
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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Free-to-Interacting Maps and the Bott Spiral
Cameron Krulewski Massachusetts Institute of Technology
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Non-vanishing of quantum geometric Whittaker coefficients
Ekaterina Bogdanova Harvard University
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Lecture - Classical Physics, PHYS 776
Aldo Riello Perimeter Institute for Theoretical Physics
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A new tangential structure for type IIA string theory
Matthew Yu University of Oxford
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Production of Solar Scalars
Anne Davis University of Cambridge
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Probing quantum gravity at all scales
Astrid Eichhorn Universität Heidelberg
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Simulating a Quantised Black Hole
Ruth Gregory King's College London
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Town Hall - Fundamental aspects of Modified gravity
Adam Solomon, Andrew Tolley, Astrid Eichhorn, Sergey Sibiryakov