Topics in half integral weight modular forms

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Branch, James (2025) Topics in half integral weight modular forms. PhD thesis, University of Nottingham.

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Abstract

This thesis is divided in three independent chapters. In chapter 1, we prove some explicit results concerning images under Shimura’s map, the methods are elementary. In chapter 2, we provide results on two kernels of half integral weight. Chapter 3 is an exposition to the results obtained as part of the collaboration with Wissam Raji, Larry Rolen and one of my supervisors Nikolaos Diamantis, where we study periods in the half integral weight setting.

Item Type: Thesis (University of Nottingham only) (PhD)
Supervisors: Stromberg, Fredrik
Diamantis, Nikolaos
Keywords: Shimura images, modular forms, Hecke operators, half integral weight setting
Subjects: Q Science > QA Mathematics > QA150 Algebra
Q Science > QA Mathematics > QA440 Geometry
Faculties/Schools: UK Campuses > Faculty of Science > School of Mathematical Sciences
Item ID: 81182
Depositing User: Branch, James
Date Deposited: 31 Jul 2025 04:40
Last Modified: 31 Jul 2025 04:40
URI: https://eprints.nottingham.ac.uk/id/eprint/81182

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