Omar León Sánchez

            Turing Research 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 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.

 

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For my list of publications follow: http://www.maths.manchester.ac.uk/people/staff/profile/?ea=omar.sanchez&pg=4

 

Recent Preprints:

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

 

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

 

 

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   Teaching

 

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:

 

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

 

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

 

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     Seminars

 

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 omar.sanchez@manchester.ac.uk

 

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     Events

 

     To come…