Paul Melvin
Research Field: Geometry/Topology
Interests: Topology of 3 and 4-dimensional manifolds
Knot Theory & Quantum Topology
Recent Publications (click here for a complete list)
- The Milnor degree of a 3-manifold (with T. Cochran) 2010 J. Topology
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Triple linking numbers, ambiguous Hopf invariants and integral formulas for three component links (with D. DeTurck, H. Gluck, R. Komendarczyk,C. Shonkwiler and S. Vela-Vick) 2009 Matematica Contemporanea
- Non-smoothable four-manifolds with infinite cyclic fundamental groups (with S. Friedl, I. Hambleton and P. Teichner) 2007 IMRN
- A topological menagerie 2006 AMS Monthly
- The nonuniqueness of Chekanov polynomials of Legendrian knots(with S. Shrestha) 2005 Geometry & Topology
- Local surgery formulas for quantum invariants and the Arf invariant(with R. Kirby) 2004 G&T Monographs
- A geometric interpretation of Milnor's triple linking numbers(with B. Mellor) 2003 Alg.& Geom. Topology
- Quantum cyclotomic orders of 3-manifolds (with T. Cochran) 2001 Topology
- Finite type invariants of 3-manifolds (with T. Cochran) 2000 Invent. Math.
Courses
2012-13 Calculus II (Math 102)
Real Analysis I (Math 301)
Algebraic Topology (Math 505)
Paul Melvin
Professor of Mathematics
B.A. Haverford College, 1971
Ph.D. U.C. Berkeley, 1977
Office: Park 333
Phone: 610-526-5353
Email: pmelvin@brynmawr.edu
Curriculum Vita: pdf
Brief Resume: Ph.D. in Mathematics from U.C. Berkeley in 1977, working in Geometric Topology with Robion Kirby. Postdoctoral positions at U.W. Madison and U.C. Santa Barbara. On the faculty at Bryn Mawr College since 1981. Sabbatical research positions at Stanford University (1988-89), the Newton Institute in Cambridge, England (1992), the Institute for Advanced Study in Princeton (2002-03) and the Mathematical Sciences Research Institute in Berkeley (1996-97 and 2009-10). Supported by grants from the National Science Foundation, the American Institute of Mathematics, and the Mellon Foundation.