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 …
On Combinatorial Problems of Generalized Parking Functions Kimberly Hadaway PhD Student Iowa State University In this talk, we study combinatorial problems related to generalized parking functions. Our work is motivated by two different research questions posed to us by Dr. …
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 …
Harmonize your Fractals Matt McClinton Graduate Student University of Wisconsin-Milwaukee The Sierpinski Gasket (SG) is a known fractal object. A simple observation shows that SG is path connected. Unfortunately, the infinitely jagged structure of the Gasket prevents these paths from …
Mathematics around the Heisenberg Group Prof. Roger Howe Professor Emeritus Yale University In the mid 1920s, Werner Heisenberg formulated the CCR – canonical commutation relations – describing the relationship between the operations of measuring position and of measuring momentum of …
Coarse Homotopy Extension Property and its Applications Mr. William Braubach University of Wisconsin-Milwaukee A pair (X, A) has the homotopy extension property if any homotopy of A can be extended to a homotopy of X. The main goal of this …
Counting Orbits of Defective Parking Functions Alex Moon PhD Student University of Wisconsin-Milwaukee Parking functions are well-studied objects in combinatorics and representation theory which constitute tuples of preferred parking spots for cars under a linear parking scheme. This talk will …
Markov Chain Model of Three-Dimensional Daphnia Magna Movement Ms. Helen Kafka University of Wisconsin-Milwaukee Daphnia magna make turns through an antennae-whipping action. This action occurs every few seconds, hence, during the intervening time, the animal either remains in place or …