University of Bonn
Masters Mathematics University of Bonn
Bachelors Mathematics University of Bonn

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Why Is Dietmar Salamon Influential?

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According to Wikipedia, Dietmar Arno Salamon is a German mathematician. Education and career Salamon studied mathematics at the Leibniz University Hannover. In 1982 he earned his doctorate at the University of Bremen with dissertation On control and observation of neutral systems. He subsequently spent two years as a postdoctoral fellow at the Mathematical Research Center at the University of Wisconsin–Madison, followed by one year at the Mathematical Research Institute at ETH Zurich. In 1986 he became a lecturer at the University of Warwick, where he was appointed full professor in 1994. The summer semester 1988 he spent as a visiting professor at the University of Bremen and the winter semester 1991 at the University of Wisconsin-Madison. From 1998 to 2018 he was a full professor of mathematics at ETH Zurich, retiring as professor emeritus in 2018.

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Dietmar Salamon'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

J-Holomorphic Curves and Symplectic Topology (2004) (1300)
Introduction to Symplectic Topology (1995) (833)
The Maslov index for paths (1993) (568)
J-Holomorphic Curves and Quantum Cohomology (1994) (534)
Morse theory for periodic solutions of hamiltonian systems and the maslov index (1992) (490)
Infinite Dimensional Linear Systems with Unbounded Control and Observation: A Functional Analytic Approach. (1987) (389)
The Spectral Flow and the Maslov Index (1995) (375)
Transversality in elliptic Morse theory for the symplectic action (1995) (331)
Lectures on Floer homology (2006) (306)
Floer homology and Novikov rings (1995) (301)
Symplectic Floer-Donaldson theory and quantum cohomology (1996) (279)
CONNECTED SIMPLE SYSTEMS AND THE CONLEY INDEX OF ISOLATED INVARIANT SETS (1985) (255)
On control and observation of neutral systems (1982) (238)
Self-dual instantons and holomorphic curves (1994) (222)
The linear quadratic control problem for infinite dimensional systems with unbounded input and outpu (1987) (206)
Dynamical systems, shape theory and the Conley index (1988) (195)
INTRODUCTION TO DIFFERENTIAL GEOMETRY (2011) (191)
Morse theory, the Conley index and Floer homology (1990) (190)
Floer Homology and the Heat Flow (2003) (154)
J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions (1999) (132)
The symplectic vortex equations and invariants of Hamiltonian group actions (2001) (132)
KAM theory in configuration space (1989) (125)
Propagation in Hamiltonian dynamics and relative symplectic homology (2001) (105)
The Linear-Quadratic Control Problem for Retarded Systems with Delays in Control and Observation (1985) (102)
Realization theory in Hilbert space (1988) (101)
Corrigendum: Gromov-Witten invariants of symplectic quotients and adiabatic limits (2001) (100)
Observers and duality between observation and state feedback for time delay systems (1980) (74)
Lagrangian intersections in Contact geometry (1995) (67)
The plastikstufe – a generalization of the overtwisted disk to higher dimensions (2006) (67)
On controllability and observability of time delay systems (1984) (66)
Asymptotic behaviour of holomorphic strips (2001) (61)
Finite dimensional compensators for infinite dimensional systems with unbounded input operators (1986) (60)
An approximation theorem for the algebraic Riccati equation (1990) (59)
Instanton homology and symplectic xed points (1992) (58)
Spline approximation for retarded systems and the Riccati equation (1987) (58)
Gromov–Witten invariants (1994) (57)
Equivariant moduli problems, branched manifolds, and the Euler class (2003) (56)
Kolmogorov–Arnold–Moser theorem (2019) (56)
SPIN GEOMETRY AND SEIBERG-WITTEN INVARIANTS (2014) (55)
Instanton Floer homology with Lagrangian boundary conditions (2006) (54)
A construction of the Deligne--Mumford orbifold (2004) (54)
Notes on the octonions (2010) (51)
Loops of Lagrangian submanifolds and pseudoholomorphic discs (2000) (48)
Flows on vector bundles and hyperbolic sets (1988) (44)
Lagrangian Intersections, 3-Manifolds with Boundary, and the Atiyah-Floer Conjecture (1995) (44)
A variational interpretation of Melnikov's function and exponentially small separatrix splitting (1994) (44)
Uniqueness of symplectic structures (2012) (42)
Wall crossing for symplectic vortices and quantum cohomology (2002) (34)
Lyapunov maps, simplicial complexes and the Stone functor (1992) (32)
Seiberg-Witten invariants of mapping tori, symplectic ﬁxed points, and Lefschetz numbers (1999) (31)
Structure and Stability of Finite Dimensional Approximations for Functional Differential Equations (1985) (28)
Cauchy-Riemann Operators, Self—Duality, and the Spectral Flow (1994) (24)
Remarks on the uniqueness of symplectic blowing up (1994) (24)
Hypercontact structures and Floer homology (2008) (24)
On the stability properties of spline approximates for retarded systems (1989) (24)
The Moment-Weight Inequality and the Hilbert–Mumford Criterion (2013) (23)
MORSE HOMOLOGY (Progress in Mathematics 111) (1995) (19)
Feynman path integrals on phase space and the metaplectic representation (1996) (17)
Notes on the octonians (2010) (16)
Notes on flat connections and the loop group (1998) (15)
