Kolchin Seminar in Differential Algebra
KSDA Home     Graduate Center Series     Hunter College Series
People     Posted Papers     Conferences

We will post links to slides, papers, lecture notes on this page as they become available.
Click here for papers posted before 2005.

  • 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 Avatars  (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)
  • Shaoshi Chen, North Carolina State University
    Rooks, Recurrences and Residues (10/19/2012), Joint work with Manuel Kauers (RISC) and Michael F. Singer (NCSU)
  • Richard Churchill, Hunter College and The Graduate Center
    Kolchin's Proof that Differential Galois Groups are Algebraic (09/05/2014)
    Transcendentals, The Goldbach Conjecture, and the Twin Prime Conjecture (08/30/2013; updated 09/01/2013)
    A Set-Theoretical Approach to Model Theory (02/08/2013; revised 04/04/2013)
    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)
  • Christian Dönch, RISC, Johannes Kepler University, Linz
    Evaluation of the Strength of Systems of Partial Differential and Difference Equations via Differential and Difference Dimension Polynomials  (02/03/2012)
  • Tobias Dyckerhoff, University of Pennsylvania and Universitat Heidelberg
    Picard-Vessiot extensions over number fields  (Diplomarbeit)
  • James Freitag, University of California at Berkeley
    Indecomposability  (11/16/2012)
    A Note on Canonical Bases in Partial Differential Fields (11/16/2012)
  • 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
    Free Integral Differential Algebras;  (04/25/2014; joint work with G. Regensburger, M. Rosenkranz, X. Gao, and S. Zheng)
    On Integro-Differential Algebras  (05/13/2013; joint work with G. Regensburger and M. Rosenkranz)
    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)
    Differential Type Operators, Rewriting Systems and Gröbner-Shirshov Bases  (04/27/12)
  • Raymond Hoobler, City College and Graduate Center, CUNY
    Rethinking Picard-Vessiot Theory  (09/27/2013)
    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)
  • Thomas Drefus, Institute of Mathematics of Jussieu
    A Density Theorem for Parameterized Differential Galois Theory  (01/31/2014)
  • Uma Iyer, Bronx Community College, CUNY
    On the Quantum Torus  (04/28/2012)
    Generic Base Algebras and Universal Comodule Algebras for Some Finite Dimensional Hopf Algebras (12/13/2013)
  • 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)
  • Victor Kac, Massachusetts Institute of Technology
    Algebraic Theory of Integrable Systems (05/16/2014)
  • 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)
  • Igor Krichever, Columbia University
    Analytic Theory of Difference Equations with Rational Coefficients (03/01/2013)
  • 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)
  • Alice Medvedev, The City College of The City University of New York
    Difference Algebraic Geometry in/for Hrushovski's Frobenius Paper  (10/04/2013)
  • Sally Morrison, Bucknell University
    A generalization of Rosenfeld's Lemma  (10/22/2005)
    Coherence and prime decomposition  (10/21/2005)
  • John Nahay, Bioenergia America, LLC, Princeton, NJ
    Entropy: Why Doing Nothing at all is Better than Doing Anything (12/14/2012; last revised 03/01/2013)
    The Wall of Complexity: Summations Over Partitions of Integers (10/12/2012)
    Joint Differential Resolvents for Pseudo-Polynomials  (03/01/2008)
  • Alexey Ovchinnikov, Queens College, CUNY
  • Eugeny Pankratiev, Moscow State University
       A. I. Zobnin, Moscow State University
    Standard differential bases  (4/7/2006)
  • Markus Rosenkranz, University of Kent at Canterbury, UK
    Integro-Differential Polynomials and Free Integro-Differential Algebras  (7/7/2014)
    A Differential Algebra Approach to Linear Boundary Problems  (7/7/2014)
    A Noncommutative Mikusinski Calculus for Linear Boundary Problems  (7/8/2014)
    Software for Symbolic Boundary Problems and Applications in Actuarial Mathematics  (7/8/2014)
    Singular Boundary Problems and Generalized Green's Operators  (7/8/2014)
  • Sonia Luisa Rueda Perez, Universidad Politenica de Madrid
    Sparse Resultant Forumulas for Differential Polynomials  (7/7/2014)
  • 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)
  • Thomas Scanlon, University of California at Berkeley
    D-fields as a Common Formalism for Difference and Differential Algebra (10/18/2013)
  • Leonard Scott, University of Virginia
    Algebraic Group Representation, and Related Topics (11/6/2009)
  • William Simmons, University of Illinois, Chicago
    Identifying Complete Differential Varieties  (03/09/2012)
  • Michael F. Singer, North Carolina State University
    Differential Groups and the Gamma Function  (12/12/2008)
  • William Sit, CCNY
    Basics of Dimension in Differential Algebra (02/22/2013)
    Anomaly of Intersections in Differential Algebra (02/10/2012)
    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)

    Hosted by
    Created by the KSDA Organizing Committee
    Last updated September 2, 2014