Adam Simon Levine
Department of Mathematics
Princeton University
Fine Hall, Washington Road
Princeton, NJ 08544
(609) 258-6457 (office)
asl2@math.princeton.edu
Academic Positions and Fellowships
Princeton University
Princeton, NJ
• Assistant Professor, 2013–present
Brandeis University
Waltham, MA
• National Science Foundation Postdoctoral Research Fellow, 2010–13
Mathematical Sciences Research Institute
Berkeley, CA
• Program Associate, Spring 2010
Education
Columbia University
New York, NY
• Ph.D. with distinction, Mathematics, 2010
Advisor: Peter Ozsváth
Thesis: Applications of Heegaard Floer homology to knot and link concordance
• M.Phil., Mathematics, 2008
• M.A., Mathematics, 2006
Harvard University
Cambridge, MA
• A.B. magna cum laude, Mathematics, 2005
Advisor: Dylan Thurston
Thesis: Quasiconvexity in word-hyperbolic Coxeter groups
Phi Beta Kappa
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Publications and Preprints
1. Non-surjective satellite operators and piecewise-linear concordance, preprint (2014),
arXiv:1405.1125.
2. (With Daniel Ruberman) Generalized Heegaard Floer correction terms, to appear in
Proceedings of Gökova Geometry-Topology Conference 2013, arXiv:1403.2464.
3. (With Daniel Ruberman and Sašo Strle, and with an appendix by Ira M. Gessel)
Non-orientable surfaces in homology cobordisms, to appear in Geometry & Topology,
arXiv:1310.8516.
4. (With Matthew Hedden) Splicing knot complements and bordered Floer homology, to
appear in Journal für die reine und angewandte Mathematik, arXiv:1210.7055.
5. (With Sam Lewallen) Strong L-spaces and left-orderability, Mathematical Research
Letters 19 (2012), no. 6, 1237–1244.
6. (With John A. Baldwin) A combinatorial spanning tree model for knot Floer homology,
Advances in Mathematics 231 (2012), 1886–1939.
7. Slicing mixed Bing-Whitehead doubles, Journal of Topology 5 (2012), 713–726.
8. Knot doubling operators and bordered Heegaard Floer homology, Journal of Topology
5 (2012), 651–712.
9. On knots with infinite smooth concordance order, Journal of Knot Theory and its
Ramifications 21 (2012), no. 2, 1250014.
10. Computing knot Floer homology in cyclic branched covers, Algebraic & Geometric
Topology 8 (2008), 1163–1190.
Teaching Experience
Instructor, Princeton University
• Calculus I
• Algebraic Topology (graduate)
Fall 2013, Fall 2014
Spring 2014
Instructor, Brandeis University
• Applied Linear Algebra
• Algebraic Topology (graduate)
Fall 2011, Spring 2012
Fall 2011, Spring 2012
Instructor, Columbia University
• Linear Algebra
• Calculus II
Summer 2008
Summer 2007
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Teaching Assistant, Columbia University
2006–09
Tutor, Columbia Mathematics Help Room and private practice
Assisted high school and college students in precalculus, calculus, linear
algebra, abstract algebra, and topology.
