Publications

Papers

Patching over Fields. With D. Harbater.
Accepted for publication in Israel Journal of Mathematics. Available on the arXiv preprint server.

Jacobians of Reflection Groups. With Anne V. Shepler .
Trans. Amer. Math. Soc. 360, No.1, 123-133 (2008).

Patching and differential Galois groups (joint work with David Harbater).
In: Arithmetic and Differential Galois Groups, Oberwolfach reports 4, No.2, European Mathematical Society (2007).1

Reflection Groups and Differential Forms. With Anne V. Shepler . Math. Res. Lett. 14, No. 5-6, 955-971 (2007).

On the inverse problem in differential Galois theory.
J. Reine Angew. Math. (Crelle) 586, 21--44 (2005).

Invariants and Differential Galois Groups in Degree 4
In: Differential Galois Theory, Banach Center Publications Vol. 58, T. Crespo and Zbigniew Hajto (eds.), 2002.

Transvection Free Groups and Invariants of Polynomial Tensor Exterior Algebras
Transformation Groups, Vol. 6, No. 2, 2001, pp. 157-164

Preprints etc.

Applications of Patching to Quadratic Forms and and Central Simple Algebras. With D. Harbater and D. Krashen. Submitted. Available on the arxiv preprint server

Admissibility of Groups and Patching. With D. Harbater and D. Krashen. In preparation.

Patching and Differential Modules. With D. Harbater. In preparation.

Differential Galois Theory in Positive Characteristic
Notes from a class given by B.H. Matzat, IWR-Preprint No. 2001-35

Dissertation

On the Inverse Problem in Differential Galois Theory
available from www.ub.uni-heidelberg.de/archiv/3085

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