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Typical and Polynomial Bounds on Torsion of Elliptic Curves, and Torsion Upon Base Change

Genao, Tyler
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This thesis studies uniformity results for torsion growth of elliptic curves over number fields in two contexts: asymptotically in the degree, where the elliptic curves vary in fixed geometric isogeny classes; and with regards to prime factors of the degree, where the base field is fixed.

Record ID
3294
Record Created
2024-12-05
Title
Typical and Polynomial Bounds on Torsion of Elliptic Curves, and Torsion Upon Base Change
Author
Genao, Tyler
Contributor
Clark, Pete L Advisor
Litt, Daniel Committee Member
Lorenzini, Dino J Committee Member
Pollack, Paul Committee Member
College or School
Franklin College of Arts and Sciences
Department
Mathematics
Content Type
Dissertation
Pagination
88
File Format
pdf
Language
English
Degree Type
Doctor of Philosophy (PHD)
Name of Granting Institution
University of Georgia
Year Degree Granted
2023-05
Keywords
Record Appears in
College, School, or Unit > Franklin College of Arts and Sciences > Mathematics
Electronic Theses and Dissertations > Doctoral Dissertation
All Resources
Doctoral
System Control Number
9949559025402959

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