1 citations · 2 across the 6 of their papers we have counts for
8 papers
Non-admissibility of some universal supersingular representations
Zachary Feng, Heejong Lee, Ray Li +2
Let be an unramified extension of degree with residue field . Let be an irreducible representation of over .…
Infinitesimal characters for the completed cohomology of over CM fields
Jelena Ivančić, Vaughan McDonald
Let be a prime, and let be a CM field containing an imaginary quadratic field in which splits. We show that the locally analytic vectors of Hecke eigenspaces in the ($p…
Eigenvarieties over CM fields and trianguline representations
Vaughan McDonald
We show that the Galois representations associated to points on certain (derived) eigenvarieties for over a CM field are trianguline with the expected Sen wei…
Sandpile Groups of Cayley Graphs of
Jiyang Gao, Jared Marx-Kuo, Vaughan McDonald +1
The sandpile group of a connected graph , defined to be the torsion part of the cokernel of the graph Laplacian, is a subtle graph invariant with combinatorial, algebraic, and g…
Möbius formulas for densities of sets of prime ideals
Michael Kural, Vaughan McDonald, Ashwin Sah
We generalize results of Alladi, Dawsey, and Sweeting and Woo for Chebotarev densities to general densities of sets of primes. We show that if is a number field and is any…
Primes with Beatty and Chebotarev conditions
Caleb Ji, Joshua Kazdan, Vaughan McDonald
We study the prime numbers that lie in Beatty sequences of the form and have prescribed algebraic splitting conditions. We prove that the density of primes…
Convolution Algebras for Finite Reductive Monoids
Jared Marx-Kuo, Vaughan McDonald, John M. O'Brien +1
For an arbitrary finite monoid and subgroup of the unit group of , we prove that there is a bijection between irreducible representations of with nontrivial -fixe…
Characters of Renner Monoids and Their Hecke Algebras
Andy Hardt, Jared Marx-Kuo, Vaughan McDonald +2
This paper gives a general algorithm for computing the character table of any Renner monoid Hecke algebra, by adapting and generalizing techniques of Solomon used to study the rook…