Starting with mathematics,
writing thoughts down.
Here I share my mathematical notes, reflections, and essays: from the intuition behind a concept to the details of a proof, from questions found in books to thoughts beyond mathematics. Understanding and writing, a little at a time.
Mathematical Notes
Exploring the connections between different branches of mathematics.
01 · HARMONIC ANALYSIS
Harmonic Analysis
Exploring the structure of functions and the geometric intuition of Fourier analysis through frequency, oscillation, and scale.
02 · MARTINGALE THEORY
Martingale Theory
Notes on conditional expectation, martingales, and stopping times, covering basic concepts, convergence, and inequalities in stochastic processes.
03 · OPERATOR ALGEBRAS
Operator Algebras
Exploring the language and examples of C* algebras and von Neumann algebras, starting with operators on Hilbert spaces.
04 · FUNCTIONAL ANALYSIS
Functional Analysis
Notes on normed spaces, linear operators, and duality, with an emphasis on concrete understanding behind abstract structures.
BEYOND MATHEMATICS
Reflections & Essays
A place for thoughts that need not become theorems: reflections on reading, everyday observations, and questions still taking shape.
Latest Updates
A little understanding, one entry at a time.