I am a Junior Research Fellow at Merton College, working in the Mathematical Physics group at the Mathematical Institute.
My research focuses on the interplay of physics and geometry in string theory. String theory is the best idea we have for a consistent theory that combines gravity and the quantum nature of space-time. This theory predicts extra spatial dimensions that influence our four-dimensional lives. Though they are too small to probe directly, the shape of these extra dimensions determines the particles and forces we observe. If we hope to make contact with the physics of our universe, we must have a deep understanding of these spaces and their geometry. The spaces have a rich structure due to supersymmetry and are complicated when viewed through the lens of conventional geometry, but, remarkably, they point to a new class of geometrical structures, known as 'generalised geometries'. One can think of these structures as a natural language for understanding low-energy physics from string theory. My work has pushed in two complementary directions: developing the underlying mathematics of these structures and using them to solve problems in physics.
+44 1865 611514
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Geometric structures in string theory, supergravity and AdS/CFT, and their connection with generalised geometry.
Major / Recent Publications:
"Exactly marginal deformations from exceptional generalised geometry", A. Ashmore et al, https://arxiv.org/abs/1605.05730
"The exceptional generalised geometry of supersymmetric AdS backgrounds", A. Ashmore, M. Petrini and D. Waldram, https://arxiv.org/abs/1602.02158
"Exceptional Calabi-Yau spaces: the geometry of N=2 backgrounds with flux", A. Ashmore and D. Waldram, https://arxiv.org/abs/1510.00022
"Calabi-Yau three-folds: Poincare polynomials and fractals", A. Ashmore and Y.-H. He, https://arxiv.org/abs/1110.1612
"Numerical analysis of space-charge effects in electron bunches at laser-driven plasma accelerators", A. Ashmore, R. Bartolini and N. Delerue, https://arxiv.org/abs/1008.4823