## For the subject to be very satisfying.

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 subject 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.

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Later, I delved into Bézier curves, 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. Engineer Pierre Bézier widely 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 developed the Black-Scholes formula, the first widely
used model 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 draws 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 field 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 PhD, 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.

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