Omar León Sánchez

   Turing Research Fellow in Pure Mathematics

 

     Alan Turing Building 


      School of Mathematics 


      University of Manchester 


      Manchester M13 9PL, UK

      Office #1.111

        Tel. +44 (0) 161275 5885

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

 

Recent Preprints: 

“Differential Weil descent and differentially large fields” with M. Tressl. Submitted. https://arxiv.org/pdf/1807.09317.pdf

“Effective definability of Kolchin polynomials” with J. Freitag and W. Li. Submitted. https://arxiv.org/pdf/1806.02060.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

 

Š      Last Semester I taught the Galois theory course at the University of Manchester 2018/2019.

Š      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 and Marcus Tressl, 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

 

        1) Together with Alf Onshuus, I am co-organizing a Special Session in “Logic and Universal Algebra” at the 2019 Latinamerican Algebra Colloquium during August 2019. AlgebraColloquium2019

 

        2) Together with Stephane Launois and Lewis Topley, I am co-organizing a meeting on “Interactions between representation theory and model theory” to be held at the University of Kent (Canterbury) from 1st July to 5th July 2019. RepresentationandModelTheoryMeeting2019

 

        3) Together with Gareth Jones and Marcus Tressl, I am co-organizing a meeting on “Applications of the model theory of fields with operators” to be held in the School of Mathematics, University of Manchester, from 17th June to 20th Jun 2019. ModeltheoryMeetingManchester2019

 

(Past meeting) Together with Gareth Jones and Marcus Tressl, I co-organized a meeting on “Model-theoretic methods in number theory and algebraic differential equations”. It took place at the School of Mathematics, University of Manchester, from August 3 to August 5, 2018. To see the Conference Photo follow the Meeting's Website