Tags → #thesis

BSc – Integrated Density of States of Random Schrödinger Operators with AlloyType Potential
In my BSc thesis I worked on topics related to random Schrödinger operators and the FeynmanKac formula.

MASt – Interlacing Families and the Kadison–Singer Problem
In my essay for the Part III course in Cambridge I studied breakthrough papers on interlacing polynomials by Marcus, Spielman and Srivastava. Using this innovative approach they proved the long standing KadisonSinger conjecture from operator algebra theory, and proved the existence of bipartite Ramanujan graphs of arbitrary degree.

MSc – Phase Transition in the Density of States of Quantum Spin Glasses
In my master thesis I worked on quantum spin glasses. The main novel finding was a phase transition between a semicircular and Gaussian density of states.

PhD – From Dyson to Pearcey: Universal Statistics in Random Matrix Theory
In my PhD thesis I worked on three challenging problems in random matrix theory: (1) Universality of random matrices with correlated entries, (2) Pearceykernel universality at cusp points, and (3) entrywise linear statistics and Young tableaux.