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 …
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 …
Hyperbolic groups, their boundaries and drilling Prof. Genevieve Walsh Professor of Mathematics Tufts University We will define and describe groups with a particular geometry, hyperbolic groups. We will define the boundary of a hyperbolic group and give many examples. If …
Do you like to talk about teaching? Do you like to socialize with other people in the department? Do you like pear bread? Do you have nothing better to do on a Friday afternoon? Bring your thoughts: Have you done …
PDE Problems in Thin Filament Hydrodynamics Prof. Laurel Ohm Assistant Professor of Mathematics University of Wisconsin-Madison Many fundamental biophysical processes, from cell division to cellular motility, involve dynamics of thin structures immersed in a very viscous fluid. Various popular models …
Infinitesimal Spaces of Quasiregular Mappings Prof. Alastair Fletcher Professor of Mathematical Sciences and Director of Undergraduate Studies Northern Illinois University How can we differentiate functions which are not differentiable? In the context of quasiregular mappings, a generalization of holomorphic functions …
Quads, Finite Geometry, and Sidon Sets Dr. Lauren Rose Associate Professor of Mathematics Bard College Quads is a SET-like card game, produced by the AWM under the name “EvenQuads”. The cards can be represented as points in $\mathbb{Z}_2^6$​, where a …