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)

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)

A brief introduction to schemes  (12/16/2005)

Picard-Vessiot extensions over number fields  (Diplomarbeit)

Characteristic set and resolvent for difference polynomial systems  (5/6/2006)

A bound for the order of derivatives in the Rosenfeld-Gröbner Algorithm  (3/18/2006)

Introduction to Rota-Baxter algebras  (02/15/08)
Classification of Rota-Baxter type operators  (04/24/2009; joint work with W. Sit and R. Zhang)

Differential Spectrum and Other Matters  (03/20/2009)

Symbolic computation for overdetermined systems of nonlinear differential equations  (12/15/2006)
Rational and algebraic invariants of a group action  (12/16/2006)

The infinite Quaternion group Q 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)

Partitioned Differential Quasifields, I and II (03/27/2009 and 04/03/2009)

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)

Differential Dimension Polynomials  (10/22/2005)

Embedding Differential Algebraic Groups in Algebraic Groups  (02/20/2009)
Embedding Differential Algebraic Groups in Algebraic Groups  (05/01/2009, expanded version)

Coherence and prime decomposition  (10/21/2005)
A generalization of Rosenfeld's Lemma  (10/22/2005)

Joint differential resolvents for pseudo-polynomials  (03/01/2008)

Standard differential bases  (4/7/2006)

Hors d'oeuvre to Malgrange ideas: Jet Bundles, I (09/05/2008)
Hors d'oeuvre to Malgrange ideas: Jet Bundles, II (09/12/2008)
Entrée to Malgrange ideas: General Involutivity Theorem, I, II  (10/03/2008; 10/10/2008)
Entrée to Malgrange ideas: General Involutivity Theorem, III, IV (10/17/2008; 10/24/2008)
Symmetries of meromorphic connections over Riemann Surfaces  (02/13/2009 and 02/27/2009)

Algebraic Group Representation, and Related Topics (11/6/2009)

Differential Groups and the Gamma Function  (12/12/2008)

Introduction to computational differential algebra, I & II  (Fall 2005)
Computations and some open problems  (4/28/2006)
Enumeration of Rota-Baxter and differential Rota-Baxter words  (02/29/2008 and 03/07/2007, joint work with Li Guo)
Algebraic Constraints on Initial Values of Differential Equations (05/08/2009), Joint work with F. Leon Pritchard)

On Certain Towers of Extensions by Antiderivatives (09/26/2008)

Height functions, Part 1  (2/3/2006)
Height functions, Part 2  (2/10/2006)

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Created by the KSDA Organizing Committee Last updated November 11, 2009