Kevin Costello

Research Interests

My research uses tools from mathematics to explore string theory and quantum field theory. The long-term goal of my research is to provide rigorous constructions of (parts of) string theory with a view towards formulating string dualities in mathematical terms. My current focus is mainly on twisted forms of the AdS/CFT correspondence.

Recent Publications

• Twisted supergravity and its quantization, Kevin Costello and Si Li, 1606.00365
• Quantization of open-closed BCOV theory, I. Kevin Costello and Si Li. 1505.06703
• Integrable lattice models from four-dimensional field theories, Kevin Costello, 1308.0370
• Supersymmetric gauge theory and the Yangian, Kevin Costello, 1303.2632

Seminars

• Strings 2016, Beijing
• 6d little string theory, Peking University, Beijing
• Geometric unification from 6 dimensional physics, Banff
• The mathematics of quantum theory (in honour of Albert Schwarz), Davis California
• PIRSA:16060125, Learning Seminar on Maulik-Okounkov, 2016-06-23, Mathematical Physics
• PIRSA:16040069, Welcome and Opening Remarks, 2016-04-18, Deformation Quantization of Shifted Poisson Structures
• PIRSA:15100072, Basic aspects of 3d N=4 theories and symplectic duality, 2015-10-15, Mathematical Physics
• PIRSA:15090070, Condensed Matter and TFT Learning - An Overview, 2015-09-23, Mathematical Physics
• PIRSA:15040181, TBA, 2015-04-22, Superstring Perturbation Theory
• PIRSA:14100104, A Mathematician Looks at Supergravity and AdS/CFT, 2014-10-22, Superstring Perturbation Theory
• PIRSA:13030115, Supersymmetric gauge theory and the Yangian - continued, 2013-03-26, Colloquium
• PIRSA:13030114, Supersymmetric gauge theory and the Yangian, 2013-03-25, Colloquium