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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Dalhousie University
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Holomorphic-topological twists and TFT
University of Oxford -
Homology of the affine Grassmannian and quantum cohomologies
University of Toronto -
Affine Beilinson-Bernstein at the critical level for GL_2
The University of Texas at Austin -
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3d A-twist and analytic continuation of path integrals II
Perimeter Institute for Theoretical Physics -
Conformal geometry of random surfaces in 2D quantum gravity
Columbia University -
3d A-twist and analytic continuation of path integrals
Perimeter Institute for Theoretical Physics -
Integrability and Asymptotic Phenomena in Stochastic Vertex Models
Harvard University -
Rozansky-Witten theory via BV quantization II
Yale University -
Rozansky-Witten theory via BV quantization
Yale University