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Jane Shi

Introduction

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L-functions

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Modular forms

ClassicalMaass
HilbertBianchi

Varieties

Elliptic curves
over $\Q$
over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Fields

Number fields
$p$-adic fields

Representations

Dirichlet characters
Artin representations

Groups

Galois groups
Sato-Tate groups
Abstract groups
groups
subgroups
characters
conjugacy classes

Database

  • ID: Janeshi

Knowls

Jane Shi has contributed to these Knowls: Additive reduction, Base change, Classical modular form, Congruence subgroup, Cuspidal modular form, Cuspidal modular form (mathlib), Cuspidal subspace (mathlib), Dedekind eta function, Dimension, Dimension (mathlib), Discriminant of a Weierstrass equation, Elliptic curve over $\mathbb Q$ , Elliptic curve over a field, Fourier coefficients of a modular form, Fourier coefficients of a modular form (mathlib), Good reduction, Holomorphic Eisenstein series of level 1, Integral model, Isomorphism between Weierstrass models, Isomorphism of elliptic curves, Local minimal model, Mordell-Weil group, Multiplicative reduction, Petersson scalar product, Petersson scalar product (mathlib), Rank of an elliptic curve over a number field, Simplified equation, Spaces of modular forms, Spaces of modular forms (mathlib), Split multiplicative reduction, Subspaces of modular forms, Torsion subgroup of an elliptic curve, Torsion subgroup of an elliptic curve over $\mathbb Q$, Weierstrass equation or model, j-invariant of a rational elliptic curve, j-invariant of an elliptic curve, q-expansion of a modular form, q-expansion of a modular form (mathlib)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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