Some of my mathematical works.

**Papers**

- “Riemann’s Explicit Formula” (2012), written for a graduate complex analysis course—[pdf]
- “The Sum of Two Squares” (2013)—[pdf]
- “On the Connectivity of the Reddit Community” (2013)—[pdf]
- “Visible Grid Points” (2013)—[pdf]

**Presentations**

- “Riemann’s Explicit Formula” (2012), presentation for the paper in the previous section—[pdf]

**Expository Math Articles**

- “#1: De Bruijn Sequences” (2012)—[internal link]
- “#2: Epic Morphisms” (2012)—[internal link]
- “#3: Rings” (2012)—[internal link]
- “#4: Math of the 2012 Election” (2012)—[internal link]
- “#5: The Cantor Set and Cantor Function” (2012)—[internal link]
- “#6: The Sum of Two Squares” (2013)—[internal link]
- “#7: The Visible Grid Point Problem” (2013)—[internal link]
- “#8: Immeasurable Sets in R” (2013)—[internal link]

**Lay Math Articles**

- “Encountering Infinity Twice in a Row” (2010)—[external link]
- “A Layman’s Explanation of the Banach Tarski Paradox” (2010)—[external link]
- “The Basics of Recursion vs Iteration” (2010)—[external link]
- “10 Mind Blowing Mathematical Equations” (2011)—[external link]
- “Why Math?” (2012)—[external link]
- “The Math You Weren’t Allowed to Do” (2012)—[external link]
- “How Do You Define Obvious?” (2012)—[external link]
- “7 Very Misleading Sequences” (2013)—[internal link]

**Selected Course Notes
**

- Math 7370: Algebraic Number Theory (Spring 2013)—[external link]
- Math 4340: Abstract Algebra (Spring 2013)—[external link]
- CS 4820: Algorithms (Spring 2013)—[external link]

**Other**

- Solutions with full proofs to first few chapters of Apostol’s
*Introduction to Analytic Number Theory*and first several chapters of Van Lint & Wilson’s*A Course in Combinatorics*(2012-2013)—[internal link]

Advertisements