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 ...

Algebraic and differential geometry stand as two intertwined pillars of modern mathematics. Whereas algebraic geometry investigates the solution sets of polynomial equations using the refined language ...

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 ...