# 2009-2010 MAT477 Seminar

**Seminar in Mathematics**

Instructor: Pierre Milman

## Class Photos

## Class Notes

## Student Talks

- Oct 30, 2009 and Jan 8, 2010. DeRham Theorem - Whitney's proof (2 talks: Paul Harrison and Nora Margret Loose).
- Jan 15, 2010. Hilbert's Nullstellensatz (Jia Ji).
- Jan 22, 2010. Distance to Hypersurface Theorem (Dejan Ignjatovic).
- Jan 29, 2010. Sard's theorem. Proof, applications (Pavel Golikov).
- Feb 05, 2010. An Introduction to Degree of Smooth Maps (Mustazee Rahman). See also supplementary notes.
- Feb 12--Mar 02, 2010. Resolution of Singularities (3 talks: Will Pazner and (two) by Ilia Smirnov).
- Mar 05--Mar 16, 2010. $C^\infty$ Preparation Thms and Whitney's topologically stable maps of $R^2$ to $R^2\ $ (3 talks: Omar Rammo, Kejia Wang and Janet Li).
- Mar 12, 2010. Algebraic Curves and Riemann Surfaces (Matthew Baxter).
- Mar 19, 2010. Explicit Inverse Mapping Theorem and an application (Siu Sing Chow).
- Mar 26, 2010. Chow Theorem: *analytic implies analytic (Mitsuru Wilson).
- Mar 30, 2010. Bezout Theorem: `None at $\infty$' implies $\#P^{-1}(0) =$ product of degrees (Jooho Jeremie Kim).