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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. |
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)
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 Qand 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)
A topological approach to constrained points (Fall 2007, joint work with P. Cassidy and R. Churchill)
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)
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)
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)
Height functions, Part 1 (2/3/2006)
Height functions, Part 2 (2/10/2006)
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