Notes

Disclaimer: These are notes I wrote for my understanding. They are not proofread and might contain errors. If you spot any errors or have any feedback, please feel free to let me know.

• What and Why of Hypercontractivity (23 July 2025)

• Sumcheck Protocol (30 September 2025)

Notes on a guest lecture at the Topics in Algorithms and Complexity (Fall 2025) course at the University of Copenhagen.

"I have often pondered over the roles of knowledge or experience, on the one hand, and imagination or intuition, on the other, in the process of discovery. I believe that there is a certain fundamental conflict between the two, and knowledge, by advocating caution, tends to inhibit the flight of imagination. Therefore, a certain naivete, unburdened by conventional wisdom, can sometimes be a positive asset."

 - Harish-Chandra