Research Statement: Steven J Miller

Research Statement : Steven

Research and Applied Interests: Distribution of zeros and n-level statistics for families of L-functions, especially families of elliptic curves with rank over Q(T ), Random Matrix Theory, Random Graphs, Elliptic Curves, Additive, Analytic, Combinatorial and Computational Number Theory, Probability Theory and Statistics, Benford’s Law, Cryptography, Sabermetrics, Linear Programming and Operatio...

Research Statement : Steven J Miller Steven

My main interest is analytic number theory and random matrix theory (especially the distribution of zeros of L-functions and the eigenvalues of random matrix ensembles); I am also studying equidistribution problems in analysis and probability, and working on applied problems in probability, statistics, graph theory, cryptography, sabermetrics and linear programming where the tools and technique...

Algebraic and Transcendental Numbers from an Invitation to Modern Number Theory

Applications of Probability: Benford’s Law and Hypothesis Testing from an Invitation to Modern Number Theory

2009 Graduate Workshop on Zeta functions, L-functions and their Applications

These notes were TeXed in real-time by Steven J. Miller; all errors should be attributed to the typist. 1 Conrey: Random Matrix Theory and analytic number theory 1.