The study of algebraic structures and differential geometry has evolved into a dynamic interdisciplinary field that synthesises abstract algebraic concepts with the smooth variability of geometric ...

The Math 8806-8807 sequence will cover the following topics: Group Theory (Group actions, Sylow, Nilpotent/Solvable, simple groups, Jordan-Holder series, presentations); commutative algebra ...

Let $M$ be a smooth simply connected closed 4-manifold with positive definite intersection form. Suppose a finite group $G$ acts smoothly on $M$. Let $\pi: E ...

Let M be a smooth manifolds and L a second order, nondegenerate elliptic operator on M. Let p(t,x,y) be the heat kernel on M associated with the operator L. The basic asymptotic relation limt→0 t log ...