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

2016 - Winter, Term II
iSci 1A24


Office Hours

_______________________________

2014/2015 
Math 1LS3
Math 1ZC3


2013/2014

Math 1LS3 
Math 1LS3 

http://ms.mcmaster.ca/oleonsan




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

  • "On parameterized differential Galois extensions" (with Joel Nagloo). To appear in the Journal of Pure and Applied Algebra.

  •  

    "The model companion of differential fields with free operators" (with Rahim Moosa). To appear in the Journal of Symbolic Logic.

  • On bounds for the effective differential Nullstellensatz" (with Alexey Ovchinnikov). To appear in the Journal of Algebra.

  • "Effective uniform bounding in partial differential fields" (with James Freitag). To appear in Advances in Mathematics.

  • "On linear dependence over complete differential algebraic varieties" (with James Freitag and William Simmons). To appear in Communications in Algebra.

  • "Poisson algebras via model theory and differential algebraic geometry" (with Jason Bell, Stephane Launois and Rahim Moosa). To appear in the Journal of the EMS.

  • "On the model companion of partial differential fields with an automorphism". To appear in the Israel Journal of Mathematics.

  • "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.