2026 Helmut Hofer: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	53	895	764	430	345	121	12041

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

895

764

430

345

121

12041

Research.com Recognitions

2020 - Fellow of the American Academy of Arts and Sciences
2013 - Fellow of the American Mathematical Society
2008 - Member of Academia Europaea
2008 - Member of the National Academy of Sciences

Overview

Helmut Hofer is affiliated with the Institute for Advanced Study in the United States. Their academic work primarily focuses on the field of Mathematics, with a concentration on several subfields including Geometry and Topology, Mathematical Physics, and Algebra and Number Theory.

The scientist's research encompasses a variety of topics, notably:

Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Geometric and Algebraic Topology
Diamond and Carbon-based Materials Research
Algebraic structures and combinatorial models
High-pressure geophysics and materials
Geometry and complex manifolds

Helmut Hofer has contributed to the academic community through publications in several venues, including:

Zeitschrift für Gastroenterologie
Journal of Physics Conference Series
Oberwolfach Reports
Ergebnisse der Mathematik und ihrer Grenzgebiete
Journal of Applied Physics

Their recent papers include:

Polyfold and Fredholm Theory, 2021, Ergebnisse der Mathematik und ihrer Grenzgebiete
Bright single-photon emission from a GeV center in diamond under a microfabricated solid immersion lens at room temperature, 2023, Journal of Applied Physics
Feral curves and minimal sets, 2023, Annals of Mathematics
Almost existence from the feral perspective and some questions, 2021, Ergodic Theory and Dynamical Systems
Comparison of back focal plane imaging of nitrogen vacancy centers in nanodiamond and core-shell CdSe/CdS quantum dots, 2022, Journal of Physics Conference Series

Frequent collaborators include Krzysztof Wysocki, Eduard Zehnder, Justus Christinck, S. Kück, and Georg Semmler. These coauthors have worked with Helmut Hofer on various projects, contributing to the volume and diversity of the scientist's publications.

The scientist's career includes recognition through several awards and memberships, such as:

Fellow of the American Academy of Arts and Sciences (2020)
Fellow of the American Mathematical Society (2013)
Member of Academia Europaea (2008)
Member of the National Academy of Sciences (2008)

Best Publications

Symplectic Invariants and Hamiltonian Dynamics

Helmut Hofer;Eduard Zehnder

1066
Citations
Introduction to Symplectic Field Theory

Yakov Eliashberg;Alexander Givental;Helmut Hofer

868
Citations
Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three.

H. Hofer

736
Citations
Compactness results in Symplectic Field Theory

Frédéric Bourgeois;Yakov Eliashberg;Helmut Hofer;Krzysztof Wysocki

674
Citations
On the topological properties of symplectic maps

H. Hofer

556
Citations
Transversality in elliptic Morse theory for the symplectic action

Andreas Floer;Helmut Hofer;Dietmar Salamon

444
Citations
Floer homology and Novikov rings

Helmut Hofer;Dietmar A. Salamon

432
Citations
The dynamics on three-dimensional strictly convex energy surfaces

Helmut Hofer;Krzysztof Wysocki;Eduard Zehnder

404
Citations
Symplectic topology and Hamiltonian dynamics

Ivar Ekeland;Helmut Hofer

380
Citations
Coherent orientations for periodic orbit problems in symplectic geometry

A. Floer;H. Hofer

335
Citations
Finite energy foliations of tight three-spheres and Hamiltonian dynamics

Helmut Hofer;Kris Wysocki;Eduard Zehnder

287
Citations
Symplectic homology II. A general construction.

K. Cieliebak;A. Floer;H. Hofer

282
Citations
Variational and Topological Methods in Partially Ordered Hilbert Spaces.

Helmut Hofer

269
Citations
On genericity for holomorphic curves in four-dimensional almost-complex manifolds

Helmut Hofer;Véronique Lizan;Jean-Claude Sikorav

252
Citations
Properties of pseudoholomorphic curves in symplectisations. I : asymptotics

H. Hofer;K. Wysocki;E. Zehnder

242
Citations
The weinstein conjecture in the presence of holomorphic spheres

H. Hofer;C. Viterbo

202
Citations
Convex Hamiltonian energy surfaces and their periodic trajectories

I. Ekeland;H. Hofer

187
Citations
Properties of Pseudo-Holomorphic Curves in Symplectisations II: Embedding Controls and Algebraic Invariants

H. Hofer;K. Wysocki;E. Zehnder

187
Citations
Symplectic homology I open sets in ℂn

Unknown

176
Citations
First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems

H. Hofer;K. Wysocki

168
Citations
Applications of symplectic homology II: Stability of the action spectrum.

K. Cieliebak;A. Floer;H. Hofer;K. Wysocki

168
Citations

Frequent Co-Authors

Ivar Ekeland University of British Columbia

Yakov Eliashberg Stanford University

Dietmar Salamon ETH Zurich

John Toland University of Bath

Edward Witten Institute for Advanced Study

Vieri Benci University of Pisa

Paul H. Rabinowitz University of Wisconsin–Madison

Serge Tabachnikov Pennsylvania State University

External Links

Wikipedia of Helmut Hofer Personal website of Helmut Hofer Google Scholar page

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