Research

Pow-Wow, the Indian Boy

My research interests are Differential Galois Theory and related topics such as Algebraic Groups and Computer Algebra.

Recent papers (PDF files available in the Papers link on the left):

Articles published or in press:
  1. Differential central simple algebras and Picard-Vessiot representations, with Andy Magid, Proc. Amer. Math. Soc. 136 (2008), 1911-1918.
  2. On generic differential SOn-extensions, with Arne Ledet, Proc. Amer. Math. Soc. 136 (2008), 1145--1153.
  3. On Picard-Vessiot extensions with group PGL3, with Arne Ledet, Journal of Algebra, 318 (2007), no. 2, 786--793.
  4. Equivariant vector fields on non-trivial SOn-torsors and Differential Galois Theory, with Arne Ledet, Journal of Algebra, 316 (2007), no. 2, 735--745.
  5. Generic Picard-Vessiot extensions for connected-by-finite groups, Journal of Algebra, 312 (2007), no. 1, 194--206.
  6. Generic rings for Picard-Vessiot extensions and generic differential equations , with Andy Magid, Journal of Pure and Applied Algebra, 209 (2007), no. 3, 793--800.
  7. Pure Picard-Vessiot extensions with generic properties, Proceedings of the AMS, 132 (2004), no. 9, 2549--2556.
  8. Principal differential ideals and a generic inverse differential Galois problem for GLn, Communications in Algebra 30 (2002), no. 12, 6071--6103.
Preprints
  1. Differential `Galois' extensions with new constants (2008), with Andy Magid.
  2. Picard-Vessiot extensions with specified Galois Group (2008), with Ted Chinburg and Andy Magid.
  3. Generic Picard-Vessiot extensions for non-connected groups (2007), with Arne Ledet.