Brandon Alberts

activity

20162026

most citedHarmonic Analysis and Statistics of the First Galois Cohomology Group

9 citations · 21 across the 8 of their papers we have counts for

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2 papers · 1 filter

math.NT2026

Inertial multiplicity bounds for two dimensional projective representations and bounds for the number of $PSL_{2} (F_{q})$ and $PGL_{2} (F_{q})$ number fields

Brandon Alberts

We prove upper bounds for certain number field counting functions using Serre's modularity conjecture (now a theorem of Khare--Wintenberger). These results are comparable to sharp…

math.NT2026

Counting number fields using multiple Dirichlet series

Brandon Alberts, Alina Bucur

We provide a method for counting number fields of fixed Galois group ordered by arbitrary inertial invariants using analytic techniques from the study of multiple Dirichlet series.…

Inertial multiplicity bounds for two dimensional projective representations and bounds for the number of PSL2​(Fq​) and PGL2​(Fq​) number fields

Counting number fields using multiple Dirichlet series

Inertial multiplicity bounds for two dimensional projective representations and bounds for the number of $PSL_{2} (F_{q})$ and $PGL_{2} (F_{q})$ number fields