Publications: Mark Goresky

1977

  • La dualit\'e de Poincar\'e pour les espaces singuliers (with R.MacPherson) C.R. Acad. Sci. Paris, Ser. A 284 (1977), 1549-1551

    1978

  • Triangulation of stratified objects. Proc. Amer. Math. Soc. 72 (1978), 193-200, pdf file (566K)

    1980

  • Intersection homology theory (with R. MacPherson) Topology 19 (1980), 135-162

  • 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.

    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.

    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

  • Morse theory for the intersection homology groups (with R.MacPherson) Analyse et Topologie sur les Espaces Singulieres, Ast\'erisque \#101 (1983), 135-192, Soci\'et\'e Math\'e\-ma\-tique de France.

    1983

  • A decomposition theorem for the integral homology of a variety (with J. Carrell) Inv. Math. 73 (1983), 367-381

  • 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.

    1984

  • Four contributions to Seminar on Intersection Homology (A. Borel, ed.): (a) Witt space cobordism (b) Lefschetz fixed point theorem (c) Sample computation of intersection homology (d) Open problems and bibliography for intersection homology Progress in Mathematics vol 50, Birkhauser Boston, 1984.

  • Intersection homology operations. Comment. Math. Helv. 59 (1984), 485-505

    1985

  • Lefschetz fixed point formula for intersection homology (with R. MacPherson). Comment. Math. Helv. 60 (1985), 366-391

    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 (1987), 301-316.

    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.

    1988

  • Geometry of quadrics and their degenerations (with C. DeConcini, R. MacPherson, and C. Procesi), Comment. Math. Helv. 63 (1988), 337-413.

    1989

  • Stratified Morse Theory (with R. MacPherson). Springer Verlag, N. Y. (1989), Ergebnisse vol. 14. Also translated into Russian and published by MIR Press, Moscow, 1991.

  • Wu numbers of singular spaces (with W. Pardon), Topology 28 (1989), 325-367.

    1991

  • Piecewise linear differential forms with poles (with J. P. Brasselet and R. MacPherson), American Journal of Mathematics 113 (1991), 1019-1052.

    1992

    , pdf file (1.7MB)

  • 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.

  • 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.

    1993

  • The Local contribution to the Lefschetz Fixed Point Formula (with R. MacPherson), Inv. Math. 111 (1993), 1-33.

  • Weighted cohomology (with R. MacPherson and G. Harder), Inv. Math. 116 (1993), 139-213.

    1997

  • 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 (637 KB)

    1998

  • Equivariant cohomology, Koszul duality, and the localization theorem (with R. Kottwitz and R. MacPherson), Inv. Math. 131 (1998), 25-83.
    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), 121-136.
    pdf file (112 KB)

    2002

  • 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)

    2003

  • The topological trace formula (with R. MacPherson), Crelle's J. 560 (2003), 77-150.
    pdf file (628K)

    Purity of equivalued affine Springer fibers (with R. Kottwitz and R. MacPherson), submitted 2 years ago.

    PDF file (421K)

    Regular points in affine Springer fibers (with R. Kottwitz and R. MacPherson), Michigan Math J. 53 (2005), 97-107.

    PDF file (170K)



    Publications in Computer Science and engineering

  • Cascaded GMW sequences (with A. H. Chan and A. Klapper), IEEE Trans. Info. Theory 39 (1993), 177-183.
    pdf file (620K)


  • Cross-correlation of geometric sequences and GMW sequences (with A. H. Chan and A. Klapper), Discr. Appl. Math. vol 46 (1993), 1-20.
    pdf file (202K)


  • Partial period autocorrelations of geometric sequences (with A. Klapper), IEEE Tr. Info. Theory. 40 (1994), 494-502.
    pdf file (188K)


  • Feedback shift registers, combiners with memory, and 2-adic span (with A. Klapper), Journal of Cryptology, 10 (1997), 111-147.
    pdf file (368K)

  • Fibonacci and Galois representations of feedback-with-carry shift registers (with A. Klapper), IEEE Trans. Info. Theory 48 (2002), 2826-2836.
    pdf file (366 KB)

  • Efficient multiply-with-carry random number generators with optimal distribution properties (with A. Klapper), ACM TOMACS 13 (2003), 1-12.
    pdf file (131 K)


    Shorter publications and conference proceedings

  • On the linear complexity of feedback registers (with A. H. Chan and A. Klapper), IEEE Trans. Info. Theory 36 (1990), 640-645.

  • Upper bounds on the linear complexity of feedback shift registers (with A. H. Chan and A. Klapper), Proceedings, Advances in Cryptology - Eurocrypt 1989, Hasselt Belgium. (Lecture Notes in Computer Science vol. 434, Springer Verlag, 1990.) pp. 563-570.

  • Correlation functions of geometric sequences (with A. H. Chan and A. Klapper), Proceedings, Advances in Cryptology - Eurocrypt 1990 (Aarhus, Denmark). (Lecture Notes in Computer Science vol. 473, Springer Verlag, 1991.) pp. 214-221.

  • Revealing information with partial period autocorrelations (with A. Klapper), Proceedings, Asiacrypt 1991, Fujyoshida, Japan. (Lecture Notes in Computer Science vol. 739, Springer Verlag, 1992) pp. 277-287.

  • Feedback registers based on ramified extensions of the 2-adic numbers (with A. Klapper), Proceedings, Advances in Cryptology - Eurocrypt 1994, Perugia Itlay. (Lecture Notes in Computer Science vol. 950, Springer Verlag, 1995) pp. 215-222.

  • 2-adic shift registers (with A. Klapper), Proceedings, Fast Software Encryption (Lecture Notes in Computer Science, vol. 809, Springer Verlag, 1994.) pp. 174-178.

  • Large period nearly deBruijn FCSR sequences (with A. Klapper), Proceedings, Advances in Cryptology--Eurocrypt 1995. (Lecture Notes in computer science vol. 921, Springer Verlag, 1995.) pp. 263-273. pdf file (136K)

  • Cryptanalysis based on 2-adic rational approximation (with A. Klapper), Proceedings, Advances in Cryptology--CRYPTO '95. (Lecture Notes in Computer Science vol. 963, Springer Verlag, 1996.) pp. 262-273.

  • Arithmetic crosscorrelation of feedback with carry shift register sequences, (with A. Klapper), IEEE Trans Info. Theory 43 (1997), pp. 1342-1345 pdf file (182K)

  • Fourier Transforms and the 2-adic span of periodic binary sequences, (with A. Klapper and L. Washington), IEEE Trans. Info. Theory 46 (2000) pp. 687-691. pdf file (182K)

  • On the distinctness of decimations of ell-sequences (with A. Klapper and R. Murty), Sequences and their Applications - SETA 01 T. Helleseth, P.V. Kumar, K. Yang, ed. Springer Verlag, NY, 2001, pp. 197-208. pdf file (74K)