GREG FRIEDMAN
Email:g.friedman@tcu.edu
Department of Mathematics
Texas Christian University
TCU Box 298900
Fort Worth, TX 76129
Ph. 8172576343
My CV
My schedule for Spring 2015.
Web pages for courses I'm teaching:
Discrete Mathematics I
Statistics
Upcoming activities:
June 2527, TCU will be hosting the 32nd annual Workshop in Geometric Topology
Slides, notes, and other activities
 Here are some notes
on doing proofs that I'm (in theory still) working on. They're intended for undergraduates just learning
how to prove things. Eric Schecter at Vanderbilt has a related useful page on Common Errors in Undergraduate Mathematics

Here's a handy guide I wrote for evaluating integrals in vector calculus:
 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 hardtofind seminar notes and the like.
 Slides for my talk on Poincaré 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.
 I coorganized the NSF/CBMS Conference on Topology, C*algebras, and String Duality, May 1822, 2009,
with principal lecturer Jonathan Rosenberg of the University of Maryland.
 I coorganized an NSF/CBMS Conference at TCU on Hodge Theory, Complex Geometry, and Representation Theory , June 1822, 2012,
with principal lecturer Phillip Griffiths.
 I coorganized an MSRI Workshop on the Topology of Stratified Spaces in September, 2008.
Research Interests:
Algebraic and geometric topology, especially stratified spaces, intersection homology, and knot theory
My research is current supported by a grant from the Simons Foundation (#209127 to Greg Friedman) and a
grant from the National Science Foundation (DMS1308306).
Publications
Abstracts of all my papers.
Preprints:

The most recent draft of my bookinprogress
An introduction to intersection homology (without sheaves)
pdf

Stratified and unstratified bordism of pseudomanifolds
pdf (52
pages)
Accepted publications:

Unitary equivalence of normal matrices over topological spaces (with Efton Park, TCU)
To appear in Journal of Topology and Analysis
pdf (35 pages)

Hodge theory, complex geometry, and representation theory
Robert S. Doran, Greg Friedman, and Scott Nollet (editors)
Contemporary Mathematics Volume 608, American Mathematical Society, 2014

The symmetric signature of a Witt space (with James McClure, Purdue University)
Journal of Topology and Analysis 5 (2013), 121159
arxiv link

Cup and cap products in intersection (co)homology (with James McClure, Purdue University)
Advances in Mathematics 240 (2013), 383426
arxiv link

KWitt bordism in characteristic 2
Archiv der Mathematik 100 (2013), 381387
pdf (7
pages)

Additivity and nonadditivity for perverse signatures (with Eugénie Hunsicker, Loughborough University)
Journal für die reine und angewandte Mathematik (Crelle's Journal) 676 (2013), 5195
pdf (45
pages)

An elementary illustrated introduction to simplicial sets
Rocky Mountain Journal of Mathematics 42 (2012), 353424
pdf (57
pages)

Topology of Stratified Spaces
Greg Friedman, Eugénie Hunsicker, Anatoly Libgober, Laurentiu Maxim (editors)
Mathematical Sciences Research Institute Publications 58, Cambridge University Press 2011

An introduction to intersection homology with general perversity functions,
in Topology of Stratified Spaces ,
Greg Friedman, Eugénie Hunsicker, Anatoly Libgober, Laurentiu Maxim (editors)
Mathematical Sciences Research Institute Publications 58, Cambridge University Press 2011, 177222
pdf (41
pages)

Superstrings, Geometry, Topology, and C* Algebras
Robert S. Doran, Greg Friedman, Jonathan Rosenberg (editors)
Proceedings of Symposia in Pure Mathematics 81, Providence: American Mathematical Society, 2010

Intersection homology with general perversities
Geometria Dedicata 148 (2010), 103135
pdf (40
pages)

On the chainlevel intersection pairing for PL pseudomanifolds
Homology, Homotopy and Applications 11 (2009), 261314
pdf (51 pages)

Intersection homology and Poincaré duality on homotopically stratified spaces
Geometry and Topology 13 (2009), 21632204
pdf (36 pages)

Intersection homology with field coefficients: KWitt spaces and KWitt bordism
Communications on Pure and Applied Mathematics 62 (2009), 12651292
pdf (26
pages)
Please also see the Corrigendum, which addresses an error in characteristic 2.
The Corrigendum was printed in Communications on Pure and Applied Mathematics 65 (2012), 1639–1640

Intersection homology Kunneth theorems
Mathematische Annalen 343 (2009), 371395
pdf  ps (25
pages)

Intersection homology of stratified fibrations and neighborhoods
Advances in Mathematics 215 (2007), 2465
pdf  ps (45 pages)

Cobordism of disk knots
Israel Journal of Mathematics 163 (2008), 139188
pdf
ps (42 pages)

There exist nontrivial PL knots whose complements are homotopy circles
Fundamenta Mathematicae 193 (2007), 16
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, 205224
pdf  ps (18 pages)

Singular chain intersection homology for traditional and
superperversities
Transactions of the American Mathematical Society 359 (2007), 19772019
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 3dimensional pseudomanifolds with an application
to statesum invariants (with Markus Banagl, Universitat
Heidelberg)
Algebraic and Geometric Topology 4 (2004), 521542
pdf  ps (22 pages)

Intersection homology of regular and cylindrical neighborhoods
Topology and Its Applications 149 (2005), 97148
pdf  ps
(49 pages)

Groups of locallyflat disk knots and nonlocallyflat sphere
knots
Journal of Knot Theory and Its
Ramifications 14 (2005), 189215
pdf  ps
(25 pages)

All framespun knots are slice
Proceedings of the American Mathematical Society 132 (2004),
31033109
pdf 
ps (8 pages)

Stratified fibrations and the intersection homology
of the regular neighborhoods of bottom strata
Topology and Its Applications 134 (2003), 69109
pdf  ps

Intersection Alexander polynomials
Topology 43 (2004), 71117
pdf  ps

Alexander polynomials of nonlocallyflat knots
Indiana
University Mathematics Journal 52 (2003), 14791578
pdf  ps