JOHN B. ETNYRE

Department of Mathematics Office: (215) 898-8472
University of Pennsylvania Fax: (215) 573-4063
209 South 33rd Street etnyre@math.upenn.edu
Philadelphia, PA 19104-6395 http://www.math.upenn.edu/~etnyre
Born on April 10, 1968
Calgary, Alberta, Canada (Citizen of USA)
Research Interests
Geometric Topology: knot theory, three and four manifold theory
Differential Geometry: symplectic and contact geometry
Dynamical Systems: fluid dynamics, non-holonomic dynamics
Academic Degrees
UNIVERSITY OF TEXAS, AUSTIN, Ph.D., Mathematics Dec 1996
Advisor: Robert E. Gompf
UNIVERSITY OF TEXAS, AUSTIN, B.S., May 1989
with honors
Awards, Grants and Honors
NSF CAREER Grant 2003-2008
"Knot Theory and Dynamics in Contact Geometry"
NSF Focused Research Group Grant 2003-2006
"Holomorphic Curves and Low Dimensional Topology"
(Co-PI with Eliashberg, Hsiang, Hutchings, Mrowka, Ozsvath, Stern, Szabo))
Invited one hour AMS Address, April 2003
Courant Institute, New York, NY.
National Science Foundation Grant 2002-2005
"Knot Theory and Dynamics in Contact Geometry"
(replaced with CAREER in 2003)
National Science Foundation Grant Fall 2000
for contact geometry workshop (Co-PI with Eliashberg and Ceiliebak)
American Institute on Mathematics award Fall 2000
for contact geometry workshop
National Science Foundation Post-doctoral Fellowship 1997-2001
Regents Endowed Graduate Fellowship August 1990
Phi Beta Kappa April 1989
Professional Positions Held
Assistant Professor 2001-
University of Pennsylvania, Philadelphia, Pennsylvania
Acting Assistant Professor/Visiting Instructor 1997-2001
Stanford University, Stanford, California
Instructor Spring 1997
University of Texas, Austin, Texas
Research Assistant Spring 1992
Max Plank Institute, Bonn, Germany
Teaching Assistant and Assistant Instructor 1989-96
University of Texas, Austin, Texas
Publications
1. Generic hydrodynamic instability of curl eigenfields, joint work with Robert Ghrist, To Appear in SIAM J. Appl. Dyn. Syst.
2. On Symplectic Fillings, Algebr. Geom. Topol 4 (2004), 73-80.
3. On connected sums and Legendrian knots, joint work with Ko Honda, Adv. Math 179 (2003), 59-74.
4. Introductory Lectures on Contact Geometry, Proc. Sympos. Pure Math 71 (2003), 81-107.
5. Problems in Low Dimensional Contact Topology, joint work with Lenhard Ng, Proc. Sympos. Pure Math 71 (2003), 337-357.
6. Tight contact structures and Anosov flows, joint work with Robert Ghrist, Topol. and its Appl 124 (2002), 211-219.
7. Invariants of Legendrian Knots and coherent orientations, joint work with Lenhard Ng and Joshua Sabloff, J. Sympl. Geom 1 (2002), no. 2, 321-368.
8. Contact topology and hydrodynamics II: solid tori, joint work with Robert Ghrist, Ergod. Th. & Dynam. Sys 22 (2002), 819-833.
9. Tight contact structures with no symplectic fillings, joint work with Ko Honda, Invent. Math 148 (2002), no. 3, 609-626.
10. On Symplectic Cobordisms, joint work with Ko Honda, Math. Annalen 323 (2002), no. 1, 31-39.
11. Knots and contact geometry I: torus knots and the figure eight knot, joint work with Ko Honda, J. Sympl. Geom 1 (2001), no. 1, 63-120.
12. An index for closed orbits in Beltrami fields, joint work with Robert Ghrist, Phys. D 159 (2001), no. 3-4, 180-189.
13. Erratum to: tight contact structures on lens spaces, Commun. Contemp. Math 3 (2001), no. 4, 649-652.
14. On the non-existence of tight contact structures, joint work with Ko Honda, Ann. of Math. (2) 153 (2001), no.  3, 749-766.
15. Tight contact structures on lens spaces, Commun. in Contemp. Math 2 (2000), no. 4, 559-577.
16. Contact topology and hydrodynamics III: knotted flowlines, joint work with Robert Ghrist, Trans. Amer. Math. Soc 352 (2000), 5781-5794.
17. Contact topology and hydrodynamics I: Beltrami fields and the Seifert Conjecture, joint work with Robert Ghrist, Nonlinearity 13 (2000), 441-458.
