Helmut Hofer

Q: What Schools Are Affiliated With Helmut Hofer

Helmut Hofer is affiliated with the following schools: University of California, Berkeley, Rutgers University, ETH Zurich, University of California, San Diego, Ruhr University Bochum, New York University, University of Zurich

Helmut Hofer's AcademicInfluence.com Rankings

Helmut Hofer

Mathematics

#689

World Rank

#1268

Historical Rank

Measure Theory

#1858

World Rank

#2270

Historical Rank

mathematics Degrees

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Mathematics

Helmut Hofer's Degrees

PhD Mathematics University of California, Berkeley

Why Is Helmut Hofer Influential?

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According to Wikipedia, Helmut Hermann W. Hofer is a German-American mathematician, one of the founders of the area of symplectic topology. He is a member of the National Academy of Sciences, and the recipient of the 1999 Ostrowski Prize and the 2013 Heinz Hopf Prize. Since 2009, he is a faculty member at the Institute for Advanced Study in Princeton, New Jersey. He currently works on symplectic geometry, dynamical systems, and partial differential equations. His contributions to the field include Hofer geometry. Hofer was elected to the American Academy of Arts and Sciences in 2020.

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Helmut Hofer'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

Symplectic Invariants and Hamiltonian Dynamics (1994) (866)
Introduction to Symplectic Field Theory (2000) (765)
Compactness results in Symplectic Field Theory (2003) (501)
Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three (1993) (444)
On the topological properties of symplectic maps (1990) (347)
Transversality in elliptic Morse theory for the symplectic action (1995) (331)
Floer homology and Novikov rings (1995) (301)
Symplectic topology and Hamiltonian dynamics (1989) (267)
The dynamics on three-dimensional strictly convex energy surfaces (1998) (250)
Coherent orientations for periodic orbit problems in symplectic geometry (1993) (208)
Finite energy foliations of tight three-spheres and Hamiltonian dynamics (2003) (183)
Variational and topological methods in partially ordered Hilbert spaces (1982) (179)
On genericity for holomorphic curves in four-dimensional almost-complex manifolds (1997) (165)
Properties of pseudo-holomorphic curves in symplectisations II: Embedding controls and algebraic invariants (1995) (153)
Symplectic homology I open sets in ℂn (1994) (152)
Properties of pseudoholomorphic curves in symplectisations. I : asymptotics (1996) (152)
First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems (1990) (134)
The weinstein conjecture in the presence of holomorphic spheres (1992) (132)
A general Fredholm theory I: A splicing-based differential geometry (2006) (129)
Properties of Pseudoholomorphic Curves in Symplectisations Iv: Asymptotics with Degeneracies (1996) (122)
Convex Hamiltonian energy surfaces and their periodic trajectories (1987) (122)
Applications of symplectic homology I (1994) (120)
A New Capacity for Symplectic Manifolds (1990) (120)
Applications of Polyfold Theory I: The Polyfolds of Gromov-Witten Theory (2011) (113)
Properties of Pseudoholomorphic Curves in Symplectizations III: Fredholm Theory (1999) (112)
A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain‐Pass Theorem (1985) (109)
Applications of symplectic homology II: Stability of the action spectrum (1996) (100)
A General Fredholm Theory II: Implicit Function Theorems (2007) (99)
Periodic solutions on hypersurfaces and a result by C. Viterbo (1987) (98)
Periodic solutions with prescribed minimal period for convex autonomous hamiltonian systems (1985) (96)
Syplectic topology and Hamiltonian dynamics II (1990) (95)
Regional Per Capita Income Convergence in Austria (1997) (94)
