Research Directions in Number Theory

From Fontaine-Mazur Conjecture to Analytic Pro-p-Groups: A Survey (Abdellatif).- Orientations and Cycles in Supersingular Isogeny Graphs (Stange).- Generalized Ramanujan-Sato Series Arising from Modular Forms (Swisher).- Mock Theta Functions and Related Combinatorics (Ballantine).- Transcendental Lattices of Certain Singular K3 Surfaces (Bertin).- Power-Saving Error Terms for the Number of D4-Quartic Extensions over a Number Field Ordered by Discriminant (Lopez).- Dynamical Mahler Measure: a Survey and Some Recent Results (Lalin).- Geometric Decomposition of Abelian Varieties of Order 1 (Kedlaya).- On Marko Type Surfaces over Number Fields and the Arithmetic of Marko Numbers (Sivaraman).- p-Adic Measures for Reciprocals of L-Functions of Totally Real Number Fields (Taha).

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• Geometria algébrica
• Teoria dos números

Women in Numbers conference;women in mathematics;representations of p-adic groups;dynamical Mahler measure;cryptography