Leon Sanchez, Omar

Postdoctoral Fellow

SanchezDept. of Mathematics & Statistics, McMaster University
1280 Main Street West
Hamilton, Ontario,
Canada L8S 4K1
905-525-9140, ext. 27365
905-522-0935 (fax)

Office: HH/423

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Website: http://mcmaster.academia.edu/OmarLeonSanchez



Teaching

Courses 2013/14
Math 1LS3 C03 Fall Term
Math 1LS3 C04 winter Term

http://ms.mcmaster.ca/oleonsan

Office Hours:
Monday: 10:00-11:00 am
Wednesday:  10:00-11:00 am

 



Research

Research Area:   Model Theory, Differential and Difference Algebra

Research Profile
I am interested in the interaction of geometric stability theory (a branch of model theory) and differential (and difference) algebraic geometry. This includes the study of the geometric Galois theory associated to "logarithmic" differential equations. I am also interested in the study of the model theoretic properties of theories of fields with general types of (Hasse- Schmidt) operators.



Publications

Publications

  • "Relative D-groups and differential Galois theory in several derivations". To appear in Transactions of the AMS.

  • "Geometric axioms for differentially closed fields with several commuting derivations". Journal of Algebra. Vol. 362, pp.107-116, 2012. (Corrigendum, Vol. 382, pp.332-334, 2012)

  • "The Clifford-Fourier transform F_0 and monogenic extensions" (with Arnoldo Bezanilla). Advances in Applied Clifford Algebras. Vol. 21, Number 4, pp.757-772, 2010.

  • "Fundamental Theorem of Calculus" (with Garret Sobczyk). Advances in Applied Clifford Algebras. Vol. 21, Number 1, pp. 221-231, 2010.