The Weinstein conjecture in cotangent bundles and related results (1988) (91)
Symplectic homology II (1995) (89)
Lagrangian embeddings and critical point theory (1985) (88)
Lusternik-Schnirelman-theory for Lagrangian intersections (1988) (87)
The Floer Memorial Volume (2011) (86)
The dynamic effects of aggregate supply and demand disturbances: further evidence (2000) (84)
A NOTE ON THE TOPOLOGICAL DEGREE AT A CRITICAL POINT OF MOUNTAINPASS-TYPE (1984) (82)
THE WEINSTEIN CONJECTURE FOR PLANAR CONTACT STRUCTURES IN DIMENSION THREE (2004) (75)
A general Fredholm theory III: Fredholm functors and polyfolds (2008) (72)
A characterisation of the tight three-sphere (1995) (70)
Why are Mothers Working Longer Hours in Austria than in Germany? A Comparative Micro Simulation Analysis (2007) (69)
Lagrangian intersections in Contact geometry (1995) (67)
A General Fredholm Theory and Applications (2005) (66)
Sc-Smoothness, Retractions and New Models for Smooth Spaces (2010) (64)
Estimates for the energy of a symplectic map (1993) (64)
Quantitative symplectic geometry (2005) (56)
Integration theory on the zero sets of polyfold Fredholm sections (2007) (56)
The Weinstein conjecture inP×C1 (1990) (56)
First Steps Towards a Symplectic Dynamics (2011) (54)
Labor supply effects of a subsidized old-age part-time scheme in Austria (2011) (50)
Subharmonics for convex nonautonomous Hamiltonian systems (1987) (50)
Are Job Search Programs a Promising Tool? A Microeconometric Evaluation for Austria (2004) (49)
Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems (1984) (47)
On the Weinstein conjecture in higher dimensions (2007) (45)
Global Surfaces of Section in the Planar Restricted 3-Body Problem (2011) (43)
Polyfold and Fredholm Theory (2014) (41)
Wage and Mobility Effects of Trade and Migration on the Austrian Labour Market (2001) (39)
Wage Mobility in Austria 1986-1996 (2002) (38)
Holomorphic Curves and Real Three-Dimensional Dynamics (2000) (38)
Social security and retirement incentives in Austria (2006) (37)
On strongly indefinite functionals with applications (1983) (36)
Finite energy cylinders of small area (2002) (35)
UNKNOTTED PERIODIC ORBITS FOR REEB FLOWS ON THE THREE-SPHERE (1996) (34)
Two symplectic fixed-point theorems with applications to Hamiltonian dynamics (1989) (33)
A Hamiltonian characterization of the three-ball (1994) (31)
Polyfolds And A General Fredholm Theory (2008) (30)
Wage differences between Austrian men and women: semper idem? (2007) (30)
A characterization of the tight 3‐sphere II (1999) (30)
Price and quantity adjustments in the Austrian labour market (2001) (28)
Wage Discrimination Against Immigrants in Austria? (2017) (28)
Holomorphic curves and dynamics in dimension three (2006) (25)
Correction to “Properties of pseudoholomorphic curves in symplectisations I: Asymptotics” (1998) (24)
Employment Effects of Early Interventions on Job Search Programs (2004) (24)
On the range of a wave operator with nonmonotone nonlinearity (1982) (24)
Dynamics, topology and holomorphic curves. (1998) (23)
Polyfold and Fredholm Theory I: Basic Theory in M-Polyfolds (2014) (22)
Symplectic Topology and Hamiitonian Dynamics II (1990) (22)
Holomorphic curves in contact dynamics (1999) (22)
Longitudinal Data from Social Security Records in Austria (2003) (18)
Holomorphic Curves and Global Questions in Contact Geometry (2019) (17)
The Severance Pay Reform in Austria ("Abfertigung neu") (2007) (16)
Wage Differences between Men and Women in Austria: Evidence from 1983 and 1997 (2005) (16)
Pseudoholomorphic curves and dynamics in three dimensions (2001) (15)
Labour market effects of apprenticeship training in Austria (2004) (14)
The asymptotic behavior of a finite energy plane (2001) (12)
Lectures on Polyfolds and Symplectic Field Theory (2018) (11)
