Omar
Le—n S‡nchez
Lecturer
of Pure Mathematics
Alan Turing
Building
Department of
Mathematics
University of
Manchester
Manchester M13
9PL, UK
Office #1.118
Tel. +44 (0) 161275 XXXX
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 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:
ÒMore on Galois cohomology, definability and differential algebraic groupsÓ
with D. Meretzky and A. Pillay.
Submitted. https://arxiv.org/pdf/2105.13053.pdf
ÒA Poisson basis theorem for symmetric
algebras of infinite-dimensional Lie algebrasÓ with S. Sierra. Submitted. https://arxiv.org/pdf/2008.02845.pdf
ÒDifferentially large fieldsÓ with
M. Tressl. Submitted. https://arxiv.org/pdf/2005.00888.pdf
PhD Thesis "Contributions to
the model theory of partial differential fields" omar.sanchez/uw-ethesis
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Teaching
á
I taught Foundations of Pure Mathematics B in Semester 1 2020/21.
á
Here are the lecture and tutorial notes of an introductory course to
ω-stable theories that I taught in the Fall
of 2016:
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StudentsÕ Work
á
Kathleen Lamont. MSc Dissertation 2021,
University of Manchester: Remarks
on the differential versions of the primitive element theorem and Hilbert basis
theorem.
á
Alberto Miguel G—mez, Summer
Project 2021 (funded by an LMS UG Research Bursary): Properties
of algebraically-d-closed fields
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Seminars
I am a co-organizer, together with Gareth Jones and
Marcus Tressl, of the Logic Seminar in the Department
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) (Cancelled due to COVID19) Together
with P. DÕAquino, P. Eleftheriou
and F. Point, I am co-organizing a mini-workshop on ÒTopological and
differential expansions of o-minimal structuresÓ. Oberwolfach,
MFO, October 2020.
(Past meetings)
(1)
Together with Stephane Launois
and Lewis Topley, I co-organized a meeting on ÒInteractions
between representation theory and model theoryÓ. University of Kent
(Canterbury) from 1st July to 5th July 2019. RepresentationandModelTheoryMeeting2019
(2) Together with Gareth Jones and Marcus Tressl, I co-organized a meeting on ÒApplications of the
model theory of fields with operatorsÓ. University of Manchester, from 17th
June to 20th Jun 2019. ModeltheoryMeetingManchester2019
(3) Together with Gareth Jones and Marcus Tressl, I co-organized a meeting on ÒModel-theoretic
methods in number theory and algebraic differential equationsÓ. University of
Manchester, from August 3 to August 5, 2018. ModeltheoryMeetingManchester2018