Authors conjecture an explicit leading constant for the number of number fields of bounded discriminant by transferring Manin philosophy to classifying stacks, plus related conjectures on multi-heights and local conditions.
Malle’s conjecture with multiple invariants.arXiv preprint arXiv:2211.16698
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2026 2verdicts
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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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The leading constant in Malle's conjecture
Authors conjecture an explicit leading constant for the number of number fields of bounded discriminant by transferring Manin philosophy to classifying stacks, plus related conjectures on multi-heights and local conditions.
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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.