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Joseph Lipman
Mathematics Department
Purdue University
West Lafayette, IN 47907, USA 

OFFICE: Mathematics 750

PHONE: (765) 494-1994
FAX:   (765) 494-0548 
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PREPRINTS AND TALKS

  • Reduction of derived Hochschild functors over commutative algebras and schemes.   
            (With L. Avramov and S. Iyengar)

  • Reflexivity and rigidity for complexes. I. Commutative rings.   
            (With L. Avramov and S. Iyengar)

  • Grothendieck operations and coherence in categories.   (UAM, Madrid, Spain,  Feb. 27, 2009.)

  • Introduction to Grothendieck Duality.   (YMIS 09, Sedano, Spain,   Feb. 16-20, 2009.)

  • Derived Hochschild cohomology and Grothendieck Duality.   (Avramov conference, Lincoln, Nebraska,   May 20, 2008.)

  • Basic results on Grothendieck Duality.   (Barcelona workshop,   Nov. 5, 2007.)

  • Dualizing complexes and Cousin complexes on formal schemes.   (Segovia conference,   Aug. 16, 2006.)

  • Residue theorem for formal schemes.   (Videotaped lecture at MSRI,   Dec. 3, 2002.)

    POST-1990 PAPERS (pdf)
    For more information see Publications and Reviews.

  • Notes on Derived Functors and Grothendieck Duality.   In Springer Lecture Notes,  no. 1960 (2009), 1--259. 

  • A vanishing theorem for finitely supported ideals in regular local rings.

  • Quasi-perfect scheme-maps and boundedness of the twisted inverse image functor.   
            (With A. Neeman.)

  • A numerical condition for simultaneous normalization.   
            (With H.-J. Chiang-Hsieh.)

  • Pseudofunctorial behavior of Cousin complexes on formal schemes.   
            (With S. Nayak and P. Sastry.)

  • Integrally closed ideals in two-dimensional regular local rings are multiplier ideals.   
            (With K. Watanabe.)

  • Lectures on local cohomology and duality.

  • Equisingularity and simultaneous resolution of singularities.

  • Duality and flat base change on formal schemes.    Correction8.3.    Correction2.5.
            (With L. Alonso Tarrío and A. Jeremías López.)

  • Greenlees-May duality on formal schemes.   
            (With L.Alonso Tarrío and A. Jeremías López.)

  • Non-noetherian Grothendieck duality.

  • Differential invariants of embeddings of manifolds in complex spaces.  (With W. Huang.)

  • Local homology and cohomology on schemes.   See also: Corrections.
            (With L.Alonso Tarrío and A. Jeremías López.)

  • The multiple-point schemes of a finite curvilinear map of codimension one.
           (With S.L. Kleiman and B. Ulrich.)

  • The source double-point cycle of a finite map of codimension one.
            (With S.L. Kleiman and B. Ulrich.)

  • Cohen-Macaulayness in graded algebras.

  • Adjoints of ideals in regular local rings.

  • Adjoints and polars of simple complete ideals in two-dimensional regular local rings.

  • Proximity inequalitites for complete ideals in two-dimensional regular local rings.

  • Regular differentials and equidimensional scheme-maps.  (With P. Sastry.)    See also Correction.

  • Group-theoretic axioms for projective geometry.  (With A. Gottlieb.)

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