Elizabeth Sprangel

Research Interests

My interests lie in the field of discrete math. In particular, I enjoy problems in extremal graph theory, including rainbow (or anti-Ramsey) and Turán-type problems. I am also interested in graph saturation, domination, combinatorics on words, and Markov chains.

Preprints

J. Alameda, C. Bang, Z. Brennan, D. Herzog, J. Kritschgau, and E. Sprangel, "Cutoff in the Bernoulli-Laplace model with O(n) swaps." [arXiv]

Z. Berikkyzy, A. Schulte, E. Sprangel, S. Walker, N. Warnberg, and M. Young, "Anti-van der Waerden numbers on Graphs." [arXiv]

Research with undergrads

I was the graduate research assistant at the Summer Undergraduate Applied Mathematics Institute at Carnegie Mellon University. I worked with two faculty members and 6 undergraduate students on the topics of Exponential Domination on Graphs and the Flint-Hill Series. I developed a mini-course for the students on how to conduct research, focusing on reading, writing, coding (in SAGEmath), and presenting mathematics.

Joint AWM-MOCA Speaker Series

I am an organizer Joint Association of Women in Mathematics (AWM) and Mathematicians of Color Alliance (MOCA) Speaker Series (JAMSS). JAMSS hosts speakers from underrepresented groups in mathematics in order to connect women and minority students in the graduate program with a variety of successful underrepresented mathematicians in the field.