Quantum products for mapping tori and the Atiyah-Floer conjecture (2000) (13)
A variational approach to approximation of delay systems (1991) (12)
Torus Actions (2021) (12)
Combinatorial Floer Homology (2012) (12)
Phase functions and path integrals (1994) (11)
Observability of nontrivial small solutions for neutral systems (1983) (10)
The exponential Vandermonde matrix (2000) (10)
Floer Homology, the Maslov Index And Periodic Orbits of Hamiltonian Equations (1990) (10)
Lefschetz fibrations, intersection numbers, and representations of the framed braid group (2007) (9)
The three-dimensional Fueter equation and divergence-free frames (2012) (9)
Neutral functional differential equations and semigroups of operators (1983) (8)
Functional Analysis (2018) (8)
Corrigendum: Self-dual instantons and holomorphic curves (2007) (8)
The moduli space of regular stable maps (2008) (8)
Removable singularities and a vanishing theorem for Seiberg-Witten invariants (1995) (8)
Homogeneous quasimorphisms on the symplectic linear group (2007) (7)
Corrigendum: A construction of the Deligne–Mumford orbifold (J. Eur. Math. Soc. 8, 611–699 (2006)) (2007) (7)
HEEGAARD SPLITTINGS AND MORSE-SMALE FLOWS (2003) (7)
Gluing (2021) (6)
Structure theory and duality for time varying retarded functional differential equations (1989) (6)
Finite Dimensional Compensators for Infinite Dimensional Systems with Unbounded Control Action. (1984) (5)
Measure and Integration (2016) (4)
Floer homology groups in hyperkähler geometry (2009) (4)
The Maslov class rigidity and non-existence of Lagrangian embeddings (1994) (4)
Complex structures, moment maps, and the Ricci form (2018) (3)
A survey of symmetric functions, Grassmannians, and representations of the unitary group (1996) (3)
A moment map interpretation of the Ricci form, Kähler--Einstein structures, and Teichmüller spaces (2020) (3)
A duality principle for neutral functional differential equations (1983) (2)
Caustics Dk at points of interface between two media (1994) (2)
Notes on complex Lie groups (2019) (1)
The Viterbo-Maslov Index in Dimension Two (2012) (1)
Symplectic Geometry: Introduction (1994) (1)
The Donaldson geometric flow for symplectic four-manifolds (2015) (1)
Feynman path integrals on phase space and the metaplectic representation (1996) (1)
A product estimate , the parabolic Weyl lemma and applications (2009) (1)
A NOTE ON THE DISTURBANCE DECOUPLING PROBLEM FOR RETARDED-SYSTEMS (1985) (1)
DYNAMIC OBSERVATION AND FEEDBACK STABILIZATION FOR RETARDED SYSTEMS WITH DELAYS IN INPUT AND OUTPUT**Work supported by Forschungsschwerpunkt “Dynamische Systeme“, Universität Bremen. (1983) (1)
The Kempf–Ness Function (2021) (0)
Hypercontact structures and Floer homology S (2009) (0)
Hypercontact structures and Floer homology S (2009) (0)
Compactification of moduli spaces (1994) (0)
The three-dimensional Fueter equation and divergence-free frames (2013) (0)
The Riemann–Roch theorem (2004) (0)
Fredholm index and spectral flow (2006) (0)
Lagrangian intersections in contact geometry (First draft) (2007) (0)
Stability in Algebraic Geometry (2021) (0)
and the Spectral Flow (1994) (0)
Analysis II ( FS 2017 ) (2017) (0)
Rationality (2021) (0)
Foundations (2022) (0)
The Hilbert–Mumford Criterion (2021) (0)
Novikov rings and Calabi-Yau manifolds (1994) (0)
Stable curves of genus zero (2004) (0)
What Is Differential Geometry? (2022) (0)
Invitation to the Arbeitsgemeinschaft at Oberwolfach (2007) (0)
Dynamic Observation and Feedback Stabilization for Retarded Systems with Delays in Input and Output (1983) (0)
Corrigenda to: Introduction to Symplectic Topology (1997) (0)
Geodesics (2022) (0)
The Levi-Civita Connection (2022) (0)
A duality theory for abstract boundary control systems (1984) (0)
The Dominant μ-Weight (2021) (0)
The Moment Map Squared (2021) (0)
Lectures on Floer Homology Contents 1 Symplectic Xed Points and Morse Theory 3 (1997) (0)
Topics in Geometry (2022) (0)
M ay 2 01 0 Notes on the octonians (2010) (0)
Floer Homology for Mapping Cylinders (1992) (0)
2 4 A pr 2 00 3 Floer homology and the heat flow (2003) (0)
Applications in symplectic topology (2004) (0)
Singularities and intersections (written with Laurent Lazzarini) (2004) (0)
Notes on compact Lie groups (2013) (0)
Evaluation maps and transversality (1994) (0)
Introduction (2021) (0)
Moduli spaces of stable maps (2004) (0)
Curvature (2018) (0)
Loops of Lagrangian submanifoldsand pseudoholomorphi dis (2000) (0)
Critical Orbits (2021) (0)
Observability of neutral systems nontrivial small solutions for (1983) (0)
An abstract framework for infinite dimensional systems with unbounded control and observation (1985) (0)
Erratum : Self-dual instantons and holomorphic curves (2002) (0)
Stability in Symplectic Geometry (2021) (0)
Uniqueness of symplectic structures (2013) (0)
Examples (2021) (0)
ERRATA FOR INTRODUCTION TO SYMPLECTIC TOPOLOGY (2004) (0)
Moduli spaces and transversality (1994) (0)
Symplectic Topology Example Sheet 3 (2013) (0)
MORSE INEQUALITIES AND ZETA FUNCTIONS (2007) (0)
ERRATA FOR J-HOLOMORPHIC CURVES AND SYMPLECTIC TOPOLOGY (2004) (0)
M ar 2 00 0 Loops of Lagrangian submanifolds and pseudoholomorphic discs (2000) (0)
μ-Weights (2021) (0)
The Moment-Weight Inequality (2021) (0)
Approximation of the algebraic Riccati operator equation (1988) (0)
The Moment Map (2021) (0)

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