I am a DPhil (Maths) student at in the Mathematical Institute, University of Oxford.
My supervisor is Prof. Konstantin Ardakov. I am interested in representations arising from the cohomology of modular curves, and using geometric representation theory to understand them.
I did my BA and MMath at Oxford. My part C dissertation “Crystal Graphs and the representation theory of the symmetric group” was supervised by Prof. Kevin McGerty.
T. Assiotis, B. Bedert, M. A. Gunes, and A. Soor. Moments of generalized Cauchy random matrices and continuous-Hahn polynomials. Nonlinearity, 34(7):4923–4943, 2021. arXiv:2009.04752.
T. Assiotis, B. Bedert, M. A. Gunes, and A. Soor. On a distinguished family of random variables and Painlevé equations. Probability and Mathematical Physics, 2:613–642, 2022. arXiv:2009.04760.
T. Assiotis, M. A. Gunes, and A. Soor. Convergence and an explicit formula for the joint moments of the circular Jacobi β-ensemble characteristic polynomial. Mathematical Physics Analysis and Geometry, 2021. arXiv:2110.05406.
P. Velvaluri, A. Soor, P. Plucinsky, R. Lima de Miranda, R. D. James, and E. Quandt. Origami-inspired thin-film shape memory alloy devices. Scientific Reports, 11(1):10988, 2021.
I gave a series of talks about locally analytic vectors of completed cohomology from May-June 2022. Notes.
“Joint moments of characteristic polynomials of random unitary matrices”, Oxford junior number theory (March 2022). Slides.
“Weil groups, Weil-Deligne representations and class field theory”. Langlands reading group, Oxford (February 2022).
“Hodge-Tate representations”. p-adic Hodge theory reading group, Oxford (February 2022). Notes.
“Origami with conformal and helical symmetry”, a 20-minute talk I gave at the SIAM MS21 conference (May 2021). Slides.