Accepted publications:

• Flowing from intersection product to cup product
  with Anibal Medina-Mardones (Western University) and Dev Sinha (University of Oregon); to appear in the Journal of Topology and Analysis
  
  
• Chern classes and unitary equivalence of normal matrices over topological spaces
  with Efton Park (TCU)
  Journal of Operatory Theory 91 (2024), no. 2, 421-441
  
  
• Topological invariance of torsion sensitive intersection homology
  Geometriae Dedicata 217 (2023), Paper No. 105, 43 pp.
  
  
• Two short proofs of the topological invariance of intersection homology
  Journal of Singularities 25 (2022), 144-149
  
  
• My book Singular Intersection Homology
  New Mathematical Monographs, vol. 33
  Cambridge University Press, 2020
  xiii+798 pages
  preliminary manuscript format
  
  
• Intersection homology duality and pairings: singular, PL, and sheaf-theoretic (with James McClure, Purdue University)
  Algebraic & Geometric Topology 21-7 (2021), 3221-3301
  
  
• Generalizations of intersection homology and perverse sheaves with duality over the integers (56 pages)
  Michigan Mathematical Journal 68 (2019), 675-726
  
  
• The chain-level intersection pairing for PL pseudomanifolds revisited
  Journal of Singularities 17 (2018) 330-367
  
  
• Unitary equivalence of normal matrices over topological spaces (with Efton Park, TCU)
  Journal of Topology and Analysis 8 (2016), 313-348
  
  
• Stratified and unstratified bordism of pseudomanifolds
  Topology and Its Applications 194 (2015), 51-92
  
  
• 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), 121-159
  
  
• Cup and cap products in intersection (co)homology (with James McClure, Purdue University)
  Advances in Mathematics 240 (2013), 383-426
  
  
• K-Witt bordism in characteristic 2
  Archiv der Mathematik 100 (2013), 381-387
  
  
• Additivity and non-additivity for perverse signatures (with Eugénie Hunsicker, Loughborough University)
  Journal für die reine und angewandte Mathematik (Crelle's Journal) 676 (2013), 51-95
  
  
• An elementary illustrated introduction to simplicial sets
  Rocky Mountain Journal of Mathematics 42 (2012), 353-424
  This version (which should coincide with the most up-to-date version on the arxiv) contains errata to the published version.
  
  
• 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, 177-222
  
  
• 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), 103-135
  
  
• On the chain-level intersection pairing for PL pseudomanifolds
  Homology, Homotopy and Applications 11 (2009), 261-314
  
  
• Intersection homology and Poincaré duality on homotopically stratified spaces
  Geometry and Topology 13 (2009), 2163-2204
  
  
• Intersection homology with field coefficients: K-Witt spaces and K-Witt bordism
  Communications on Pure and Applied Mathematics 62 (2009), 1265-1292
  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), 371-395
  
  
• Intersection homology of stratified fibrations and neighborhoods
  Advances in Mathematics 215 (2007), 24-65
  
  
• Cobordism of disk knots
  Israel Journal of Mathematics 163 (2008), 139-188
  
  
• Some non-trivial PL knots whose complements are homotopy circles
  Fundamenta Mathematicae 193 (2007), 1-6
  
  
• 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
  
  
• Singular chain intersection homology for traditional and super-perversities
  Transactions of the American Mathematical Society 359 (2007), 1977-2019
  
  
• Superperverse intersection cohomology: stratification (in)dependence
  Mathematische Zeitschrift 252 (2006), 49 - 70
  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)
  
  
• 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
  
  
• Intersection homology of regular and cylindrical neighborhoods
  Topology and Its Applications 149 (2005), 97-148
  
  
• Groups of locally-flat disk knots and non-locally-flat sphere knots
  Journal of Knot Theory and Its Ramifications 14 (2005), 189-215
  
  
• All frame-spun knots are slice
  Proceedings of the American Mathematical Society 132 (2004), 3103-3109
  
  
• Stratified fibrations and the intersection homology of the regular neighborhoods of bottom strata
  Topology and Its Applications 134 (2003), 69-109
  
  
• Intersection Alexander polynomials
  Topology 43 (2004), 71-117
  
  
• Alexander polynomials of non-locally-flat knots
  Indiana University Mathematics Journal 52 (2003), 1479-1578