## Notes & Technical Writing

Here are my notes: short notes, mostly expository, about well-known or research problems, notes from self-studying mathematical texts, and lecture notes from lectures.

### Expository Notes & Tutorials

**An alternative proof of convergence for \( e^x \)**

*Proving that the exponential function converges using only the very basic facts about
infinite series.*

[PDF]

Reynald Affeldt has formalized the proof in Coq, using the Mathematical Components Analysis library.

**Introduction to topological K-theory**

*A brief introduction to the K-theory of topological spaces and its connection
with the K-theory of C*-algebras.
*

[PDF]

### Formalized Mathematics

**The Eckmann-Hilton Theorem**

*The higher homotopy groups are abelian. Mostly following the proof of Theorem 2.1.6 in
the*
HoTT Book.

[GitHub]

### Surveys

**Securing Complex Software Systems Using Formal Verification and Specification**

This was originally written as a course report for COMP 116, "Introduction to Computer
Security",
Fall 2017, Tufts University.

[PDF]

### Project Reports

**Formalizing the DFUDS Representation in Coq**

Project report for CS 591K, "Foundations and Pragmatics of Dependently-Typed Systems",
Spring 2019,
Boston University.

(Note that the work reported is still very preliminary, and the approach outlined
might turn out not to be the most best approach.)

[PDF]

**Exploring Corpora-Based Music Classification: Classifying Japanese Popular Music using
Lyrics**

Project report for COMP 150WC, "Working with Corpora", Fall 2018, Tufts University.

[PDF]