Proceedings of the National Academy of Sciences of the United States of America, Vol. 108, No. 20 (May 17, 2011), pp. 8122-8125 (4 pages) We discuss generic smooth maps from smooth manifolds to smooth ...
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 ...
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 ...
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 ...
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 ...