Mathematical Publications: Mark Goresky
Geometric cohomology and homology of stratified objects
La dualité de Poincaré pour les espaces singuliers
C.R. Acad. Sci. Paris, Sér. A 284 (1977), 1549-1551
Triangulation of stratified objects. Proc. Amer. Math. Soc. 72
pdf file (566K) 1980
Intersection homology theory (with R. MacPherson) Topology 19
pdf file (1.7 MB)
L2 cohomology and intersection homology of singular algebraic varieties
(with J. Cheeger and R. MacPherson) in Differential Geometry Princeton
University Annals of Math studies, S.T. Yau ed. Sept. 1981. Also translated into
Russian and published by MIR Press, Moscow USSR.
pdf file (2.2 MB) 1981
Whitney stratified chains and cochains. Trans. Amer. Math. Soc.
267 (1981), 175-196.
pdf file (2.1MB)
On the topology of complex algebraic maps (with R. MacPherson), Proc. of
Conference on Algebraic Geometry in La Rabida, Spain. Springer Lecture Notes
in Mathematics vol. 961 Springer Verlag, N.Y.
pdf file (330K) 1982
Stratified Morse theory (with R. MacPherson) Proc. of Symp. in Pure Math.
40 (1983), 517-533
Linking pairings on singular spaces (with P. Siegel) Comment. Math. Helv.
59 (1983), 96-110.
pdf file (1.0 MB)
Morse theory for the intersection homology groups (with R.MacPherson)
Analyse et Topologie sur les Espaces Singulieres,
(1983), 135-192, Société Mathématique de France.
pdf file (low res) (2.5 MB)
pdf file (high res) (14 MB) 1983
A decomposition theorem for the integral homology of a variety (with J.
Carrell) Inv. Math. 73 (1983), 367-381.
pdf file (1.5 MB)
Intersection homology II (with R. MacPherson),
pdf file (4.7 MB),
Inv. Math. 71 (1983), 77-129
Kazhdan-Lusztig polynomials for classical groups. (computer tables)
Northeastern University preprint.
Four contributions to Seminar on Intersection Homology (A. Borel, ed.):
Progress in Mathematics vol 50, Birkhauser Boston, 1984.
Witt space cobordism
Lefschetz fixed point theorem (with R. MacPherson)
Sample computation of intersection homology (with R. MacPherson)
Open problems and bibliography for intersection homology (with R. MacPherson)
Intersection homology operations. Comment. Math. Helv. 59
pdf file (1.6 MB) 1985
Lefschetz fixed point formula for intersection homology (with R.
MacPherson). Comment. Math. Helv. 60 (1985), 366-391.
pdf file (1.9 MB) 1986
Simplicial intersection homology (with R. MacPherson). Appendix to
``Elementary construction of Perverse Sheaves'' by R. MacPherson and
K.Vilonen. Inv. Math. 84 (1986), 432-433
Combinatorial geometries, Schubert varieties, and convex polyhedra
(with I. M. Gelfand, R. MacPherson, and V. Serganova), Adv. Math. 63
pdf file (730K) 1987
On the topology of algebraic torus actions (with R. MacPherson), in
Algebraic Groups: Utrecht 1986, Springer Lecture Notes in Mathematics
vol 1271 (1987), 73-90.
pdf file (660K) 1988
Geometry of quadrics and their degenerations (with C. DeConcini, R.
MacPherson, and C. Procesi), Comment. Math. Helv. 63 (1988), 337-413.
pdf file (5.7 MB) 1989
Stratified Morse Theory (with R. MacPherson). Springer Verlag,
N. Y. (1989), Ergebnisse vol. 14.
(get djvu viewer
Also translated into Russian and published by
MIR Press, Moscow, 1991.
Wu numbers of singular spaces (with W. Pardon), Topology 28
pdf file (2.8 MB) 1991
Piecewise linear differential forms with poles (with J. P. Brasselet and R.
American Journal of Mathematics 113 (1991), 1019-1052.
pdf file (1.7MB) 1992
On the Kunneth formula for intersection cohomology (with Daniel Cohen and
Lizhen Ji), Trans. Amer. Math. Soc. 333 (1992), 63-69.
L2 cohomology is intersection cohomology. in The Zeta Function of
Picard Modular Surfaces, R. Langlands and D. Ramakrishnan, ed., Centre de
Recherches Mathematiques, Univ. of Montreal Press, 1992, 47-64.
pdf file (137KB)
Lefschetz numbers of Hecke correspondences (with R. MacPherson), in
The Zeta Function of Picard Modular Surfaces, R. Langlands and
D. Ramakrishnan, ed. Publ. C.R.M., Univ. of Montreal Press, 1992, 465-478.
The Local contribution to the Lefschetz Fixed Point Formula (with R.
