Daeyeol Jeon

On the Torsion of Elliptic Curves Over Quartic Number Fields

We determine which groups

Families of elliptic curves over quartic number fields with prescribed torsion subgroups

{\mathbb{Z}}/M{\mathbb{Z}}\oplus{\mathbb{Z}}/N{\mathbb{Z}}

On the arithmetic of certain modular curves

occur infinitely often as torsion groups

Rank-one quadratic twists of an infinite family of elliptic curves

E(K)_{\operatorname{tors}}

Normalizers of intermediate congruence subgroups of the Hecke subgroups

when

TETRAGONAL MODULAR CURVES X1(M; N)

K

On the torsion of elliptic curves over cubic number fields

varies over all quartic number fields and

Bielliptic modular curves X₁(N)

E

Traces of Singular Moduli of Arbitrary Level Modular Functions

varies over all elliptic curves over

Weak Maass–Poincaré series and weight 3/2 mock modular forms

K