GREG FRIEDMAN


E-mail:g.friedman@tcu.edu

Department of Mathematics
Texas Christian University
TCU Box 298900
Fort Worth, TX 76129
Ph. 817-257-6343


My CV
My schedule for Spring 2010.

Web pages for courses I'm teaching:
Abstract Algebra 2
Calculus 1

I co-organized the NSF/CBMS Conference on Topology, C*-algebras, and String Duality, May 18-22, 2009, with principal lecturer Jonathan Rosenberg of the University of Maryland.

I co-organized an MSRI Workshop on the Topology of Stratified Spaces in September, 2008.

Slides of recent talks
My talk on Poincare Duality on Homotopically Stratified Spaces given at Singularities in Geometry and Topology, in honor of the 60th birthday of Sylvain Cappell, March 17, 2008. Here is a more printer friendly version of the same talk without overlays.

Here are some notes on doing proofs that I'm working on. They're intended for undergraduates just learning how to prove things.
Eric Schecter at Vanderbilt has a useful page on Common Errors in Undergraduate Mathematics

Here are some extremely brief notes on spectral sequences for a seminar talk.

And here are some topology notes, written by others, that I've acquired over time. These are mostly hard-to-find seminar notes and the like.

Research Interests:

Algebraic and geometric topology, especially stratified spaces, intersection homology, and knot theory

Publications

Abstracts of all my papers.

    Accepted papers:

  • An introduction to intersection homology with general perversity functions
    To appear in the Proceedings of the Workshop on the Topology of Stratified Spaces at MSRI, September 8-12, 2008
    pdf (41 pages)

  • On the chain-level intersection pairing for PL pseudomanifolds
    Homology, Homotopy and Applications 11 (2009), 261-314
    pdf (51 pages)

  • Intersection homology and Poincare duality on homotopically stratified spaces
    Geometry and Topology 13 (2009), 2163-2204
    pdf (36 pages)

  • Intersection homology with field coefficients: K-Witt spaces and K-Witt bordism
    Communications on Pure and Applied Mathematics 62 (2009), 1265-1292
    pdf - ps (26 pages)

  • Intersection homology Kunneth theorems
    Mathematische Annalen 343 (2009), 371-395
    pdf - ps (25 pages)

  • Intersection homology of stratified fibrations and neighborhoods
    Advances in Mathematics 215 (2007), 24-65
    pdf - ps (45 pages)

  • Cobordism of disk knots
    Israel Journal of Mathematics 163 (2008), 139-188     pdf ps (42 pages)

  • There exist non-trivial PL knots whose complements are homotopy circles
    Fundamenta Mathematicae 193 (2007), 1-6
    pdf - ps (7 pages)

  • A multiperversity generalization of intersection homology (with Gil Kalai, Hebrew University and Yale University)
    Pure and Applied Mathematics Quarterly 3 (2007), Special Issue: In honor of Robert MacPherson, Part 3 of 3, 205-224
    pdf - ps (18 pages)

  • Singular chain intersection homology for traditional and super-perversities
    Transactions of the American Mathematical Society 359 (2007), 1977-2019
    pdf - ps (46 pages)

  • Superperverse intersection cohomology: stratification (in)dependence
    Mathematische Zeitschrift 252 (2006), 49 - 70
    pdf - ps (21 pages)
    Important note: The citation to Glen Bredon's Topology and Geometry is incorrect. Instead the citation should be to Bredon's Sheaf Theory, 2nd Ed., Springer (1997).

  • Knot spinning
    in the Handbook of Knot Theory, edited by William Menasco and Morwen Thistlethwaite, Elsevier Science (July 9, 2005)
    pdf - ps (23 pages)

  • Triangulations of 3-dimensional pseudomanifolds with an application to state-sum invariants (with Markus Banagl, Universitat Heidelberg)
    Algebraic and Geometric Topology 4 (2004), 521-542
    pdf - ps (22 pages)

  • Intersection homology of regular and cylindrical neighborhoods
    Topology and Its Applications 149 (2005), 97-148
    pdf - ps (49 pages)

  • Groups of locally-flat disk knots and non-locally-flat sphere knots
    Journal of Knot Theory and Its Ramifications 14 (2005), 189-215
    pdf - ps (25 pages)

  • All frame-spun knots are slice
    Proceedings of the American Mathematical Society 132 (2004), 3103-3109
    pdf - ps (8 pages)

  • Stratified fibrations and the intersection homology of the regular neighborhoods of bottom strata
    Topology and Its Applications 134 (2003), 69-109
    pdf - ps

  • Intersection Alexander polynomials
    Topology 43 (2004), 71-117
    pdf - ps

  • Alexander polynomials of non-locally-flat knots
    Indiana University Mathematics Journal 52 (2003), 1479-1578
    pdf - ps