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Author:

Wu, Kaiyi

Title:

Markov Chain Monte Carlo Methods and Applications

Area of Honors:

Mathematics

Keywords:

Markov Chain Monte Carlo
Adaptive method

File:

Download Kaiyi_Wu.pdf

Thesis Supervisors:

Ludmil Tomov Zikatanov, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Xiao, Yifei

Title:

Graph Observability: Definition, Condition and Algorithm

Area of Honors:

Mathematics

Keywords:

graph theory
observability
colored graphs
trackable graphs
graph algorithm

File:

Download Thesis_Yifei_Xiao.pdf

Thesis Supervisors:

Ting He, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Slocum, Samuel Thomas

Title:

A Model of Bank Behavior under Market, Credit, and Liquidity Risk

Area of Honors:

Mathematics

Keywords:

Economics
Banking
Numerical Analysis

File:

Download samuelslocum_thesis_vita.pdf

Thesis Supervisors:

Jenny Xiaoe Li, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

Author:

Cassady, Connor Dane

Title:

The Riemann Hypothesis for Elliptic Curves over Finite Fields

Area of Honors:

Mathematics

Keywords:

Riemann Hypothesis
Finite Fields
Elliptic Curves
Number Theory

File:

Download Cassady_Connor_RiemHypElipCurves.pdf

Thesis Supervisors:

Mihran Papikian, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

Author:

Luo, Weiyu

Title:

Boundary Operators Associated with Conformally Covariant Tri-Laplacian Operator

Area of Honors:

Mathematics

Keywords:

GJMS operator
Poincaré-Einstein manifold
Boundary operator
conformally covariant operator
fractional Laplacian
Sobolev trace inequality

File:

Download Luo_Weiyu_Boundary_Operator.pdf

Thesis Supervisors:

Jeffrey Steven Case, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

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:

Dorabiala, Olga M

Title:

PREDICTIVE EFFECTIVENESS OF ON-DEMAND PRE-EXPOSURE PROPHYLAXIS TO PREVENT HIV

Area of Honors:

Mathematics

Keywords:

PrEP
HIV
pre-exposure prophylaxis
PK/PD Model
early infection model of HIV
on-demand PrEP
HIV virus dynamics
HIV disease prevention
pharmacokinetic-pharmacodynamic model
mathematical model of HIV

File:

Download master.pdf

Thesis Supervisors:

Dr. Jessica Conway, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor

Author:

Cotner, Sean Thomas

Title:

Diophantine Approximation and Complexity Measures

Area of Honors:

Mathematics

Keywords:

Diophantine approximation
Kolmogorov complexity

File:

Download Final_thesis.pdf

Thesis Supervisors:

Jan Severin Reimann, Thesis Supervisor
Anne Kirsten Eisentraeger, Thesis Honors Advisor

Author:

Falk, David Benjamin

Title:

DYNAMICS OF MINIMAL PERMITTED MOTIFS IN COMBINATORIAL THRESHOLD-LINEAR NETWORKS

Area of Honors:

Mathematics

Keywords:

CTLN
neural network
threshold linear
mathematical modeling
mathematical neuroscience
mathematical biology
minimal permitted motif
nonlinear dynamics
differential equations
graph theory
combinatorics
discrete mathematics
symmetry
neurons
clique union
cyclic union

File:

Download David_Falk_Thesis.pdf

Thesis Supervisors:

Carina Pamela Curto, Thesis Supervisor
Mark Levi, Thesis Honors Advisor