1. 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
2. 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
3. Carlitz Cyclotomic Theory over Rational Function Fields Open Access Author: Van Hook, Jacob Arthur Title: Carlitz Cyclotomic Theory over Rational Function Fields Area of Honors: Mathematics Keywords: Carlitzcyclotomicfunction field File: Download VanHook_Jacob_Carlitz.pdf Thesis Supervisors: Mihran Papikian, Thesis SupervisorSergei Tabachnikov, Thesis Honors Advisor
4. Zeta Function of Curves Over Finite Field and Its Rationality Open Access Author: Zhang, Yifei Title: Zeta Function of Curves Over Finite Field and Its Rationality Area of Honors: Mathematics Keywords: In this thesiswe are set to explore a zeta function over finite field: an analogy to Riemann zeta functionand prove its rationality with techniques of p-adic numbers.zeta functionp-adicfinite field File: Download Zeta_Function_of_Curves_Over_Finite_Field_and_Its_Rationality.pdf Thesis Supervisors: Mihran Papikian, Thesis SupervisorNathanial Patrick Brown, Thesis Honors Advisor
