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Dominik Schröder

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.