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Author:

Xue, Jiangwei

Title:

THE ENDOMORPHISM ALGEBRAS AND HODGE GROUPS OF CERTAIN SUPERELLIPTIC JACOBIANS

Graduate Program:

Mathematics

Keywords:

abelian variety
superelliptic curve
jacobian

File:

Download mythesis.pdf

Committee Members:

Yuri G Zarhin, Dissertation Advisor/Co-Advisor
Yuri G Zarhin, Committee Chair/Co-Chair
Woodrow Dale Brownawell, Committee Member
Mihran Papikian, Committee Member
Mark Latash, Committee Member

Author:

Yelton, Jeffrey Samuel

Title:

Hyperelliptic Jacobians and their associated $\ell$-adic Galois representations

Graduate Program:

Mathematics

Keywords:

abelian variety
elliptic curve
Galois theory

File:

Download thesis.pdf

Committee Members:

Yuri Zarhin, Dissertation Advisor/Co-Advisor
Mihran Papikian, Committee Member
Wen Ching Li, Committee Member
Donald Richards, Special Member

Author:

Springer, Caleb

Title:

Abelian varieties and decidability in number theory

Graduate Program:

Mathematics

Keywords:

finite field
abelian variety
arithmetic geometry
number theory
decidability
definability
algorithm

File:

Download Springer-Dissertation.pdf

Committee Members:

Martin Fürer, Outside Unit & Field Member
Mihran Papikian, Major Field Member
Kirsten Eisentraeger, Chair & Dissertation Advisor
Carina Curto, Program Head/Chair
Linda Westrick, Major Field Member