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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A new tangential structure for type IIA string theory
University of Oxford 

Production of Solar Scalars
University of Cambridge 
Probing quantum gravity at all scales
University of Southern Denmark 
Simulating a Quantised Black Hole
King's College London 
Town Hall  Fundamental aspects of Modified gravity
Adam Solomon, Andrew Tolley, Astrid Eichhorn, Sergey Sibiryakov 
Against Horndeski
McMaster University 
Extending EFT of inflation/dark energy to arbitrary background with timelike scalar profile
Yukawa Institute for Theoretical Physics 
Galileon Duality and its Generalizations
Imperial College London 
PostNewtonian limit of Lorentzviolating scalartensor theories
Rikkyo University