A REMARK ON A PRIORI BOUNDS AND EXISTENCE FOR PERIODIC SOLUTIONS OF HAMILTONIAN SYSTEMS (1987) (11)
Determinants for the transition from work into retirement in Europe (2015) (11)
Determinants of the Transition from Work into Retirement (2013) (10)
Towards the definition of symplectic boundary (1992) (10)
Active Labor Market Policy in Austria: Practice and Evaluation Results (2006) (9)
Basic Results (2019) (9)
A multiplicity result for a class of nonlinear problems with application to a nonlinear wave equation (1981) (8)
Free oscillations of prescribed energy at a saddle-point of the potential in Hamiltonian dynamics (1985) (7)
A Long-run Macroeconomic Model of the Austrian Economy (A-LMM). Model Documentation and Simulations (2004) (7)
Correction to “A characterisation of the tight three-sphere” (1997) (6)
Reform of Severance Pay Law in Austria Discussion Paper (2007) (6)
Growth Effects of Age-related Productivity Differentials in an Ageing Society: A Simulation Study for Austria (2005) (5)
Feral curves and minimal sets (2018) (5)
Employment and growth in an aging society: a simulation study for Austria (2006) (5)
Symplectic Geometry: An energy–capacity inequality for the symplectic holonomy of hypersurfaces flat at infinity (1994) (5)
Labour Supply Effects of a Subsidised Old-Age Part-Time Scheme in Austria (2009) (5)
Polyfold and SFT Notes I: A Primer on Polyfolds and Construction Tools. (2018) (4)
Assessing the Lisbon Strategy 2005-2010 and Estimating Expected Effects from Reaching the EU 2020 Goals: Endbericht ; Studie im Auftrag des Bundeskanzleramtes und des Bundesministeriums für Wirtschaft, Familie und Jugend (2010) (4)
Employment and Wage Adjustment in Euroland's Labour Market (1999) (4)
A Strong Form of the Mountain Pass Theorem and Application (1988) (4)
Existence and multiplicity result for a class of second order elliptic equations (1981) (4)
Geometry of Low-dimensional Manifolds: Symplectic capacities (1991) (4)
UEG Week 2016 Poster Presentations (2016) (4)
The Impact of EU Eastward Enlargement on Wages in the Current Member States with Special Reference to Austria (2002) (3)
Properties of Pseudoholomorphic Curves (2020) (3)
IREA: IHS Microsimulation Model for Retirement Behaviour in Austria ; Final Report ; Funded by the European Commission (DG EMPL-Progress) (2012) (3)
A Note on Automatic Stabilizers in Austria: Evidence from ITABENA (2012) (3)
Exhaustive Gromov compactness for pseudoholomorphic curves (2018) (3)
Arnold and symplectic geometry (2014) (3)
Polyfold and SFT Notes II: Local-Local M-Polyfold Constructions (2018) (3)
Almost existence from the feral perspective and some questions (2020) (3)
GLOBAL AND LOCAL INVARIANTS FOR CONVEX ENERGY SURFACES AND THEIR PERIODIC TRAJECTORIES: A SURVEY (1987) (2)
Practice and Prospects of Medium-term Economic Forecasting (2010) (2)
Chapter 15 Pseudoholomorphic curves and dynamics in three dimensions (2002) (2)
Country Employment Policy Reviews: Austria (1999) (2)
Pseudoholomorphic Curves And Dynamics (1997) (2)
A Long-run Macroeconomic Model of the Austrian Economy (A-LMM). New Results (2014) (2013) (2)
How Incompatible Worldviews Can Coexist (2014) (1)
Evaluation of the Austrian National Reform Programme: An update with a special focus on employment, liberal professions and international competition - Final Report ; Study on behalf of the Austrian Federal Ministry of Economics and Labour (BMWA) (2007) (1)
Evaluation of the Austrian National Reform Programme: Effects on Growth and Employment - Final Report ; Study on behalf of the Austrian Ministry of Economics and Labour (BMWA) (2006) (1)
Aging, Immigration and the Welfare State in Austria: Final Report ; Study on behalf of the OeNB (2012) (1)
European Economic Integration of Bosnia and Herzegovina: Development of a Decision Support System - Final Report ; Research on this project has been financially supported by the Jubiläumsfonds of the Austrian National Bank (project number 12823) (2009) (1)