MacPherson), Inv. Math. 111 (1993), 1-33.
pdf file (2.8 MB) 1994
Weighted cohomology (with R. MacPherson and G. Harder),
Inv. Math. 116 (1994), 139-213. pdf file
Discrete series characters and the Lefschetz formula for Hecke
operators (with R. Kottwitz and R. MacPherson), Duke Math Journal
89 (1997), 477-554
pdf file (6.0 MB)
Equivariant cohomology, Koszul duality, and the localization
theorem (with R. Kottwitz and R. MacPherson), Inv. Math. 131
pdf file (601 KB)
Toroidal and reductive Borel-Serre compactifications of
locally symmetric spaces (with Y.-S. Tai), Amer. J. Math.
121 (1998), pp. 1095-1151.
pdf file (452 KB) 2000
L'algebre de cohomologie du complement, dans un espace affine
(with P. Deligne and R. MacPherson) Mich. Math. J. 48 (2000),
pdf file (112 KB)
Chern classes of automorphic vector bundles (with W. Pardon), Invent. Math.
147 (2002), 561-612.
pdf file (516KB) Local intersection cohomology of the Baily-Borel
compactification (with G. Harder, R. MacPherson, and A. Nair),
Compositio Mathematica 134 (2002), 243-268.
pdf file (280K)
The topological trace formula (with R. MacPherson), Crelle's J.
560 (2003), 77-150.
pdf file (628K)
The moduli space of real abelian varieties
with level structure (with Y.S. Tai) , Comp. Math.
139 (2003), 1-27.
pdf file (312K)
Anti holomorphic multiplication and a real algebraic modular variety
(with Y.S. Tai), J. Diff. Geom. 65 (2003), 513-560.
pdf file (309K)
Homology of affine Springer fibers in the unramified case
(with R. Kottwitz and R. MacPherson), Duke Math. J. 121 (2004),
pdf file (430K)
Regular points in affine Springer fibers
(with R. Kottwitz and R. MacPherson), Michigan Math J.
53 (2005), 97-107.
Compactifications of modular varieties, in
Harmonic Analysis, The Trace Formula, and Shimura Varieties,
Proceedings of the Clay Mathematics Institute 2003 Summer School,
Fields Institute, Toronto. J. Arthur, D. Ellwood, and R. Kottwitz, ed.,
Amer. Math. Soc. and Clay Math. Inst., 2005, pp. 551-582.
Purity of equivalued affine Springer fibers
(with R. Kottwitz and R. MacPherson), Representation Theory, 10
Codimension of root valuation strata (with R. Kottwitz and
R. MacPherson), Pure and Applied Mathematics Quarterly
5 (2009), 1253-1310.
Loop products and closed geodesics (with N. Hingston),
Duke Math J. 150 (2009), 117-210.
On the spectrum of the equivariant cohomology ring (with R. MacPherson), Canad. J. Math.
62 (2010), 262-283.
(200K) 2012 Hilbert modular forms with coefficients in intersection homology
(with Jayce Getz), Birkhauser, 2012
Algebraic Shift Register Sequences (with A. Klapper), Cambridge Univ. Press 2012
Introduction to the papers of R. Thom and J. Mather, Bull. Amer. Math. Soc.
49 (2012), 469-474.
pdf file (360K)
Euler flag enumeration of Whitney stratified spaces (with R. Ehrenborg and M. Readdy)
Advances in Mathematics 268 (2015), 85--128
Commentary on "Numbers of Solutions of Equations in Finite Fields" by André Weil
Bulletin of the AMS 55(3) (2018), 327--329
Ordinary points mod p of GL(n, R) locally symmetric spaces (with Y. S. Tai),
Pacific Journal of Mathematics 303(1) (2019), 165-215.
pdf file Real structures on Dieudonné modules (with Y. S. Tai),
Pacific Journal of Mathematics 303(1) (2019), 217-241.
pdf file Pfaffian integrals and invariants of singular varieties (with Paolo Aluffi), to appear in
pdf file Armand Borel, 1923-2003, National Academy of Sciences, online
collection of biographical memoirs, 2019.
Morse theory, stratifications and sheaves. in:
Handbook of Geometry and Topology of Singularities (José Luis Cisneros-Molina,
Lê Dung Tráng, José Seade ed.), Springer Verlag, N.Y., 2020, pp. 261-302.