User:Shadestunna

Crypto
Diffie Hellman Key Exchange

Old Stuff
Some solutions to Hartshorne Chapter 1

Solutions to Atiyah-Macdonald

Low Carb Info

Algebra Qual Links
Q is injective and not projective

solvable group paper

more solvable stuff

y^2-x^3 thing p.197

prime ideal => maximal ideal

Max Ideals of Z[x]

Max ideals C[0,1]

Field theory (mathematics) Algebraically closed field

Missouri - Solved Quals

Wisc. - Lots of solutions

Fresno - Lots of Solutions

Vermont - Lots of solutions

Michigan - Lots of Solutions

Abstract Algebra Example Problems

Complex Qual Links
Infinite Products Lecture

Pointwise convergence, Uniform convergence, Compact convergence, Convergence tests, Equicontinuity

Branch point, Principal branch, Complex logarithm

Holomorphic function, Analytic function, Cauchy–Riemann equations, Möbius transformation

Green's theorem, Cauchy's integral theorem, Cauchy's integral formula, Analyticity of holomorphic functions

Entire function, Liouville's theorem (complex analysis), Fundamental theorem of algebra, Morera's theorem

Power series, Taylor series, Laurent series

Mathematical singularity, Removable singularity, Pole (complex analysis), Essential singularity

Meromorphic function, Casorati–Weierstrass theorem, Picard theorem

Residue (complex analysis), Residue theorem, Methods of contour integration, Jordan's lemma

Argument principle, Winding number, Hurwitz's theorem (complex analysis), Rouché's theorem, Open mapping theorem (complex analysis)

Maximum modulus principle, Schwarz lemma, Phragmén–Lindelöf principle, Mittag-Leffler's theorem

Partial fractions in complex analysis, Infinite product, Weierstrass factorization theorem

Jensen's formula, Nevanlinna theory

Analytic continuation, Schwarz reflection principle, Gamma function, Arzelà–Ascoli theorem, Montel's theorem

Riemann mapping theorem, Conformal map, Harmonic function

Note: The material around Mittag-Leffler and infinite products has some gaps - use class notes.

Solutions to Lang's Complex Analysis

Lots of solution links

Rice - Solved probs 1

Rice - Solved probs 2

Utah - some solutions

Vermont - Lots of solutions

Complex Variables Example Problems