18. Stratified integrals and unknots in invicid flows, joint work with Robert Ghrist, Contemp. Math 246 (1999), 99-111.
19. Gradient flows within plane fields, joint work with Robert Ghrist, Comm. Math. Helvetici 74 (1999), 507-529.
20. Tight contact structures via dynamics, joint work with Robert Ghrist, Proceedings of the AMS 127 (1999), 3697-3706.
21. Transversal torus knots, Geometry and Topology 3 (1999), 253-268.
22. Symplectic convexity in low-dimensional topology, Topol. and its Appl 88 (1998), 3-25.
23. Smooth structures on collarable ends of 4-manifolds, joint work with Zarko Bizaka, Topology 37 (1998), 461-467.
24. Symplectic constructions on 4-manifolds, Dissertation, University of Texas (December 1996), 1-92.
Preprints
1. Lectures on open book decompositions and contact structures, Preprint 2004.
2. Orientations in Legendrian Contact Homology and Exact Lagrangian Immersions, joint work with Tobias Ekholm and Michael G. Sullivan, Preprint 2004.
3. Planar open book decompositions and contact structures, Preprint 2004.
4. Cabling and transverse simplicity, joint work with Ko Honda, Preprint 2003.
5. Legendrian and Transversal Knots, Preprint 2003.
6. The Contact Homology of Legendrian Submanifolds in \mathbbR2n+1, joint work with Tobias Ekholm and Michael G. Sullivan, Preprint 2003.
7. Non-isotopic Legendrian Submanifolds in \mathbbR2n+1, joint work with Tobias Ekholm and Michael G. Sullivan, Preprint 2002.
Professional Service
Editor
Algebraic and Geometric Topology 2000-
Panelist
National Science Foundation Grant Panel 2004
Workshop, Co-organizer
four month workshop on Low Dimensional Contact Geometry at Stanford University and the American Mathematical Institute in the Fall of 2000.
Conferences, Co-organizer
Holomorphic Curves in Contact Geometry, AIM Palo Alto Aug. 2003
Frontiers of PDEs and Dynamical Systems, Rutgers May 2003
NSF Sections Meeting, NYC: Contact and Symplectic Geometry April 2003
Symplectic and Contact Geometry, Stanford May 2001
Low Dimensional Contact Geometry, Stanford December 2000
Seminars, Organizer
Geometry and Topology Seminar 2003-2004
Graduate Student Geometry Seminar 2001-2003
Contact Geometry Seminar Fall 2000
Sheaf Theory Seminar Summer 1994
Seminars, Co-organizer
Symplectic Field Theory Seminar Fall 2000
Low-dimensional Topology and Geometry Seminar 1999-00
Foliations, Fibrations and Slitherings Seminar 1998-99
Seminar on Some Results of Taubes and Kotschick Summer 1995
Contact Geometry Seminar Fall 1994
Reviewer
Math Reviews, NSF Grant Proposals, Israel Science Foundation Grant Proposals, and Netherlands Organization for Scientific Research Grand Proposals
Referee
Annals of Mathematics, Archiv der Mathematik, Asian Journal of Mathematics, Commentarii Mathematici Helvtici, Communications in Analysis and Geometry, Differential Geometry and its Application, Geometriae Dedicata, Geometry and Topology, Houston Journal of Mathematics, International Journal of Mathematics and Mathematical Sciences, International Mathematics Research Notes, Journal of Differential Equations, Journal of Differential Geometry, Journal of Mathematical Sciences (the University of Tokyo), Mathematica Japonica, Mathematical Proceedings of the Cambridge Philosophical Society, Mathematical Research Letters, Pacific Journal of Mathematics, Proceedings of the AMS, Topology, Topology and its application, and Transactions of the AMS
Committees
TA Training 2001-
Math Major Advising 2001-
Graduate Admissions 2002-03
Graduate Advising 2001-02
Masters Advising 2003-
Graduate Students
Adviser
Stephan Schönenberger (PhD) Current
James Tripp (PhD) Current
Supervising Committee
Madeeha Khalid (PhD) May 2003
Joseph Lucas (Masters) Apr. 2002
Oral Exam Committee
Corey Hoelscher Apr. 2004
Stephan Schönenberger Mar. 2003
James Tripp Mar. 2003
Courses Taught
Graduate: Algebraic Topology I, Contact Geometry I, Contact Geometry II, Reading course (with James Tripp - Confoliations), 3-manifold topology I, 3-manifold topology II, Reading course (with Stephan Schönenberger - Holomorphic Curves I and II), Reading course (with Sang Seon Kim - Symplectic topology), Geometry of Curves and Surfaces, and Topology
Undergraduate: Calculus IV, Linear Algebra, Differential Equations, Multi-Variable Calculus, Calculus, Elementary Mathematics Education Course, and Pre-Calculus
Invited Lecture Series/Mini Courses
Open Books and Contact Geometry, June, 2004
Alfred Renyi Institute of Mathematics, Budapest, Hungary.
Legendrian Knots, Feb, 2003
University of Munich, Munich, Germany.
Introduction To Contact Geometry, Sep to Dec, 2002
Rutgers University, New Brunswick NJ.
Invited Conference Talks
Georgia Topology Conference June, 2004
University of Georgia, Athens GA.
Floer Homology, Gauge Theory, and Low Dimensional Topology June, 2004
Alfred Renyi Institute of Mathematics, Budapest, Hungary.
