Department of Mathematics


  •  Preston Wake, MSU
  •  Eisenstein congruences and class groups of pure fields
  •  01/12/2022
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Preston Wake (

Let p and N be primes and assume N is -1 modulo p. Then the class number of $\mathbf{Q}(N^{1/p})$ is divisible by p. I'll explain how to prove this using congruences between modular forms. This is joint work with Jackie Lang



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science