Refined spectral reciprocity produces explicit subconvex bounds for L(1/2, π × π') that improve all known results over Q and yield applications to equidistribution and dihedral QUE.
Relative trace formula and twistedL-functions: the Burgess bound
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Develops multiple Dirichlet series methods to count G-extensions for infinitely many new Galois groups G, with unconditional results for concentrated groups and conditional asymptotics including all nilpotency class 2 groups.
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Rankin--Selberg Subconvexity via Spectral Reciprocity
Refined spectral reciprocity produces explicit subconvex bounds for L(1/2, π × π') that improve all known results over Q and yield applications to equidistribution and dihedral QUE.
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Counting number fields using multiple Dirichlet series
Develops multiple Dirichlet series methods to count G-extensions for infinitely many new Galois groups G, with unconditional results for concentrated groups and conditional asymptotics including all nilpotency class 2 groups.