Tags → #thesis
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BSc – Integrated Density of States of Random Schrödinger Operators with Alloy-Type Potential
In my BSc thesis I worked on topics related to random Schrödinger operators and the Feynman-Kac formula.
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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 Kadison-Singer conjecture from operator algebra theory, and proved the existence of bipartite Ramanujan graphs of arbitrary degree.
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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.
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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) Pearcey-kernel universality at cusp points, and (3) entrywise linear statistics and Young tableaux.