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Why am I interested in mathematics? Why should you or anyone else also
be interested in studying mathematics? Read my
answer.
I am an active researcher in mathematics --
I solve previously unsolved problems, prove new theorems, publish papers
in peer-reviewed academic journals and travel to conferences to present
my work. My research frequently involves students, so if you're a student
who's interested in contributing to the current state of the art in
mathematical knowledge, feel free to drop by my office, send me an email or
an instant message. I am currently interested in non-associative algebraic
structures such as quandles and biquandles;
these algebraic structures are useful for defining invariants of topological
and combinatorial objects.
I am also a serious and passionate teacher of mathematics. Mathematical
reasoning is an intellectual technology developed over thousands of
years for helping us overcome the limitations of our natural intuition; it
is the very core of scientific reasoning and underlies nearly all of the
greatest achievements of our species. I am excited to be a part of the grand
tradition of passing along our hard-won intellectual technology to future
generations. I see teaching and research as two sides of the same coin --
teaching a subject well involves asking the right questions and showing the
students how to discover the concepts for themselves, while solving problems
is only useful if you can communicate your ideas to others effectively.
I completed my Ph.D. at Louisiana State
University in August 2002 and then spent a year as a visiting
assistant professor* at Whittier
College. I spent the next three years as a visiting assistant professor
at the University of California at Riverside
before returning to Whittier College for a reprise year as a visiting
assistant professor. This year, I'm spending a year as a visiting assistant
professor at Pomona College while looking
for a more permanent tenure-track position for next year.
My students should read my guide to being
a successful student of mathematics as well as my statement on my
grading policy. Note that if you can't see a file
you're looking for, you may have to hit your browser's "reload" button.
Click your class and section to get your files:
Calculus |
Topology
*The term "visiting" here means "non-tenure-eligible"; a
visiting professorship is a professorship which lasts for a fixed term
(usually one, two or three years) and then terminates, as opposed to a
tenure-track professorship, in which one is eventually eligible to
apply for tenure. It is common these days for researchers to spend several
years working at postdoc and visiting positions before taking a tenure-track
professorship.
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