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Author:

Fuller, Samantha Ashlee

Title:

Representation Theory of sl(2,C) and sl(3,C)

Area of Honors:

Mathematics

Keywords:

representation theory
irreducible representations
Lie algebras

File:

Download Thesis.pdf

Thesis Supervisors:

Nigel David Higson, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Li, Ran

Title:

Applications of Asymmetric GARCH Models with Various Conditional Distributions:The Empirical Case of the NASDAQ Computer Index Daily Closing Returns

Area of Honors:

Interdisciplinary in Mathematics and Statistics

Keywords:

NASDAQ
GARCH Model
Asymmetric
Conditional Distribution

File:

Download final.pdf

Thesis Supervisors:

Jason Ryder Morton, Thesis Supervisor
David Russell Hunter, Thesis Honors Advisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Taylor, Benjamin David

Title:

Analogies in Linear Algebra and Group Theory

Area of Honors:

Mathematics

Keywords:

math
linear algebra
group theory
abstract algebra

File:

Download Final_Thesis.pdf

Thesis Supervisors:

Mihran Papikian, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Shi, Yixuan

Title:

Bernoulli polynomials and riemann zeta function

Area of Honors:

Mathematics

Keywords:

bernoulli polynomial
riemann zeta function

File:

Download Final_draft_of_thesis_for_SHC.pdf

Thesis Supervisors:

Misha Guysinsky, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Jin, Cheng

Title:

Chinese Remainder Theorem

Area of Honors:

Mathematics

Keywords:

Chinese Remainder Theorem
Rings
Commutative Algebra

File:

Download ChengJin_CRT_5.0.pdf

Thesis Supervisors:

Dr. Karl Schwede, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Zhou, Hangyu

Title:

Topology and Data Analysis

Area of Honors:

Mathematics

Keywords:

hoomology
topological data analysis
persistent homology
algebraic topology

File:

Download Zhou_Hangyu_Topology_and_Data_Analysis.pdf

Thesis Supervisors:

John Roe, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Litman, Matthew Chad

Title:

Sphere Eversion: Analysis of a Veridical Paradox

Area of Honors:

Mathematics

Keywords:

topology
sphere eversion
mathematics

File:

Download M_Litman_Thesis.pdf

Thesis Supervisors:

Sergei Tabachnikov, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

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:

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