Mathematical physics, including mathematics, is a research area where novel mathematical techniques are invented to tackle problems in physics, and where novel mathematical ideas find an elegant physical realization. Historically, it would have been impossible to distinguish between theoretical physics and pure mathematics. Often spectacular advances were seen with the concurrent development of new ideas and fields in both mathematics and physics. Here one might note Newton's invention of modern calculus to advance the understanding of mechanics and gravitation. In the twentieth century, quantum theory was developed almost simultaneously with a variety of mathematical fields, including linear algebra, the spectral theory of operators and functional analysis. This fruitful partnership continues today with, for example, the discovery of remarkable connections between gauge theories and string theories from physics and geometry and topology in mathematics.
Format results
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Perimeter Institute for Theoretical Physics
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Topological Quantum Field Theories Lecture 20231208
Perimeter Institute for Theoretical Physics -
Partition counting, instantons and enumerative geometry
Heriot-Watt University -
Spark algebras and quantum groups
University of Edinburgh -
Topological Quantum Field Theories Lecture 20231201
Perimeter Institute for Theoretical Physics -
Monster Lie Algebra: Friend or Foe?
Emory University -
Twisted Holography Mini-Course - Lecture 20231130
Perimeter Institute for Theoretical Physics -
Topological Quantum Field Theories Lecture 20231124
Perimeter Institute for Theoretical Physics -
Building blocks of W-algebras and duality
University of Alberta -
Twisted Holography Mini-Course - Lecture 20231123
Perimeter Institute for Theoretical Physics -
Twisted Holography Mini-Course - Lecture 20231116
Perimeter Institute for Theoretical Physics -
Topological Quantum Field Theories Lecture 20231110
Perimeter Institute for Theoretical Physics