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Open Access

Author:: Li, Shanglun
Title:: Estimation of the Transition Probabilities between HIV Disease Progression Categories
Area of Honors:: Interdisciplinary in Mathematics and Statistics
Keywords:: HIV
Markov Chain
Maximum Likelihood
File:: Download HonorThesis_ShanglunLi.pdf
Thesis Supervisors:: Le Bao, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor
Murali Haran, 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

Open Access

Author:: Hofman, Daniel Stephen
Title:: The NP-Completeness of Finding Treewidth for Graphs and a 4-Approximation for Finding Treewidth
Area of Honors:: Interdisciplinary in Computer Engineering and Mathematics
Keywords:: computer science
graph theory
treewidth
NP-completeness
approximation algorithms
File:: Download Treewidth_Thesis.pdf
Thesis Supervisors:: Martin Furer, Thesis Supervisor
Chitaranjan Das, Thesis Honors Advisor
Sergei Tabachnikov, Thesis Honors Advisor

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

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

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

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

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

Open Access

Author:: Ren, Qingze
Title:: A Math and Statistics Approach to Go
Area of Honors:: Mathematics
Keywords:: Go
File:: Download Qingze_Ren_--_A_Math_and_Statistics_Approach_to_Go.pdf
Thesis Supervisors:: Boris V Kalinin, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Open Access

Author:: Ginsburg, Victor
Title:: Morse–Bott Theory and Diameters of Immersed Submanifolds of Euclidean Space
Area of Honors:: Mathematics
Keywords:: Morse theory
Morse–Bott theory
diameters
double normals
File:: Download Morse_Bott_Theory_and_Diameters_of_Immersed_Submanifolds_of_Euclidean_Space.pdf
Thesis Supervisors:: Sergei Tabachnikov, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

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