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Author:

Tian, Zhenyu

Title:

MODEL REDUCTION THROUGH MORI-ZWANZIG FORMALISM

Area of Honors:

Mathematics

Keywords:

Mori-Zwanzig

File:

Download ZhenyuTian_Thesis.pdf

Thesis Supervisors:

John Harlim, Thesis Supervisor
Aissa Wade, Thesis Honors Advisor

Author:

He, Dongyang

Title:

The Effect of China Hukou System on Internal Migration

Area of Honors:

Mathematics

Keywords:

hukou
equilibrium model
migration
China
trade

File:

Download Revision4_Dongyang.pdf

Thesis Supervisors:

James R. Tybout, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

Author:

Prabakaran, Pragnya

Title:

Wind-Generated Surface Current and Waves at an Air-Water Interface

Area of Honors:

Mathematics

Keywords:

wind waves
waves
surface current
interfacial current
base flow
fluid mechanics

File:

Download Pragnya_Prabakaran_Thesis.pdf

Thesis Supervisors:

Dr. Diane Marie Henderson, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

Author:

Wang, Xinyu

Title:

Interest Rate Model and Option Pricing

Area of Honors:

Mathematics

Keywords:

Financial Mathematics
Interest Rate Model
Black Scholes Model
Option Pricing
Compuational Finance

File:

Download final_thesis.pdf

Thesis Supervisors:

Anna L Mazzucato, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Cadenas, Elena

Title:

Analyzing the payoffs of lying in various situations to determine if lying is ever truly beneficial.

Area of Honors:

Mathematics

Keywords:

deception
lying
truthfulness
signal
Prisoner's Dilemma
game theory
beneficial
psychological
neurological
immune function payoff
signaling
factors
payoffdeception
payoff
immune function

File:

Download ElenaCadenasThesis.pdf

Thesis Supervisors:

Dr. Christopher Byrne, Thesis Supervisor
Dr. Victoria V Sadovskaya, Thesis Honors Advisor

Author:

Callahan, Michael G

Title:

MARGINAL PRICING: AN EDUCATIONAL MODEL TO PRICE CORRELATED RISKS IN INSURANCE

Area of Honors:

Mathematics

Keywords:

actuarial science
mathematics
stochastic
monte carlo
insurance
finance
simulation
pricing model

File:

Download Callahan_Michael_MargPrice.pdf

Thesis Supervisors:

Nan Zhu, Thesis Supervisor
Dennis Keith Pearl, Thesis Honors Advisor

Author:

Kerrigan, Gavin

Title:

Estimating Noisy Histograms with Quality Guarantees

Area of Honors:

Mathematics

Keywords:

differential privacy
computer science
histogram estimation

File:

Download Kerrigan_Gavin_NoisyHistograms.pdf

Thesis Supervisors:

Daniel Kifer, Thesis Supervisor
Sergei Tabachnikov, 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:

Sukunda, Joseph

Title:

AN ANALYSIS OF LONGEVITY BASIS RISK IN THE UNITED STATES

Area of Honors:

Mathematics

Keywords:

Longevity Basis Risk
Longevity Risk
Longevity Risk Transfer
VAR Model
Lee-Carter Model
Pension
Annuity

File:

Download Sukunda_Thesis_Final.pdf

Thesis Supervisors:

Nan Zhu, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor
Anna L Mazzucato, Faculty Reader

Author:

Van Hook, Jacob Arthur

Title:

Carlitz Cyclotomic Theory over Rational Function Fields

Area of Honors:

Mathematics

Keywords:

Carlitz
cyclotomic
function field

File:

Download VanHook_Jacob_Carlitz.pdf

Thesis Supervisors:

Mihran Papikian, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor