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]