Noah Snyder: Research Statement Quantum Algebra and Quantum Topology I work in an area at the intersection of representation theory, low-dimensional topology, higher category theory, and operator algebras which is often

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Mathematisches Forschungsinstitut Oberwolfach Report NoGeometric Topology and Connections with Quantum Field Theory

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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;

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

Non-local spin field theories in dimension three Matthias Kreck, Stephan Stolz and Peter Teichner August 29, 2014 1

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• Topology
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• Surgery theory
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• Arf invariant
• Cobordism

Winter School From Field Theories to Elliptic Objects Schloss Mickeln, February 28 — March 4, 2006 Graduiertenkolleg 1150: Homotopy and Cohomology Prof. Dr. G. Laures, Universit¨at Bochum Dr. E. Markert, Universit¨at

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• Mathematics
• Theoretical physics
• Topology
• Mathematical physics
• K-theory
• Quantum mechanics
• Cohomology theories
• Algebraic topology
• Michael Atiyah
• AtiyahSinger index theorem
• Elliptic cohomology
• Quantum field theory

arXiv:0903.0340v3 [quant-ph] 6 JunPhysics, Topology, Logic and Computation: A Rosetta Stone John C. Baez Department of Mathematics, University of California

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• Category theory
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• Monoidal categories
• Lambda calculus
• Functors
• Algebraic topology
• Cartesian closed category
• Topological quantum field theory
• Morphism
• Natural transformation
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Supersymmetric field theories and generalized cohomology Stephan Stolz and Peter Teichner Contents 1. Results and conjectures 2. Geometric field theories

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• Topology
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• Algebra
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• Differential topology
• Mathematical physics
• Quantum field theory
• Cohomology theories
• Cobordism
• Topological quantum field theory
• Cohomology
• AtiyahSinger index theorem

On model theory, non-commutative geometry and physics Boris Zilber University of Oxford January 2, 2010

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• Algebra
• Abstract algebra
• Mathematics
• Scheme theory
• Algebraic varieties
• Algebraic structures
• Noncommutative geometry
• Quantum gravity
• Zariski topology
• Sheaf
• Differentiable manifold
• Algebraic geometry

Quantum Topology © European Mathematical Society Quantum Topol), 1–41 DOIQT/12

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• Algebra
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• Cohomology theories
• Supersymmetry
• Vector bundles
• Algebraic geometry
• Supermanifold
• Cohomology
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• De Rham cohomology
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MILNOR INVARIANTS AND TWISTED WHITNEY TOWERS Page 1 of 41 Abstract This paper describes the relationship between the first non-vanishing Milnor invariants of a

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• Topology
• Surgery theory
• Knot invariants
• Differential topology
• 3-manifolds
• Knot theory
• Link group
• Arf invariant
• Link concordance
• Cobordism
• Quantum invariant
• H-cobordism