? mil a Zelda, mercurial child of the hectic '20s, captured the love of novelist, F. Scott Fitzgerald. In a frenzied effort to match his genius she threw herself into painting, writing and ballet before tragically ending her life in a mental hospital.

The goal of the second set of topics in the course is to introduce students to hyperbolic geometry and its connections to dynamical systems and number theory. We build on abstract notions of topological spaces and groups that come together in this beautiful and very concrete subject. We will mostly deal with isometries of the hyperbolic plane, with projects covering connections to number theory...

Mean curvature flows of hypersurfaces have been extensively studied and there are various different approaches and many beautiful results. However, relatively little is known about mean curvature flows of submanifolds of higher codimensions. This notes starts with some basic materials on submanifold geometry, and then introduces mean curvature flows in general dimensions and co-dimensions. The ...

We present a novel quantitative approach for studying creative leaps. Participants explored the space of shapes composed of ten adjacent squares, searching for ‘interesting and beautiful’ shapes. By recording players’ actions we were able to quantitatively study aspects of their exploration process. In particular our goal is to identify populated sub-regions in the shape space and study the dyn...

At first, topology and combinatorics seem far removed from each other. Combinatorics deals with finite sets and “rigid” structures whereas in topology you often have spaces which you are allowed to deform continuously (hence the classic phrase that a coffee cup and a donut are the same thing to a topologist). Yet the last several decades have seen beautiful applications of topology in combinato...