Department of Mathematics
Professional Interests: Pseudo-holomorphic curves, polyfolds, symplectic and contact topology, Hamiltonian dynamics, geometric analysis, restricted three body problem, symplectic field theory.
Recent Publications:
| 2023 | [MR4543440] Feral curves and minimal sets. . Ann. of Math. (2) 197, no. 2, 533--738.. --- Fish, Joel W. ; Hofer, Helmut |
| 2022 | [MR4362909] Almost existence from the feral perspective and some questions . Ergodic Theory Dynam. Systems 42 (2022), no. 2, 792--834. --- Fish, Joel W. ; Hofer, Helmut H. W. |
| 2021 | [MR2898741] Global surfaces of section in the planar restricted 3-body problem . Arch. Ration. Mech. Anal. 204 (2012), no. 1, 273--284. --- Albers, Peter ; Fish, Joel W. ; Frauenfelder, Urs ; Hofer, Helmut ; van Koert, Otto |
| 2020 | [MR4142448] Exhaustive Gromov compactness for pseudoholomorphic curves . Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz. Vol. I. Astérisque 2020, no. 415, 87--112. ISBN: 978-2-85629-916-6. --- Fish, Joel W. ; Hofer, Helmut |
| 2018 | [MR3934240] Connected sums and finite energy foliations I: Contact connected sums . J. Symplectic Geom. 16 (2018), no. 6, 1639--1748. --- Fish, Joel W. ; Siefring, Richard |
| 2016 | [MR3576532] Polyfolds: a first and second look . EMS Surv. Math. Sci. 3 (2016), no. 2, 131--208. --- Fabert, Oliver ; Fish, Joel W. ; Golovko, Roman ; Wehrheim, Katrin |
| 2013 | [MR3021812] The Conley-Zehnder indices of the rotating Kepler problem . Math. Proc. Cambridge Philos. Soc. 154 (2013), no. 2, 243--260. --- Albers, Peter ; Fish, Joel W. ; Frauenfelder, Urs ; van Koert, Otto |
| 2011 | [MR2851214] Estimates for J-curves as submanifolds . Internat. J. Math. 22 (2011), no. 10, 1375--1431. --- Fish, Joel W. |
| [MR2800366] Target-local Gromov compactness . Geom. Topol. 15 (2011), no. 2, 765--826. --- Fish, Joel W. |
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Department of Mathematics University of Massachusetts Boston Phone: 617-287-6460; Fax: 617-287-6433 Information: math@umb.edu |
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