Sciences

Work at MIT Quantum Mechanics II (8.05): review notes for the final exam.

Work at MIT Relativity (8.033): miscellaneous notes on various parts of the class.

Work at MIT String Theory for Undergraduates (8.251): miscellaneous partial notes (1, 2, 3) taken during the class, unlikely to be anywhere near as good as the course book by Prof Barton Zweibach who taught it.

Columbia Business School - First Year of the Doctoral Program in Decisions, Risk and Operations Some notes on game theory based on "Microeconomic Theory" taken during a course by Prof Paolo Siconolfi.

Columbia Business School - First Year of the Doctoral Program in Decisions, Risk and Operations • Notes covering more technical material in the "Foundations of Optimization" class above, including duality, KKT conditions, no-convex program and more.

Columbia Business School - First Year of the Doctoral Program in Decisions, Risk and Operations • Stochastic processes o Notes from Prof Assaf Zeevi's "Foundations of Stochastic Modelling". o Notes from Prof David Yao's "Stochastic Processes II". o A copy of the cheat sheet used for the stochastic part of my qualifying exams.

Columbia Business School - First Year of the Doctoral Program in Decisions, Risk and Operations • Stochastic processes o Notes from Prof Assaf Zeevi's "Foundations of Stochastic Modelling". o Notes from Prof David Yao's "Stochastic Processes II".

Columbia Business School - First Year of the Doctoral Program in Decisions, Risk and Operations • Stochastic processes o Notes from Prof Assaf Zeevi's "Foundations of Stochastic Modelling". o Notes from Prof David Yao's "Stochastic Processes II".

Columbia Business School - First Year of the Doctoral Program in Decisions, Risk and Operations • Notes based on "Optimization 1", a course I took with Prof Donald Goldfarb in the fall of 2010. The notes also draw heavily on Bestimas and Tsitsiklis' "Introduction to Linear Optimization". These notes cover linear programming, including duality, the simplex algorithm and sensitivity analysis, with a particular focus on geometry. (The notes also include a very short condensed section on net...

Columbia Business School - First Year of the Doctoral Program in Decisions, Risk and Operations • Condensed Notes roughly following two courses I took - "Foundations of Optimization" (thought by Prof Ciamac Moallemi) and "Convex Optimization" (thought by Prof Garud Iyengar). These notes are also heavily based on Boyd and Vandenberghe's book "Convex Optimization" (available online) and Luenberger's "Optimization by Vector Space Methods". The chapter numbers in these notes refer to Bo...