445 Maxim Doucet Hall
Ph.D. 2019 University of Wisconsin-Milwaukee
M.S. 2011 Florida State University
B.S. 2009 University of Wisconsin-Madison
I earned my Ph.D. in 2019 from the University of Wisconsin-Milwaukee after taking a couple year break after my M.S. to teach high school. My dissertation research was on a new variation of a classical problem using cellular automata – the Firing Squad Synchronization Problem. I enjoy many areas of mathematics and was focused on pure mathematics, in particular algebra, through my M.S. and then switched to applied mathematics during my Ph.D. I enjoy seeing how different areas of mathematics can come together.
Teaching is a big focus of mine – one of my favorite things is helping a student who feels that they cannot survive a math class actually understand and appreciate the material. I enjoy teaching a variety of math classes and hope to get involved with undergraduate research here at UL Lafayette.
Selected research publications:
Some publications are under the name Kathryn A. Lokken
- A Minimal Time Solution to the Firing Squad Synchronization Problem with Von Neumann Neighborhood of Extent 2, Ph.D. Dissertation, University of Wisconsin-Milwaukee (2019)
Zero-Divisor Ideals and Realizable Zero-Divisor Graphs (with Axtell, Stickles, and Trampbachls),Involve, 2 number 1 (2009), 17-27
Note: The author "Wallace Trampbachls" was a pseudonym for many undergraduate authors, who worked on this research over a couple summers of an REU.
- Zero-Divisor Graphs of Localizations and Modular Rings (with Cuchta and Young), Rose-Hulman Undergraduate Math Journal, 9 issue 2 (2008)
- The Nilradical and Non-nilradical Graphs of Commutative Rings (with Bishop, Cuchta, and Pechenik), International Journal of Algebra, 2 17-20 (2008)