2005–09
Invited Talks
• Scientific Session on Geometry and Topology of Manifolds in
Low Dimensions (CMS Winter Meeting, Hamilton, Ontario)
December 2014
• Special Session on Algebraic Structures Motivated by Knot Theory
(AMS Southeastern Sectional Meeting, Greensboro, NC)
November 2014
• Knots and Low Dimensional Manifolds
ICM Satellite Conference, Busan, South Korea
• UCLA Topology Seminar
August 2014
May 2014
• Philadelphia Area Topology / Contact / Hyperbolic Seminar
March 2014
• Berkeley Topology Seminar
January 2014
• University of Virginia Colloquium
October 2013
• University of North Carolina / Duke Topology Seminar
October 2013
• Low Dimensional Topology, Knots, and Orderable Groups
Centre International de Rencontres Mathématiques
July 2013
• Low-Dimensional Geometry and Topology in Toulouse
Institut de Mathématiques Toulouse, Université Paul Sabatier
June 2013
• 20th Gökova Geometry / Topology Conference
June 2013
• Stony Brook Topology Seminar
April 2013
• 47th Annual Spring Topology and Dynamics Conference
Central Connecticut State University
March 2013
• Princeton University Topology Seminar
March 2013
• Special Session on Knots, Links, and Three-Manifolds
(Joint Mathematics Meetings, San Diego, CA)
January 2013
• Rice University Topology Seminar
January 2013
• Symplectic and Low Dimensional Topologies in Interaction
Simons Center for Geometry and Physics
December 2012
• University of Virginia Topology Seminar
November 2012
• Special Session on Knot Theory and 4-Manifolds
(AMS Central Sectional Meeting, Akron, OH)
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October 2012
• Indiana Graduate Student Geometry and Topology Conference
April 2012
• Tokyo Workshop on Low-Dimensional Topology
March 2012
• Caltech Geometry and Topology Seminar
March 2012
• Harvard Gauge Theory Seminar
February 2012
• Special Session on Knot Theory
(Joint Mathematics Meetings, Boston, MA)
January 2012
• Knots in Washington XXXIII / Colloquium
George Washington University
December 2011
• City University of New York Topology Seminar
September 2011
• Special Session on Gauge Theory and Low-Dimensional
Topology (AMS Eastern Sectional Meeting, Ithaca, NY)
September 2011
• Homological Invariants in Low-Dimensional Topology Workshop
Simons Center for Geometry and Physics
• Indiana University Topology Seminar
June 2011
March 2011
• Michigan State University Topology Seminar (four lectures)
February 2011
• Boston College Topology Seminar
October 2010
• Brandeis University Topology Seminar
October 2010
• Knot Concordance and Homology Cobordism Workshop
Wesleyan University
July 2010
• Wesleyan University Topology Seminar
April 2010
• Berkeley Topology Seminar
February 2010
• Special Session on Geometric Aspects of Link and 3-Manifold
Invariants (Joint Mathematics Meetings, San Francisco, CA)
January 2010
• Knots in Washington XXIX
George Washington University
December 2009
• Boston College Topology Seminar
November 2009
• Columbia Symplectic Geometry and Gauge Theory Seminar
October 2009
• Princeton Graduate Topology Seminar
February 2009
• Columbia Graduate Topology Seminar
April 2008, January 2009
• Columbia Summer Topology Seminar
June 2007
• Harvard Undergraduate Mathematics Colloquium
This talk won the Robert Fletcher Rogers prize.
May 2005
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Service and Synergistic Activities
Referee, Algebraic & Geometric Topology, Bulletin of the London
Mathematical Society, Communications in Analysis and Geometry,
Geometry & Topology, Journal of Knot Theory and its Ramifications,
Journal of Sympletic Geometry, Michigan Mathematical Journal,
Quantum Topology.
2010–present
Co-organizer, Princeton Topology Seminar
2013–present
Co-organizer, Brandeis Topology Seminar
Created a public online calendar of all the topology seminars in the
Boston area.
Teacher, National Havurah Committee Summer Institute
Taught a four-session course on the history of mathematics in rabbinic
literature to an audience of all ages at a Jewish retreat in Rindge, NH.
2010–13
August 2011
Co-organizer, Columbia Graduate Topology Seminar
Helped run a weekly informal seminar for graduate students about topics
in low-dimensional topology, with a focus on the papers of Ozsváth and
Szabó on Heegaard Floer homology.
2008–10
Speaker, Columbia Undergraduate Mathematical Society
Gave several talks to undergraduates about topology and other subjects.
2006–09
Miscellaneous
• Programming languages: C++, Mathematica.
• Languages: Strong proficiency in French; reading comprehension and basic conversational ability in Hebrew; mathematical reading comprehension in Spanish.
• Citizenship: United States.
Last updated: September 9, 2014
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