I began typing up my notes in LaTeX during the last couple of semesters in my undergrad at SFSU. Thus, I have maintained a collection of condensed notes from those times.
These notes are specifically the theorems, remarks and corollaries used in proofs within the homework, and are written without justification.
I’ve organized my notes from these classes into four major topics:
Then you’ll see links to my Masters Thesis.
Please contact me if you find any mistakes in the notes!
Algebra
Class  Professor  Syllabus/Topics Covered 

Number Theory  Dr. Matthias Beck  Divisibility Primes Congruences Arithmetic functions Primitive roots Quadratic reciprocity Continued fractions 
Modern Algebra I  Dr. Matthias Beck  Integers & the Euclidean algorithm Complex numbers, roots of unity & Cardano’s formula Modular arithmetic & commutative rings Polynomials, power series & integral domains Permutations & groups 
Modern Algebra II  Dr. Matthias Beck  Review of basic properties of groups and rings and their quotient structures and homomorphisms, group actions, Sylow’s theorems, principal ideal domains, unique factorization, Euclidean domains, polynomial rings, modules, tensor products, field extensions, primitive roots, finite fields. 
Graduate Algebra  Dr. Matthias Beck  Rings and modules; further material is selected from such topics as Wedderburn theory, Noetherian ring theory, field theory, and general algebraic systems. 
Analysis
Class  Professor  Syllabus/Topics Covered 

Real Analysis I  Dr. Alex Schuster  In this course we will prove many of the results from Calculus. We will examine in detail the concepts of limits, continuity, differentiation and integration. 
Real Analysis II  Dr. Alex Schuster  Sequences and series of functions, uniform convergence, realanalytic functions, metric spaces, open and closed sets, compact and connected sets, and continuous functions. 
Graduate Analysis  Dr. Sheldon Axler 
Geometry
Class  Professor  Syllabus/Topics Covered 

Geometry  Dr. Joseph Gubeladze 

Applied Mathematics
Class  Professor  Syllabus/Topics Covered 

Mathematics of Optimization  Dr, Serkan Hosten 

Probability and Statistics with Computing  Dr. Mohammad Kafai 

Master’s Thesis
My Master’s Thesis, “Computerational Verification of the Cone Conjecture” is hosted in a few ways:
 California State University: Scholar Works
 Github: LaTeX of thesis
 Github: Source code in python