1 citations · 2 across the 9 of their papers we have counts for
14 papers
Further results on the paramodular Hecke algebra
Jennifer Johnson-Leung, Joshua Parker, Brooks Roberts
In this paper we further examine the structure of the graded paramodular Hecke algebra . We define a commutative subring of as the element…
Post-Hoc Understanding of Metaphor Processing in Decoder-Only Language Models via Conditional Scale Entropy
Lawhori Chakrabarti, Jennifer Johnson-Leung, Bert Baumgaertner +3
Metaphor requires a language model to resolve a token whose contextual meaning diverges from its basic literal sense. Understanding how transformer models organize this reinterpret…
An Explicit Theta Lift to Siegel Paramodular Forms
Jennifer Johnson-Leung, Nina Rupert
Let be a real quadratic extension of number fields. We construct an explicit map from an irreducible cuspidal automorphic representation of which contains…
The quaternionic Maass Spezialschar on split
Jennifer Johnson-Leung, Finn McGlade, Isabella Negrini +2
The classical Maass Spezialschar is a Hecke-stable subspace of the space of holomorphic Siegel modular forms of genus two and level one cut out by certain linear relations among Fo…
The paramodular Hecke algebra
Jennifer Johnson-Leung, Joshua Parker, Brooks Roberts
We give a presentation via generators and relations of the local graded paramodular Hecke algebra of prime level. In particular, we prove that the paramodular Hecke algebra is isom…
Stable Klingen Vectors and Paramodular Newforms
Jennifer Johnson-Leung, Brooks Roberts, Ralf Schmidt
We introduce the family of stable Klingen congruence subgroups of GSp(4). We use these subgroups to study both local paramodular vectors and Siegel modular forms of degree with…
Fourier coefficients for twists of Siegel paramodular forms (expanded version)
Jennifer Johnson-Leung, Brooks Roberts
In this paper, we calculate the Fourier coefficients of the paramodular twist of a Siegel modular form of paramodular level by a nontrivial quadratic Dirichlet character mod $p…
Appendix to "Twisting of Siegel paramodular forms"
Jennifer Johnson-Leung, Brooks Roberts
In this appendix we present an expanded version of Section 4 of our paper arXiv:1404.4596, including the proofs of all of the technical lemmas.
Twisting of Siegel paramodular forms
Jennifer Johnson-Leung, Brooks Roberts
Let be the space of Siegel paramodular forms of level and weight . Let and let be a nontrivial quadratic Dirichlet character mod $…
The local equivariant Tamagawa number conjecture for almost abelian extensions
Jennifer Johnson-Leung
We prove the local equivariant Tamagawa number conjecture for the motive of an abelian extension of an imaginary quadratic field with the action of the Galois group ring for all sp…
Twisting of paramodular vectors
Jennifer Johnson-Leung, Brooks Roberts
Let be a non-archimedean local field of characteristic zero, let be an irreducible, admissible representation of $\GSp(4,F)$ with trivial central character, and let …
Siegel modular forms of degree two attached to Hilbert modular forms
Jennifer Johnson-Leung, Brooks Roberts
Let E/Q be a real quadratic field and pi_0 a cuspidal, irreducible, automorphic representation of GL(2,A_E) with trivial central character and infinity type (2,2n+2) for some non-n…
Igusa class polynomials, embeddings of quartic CM fields, and arithmetic intersection theory
Helen Grundman, Jennifer Johnson-Leung, Kristin Lauter +3
Bruinier and Yang conjectured a formula for an intersection number on the arithmetic Hilbert modular surface, CM(K).T_m, where CM(K) is the zero-cycle of points corresponding to ab…
On the equivariant and the non-equivariant main conjecture for imaginary quadratic fields
Jennifer Johnson-Leung, Guido Kings
The Iwasawa main conjecture fields has been an important tool to study the arithmetic of special values of -functions of Hecke characters of imaginary quadratic fields. To obtai…