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Author:

Minner, Lauren Jeanette

Title:

Elliptic Curves and Their Integration into an Existing Undergraduate Number Theory Course

Area of Honors:

Mathematics

Keywords:

mathematics
elliptic curves
number theory
finite fields
cryptography
cryptology

File:

Download Minner_Lauren_EllipticCurves.pdf

Thesis Supervisors:

Paul Becker, Thesis Supervisor
Daniel Joseph Galiffa, Thesis Honors Advisor

Author:

Huynh, Simon

Title:

The Shortest Vector Problem in Ideal Lattices

Area of Honors:

Mathematics

Keywords:

number theory
Cryptology
mathematics
abstract algebra
ideal lattices
cyclic lattices
the Shortest Vector Problem
number fields
number rings
lattices
cryptosystems
quantum computers
RSA
Post-quantum Cryptography

File:

Download huynh_honors_Thesis_the_Shortest_Vector_Problem_in_Ideal_Lattices.pdf

Thesis Supervisors:

Anne Kirsten Eisentraeger, Thesis Supervisor
Mark Levi, Thesis Honors Advisor

Author:

Bevilacqua, Erin

Title:

Partition Identities Using Modular Young Diagrams and Congruences Among Fractional Partition Functions

Area of Honors:

Mathematics

Keywords:

Partitions
combinatorics
number theory

File:

Download ThesisFinal.pdf

Thesis Supervisors:

Ae Ja Yee, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor