Mary Letey
PhD Student in Applied Mathematics
Hello There!
I’m Mary, currently a PhD student in theoretical machine learning supervised by Professor Cengiz Pehlevan.
I enjoy working in a wide range of Applied Maths areas, from early-universe cosmology to machine learning and ML4Physics. During my PhD, I’m excited to develop techniques for understanding how properties of neural network emerge through complex interactions of operations, and the role that structure in data plays in such theories.
I’m always happy to discuss my work and related topics, please reach out!
PhD in Applied Mathematics, 2023 - Present
Harvard University, School of Engineering and Applied Sciences
MSc in Theoretical Physics, 2022 - 2023
Perimeter Institute for Theoretical Physics
BA in Mathematics, 2018 - 2022
University of Cambridge, St Johns College
Publications
Projects
Supervisor: Professor Latham Boyle. Master’s Essay. Towards constructing a mathematical framework to generalise the use of reflection groups in classifying discrete symmetries of Lorentzian spaces. We present a generalisation of the notion of crystallographic symmetry, an important property in the classical study of lattices and reflection groups, and then demonstrate substantial differences between reflection groups in Euclidean spaces vs Lorentzian spaces.
Supervisor: Professor Freddy Cachazo. Investigating tree-level scattering amplitudes for gluons in Yang-Mills. By utilising colour decomposition, we consider partial amplitude formulas in the case of 3 negative-helicity gluons; in particular, we study their singularity structure using projective geometry.
Supervisors: Professor Roger Melko, Schuyler Moss. Extending recent work pioneered at PiQuIL in approximating the groundstate wavefunction of a quantum lattice system using Recurrent Neural Networks: Investigated the affect of error and noisiness of the quantum data on the accuracy of the wavefunction and other physical quantities.