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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The anomaly of the duality symmetry in type IIB string theory
University of Texas - Austin -
On the perturbation theory for spectra in quantum mechanics
Institut des Hautes Etudes Scientifiques (IHES) -
Twisted eleven-dimensional supergravity and exceptional Lie algebras
Ludwig-Maximilians-Universität München (LMU) -
Twistors, integrability, and 4d Chern-Simons theory
Perimeter Institute for Theoretical Physics -
Twisted Character Varieties and Quantization via Factorization Homology
University of Montpellier -
Hitchin map as spectrum of equivariant cohomology
Institute of Science and Technology Austria -
Holomorphic surfaces from determinants
Perimeter Institute for Theoretical Physics -
On generalized hyperpolygons, Higgs bundles and branes
University of Illinois at Chicago -
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The standard model, left/right symmetry, and the "magic square"
University of Edinburgh -
Discussion Session
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Tata Institute for Fundamental Research
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University of Regensburg
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Humboldt University of Berlin
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