Combinatorial Convexity and Algebraic Geometry by Günter Ewald. Link here.

• This is currently an in-progress book for me (started Oct.23). I was motivated to read it after reviewing papers by Greg Blekherman. Thus far, it has been great. I will hope to post notes, split by theme, below.
• Chapter 1 notes here.

ISyE 6661: Linear Optimization by Dr. Arkadi Nemirovski. Link to his book here.

• This course was taken during Spring 2023 semester during my MS studies and I thoroughly enjoyed the rigorous approach. This book focuses purely on LO theory and algorithms, or rather the ''machinery'', leaving out the study of applications as these are far too numerous.
• It is highly suggested to solve all of the exercises in this book to gain a strong foundation to tackle other, more in-depth optimization courses.

ISyE 6662: Discrete Optimization by Dr. Alejandro Toriello. Link to the course notes, provided by Dr. Santanu Dey, here.

• This course was taken during Spring 2023 semester. It is suggested to supplement the notes above with reading the book from Cornuejols, Conforti & Zambelli, which is a solid reference.
• Homework 1 here.
• Homework 2 here.
• Homework 3 here.
• Homework 4 here.
• Homework 5 here.
• Homework 6 here.

ISyE 6663: Nonlinear Optimization by Dr. Johannes Milz. Link to the course notes here.

• This course was taken during Fall 2023 semester. I suggest to supplement the coursenotes above with Yurii Nesterov's Lectures on Convex Optimization.

ISyE 7683: Advanced Nonlinear Programming by Dr. Arkadi Nemirovski. Course notes here. Transparencies here.

• This course was taken during Spring 2024 semester and was very enjoyable. As ever, it is recommended to complete all exercises.

ISyE 7686: Advanced Combinatorial Programming by Dr. Mohit Singh. Course notes were directly taken from Schrijver and Cook's book, linked here.

• This course is being taken during Spring 2024 semester. I hope to include exercises below as I progress through the material.

ISyE 8813 Convex and Nonconvex optimization by Dr. Renato Monteiro. This course was taken during Spring 2024. Course notes here. Book reference on first order methods here.

ISyE 8813: Statistical Inference via Convex Optimization by Dr. Arkadi Nemirovski. Link to his book, cowritten with Dr. Anatoli Juditsky, is provided here. Rating: 10/10.

• This course was taken during Fall 2023 semester. I am incredibly grateful to have taken this course with Arkadi, as his insights and lectures were invaluable, and he has continued to help me shape my research interests.
• Notes here

A Course in Convexity by Alexander Barvinok. Link here. Rating: 9/10.

• This is a book I started in early November, having been suggested to read it by Dr. Nemirovski (Nov.23). If you want an extremely precise, coherently written, and broad overview of topics in convexity, this is the book for you.
• Notes here

Math 8803: Convex Geometry by Dr. Grigoriy Blekherman.

• This course was taken during Spring 2024. All assignments will be posted below. Coursebook is linked here.
• Assignment 1 here.
• Assignment 2 here.
• Assignment 3 here.
• Assignment 4 here.
• Mini conference on Convex Geometry here.

• This course is being taken during Spring 2024 semester. I hope to post coursenotes, alongside assignments, below. The coursebook is from her former PhD advisor Barry Nelson, linked here.
• Assignment 2 here.

• Assignments to be posted as they become completed. The main notes stem from Alexander Shapiro's, linked here.

• This course was taken during Fall 2023 semester. I will hope to post coursenotes, alongside assignments, below. This was an extremely well-structured course, and I really enjoyed learning the material.
• Course notes here.
• Assignment 1 here.
• Assignment 2 here.
• Assignment 3 here.
• Assignment 4 here.
• Assignment 5 here.
• Assignment 6 here.
• Assignment 7 here.