1. 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
2. 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
3. A Model of Bank Behavior under Market, Credit, and Liquidity Risk Open Access Author: Slocum, Samuel Thomas Title: A Model of Bank Behavior under Market, Credit, and Liquidity Risk Area of Honors: Mathematics Keywords: EconomicsBankingNumerical Analysis File: Download samuelslocum_thesis_vita.pdf Thesis Supervisors: Jenny Xiaoe Li, Thesis SupervisorNathanial Patrick Brown, Thesis Honors Advisor
4. The Riemann Hypothesis for Elliptic Curves over Finite Fields Open Access Author: Cassady, Connor Dane Title: The Riemann Hypothesis for Elliptic Curves over Finite Fields Area of Honors: Mathematics Keywords: Riemann HypothesisFinite FieldsElliptic CurvesNumber Theory File: Download Cassady_Connor_RiemHypElipCurves.pdf Thesis Supervisors: Mihran Papikian, Thesis SupervisorNathanial Patrick Brown, Thesis Honors Advisor
5. 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
6. Elliptic Curves and Their Integration into an Existing Undergraduate Number Theory Course Open Access Author: Minner, Lauren Jeanette Title: Elliptic Curves and Their Integration into an Existing Undergraduate Number Theory Course Area of Honors: Mathematics Keywords: mathematicselliptic curvesnumber theoryfinite fieldscryptographycryptology File: Download Minner_Lauren_EllipticCurves.pdf Thesis Supervisors: Paul Becker, Thesis SupervisorDaniel Joseph Galiffa, Thesis Honors Advisor
7. PREDICTIVE EFFECTIVENESS OF ON-DEMAND PRE-EXPOSURE PROPHYLAXIS TO PREVENT HIV Open Access Author: Dorabiala, Olga M Title: PREDICTIVE EFFECTIVENESS OF ON-DEMAND PRE-EXPOSURE PROPHYLAXIS TO PREVENT HIV Area of Honors: Mathematics Keywords: PrEPHIVpre-exposure prophylaxisPK/PD Modelearly infection model of HIVon-demand PrEPHIV virus dynamicsHIV disease preventionpharmacokinetic-pharmacodynamic modelmathematical model of HIV File: Download master.pdf Thesis Supervisors: Dr. Jessica Conway, Thesis SupervisorDr. Diane Marie Henderson, Thesis Honors Advisor
8. Diophantine Approximation and Complexity Measures Open Access Author: Cotner, Sean Thomas Title: Diophantine Approximation and Complexity Measures Area of Honors: Mathematics Keywords: Diophantine approximationKolmogorov complexity File: Download Final_thesis.pdf Thesis Supervisors: Jan Severin Reimann, Thesis SupervisorAnne Kirsten Eisentraeger, Thesis Honors Advisor
9. DYNAMICS OF MINIMAL PERMITTED MOTIFS IN COMBINATORIAL THRESHOLD-LINEAR NETWORKS Open Access Author: Falk, David Benjamin Title: DYNAMICS OF MINIMAL PERMITTED MOTIFS IN COMBINATORIAL THRESHOLD-LINEAR NETWORKS Area of Honors: Mathematics Keywords: CTLNneural networkthreshold linearmathematical modelingmathematical neurosciencemathematical biologyminimal permitted motifnonlinear dynamicsdifferential equationsgraph theorycombinatoricsdiscrete mathematicssymmetryneuronsclique unioncyclic union File: Download David_Falk_Thesis.pdf Thesis Supervisors: Carina Pamela Curto, Thesis SupervisorMark Levi, Thesis Honors Advisor