
The Crouzeix Conjecture
I began my work studying this open question in Linear Algebra with this paper exploring Matrix Functions
Mathematics is an art worth studying for the joy and beauty of knowledge. In the Mathematical humanities, I analyze art through the lens of math, discovering nontrivial patterns in geometry. Fusing Linear Algebra and Complex Analysis, I study current and pressing open questions on Matrix functions.
A Chemical Engineer can do anything. While studying both the intricacies of individual reactions as well as larger chemcial processes, I have conducted research modeling the changing composition of sour beer as it ferments.
A mathematician's toolkit would be incomplete without computing. MATLAB and Wolfram Language have accelerated my research in Engineering and Mathematics, and the ongoing Fellowship with Headstarter will help better integrate software engineering into my current projects.
No matter the subject, there is a special joy to be found in spreading knowledge. I have had the privelege to teach everything from French Language, Physics and Mathematics at Bucknell University to Outdoor and Camping skills at Read Scout Reservation and General Science at Bell Middle School.
Here are some of the fun or interesting projects I have been working on in the last few years:
I began my work studying this open question in Linear Algebra with this paper exploring Matrix Functions
Using the method of mathematical envelopes, we defined and related the parabolic curves which arc across the geometric drawings of Emma Kunz
Equilibrium chemistry can be leveraged to separate multi-phased systems. I have compiled a comprehensive manual on processes exploiting this tequnique and how to analyze them
Je suis né pour la Muse, on me fait ménager
As exclaimed in the frustrations of Du Bellay above, it is essential to balance technical skills and interests with artistic and creative passions and hobbies.
-Linear Algebra
-Complex Analysis
-French Language and Culture
-Teaching and Education
-Computer Science
-Mathematica
-MATLAB
-Java
-ASPEN HYSYS
-Geogebra
-Excel
-Camping
-Backpacking
-Poetry
-Creative Writing