William W. Menasco

(continued from main homepage)


Education

B. A. 1975, University of California, Los Angeles

Ph. D. 1981, University of California, Berkeley; supervisor Robion Kirby


Academic history

Assistant Professor, Rutgers University, New Brunswick; 1981 to 1984.

Visiting Professor, University at Buffalo; 1984 to 1985

Assistant Professor, University at Buffalo; 1985 to 1991

Associate Professor, University at Buffalo; 1991 to 1994

Professor, University at Buffalo, 1994 to present


Scholarly visits and honors

AMS Centennial Research Fellowship, 1992-1994

Visiting Member, Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France, fall semester, 1992 .

Professeur des Universites, Institut non Lineaire de Nice-Universite de Nice, Sophia Antipolis, France, July 1994 .

Visiting Member, Mathematical Sciences Research Institute, Berkeley, California, Spring 1997.

Visiting Professor, Columbia University, November 1999.


Publications

Incompressible surfaces in complement of alternating knots and links, Thesis, U.C. Berkeley, (1981)

Polyhedra representation of link complements, Low Dimensional Topology, (Series: Contemporary Mathematics, Vol. 20, AMS, 1983), 305-325

Closed incompressible surfaces in alternating knot and link complements, Topology, Vol. 23, No.1 (1984), 37-44

Determining incompressibility of surfaces in alternating knot and link complements, Pacific Journal of Mathematics, Vol. 117, No.2 (1985), 353-370

(with A. Thompson)Compressing handlebodies with holes, Topology, Vol. 28, No.4 (1989), 485-494

(with J. Birman)Studying Links via Closed Braids I: Two finiteness theorem, Pacific Journal of Mathematics, Vol. 154, No.1 (1992), 17-36

(with J. Birman)Studying Links via Closed Braids II: On a theorem of Bennequin, Topology and Its Applications, Vol.40, (1991), 71-82

(with J. Birman)Studying Links via Closed Braids III: Classifying links which are closed 3-braids, Pacific Journal of Mathematics, Vol.161, No.1 (1993), 25-113

(with J. Birman)Studying Links via Closed Braids IV: Closed braid representatives of composite links and split links, Inventiones Mathematicae, Vol. 102, (1990), 115-139

(with J. Birman)Studying Links via Closed Braids V: Closed braid representations of the unlink, Transactions of the AMS, Vol. 329, No. 2, February 1992, 585-606

(with J. Birman)Studying Links via Closed Braids VI: A non-finiteness theorem, Pacific Journal of Mathematics, Vol.156, No.2 (1992), 265-285

(with J. Birman)A calculus on links in S^3, KNOTS 90, W. Gruyter \& Co., 1992, 625-631

(with J. Birman)Special positions for essential tori in link complements, Topology, Vol. 33, No.3, (1994), 525-556

(with A. Reid)Totally geodesic surfaces in hyperbolic link complements, Topology 90: Proceedings of Research Semester in Low Dimensional Topology at Ohio State University, editors B. Apanasov, W. Neumann, A. Reid, & L. Siebenmann, W. Gruyter & Co., 1992

(with J. Hass)Rigid non-Haken 3-manifolds, The Journal of the Australian Mathematical Society(Series A), 55 (1993), 63-71

(with M. Thistlethwaite)A geometric proof that alternating knots are non-trivial, Mathematical Proceedings of the Cambridge Philosophical Society, 109, (1991), 425-431

(with M. Thistlethwaite)Surfaces with boundary in alternating knot exteriors, Journal fur die reine und angewandte Mathematik, 426, (1992), 47-65

(with M. Thistlethwaite)The Tait Flyping Conjecture, AMS Bulletin, Vol. 25, No. 2, October 1991, 403-412.

(with M. Thistlethwaite)A classification of alternating links, Annals of Mathematics, 138, (1993), 113-171.

(with R. Kleinberg) Train tracks and Zipping Sequences for Pseudo-Anosov Braids, Knot Theory and Its Applications. Chaos Solitons Fractals 9 (1998), no. 4-5, 793--809.

Closed Braids and Heegaard Splittings, preprint 1999, to appear in Knots, Braids, and Mapping Class Groups: Papers dedicated to Professor Joan Birman. [.pdf (Acrobat) version]

Knots, Braids, and Mapping Class Groups: Papers dedicated to Professor Joan Birman, Ed. J. Gilman, W. Menasco, and X.-S. Lin, International Press.

(with X. Zhang) Notes on Tangles, 2-Handle Additions And Exceptional Dehn Fillings, preprint 1999, to appear in Pacific Journal of Mathematics. [.pdf (Acrobat) version]

On Iterated Torus Knots and Transversal Knots, Geometry & Topology, Vol. 5 (2001) Paper no. 21, pages 651--682. [.pdf (Acrobat) version]

(with X. Zhang)Positive knots and knots with braid idex three have property-P, preprint 2000, to appear in Knot Theory its Ramifications. [.pdf (Acrobat) version]

(with J. Birman)On Markov's Theorem, preprint 2001, to appear in Proceddings of Knots 2000. [.pdf (Acrobat) version]

(with J. Birman) Stabilization in the braid group (with applications to transversal knots), preprint 2002. [.pdf (Acrobat) version]


The content of this homepage was last modified on April 3, 2002