Geometry and Topology of Manifolds May, 2004
McMaster University, Hamilton, Canada.
Cornell Topology Festival(also Colloquium) May, 2004
Cornell University, Ithaca, NY.
Topology in and around dimension three Sep, 2003
BIRS, Banff Canada.
Georgia Topology Conference June, 2003
University of Georgia, Athens GA.
Contact Topology in Montreal Apr, 2003
Montreal, Canada.
AMS Invited Address Apr, 2003
Courant Institute, NYC NY.
XVIIIth Annual Geometry Festival: in Honor of P. Griffiths Mar, 2003
Duke University, Durham NC.
Asymptotic Topology, Foliations, and Dynamical Systems Conference Jul, 2002
University of Munich, Munich, Germany.
AMS Regional Meeting Special Session Mar, 2002
Georgia Institute of Technology, Atlanta GA.
Oberwolfach 4-manifolds Conference Jul, 2001
Oberwolfach, Germany.
Georgia International Topology Conference May, 2001
University of Georgia, Athens GA.
Bay Area Joint Symplectic Geometry Seminar Mar, 2001
Stanford University, Stanford CA.
Bay Area Joint Symplectic Geometry Seminar Dec, 2000
Stanford University, Stanford CA.
Georgia Topology Conference Jul, 2000
University of Georgia, Athens GA.
AMS Regional Meeting Special Session Mar, 2000
University of California, Santa Barbara CA.
Bay Area Topology Seminar Feb, 2000
University of California, Berkeley CA.
West Coast Topology Conference Apr, 1999
Stanford University, Stanford CA.
AMS/MAA Joint National Meeting Jan, 1999
San Antonio TX.
AMS Regional Meeting Special Session Mar, 1998
Kansas State University, Manhattan KS.
Bay Area Joint Symplectic Geometry Seminar Dec, 1997
University of California, Berkeley CA.
AMS Regional Meeting Special Session Oct, 1997
Georgia Institute of Technology, Atlanta GA.
Dehn Surgery Conference Mar, 1997
University of Arkansas, Fayetteville AR.
4-Manifold Workshop Jan, 1997
Mathematical Sciences Research Institute, Berkeley CA.
Georgia Topology Conference June, 1996
University of Georgia, Athens GA.
Colloquia
Cornell University (also Conference Talk), Ithaca, NY May, 2004
University of California, San Diego, La Jolla CA Feb, 2004
University of Southern California, Los Angeles CA Jan, 2004
George Washington University, Washington D.C. Oct, 2003
Dartmouth University, Hanover NH Oct, 2003
SUNY Buffalo, Buffalo NY Mar, 2003
Rice University, Houston, Texas Oct, 2002
Osaka University, Osaka, Japan May, 2002
George Washington University, Washington D.C. Mar, 2002
University of Georgia, Athens GA Mar, 2002
Bryn Mawr, Philadelphia PA Oct, 2001
Emory University, Atlanta GA Feb, 2001
University of Pennsylvania, Philadelphia PA Oct, 2000
Washington University, St. Louis MO Feb, 2000
Santa Clara University, Santa Clara CA Oct, 1999
Tulane University, New Orleans LA Jan, 1999
Auburn University, Auburn AL Jan, 1999
University of Nevada, Reno NV Feb, 1998
Emory University, Atlanta GA Oct, 1997
Seminar Talks
2003: University of Virginia, Charlottesville VA; Dartmouth University, Hanover NH; Courant Institute, NYC NY; University of California, Berkeley CA; SUNY Buffalo, Buffalo NY; Georgia Technical Institute, Atlanta GA; Princeton University, Princeton NJ
2002: Columbia University, NYC NY; Columbia University, NYC NY; Rutgers University, New Brunswick NJ; Tokyo Institute of Technology, Tokyo, Japan; University of Tokyo, Tokyo, Japan; University of Tokyo, Tokyo, Japan; Johns Hopkins University, Baltimore MD; University of Georgia, Athens GA; Princeton University, Princeton NJ
2001: University of California, Santa Barbara CA; Rutgers University, New Brunswick NJ; University of California, Berkeley CA
2000: University of Pennsylvania, Philadelphia PA; University of Pennsylvania, Philadelphia PA; State University of New York, Stony Brook NY; University of California, Riverside CA; Columbia University, NYC NY; New York University, NYC NY; Massachusetts Institute of Technology, Cambridge MA; University of Illinois, Urbana IL
1999: University of California, Berkeley CA; University of California, Berkeley CA; University of Texas, Austin TX; University of Texas, Austin TX; Rice University, Houston TX; Tulane University, New Orleans LA; University of Georgia, Athens GA; Duke University, Durham NC; Duke University, Durham NC
1998: University of California, Berkeley CA; University of California, Santa Barbara CA
1997: University of California, Irvine CA; University of California, Berkeley CA; University of Georgia, Athens GA; State University of New York, Stony Brook NY



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