Full name:  Boris Zilber  Affiliation:  Mathematical Institute 
University of Oxford, and  
Merton College, Oxford  
Address:

2429 St Giles  Phone:  (+44)(0) 1865 273537 
Oxford, OX1 3LB  Fax:  (+44)(0) 1865 273583  
United Kingdom  email:  zilber_at_maths.ox.ac.uk  
Teaching
c/Msc Course
Axiomatic Set TheoryTeaching assistant: Bernhard Elsner (elsner@maths.ox.ac.uk)
Lecture Notes (pdf) chapters 012
Problem sheets (pdf) week 1 week 2 week 3 week 4 week 5 week 6 week 7
Graduate Courses
Elements of Geometric Stability Theory (pdf)
Zariski GeometriesZariski Geometries are abstract structures in which a suitable generalisation of Zariski topology makes sense. Algebraic varieties over an algebraically closed field and compact complex spaces in a natural language are examples of Zariski geometries. The main theorem by Hrushovski and the lecturer states that under certain nondegeneracy conditions a 1dimensional Zariski geometry can be identified as an algebraic curve over an algebraically closed field. The proof of the theorem exhibits, as a matter of fact, a way to develop algebraic geometry from purely geometric abstract assumptions not involving any algebra at all. Recent works in model theory of complex manifolds, differential fields and noncommutative geometry point to exciting perspectives for the theory.

ResearchSurvey papers and some talksPublications and preprints 
Links: