Analytic Number Theory
Spring 2024
Notes covering Dirichlet series, the Prime Number Theorem, and sieve methods. Based on lectures by Prof. [Name].
Download PDFThis section houses my personal handwritten (or TeXed) notes from various courses taken during my academic formation. They often include proofs and details that were discussed in class but might not be found in standard textbooks.
Graduate Studies
Advanced Probability
Fall 2024
Measure theory foundations, martingales, and Brownian motion. Includes solutions to selected in-class exercises.
Download PDFHomological Algebra
Fall 2024
Categories, functors, and derived functors (Ext, Tor). Focus on spectral sequences.
Download PDFUndergraduate Studies
Real Analysis I & II
2021-2022
Comprehensive notes on metric spaces, continuity, and Riemann integration.
Browse FolderGalois Theory
2023-1
Field extensions, splitting fields, and the fundamental theorem of Galois theory.
Download PDFDifferential Geometry
2023-2
Curves and surfaces in $\mathbb{R}^3$, curvature, and geodesics.
Download PDF* These notes are personal study materials and may contain errors or typos. They have not been peer-reviewed.