Kolchin Seminar in Differential Algebra
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We will post links to slides, papers, lecture notes on this page as they become available.
Click here for papers posted in previous years.

  • Manuel Campagnolo, DM/ISA, Technical University of Lisbon
       and SQIG/Instituto de Telecomunicações, Lisbon
    Continuous Dynamic Systems and Computation (03/12/2010)
  • Phyllis J. Cassidy, Smith College and CCNY
    Examples as Avatarss  (11/18/2011)
    Differentially closed fields  (11/16/2007)
    The logarithmic derivative on the elliptic curve  (11/16/2007)
    Differential Algebraic Geometry, Part 5  (11/9/2007)
    Differential Algebraic Geometry, Part 4  (11/2/2007)
    Differential Algebraic Geometry, Part 3  (10/26/2007)
    Differential Algebraic Geometry, Part 2  (10/19/2007)
    Differential Algebraic Geometry, Part 1  (10/5/2007)
    The Galois group of a Picard-Vessiot extension, Part 3  (12/8/2006)
    The Galois group of a Picard-Vessiot extension, Part 2  (12/1/2006)
    The Galois group of a Picard-Vessiot extension, Part 1  (11/17/2006)
    Introduction to differential algebraic geometry and differential algebraic groups  (Fall, 2005)
  • Richard Churchill, Hunter College and The Graduate Center
    A Geometric Approach to Classical Galois Theory (08/27/2010). Corrected Aug 28, 2010.
    Differential arithmetic (02/01/08) Corrected May 13, 2008
    A brief introduction to algebraic geometry  (11/25/2007)
    A geometric approach to linear ordinary differential equations  (10/13/2006)
    Introduction to the Galois Theory of Linear Ordinary Differential Equations  (9/8/2006)
    Liouville's theorem on integration in terms of elementary functions  (9/1/2006)
  • Adam Crock, Graduate Center of CUNY
    A brief introduction to schemes  (12/16/2005)
  • Tobias Dyckerhoff, University of Pennsylvania and Universitat Heidelberg
    Picard-Vessiot extensions over number fields  (Diplomarbeit)
  • Xiao-Shan Gao, Institute of Systems Science, Chinese Academy of Sciences
    Characteristic set and resolvent for difference polynomial systems  (5/6/2006)
  • Oleg Golubitsky, Queen's University, Kingston, Ontario
    A bound for the order of derivatives in the Rosenfeld-Gröbner Algorithm  (3/18/2006)
  • Li Guo, Rutgers University at Newark
    Classification of Rota-Baxter type operators  (04/24/2009; joint work with W. Sit and R. Zhang)
    Introduction to Rota-Baxter algebras  (02/15/08)
  • Raymond Hoobler, City College and Graduate Center, CUNY
    Cohomology and Differential Schemes  (10/21/2011)
    The Differential Brauer Group (revised version)  (12/11/2009)
    FPQC Descent and Grothendieck Topologies in a Differential Setting (fourth version)  (12/04/2009)
    Differential Spectrum and Other Matters  (03/20/2009)
  • Evelyne Hubert, INRIA, Sophia Antipolis, France
    Rational and algebraic invariants of a group action  (12/16/2006)
    Symbolic computation for overdetermined systems of nonlinear differential equations  (12/15/2006)
  • Miodrag Cristian Iovanov, University of Southern California and Rutgers University at New Brunswick
    Finite Tensor Categories and a Certain Class of Frobenius Algebras  (04/30/2010)
    Why Coalgebras? ---- Frobenius Algebras, Hopf Algebras and Compact Groups via Co-Representation Theory, with Applications  (04/23/2010)
  • Lourdes Juan, Texas Tech University
    The infinite Quaternion group Q\infty and the Airy equation  (5/7/2006)
    On the structure of Picard-Vessiot extensions  (5/6/2006),  see also the web site
    Torsors and Galois cohomology  (5/5/2006)
    Generic Picard-Vessiot extensions for connected by finite groups  (10/22/2005)
  • William Keigher, Rutgers University at Newark
       Leon F. Pritchard, York College, CUNY
    Partitioned Differential Quasifields, I and II (03/27/2009 and 04/03/2009)
  • Jerald Kovacic, CCNY
    Strongly normal extensions (1/25/2008)
    Differential schemes (11/30/2007)
    Existence of a Picard-Vessiot extension (10/27/2006)
    Differential schemes (12/17/2005)
    Picard-Vessiot theory, algebraic groups and group schemes  (Fall, 2005)
    An algorithm for solving second order linear homogeneous differential equations  (9/23/2005)
    An algorithm for solving second order linear homogeneous differential equations  (scan)
  • Alexander Levin, Catholic University of America
    Differential Dimension Polynomials  (10/22/2005)
  • Wei Li, KLMM, Chinese Academy of Sciences, Beijing
    Sparse Differential Resultant for Laurent Differential Polynomials  (11/11/11)
    Differential Chow Form   (11/18/11)
  • Bernard Malgrange, Université Joseph Fourier, Grenoble, France
    Lie Pseudogroups and Differential Galois Theory  (Posted 04/20/2010)
  • David Marker, University of Illinois at Chicago
    Embedding Differential Algebraic Groups in Algebraic Groups  (05/01/2009, expanded version)
    Embedding Differential Algebraic Groups in Algebraic Groups  (02/20/2009)
  • Sally Morrison, Bucknell University
    A generalization of Rosenfeld's Lemma  (10/22/2005)
    Coherence and prime decomposition  (10/21/2005)
  • John Nahay, Broadway Performance Systems, LLC, Silver Spring, Maryland
    Joint differential resolvents for pseudo-polynomials  (03/01/2008)
  • Alexey Ovchinnikov, Queens College, CUNY
  • Eugueny Pankratiev, Moscow State University
       A. I. Zobnin, Moscow State University
    Standard differential bases  (4/7/2006)
  • Camilo Sanabria, Graduate Center, CUNY
    Symmetries of meromorphic connections over Riemann Surfaces  (02/13/2009 and 02/27/2009)
    Entrée to Malgrange ideas: General Involutivity Theorem, III, IV (10/17/2008; 10/24/2008)
    Entrée to Malgrange ideas: General Involutivity Theorem, I, II  (10/03/2008; 10/10/2008)
    Hors d'oeuvre to Malgrange ideas: Jet Bundles, II (09/12/2008)
    Hors d'oeuvre to Malgrange ideas: Jet Bundles, I (09/05/2008)
  • Leonard Scott, University of Virginia
    Algebraic Group Representation, and Related Topics (11/6/2009)
  • Michael F. Singer, North Carolina State University
    Differential Groups and the Gamma Function  (12/12/2008)
  • William Sit, CCNY
    Differential Algebraic Subgroups of SL(2) (11/19/2010 and 12/17/2010)
    Algebraic Constraints on Initial Values of Differential Equations (05/08/2009, Joint work with F. Leon Pritchard)
    Enumeration of Rota-Baxter and differential Rota-Baxter words  (02/29/2008 and 03/07/2007, joint work with Li Guo)
    Computations and some open problems  (4/28/2006)
    Introduction to computational differential algebra, I & II  (Fall 2005)
  • Varadharaj Ravi Srinivasan, University of Oklahoma
    On Certain Towers of Extensions by Antiderivatives (09/26/2008)
  • Michael Tepper, The Graduate Center
    Height functions, Part 2  (2/10/2006)
    Height functions, Part 1  (2/3/2006)
  • Noson Yanosky, The Graduate Center and Brooklyn College
    Galois Theory of Algorithms  (9/3/2010)

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    Last updated December 6, 2011