This page contains notes that I took during some of my courses at Columbia. There is no strict ordering in which they are presented. While some of the notes are transcribed from handwritten notes taken during lecture, others aren't; in any case, all errors are my own, so please email me if you find any mistakes in the notes!

TCS and TCS-adjacent

• computational learning theory (F23)
• graph theory (S24)
• intro. cs theory (F21)
• cryptography (S23)
• unconditional lower bounds and derandomisation (S24)
• computational complexity (S23)
• advanced algorithms (S24)
• approximation algorithms (F23)
• randomised algorithms (F24)
• linear optimisation (F23)
• combinatorial optimisation (S24)
• advanced combinatorial optimisation (S25)

Mathematics and applied mathematics

• linear algebra (S22)
• probability for engineers (F22)
• convex optimisation (S24)
• partial differential equations (F24)
• analysis and probability (F24)
• elliptic partial differential equations and functional analysis (S25)
• commutative algebra (F24)
• algebraic geometry (S25)
• supervised readings: elliptic curves with complex multiplication (F23)
• lie groups and representations (F24)

Other computer science

• machine learning (S23)
• databases (F23)
• natural language processing (S22)
• reinforcement learning (F23)
• malware analysis and reverse engineering (F23)
• operating systems (F24)