eHT Explore

1. Intersection Theory

Open Access

Author:: Keller, Jacob James
Title:: Intersection Theory
Area of Honors:: Mathematics
Keywords:: Algebraic Geometry
Intersection Theory
Enumerative Geometry
File:: Download KellerHThesisFinal.pdf
Thesis Supervisors:: Jack William Huizenga, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

2. MODEL REDUCTION THROUGH MORI-ZWANZIG FORMALISM

Open Access

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

3. The Effect of China Hukou System on Internal Migration

Open Access

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

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

Open Access

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

5. Interest Rate Model and Option Pricing

Open Access

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

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

Open Access

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

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

Open Access

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

8. Estimating Noisy Histograms with Quality Guarantees

Open Access

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

9. The Shortest Vector Problem in Ideal Lattices

Open Access

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

10. AN ANALYSIS OF LONGEVITY BASIS RISK IN THE UNITED STATES

Open Access

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

11. Carlitz Cyclotomic Theory over Rational Function Fields

Open Access

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

12. Analyzing How Changes in the Health Status of Healthcare Workers Affects Epidemic Outcomes

Open Access

Author:: Phadke, Ishan
Title:: Analyzing How Changes in the Health Status of Healthcare Workers Affects Epidemic Outcomes
Area of Honors:: Mathematics
Keywords:: quality of care
epidemic model
mathematical modeling
File:: Download Phadke_Sp19_SchreyerThesis-converted.pdf
Thesis Supervisors:: Katriona Shea, Thesis Supervisor
Aissa Wade, Thesis Honors Advisor

13. THE GENETIC AND ENVIRONMENTAL INFLUENCES ON CHILD ANXIETY AND SCHOOL PERFORMANCE

Open Access

Author:: Dewoody, Melissa
Title:: THE GENETIC AND ENVIRONMENTAL INFLUENCES ON CHILD ANXIETY AND SCHOOL PERFORMANCE
Area of Honors:: Mathematics
Keywords:: Mathematics
Psychology
Anxiety
School Performance
File:: Download DeWoody_-Final_Thesis.pdf
Thesis Supervisors:: Jenae Marie Neiderhiser, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor

14. A Fast Diffusion Equation

Open Access

Author:: Baisley, Sarah
Title:: A Fast Diffusion Equation
Area of Honors:: Mathematics
Keywords:: Fast diffusion equation
stereographic projection
Hardy-Littlewood Sobolev Inequality
Gagliardo-Nirenberg-Sobolev Inequality
File:: Download Schreyer_Thesis-6.pdf
Thesis Supervisors:: Jeffrey Steven Case, Thesis Supervisor
Luen-Chau Li, Thesis Honors Advisor

15. GEOSPATIAL-RISK-BASED RECOUPMENT FOR TRIA-ELIGIBLE INSURANCE

Open Access

Author:: Bergerman, Rafael
Title:: GEOSPATIAL-RISK-BASED RECOUPMENT FOR TRIA-ELIGIBLE INSURANCE
Area of Honors:: Mathematics
Keywords:: actuarial
geospatial
terrorism
recoupment
risk
insurance
File:: Download master.pdf
Thesis Supervisors:: Zhongyi Yuan, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

16. Force Dipole Modelling of Bacterial Motility in Various Background Flows, from Isotropic to Anisotropic

Open Access

Author:: Xu, Shunran
Title:: Force Dipole Modelling of Bacterial Motility in Various Background Flows, from Isotropic to Anisotropic
Area of Honors:: Mathematics
Keywords:: Bacterial Motility
Mathematical Biology
MAC scheme
Stokes equations
Living Liquid Crystals
File:: Download Thesis_Final.pdf
Thesis Supervisors:: Leonid V Berlyand, Thesis Supervisor
Mark Levi, Thesis Honors Advisor

17. Symplectic Biliards

Open Access

Author:: Friend, Raymond J
Title:: Symplectic Biliards
Area of Honors:: Mathematics
Keywords:: symplectic
billiards
polygonal
periodicity
dynamical system
dynamics
dynamical systems
File:: Download Friend_Raymond_Thesis.pdf
Thesis Supervisors:: Sergei Tabachnikov, Thesis Supervisor
Prof. Richard Wallace Robinett, Thesis Honors Advisor

18. Fitting a Bayesian Model Based on Markov Chain Monte Carlo

Open Access

Author:: El-Zaatari, Helal Mohamad
Title:: Fitting a Bayesian Model Based on Markov Chain Monte Carlo
Area of Honors:: Mathematics
Keywords:: Statistics
Mathematics
File:: Download finalthesis.pdf
Thesis Supervisors:: Matthew Logan Reimherr, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

19. Helical Symmetry Solutions to the Equations of Magnetohydrodynamics

Open Access

Author:: Thornton, Stephen
Title:: Helical Symmetry Solutions to the Equations of Magnetohydrodynamics
Area of Honors:: Mathematics
Keywords:: Magnetohydrodynamics
MHD
Fluids
PDE
Partial Differential Equations
File:: Download ThorntonFinalMathThesis.pdf
Thesis Supervisors:: Anna L Mazzucato, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

20. A Comparative Analysis of Convertible Bond Pricing Models

Open Access

Author:: Conway, Colleen Elizabeth
Title:: A Comparative Analysis of Convertible Bond Pricing Models
Area of Honors:: Mathematics
Keywords:: Convertible Bonds
Black-Scholes Equation
Stochastic Calculus
File:: Download Conway_Colleen_Thesis__3_.pdf
Thesis Supervisors:: Jenny Xiaoe Li, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor

21. Feasibility of Universal Healthcare in the United States

Open Access

Author:: Morris, Ashley
Title:: Feasibility of Universal Healthcare in the United States
Area of Honors:: Mathematics
Keywords:: universal healthcare
Medicaid Expansion
mathematical model
uninsured access gap
economic feasibility
File:: Download AshleyMorrisThesis.pdf
Thesis Supervisors:: Joel E Segel, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor

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