Omar
León Sánchez
Senior Lecturer
of Pure Mathematics
Alan Turing
Building
Department of Mathematics
University of Manchester
Manchester M13 9PL, UK
Office #1.118
Email: omar.sanchez@manchester.ac.uk
My Manchester
Website ManchesterMathOLeonSanchez
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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 tame 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: omar.sanchez/publications
Recent preprints: omar.preprints/arXiv
PhD Thesis "Contributions to
the model theory of partial differential fields" omar.sanchez/uw-ethesis
Lecture Notes “Introduction to w-stable theories”
omar.sanchez/lecturewstabletheories
My CV omar.sanchez/CV
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Students’ Work
·
Shezad
Mohamed. PhD Dissertation 2024, University of Manchester: A
contribution to the model theory of fields with free operators.
·
Kai Ino.
PhD Dissertation 2022, University of Manchester: Model
theory of separably differentially closed fields.
·
Kathleen Lamont. MSc Dissertation
2021, University of Manchester: Remarks
on the differential versions of the primitive element theorem and Hilbert basis
theorem.
·
Alberto Miguel Gómez, Summer
Project 2021 (funded by an LMS UG Research Bursary): Properties
of algebraically-d-closed fields
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Logic Seminar
at Manchester
I am involved in the organisation of the Logic Seminar
in the Department of Mathematics, 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