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Algebra Number Theory

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Algebra Number Theory

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Research Frontiers in Modular Forms and L-functions

Study of modular forms, their Fourier expansions, and associated L-function properties with applications to number theory.

Exceptional Zeros and Vanishing Orders in L-functions
Automorphic Forms Beyond the Classical Spectrum
Modular Symbols and Cohomological Mysteries
p-adic Interpolation of L-function Values
Galois Representations from Noncongruence Modular Forms
Equidistribution Phenomena in Arithmetic Modular Varieties
Mock Modular Forms and Quantum Invariants
Central Critical Values and Arithmetic L-invariants
Analytic Continuation Beyond the Functional Equation
Higher Rank L-functions and Symmetric Power Lifts

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