For as long as I can remember, I have been captivated

by the mathematical sciences and, after discovering I had a natural talent for

the subject, promptly chose mathematics as a career. I love learning about the

history and evolution of such an important aspect of life. I find tutoring and

helping others with the material to be very satisfying. Mathematics is a

perpetually intriguing subject to me and, as the discipline is ever expanding,

it allows significant room for additional study and research.

During my bachelor’s degree, I researched two topics

that I presented to the Mathematics Department at Alcorn State University.

First, I looked into the fascinating concept of the Golden Ratio, a special

number that approximately equates to 1.618. The Golden Ratio is used to

describe the unique scenario between two lengths when the ratio of the shorter

length to the longer length equals the ratio of the longer length to the sum of

both lengths.

Later, I delved into Bézier curves, which are parametric

curves that are described by polynomials based on control points. A Bézier

curve can be thought of as a single function f: if given a number, then it

returns a point. Pierre Bézier publicized these curves in 1962 and used them to

design automobile bodies at Renault.

One of my research interests is the mathematics of the

stock market. The foundation for the area of mathematical finance was presented

in 1952 with Harry Markovitz’s Ph.D. thesis “Portfolio Selection”. In 1969,

stochastic calculus was introduced to mathematical finance by Robert Merton.

Fischer Black and Myron Scholes created the Black-Scholes formula, the

first model widely used for option pricing, and published it in their 1973

article, “The Pricing of Options and Corporate Liabilities”. The study of

finance is compelling in that it takes ideas from many other mathematical

disciplines such as probability and partial differential equations to derive

relationships between interest rates, asset prices, and market movements.

I enjoy learning about new areas of study and applying

my experience from one area into another. I truly believe that one’s academic

and research interests should be pliable, as research areas tend to grow and

change rapidly. After eventually finishing my Ph.D., my goal is to become a

professor at a research university. I look forward to a life of active

mathematical research, one in which I hope Simon Fraser University can play a

vital role.