Publications
Papers
- Patching Subfields of Division Algebras. With D. Harbater
and D. Krashen.
Trans. Amer. Math. Soc. 363 (2011), no. 6, 3335--3349.
- Applications of Patching to Quadratic Forms and and
Central Simple Algebras. With D. Harbater
and D. Krashen.
Invent. Math. 178 (2009), No.2, 231--263.
- A Local-Global Principle for Algebraic Group Actions and
Applications to Quadratic Forms (joint with David Harbater, Daniel Krashen).
In: Quadratic Forms and Linear Algebraic Groups, Oberwolfach reports 25/2009,
European Mathematical Society (to appear).
- A Local-Global Principle for Homogeneous Spaces and
Applications (joint with David Harbater, Daniel Krashen).
In: Field Arithmetic, Oberwolfach reports 5/2009,
European Mathematical Society (to appear).
- Patching over Fields. With D. Harbater.
Israel J. Math. 176 (2010), 61--107.
- 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).
- 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.
- Patching and Differential Modules. With D. Harbater. In preparation.
Dissertation
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