Computer Use and the Wage Structure in Austria (2003) (1)
A comparative micro simulation analysis (2007) (1)
Book review: Engineering mathematics; an engineering approach (3rd ed) (1998) (0)
Equivalences and Localization (2021) (0)
Fredholm Theory in Polyfolds (2021) (0)
Dedication (2019) (0)
Dedication (2018) (0)
Book Review: The Floer Memorial Volume (Progress in Mathematics Vo.133) (MATTHIAS SCHWARZ) (1996) (0)
Montenegro Functional Review: Efficiency Analysis of the Employment Agency of Montenegro – 2014-2016 (2018) (0)
Book review: Mathematik für Ingenieure (1997) (0)
Comments on the Presentations on “Tapping the Employment Potential” (2006) (0)
A variational approach to a class of resonance problems with application to a wave equation problem (1981) (0)
Geometry of compactly supported symplectic mappings in ℝ2n (2011) (0)
Global Surfaces of Section in the Planar Restricted 3-Body Problem (2011) (0)
Bosnia and Herzegovina Functional Review: Efficiency Analysis of the Employment Agency of Bosnia and Herzegovina – 2016 (2018) (0)
The Dynamic Effects of Aggregate Demand and Supply Disturbances: Further Evidence (1993) (0)
Dedication (2019) (0)
Intersection Theory for Pseudoholomorphic Disks (2019) (0)
Vision Austria 2050. Advancement through education, research and innovation. (2015) (0)
Finite Energy Planes and Periodic Orbits (2019) (0)
Transversality and Invariants (2021) (0)
Book Review: Morse homology (1995) (0)
Book review: Chaos met de computer (1997) (0)
Sc+-Multisections (2021) (0)
Long-term success through social partnership (1999) (0)
Sc-Calculus (2021) (0)
Regional Convergence in Austria (1993) (0)
INTEGRATION ON THE ZERO SETS OF POLYFOLD FREDHOLM SECTIONS (2008) (0)
Retracts (2021) (0)
Bundles and Covering Functors (2021) (0)
Geometry up to Equivalences (2021) (0)
The Arnold conjecture, Floer homology and symplectic homology (1994) (0)
Branched Ep+-Subgroupoids (2021) (0)
Symplectic Geometry from a Dynamical Systems Point of View (0)
Disk Filling Methods and Applications (2019) (0)
Ep-Groupoids (2021) (0)
Memories of Vladimir Arnold (2012) (0)
ON STRONGLY INDEFINITE FUNCTIONALS (2009) (0)
General Constructions (2021) (0)
Existence of a capacity (2011) (0)
Extension of Sc+-Multisections (2021) (0)
The Fredholm Package for M-Polyfolds (2021) (0)
Lagrangian intersections in contact geometry (First draft) (2007) (0)
Existence of closed characteristics (2011) (0)
Manifolds and Strong Retracts (2021) (0)
Serbia Functional Review: Efficiency Analysis of the National Employment Service (2016) (0)
52 Austria : Long-term success through social partnership (2000) (0)
Schedule of talks (2016) (0)
Local Existence and Global Uniqueness Results (2019) (0)
Some Evidence on the Relevance of the Chain-reaction Theory in Selected Countries (2007) (0)
Polyfold Theory for Categories (2021) (0)
Bubbling-off in Families of Pseudoholomorphic Disks (2019) (0)
Macedonia Functional Review: Efficiency Analysis of the Employment Agency of the Republic of Macedonia – 2012-2016 (2018) (0)
SOCIÉTÉ MATHÉMATIQUE DE FRANCE (2020) (0)
Existence and multiplicity result for a class of second order elliptic equations Helmut (2010) (0)
Surfaces in Three Dimensional Contact Manifolds (2019) (0)
An Introduction to Contact Geometry (2019) (0)
Basic Sc-Fredholm Theory (2021) (0)
Sc-Fredholm Sections (2021) (0)
Orientations (2021) (0)
Study on the effects and incidence of labour taxation; Final Report; Study on behalf of the European Commission, TAXUD; CPB in consortium with: CAPP, CASE, CEPII, ETLA, IFO, IFS, IHS. (2015) (0)

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What Schools Are Affiliated With Helmut Hofer?

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