Dr Omar Leon Sanchez - research


 

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.

For my publications click on the "Publications" tab. 

Here are some recent 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. 128.84.21.199/pdf/1703.00509.pdf

My PhD thesis "Contributions to the model theory of partial differential fields" personalpages.manchester.ac.uk/staff/omar.sanchez/uw-ethesis

My CV personalpages.manchester.ac.uk/staff/omar.sanchez/CV

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