Omar León Sánchez
Turing Research Fellow in Pure Mathematics
Alan Turing Building
School of Mathematics
University of Manchester
Manchester M13 9PL, UK
I mostly work on model theoretic algebra and its applications to other areas of mathematics. In particular, I am interested in the model-theoretic properties of certain classes of fields with operators (such as differential/difference operators and Poisson brackets). I also work on problems related to differential Galois theory and differential algebraic geometry.
For my list of publications follow: http://www.maths.manchester.ac.uk/people/staff/profile/?ea=omar.sanchez&pg=4
1) “Estimates for the coefficients of differential dimension polynomials”. Submitted. https://18.104.22.168/pdf/1703.00509.pdf
2) (with S. Launois) “On the Dixmier-Moeglin equivalence for Poisson-Hopf algebras”. Submitted. https://arxiv.org/pdf/1706.01279.pdf
PhD Thesis "Contributions to the model theory of partial differential fields" http://personalpages.manchester.ac.uk/staff/omar.sanchez/uw-ethesis
1) I will be teaching the Galois theory course at the University of Manchester in the Winter of 2018 (see Galois Theory Website for details).
2) Here are the lecture and tutorial notes of an introductory course to ω-stable theories that I taught at the University of Manchester in the Fall of 2016:
I am a co-organizer, together with Gareth Jones, of the Logic Seminar in the School of Mathematics at the University of Manchester (click on Logic Seminar for upcoming talks). If you are in the UK (based or visiting) and interested in giving a talk, feel free to contact me at email@example.com