This paper begins with prerequisite information on stochastic calculus and financial terms to build toward deriving and solving the PDE. It also goes over some example solutions and has a bit on applications. I wrote most of the paper, but credits to my group for their respective additions.

This document is my final project for a course on algebraic geometry I took which addresses many deep topics related to varieties and elliptic curves.

This slide deck covers the history of magic squares, how we can make a projective variety and study the algebraic geometry of a 3×3 magic square of squares, and what information we can learn about said variety. It ends with summarizing the current research toward finding a 3×3 solution.

Version 2 coming soon with more methods and reformatted for easier use.

Many math youtube channels post their solutions to interesting problems involving an assortment of integrals, infinite series, derivatives, and limits. However, they almost always leave out a crucial step of justifying why you get to switch the order of them in the problem, which is not always allowed. This post describes the situations for each pair of operators where the switch is justified.

This 50 page portfolio documents the culmination of my work on Real Analysis during my time at CSUF while working on my M.A. and all the ways we got to the roots of Calculus. At the end of the term, I polished the proofs I made, as well as included some interesting problems I made mini-presentations on for the class.

This 200 page collection of math problems from a wide range of subjects like geometry, algebra, and calculus contains at least 2 solutions per problem to help facilitate student learning. I expect to write another volume later.