1. Representation Theory of sl(2,C) and sl(3,C) Open Access Author: Fuller, Samantha Ashlee Title: Representation Theory of sl(2,C) and sl(3,C) Area of Honors: Mathematics Keywords: representation theoryirreducible representationsLie algebras File: Download Thesis.pdf Thesis Supervisors: Nigel David Higson, Thesis SupervisorSergei Tabachnikov, Thesis Honors Advisor
2. Analogies in Linear Algebra and Group Theory Open Access Author: Taylor, Benjamin David Title: Analogies in Linear Algebra and Group Theory Area of Honors: Mathematics Keywords: mathlinear algebragroup theoryabstract algebra File: Download Final_Thesis.pdf Thesis Supervisors: Mihran Papikian, Thesis SupervisorSergei Tabachnikov, Thesis Honors Advisor
3. Bernoulli polynomials and riemann zeta function Open Access Author: Shi, Yixuan Title: Bernoulli polynomials and riemann zeta function Area of Honors: Mathematics Keywords: bernoulli polynomialriemann zeta function File: Download Final_draft_of_thesis_for_SHC.pdf Thesis Supervisors: Misha Guysinsky, Thesis SupervisorSergei Tabachnikov, Thesis Honors Advisor
4. Chinese Remainder Theorem Open Access Author: Jin, Cheng Title: Chinese Remainder Theorem Area of Honors: Mathematics Keywords: Chinese Remainder TheoremRingsCommutative Algebra File: Download ChengJin_CRT_5.0.pdf Thesis Supervisors: Dr. Karl Schwede, Thesis SupervisorSergei Tabachnikov, Thesis Honors Advisor
5. Topology and Data Analysis Open Access Author: Zhou, Hangyu Title: Topology and Data Analysis Area of Honors: Mathematics Keywords: hoomologytopological data analysispersistent homologyalgebraic topology File: Download Zhou_Hangyu_Topology_and_Data_Analysis.pdf Thesis Supervisors: John Roe, Thesis SupervisorSergei Tabachnikov, Thesis Honors Advisor
6. Sphere Eversion: Analysis of a Veridical Paradox Open Access Author: Litman, Matthew Chad Title: Sphere Eversion: Analysis of a Veridical Paradox Area of Honors: Mathematics Keywords: topologysphere eversionmathematics File: Download M_Litman_Thesis.pdf Thesis Supervisors: Sergei Tabachnikov, Thesis SupervisorNathanial Patrick Brown, Thesis Honors Advisor
7. Markov Chain Monte Carlo Methods and Applications Open Access Author: Wu, Kaiyi Title: Markov Chain Monte Carlo Methods and Applications Area of Honors: Mathematics Keywords: Markov Chain Monte CarloAdaptive method File: Download Kaiyi_Wu.pdf Thesis Supervisors: Ludmil Tomov Zikatanov, Thesis SupervisorSergei Tabachnikov, Thesis Honors Advisor
8. Graph Observability: Definition, Condition and Algorithm Open Access Author: Xiao, Yifei Title: Graph Observability: Definition, Condition and Algorithm Area of Honors: Mathematics Keywords: graph theoryobservabilitycolored graphstrackable graphsgraph algorithm File: Download Thesis_Yifei_Xiao.pdf Thesis Supervisors: Ting He, Thesis SupervisorSergei Tabachnikov, Thesis Honors Advisor
9. Boundary Operators Associated with Conformally Covariant Tri-Laplacian Operator Open Access Author: Luo, Weiyu Title: Boundary Operators Associated with Conformally Covariant Tri-Laplacian Operator Area of Honors: Mathematics Keywords: GJMS operatorPoincaré-Einstein manifoldBoundary operatorconformally covariant operatorfractional LaplacianSobolev trace inequality File: Download Luo_Weiyu_Boundary_Operator.pdf Thesis Supervisors: Jeffrey Steven Case, Thesis SupervisorSergei Tabachnikov, Thesis Honors Advisor
10. Interest Rate Model and Option Pricing Open Access Author: Wang, Xinyu Title: Interest Rate Model and Option Pricing Area of Honors: Mathematics Keywords: Financial MathematicsInterest Rate ModelBlack Scholes ModelOption PricingCompuational Finance File: Download final_thesis.pdf Thesis Supervisors: Anna L Mazzucato, Thesis SupervisorSergei Tabachnikov, Thesis Honors Advisor