Poizat’s bad fields and quantum groups Boris Zilber University of Oxford 27 September 2004 http://www.maths.ox.ac.uk/∼zilber

Source URL: people.maths.ox.ac.uk

NATURAL MODELS OF THEORIES OF GREEN POINTS arXiv:1401.3326v1 [math.LO] 14 Jan 2014 JUAN DIEGO CAYCEDO AND BORIS ZILBER Abstract. We explicitly present expansions of the complex field which are models of the theories of

Source URL: arxiv.org

Abstract Author: B. Zilber Title: The theory of exponential sums email: Mathematics Subject Classification 2000: 03C98, 11J81 We consider the theory of algebraically closed fields of characteristic

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Quantum Harmonic Oscillator as Zariski Geometry Boris Zilber and Vinesh Solanki September 24, 2009 1

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Zariski structures and noncommutative geometry B. Zilber University of Oxford http://www.people.maths.ox.ac.uk/ ∼zilber: Zariki Geometries (forthcoming book); A class of quantum Zariski geometries;

Source URL: people.maths.ox.ac.uk

• Algebra
• Abstract algebra
• Algebraic geometry
• Scheme theory
• Algebraic varieties
• General topology
• Zariski topology
• Zariski geometry
• Oscar Zariski
• Noetherian topological space
• ZariskiRiemann space
• Generic property

ANALYTIC ZARISKI STRUCTURES AND NON-ELEMENTARY CATEGORICITY BORIS ZILBER Abstract. We study analytic Zariski structures from the point of view of non-elementary model theory. We show how to associate an abstract elementa

Source URL: people.maths.ox.ac.uk

• Abstract algebra
• Algebra
• Mathematics
• Algebraic geometry
• Algebraic varieties
• Model theory
• Vector bundles
• Matroid theory
• Pregeometry
• Ample line bundle
• Morphism of algebraic varieties
• Dimension theory

Structural approximation Boris Zilber University of Oxford March 5,

Source URL: people.maths.ox.ac.uk

• Mathematics
• Model theory
• Abstraction
• Structure
• General topology
• Type
• Topological space
• Constructible universe
• Filter
• Ring
• Ultraproduct
• Metric space

Lectures on Zariski-type structures Part I Boris Zilber 1

Source URL: people.maths.ox.ac.uk

• Algebra
• Abstract algebra
• Mathematics
• Algebraic geometry
• Zariski geometry
• Algebraic variety
• Sheaf
• Irreducible component
• Ample line bundle
• Valuation
• Type
• Krull dimension

On model theory, non-commutative geometry and physics B. Zilber University of Oxford http://www.maths.ox.ac.uk/ e zilber/

Source URL: people.maths.ox.ac.uk

• Mathematics
• Academia
• Theoretical physics
• Metalogic
• Model theory
• Mathematical model
• Zariski geometry
• Noncommutative geometry
• Oscar Zariski

On systems of exponential sums with real exponents Boris Zilber April 18, 2011 In [Z2] we studied the theory of formal exponentiation (raising to powers) and proved that it is very nice (superstable

Source URL: people.maths.ox.ac.uk

• Algebra
• Mathematics
• Linear algebra
• Kernel
• Linear map
• Field extension
• Vector space
• Fredholm alternative