Scott Huai-Lei Carnahan
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My research is primarily concerned with the mathematics of Monstrous Moonshine. This field of study was initiated by apparent connections between the theory of modular functions and the representation theory of the monster simple group. My recent work has concerned the construction of automorphic functions using generalized Kac-Moody Lie algebras, applications of logarithmic algebraic geometry to the theory of vertex algebras, and questions about category-theoretic structures in field theory.
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