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.
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Quantum Field Theory for Cosmology  Lecture 20240111
Achim Kempf University of Waterloo


Quantum Field Theory for Cosmology  Lecture 20240109
Achim Kempf University of Waterloo


Multiplicative Global Springer Theory  VIRTUAL
Marielle Ong University of Pennsylvania

Twisted Holography MiniCourse  Lecture 20231214
Davide Gaiotto Perimeter Institute for Theoretical Physics

Topological Quantum Field Theories Lecture 20231208
Lukas Mueller Perimeter Institute for Theoretical Physics

Partition counting, instantons and enumerative geometry
Richard Szabo HeriotWatt University

Spark algebras and quantum groups
Tudor Dimofte University of Edinburgh

Topological Quantum Field Theories Lecture 20231201
Lukas Mueller Perimeter Institute for Theoretical Physics

Monster Lie Algebra: Friend or Foe?
Maryam Khaqan Emory University