Omar León Sánchez

            Turing Fellow in Pure Mathematics

 

 

             Alan Turing Building 


             School of Mathematics 


            University of Manchester 


            Manchester M13 9PL, UK

            Email: omar.sanchez@manchester.ac.uk

 

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Research Interests

 

I am generally interested in model theoretic algebra and its applications to other areas of mathematics. I have particular interest in the model theory of certain classes of fields with operators (such as differential and difference operators). I am also interested in differential Galois theory and differential algebraic geometry.

 

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Follow this link for a list of publications: http://www.maths.manchester.ac.uk/people/staff/profile/?ea=omar.sanchez&pg=4

 

Preprints:

1)  (with R. Gustavson) "Effective bounds for the consistency of differential equations". Submitted. arxiv.org/pdf/1601.02995v3.pdf

2)  Algebro-geometric axioms for DCF_{0,m}". Submitted. arxiv.org/pdf/1601.04211v1.pdf

3)   (with J. Bell and R. Moosa) "D-groups and the Dixmier-Moeglin equivalence". Submitted. arxiv.org/pdf/1612.00069v1.pdf

4)  “Estimates for the coefficients of differential dimension polynomials”. Submitted. https://128.84.21.199/pdf/1703.00509.pdf

5)  (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

 

CV http://personalpages.manchester.ac.uk/staff/omar.sanchez/CV

 

 

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   Teaching

 

  In the Fall 2016 I taught. Here are the lecture and tutorial notes of an introductory course to omega-stable theories that I taught at the University of Manchester:

 

 http://personalpages.manchester.ac.uk/staff/omar.sanchez/Lecturesnotes

 

 http://personalpages.manchester.ac.uk/staff/omar.sanchez/Tutorials

 

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     Events

 

     To be announced…