Franck Loic Fonguila Mafouedong
Education
Doctor of Philosophy (PhD), Statistics Department of Mathematics and Statistics, Auburn University, Auburn, AL, USA January 2025 – Present
Master’s Degree, Mathematical Economics Department of Mathematics, University of Douala, Cameroon October 2021 – August 2023
Bachelor’s Degree, Mathematical Economics Department of Mathematics, University of Douala, Cameroon October 2018 – July 2021
Professional Experience
January 2025 – Present
Graduate Teaching Assistant
Department of Mathematics and Statistics, Auburn University
Auburn, AL, USA
Instructor, MATH 1000: Fundamentals of Mathematics
Delivered lectures, prepared and graded assessments, held office hours, and assigned final grades.
Teaching/Grading Assistant
Supported undergraduate mathematics and statistics courses by grading assignments and examinations and assisting students during office hours.
Innovation
Binomial Model and Evaluation of the Price of a Call Option
Studied the binomial model for one, two, three, and n periods. Evaluated the price of a call option using the risk-neutral probability method and the replication method, and analyzed the convergence of the binomial model toward the Black–Scholes model.
Construction of the Lebesgue Measure
Studied the definition and examples of outer measure; measurability in the sense of Carathéodory; Carathéodory’s theorem and criterion; construction of the outer measure and the Vitali condition for the Borel outer measure; construction of the Lebesgue measure on R and its extension to Rn; and non-measurable sets in the Lebesgue sense.
Construction of the Topologies of Pointwise and Uniform Convergence
Defined the relevant closures together with the hypotheses of continuity and pointwise and uniform convergence.
