Profile of Steven C. Hebert

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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...

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We use Young tableaux and Young symmetrizers to classify the irreducible representations over C of the symmetric group on n letters, Sn. We establish an isomorphism between a ring of all representations of finite symmetric groups and the ring of symmetric functions, and, as a corollary, prove the Frobenius formula for the characters of representations of Sn. We use the theory thus developed to ...

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Geometrical stability theory is a powerful set of model-theoretic tools that can lead to structural results on models of a simple first-order theory. Typical results offer a characterization of the groups definable in a model of the theory. The work is carried out in a universal domain of the theory (a saturated model) in which the Stone space topology on ultrafilters of definable relations is ...

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When biologist Graham Walker was introduced to DNA during a biology course at Carleton University in Canada, it was fascination at first sight. “I thought DNA was the coolest molecule in the world and decided I wanted to work on it,” says the recently elected National Academy of Sciences member. Since then, Walker’s research has helped explicate the structure and function of proteins involved i...

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ژورنال

عنوان ژورنال: Proceedings of the National Academy of Sciences

سال: 2006

ISSN: 0027-8424,1091-6490

DOI: 10.1073/pnas.0604149103