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Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

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

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