Michael Hutchings

Michael Hutchings 's AcademicInfluence.com Rankings

Michael Hutchings

Mathematics

#1083

World Rank

#1842

Historical Rank

#470

USA Rank

Measure Theory

#1196

World Rank

#1522

Historical Rank

#433

USA Rank

mathematics Degrees

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Mathematics

Why Is Michael Hutchings Influential?

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According to Wikipedia, Michael Lounsbery Hutchings is an American mathematician, a professor of mathematics at the University of California, Berkeley. He is known for proving the double bubble conjecture on the shape of two-chambered soap bubbles, and for his work on circle-valued Morse theory and on embedded contact homology, which he defined.

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Michael Hutchings '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

An index inequality for embedded pseudoholomorphic curves in symplectizations (2001) (138)
Gluing pseudoholomorphic curves along branched covered cylinders II (2007) (135)
Quantitative embedded contact homology (2010) (133)
Lecture Notes on Embedded Contact Homology (2013) (109)
From one Reeb orbit to two (2012) (98)
The Weinstein conjecture for stable Hamiltonian structures (2008) (89)
The embedded contact homology index revisited (2008) (82)
Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of 3-manifolds (1996) (81)
The Isoperimetric Problem on Surfaces (1999) (78)
Circle-valued Morse theory and Reidemeister torsion (1997) (74)
Rounding corners of polygons and the embedded contact homology of T 3 (2004) (69)
The asymptotics of ECH capacities (2012) (67)
Proof of the Arnold chord conjecture in three dimensions, II (2010) (65)
The double bubble conjecture (1995) (60)
Symplectic capacities from positive S1–equivariant symplectic homology (2017) (56)
Symplectic embeddings into four‐dimensional concave toric domains (2013) (55)
Reidemeister torsion in generalized Morse theory (1999) (55)
The isoperimetric problem on surfaces of revolution of decreasing Gauss curvature (2000) (53)
Proof of the Arnold chord conjecture in three dimensions I (2011) (53)
The periodic Floer homology of a Dehn twist. (2004) (53)
Floer homology of families I (2003) (50)
Algebraic Torsion in Contact Manifolds (2010) (50)
Taubes’s proof of the Weinstein conjecture in dimension three (2009) (46)
Sutures and contact homology I (2010) (43)
The structure of area-minimizing double bubbles (1997) (43)
Torsion contact forms in three dimensions have two or infinitely many Reeb orbits (2017) (43)
Beyond ECH capacities (2014) (41)
Cylindrical contact homology for dynamically convex contact forms in three dimensions (2014) (39)
Embedded contact homology and its applications (2010) (39)
Recent progress on symplectic embedding problems in four dimensions (2011) (39)
Mean action and the Calabi invariant (2015) (30)
Integration of singular braid invariants and graph cohomology (1998) (23)
An introduction to the Seiberg-Witten equations on symplectic manifolds (1997) (20)
ECH capacities and the Ruelle invariant (2019) (16)
Examples around the strong Viterbo conjecture (2020) (15)
The mathematics of Rubik’s Cube (2007) (10)
Contact three-manifolds with exactly two simple Reeb orbits (2021) (6)
Introduction to higher homotopy groups and obstruction theory (2011) (6)
Topological Bifurcations of Attracting 2-Tori of Quasiperiodically Driven Oscillators (2005) (5)
S1$S^1$ ‐equivariant contact homology for hypertight contact forms (2019) (4)
An elementary alternative to ECH capacities (2022) (4)
Cup product and intersections (2011) (4)
Consumer Interest in Competition Law Cases (2006) (4)
Axiomatic S1 Morse–Bott theory (2017) (3)
Computing Reeb dynamics on 4d convex polytopes (2020) (2)
Computing Reeb dynamics on four-dimensional convex polytopes (2021) (2)
Cup product and intersection (2005) (2)
PFH spectral invariants and $C^\infty$ closing lemmas (2021) (1)
Current competition law (2004) (1)
A pr 2 00 0 Reidemeister torsion in generalized Morse theory (2000) (1)
The Reign of MARY TUDOR a Reassessment (1999) (0)
Braid stability for periodic orbits of area-preserving surface diffeomorphisms (2023) (0)
SG ] 6 O ct 2 02 1 PFH spectral invariants and C ∞ closing lemmas (2021) (0)
Journal of Ecology news (2007) (0)
O ct 2 01 9 ECH capacities and the Ruelle invariant (0)
The asymptotics of ECH capacities (2014) (0)
ECH capacities and the Ruelle invariant (2022) (0)
SG ] 5 J an 2 01 4 From one Reeb orbit to two (0)
Competition law yearbook (2003) (0)
Elementary spectral invariants and quantitative closing lemmas for contact three-manifolds (2022) (0)
Current Competition Law: Volume V (2007) (0)
Ju n 19 97 Circle-Valued Morse Theory and Reidemeister Torsion (2009) (0)
2. What to Do When You Are Stuck or Confused on a Research Project by Michael Hutchings (2022) (0)
THE ENTIRE TOWN OF LINCOLNVILLE HARBOR ORDINANCE IS POSTED ON THE TOWN'S WEBSITE: WWW.TOWN.LINCOLNVILLE.ME.US AND IS ALSO ON FILE AT THE LINCOLNVILLE TOWN OFFICE (2012) (0)
SG ] 1 4 M ar 2 01 2 From one Reeb orbit to two Daniel Cristofaro-Gardiner (2012) (0)
Notes for second semester algebraic topology (2005) (0)
Neutrons are critical (1989) (0)
Books Received (2000) (0)
Examples around the strong Viterbo conjecture (2022) (0)
Remedies in EC Law. By Mark Brealey and Mark Hoskins. [Sweet & Maxwell, Second Edition 1998. cxx + 632 pp. ISBN 075200 4697. No price given] (2000) (0)
SG ] 1 F eb 2 02 2 PFH spectral invariants and C ∞ closing lemmas (2022) (0)

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Michael Hutchings 's Academic­Influence.com Rankings