I am an assistant professor of mathemtatics in the Department of Science and Mathematics at Saint Mary-of-the-Woods College (SMWC).

Having the opportunity to work at such a small school like SMWC with limited faculty I have the opportunity to teach a wide variety of classes!

Some of the classes have included: Calculus 1, 2, and 3; Linear Algebra, Introduction to proofs; Elementary and Advanced Statistics; Abstract Algebra 1 and 2; Introduction to Analysis; Graph Theory; Introduction to Mathematical Computing; Discrete Mathematics; College Algebra; Pre-Calculus; Game Theory and Gambiling; and Sports Ranking.

Click for Class Notes and Textbooks for past and present classes

Click for a concise list of my paper and preprints

My research interests varies extremeley. Since I was an undergraduate I have always had an interest in quantum computing, a field where we consider computers that instead of working off the quintessential "bits" of 1's and 0's instead plays with the wacky world of quantum, where our "Q-bits" live in a perpetual space somewhere between these two values. These Qbits are not 1's and they are not 0's but they are somehow between. I was lucky enought to collaborate with a friend on a paper in this subject creating codes for correcting errors sending these Qbits down noisey channels/cables etc.

For my PhD Thesis I studied a branch of mathematics known as Algebraic Geometry under the supervision of Dr. Matthew Ballard. This branch of mathematics studies the properties of geometric objects which can be described by a polynomial equation. The geometric objects that I am most interested in are named after my academic great-grand father Shing-Tung Yau, known as a Calabi–Yau manifold. These objects have become most popular in theoretical physics, particularly in superstring theory, in which the extra dimensions of spacetime are conjectured to take the form of a 6-dimensional Calabi–Yau manifold, which led to the idea of mirror symmetry. My thesis was part of the a paper that I was excited to work on with many friends.

I have always had an interest in algebra and logic which was only fueled by the numerous courses and seminars I attended with Dr. George McNulty in my time at UofSC. I have not found a place to make my mark on this field but I am always looking. Yet, it is George and Annalisa Calini who most greatly inspired writting the text book on introduciton to proofs (currently in-progress).

My time at CofC I was also influenced and mentored by Dr. Oleg Smirnov where we studied many amazing algebraic structures. I had the pleasure while I was working on my masters degree to write a paper at CofC about an extremely interesting algebraic structure known as Lie Triple Systems. This paper was unfortunatley never published, but, excitedly, cited in mutliple published papers, i.e. still making an impact on the field.

Most recently I have been exploring applications to neural networks with interested faculty and students at SMWC. We have been working on cellular identification of bacteria, and storm and air quality predictions. This has all been very interesting and exciting, nothing has come to light that is worth publication but we are still working on many projects and I have even "gotten my hands dirty" in the microbiology lab growing and analyzing different bacteria.