Richard Evan Schwartz

Math Notes

• Dehn Dissection Theorem
• Dehn-Sydler Theorem download the companion java program
• Banach Tarski Theorem
• transcendence of Pi & Lindemann's Theorem
• Machin's Formula for Pi
• ArcTan relations
• Weierstrass uniformization
• error correcting codes
• Modular Forms and Fourier Series
• Multiplication and the Fast Fourier Transform
• Random Graphs
• Pan Galactic Division (also an intelligencer article)
• Kastelyn's formula for perfect matchings
• Link Universality
• NP Completeness
• Basic Symplectic Geometry
• Out(S6) and the Matthieu(12) Group
• Hadamard's Theorem
• Mostow Rigidity
• Thurston's Shapes of Polyhedra
• ZF, Choice, Zorn, Ordinals, Ultrafilters
• The Positive Dominance Algorithm
• The Cut Locus and The Jordan Curve Theorem
• Alexander's Proof of the Jordan Curve Theorem
• Random Walks and Electric Networks
• Holonomy Proof of Morley' Theorem
• Components of the Fiber Product
• The Gauss-Salamin Algorithm
• Expanders and Property T