A finite geometry problem from some conjectures of Brauer Prof. Michael Geline Professor of Mathematics Northern Illinois University We will begin with a problem in "finite geometry" which captures at least some of the spirit of algebraic geometry in positive …
A Tree Approach to Solving Diophantine Equations Dr. Eva Goaedhart Visiting Scholar Franklin & Marshall College Diophantine equations are easy to state equations that often require complicated tools to solve. After introducing Diophantine equations, I will present a visual approach …
Elementary Matrix Operations on a Napkin Dr. Bogdan Nica Assistant Professor Indiana University - Purdue University Indianapolis Atmospheric science provides excellent opportunities for encouraging student interest in all fields of STEM (Science, Technology, Engineering, Math). A model outreach program (“Chasing …
Combinatorial Resolutions of Monomial Ideals Dr. Selvi Kara Assistant Professor of Mathematics Bryn Mawr College One of the central problems in commutative algebra concerns understanding the structure of an ideal in a polynomial ring. Abstractly, an ideal’s structure can be …
A Mechanochemical Model of Cell Migration in Confined Environments Dr. Emmanuel Asante-Asamani Assistant Professor of Mathematics Clarkson University Eukaryotic cells can move in confined environments by using pressure driven protrusions of their cell membrane, a motility mechanism known as blebbing. …
The Dynamical view of Free-by-Cyclic Groups Dr. Jean Pierre Mutanguha Instructor Princeton Free-by-cyclic groups can be defined as mapping tori of free group automorphisms. I will discuss various dynamical properties of automorphisms that turn out to be group invariants of …
Experimental Methods in Combinatorics Dr. Jay Pantone Assistant Professor of Mathematics Marquette University What number comes next in the sequence 1, 2, 4, 8, 16, 32, ... ? How about 1, 2, 3, 5, 8, 13, ... ? Or maybe …
The intrigue that compels us When we witness unexpected phenomena, a mathematician finds themselves asking: why? We are compelled to understand further; what is the cause, the basic underlying principles?  Mathematics is full of symmetries, patterns and visuals that …
The Mathematics of Chip-Firing Caroline Klivans Professor of Applied Mathematics, Deputy Director of ICERM Brown University Chip-firing processes are discrete dynamical systems. A commodity (chips, sand, dollars) is exchanged between sites of a network according to simple local rules. Although …
Mathematical Modeling of Cell Volume Control and Electrolyte Balance Prof. Yoichiro Mori Professor of Mathematics University of Pennsylvania Electrolyte and cell volume regulation is essential in physiological systems. Biophysical modeling in this area, however, has been relatively sparse. After a …