Math 401
This is a course about symmetrical group and bunch of applications in other fields of math.
Prof. Renado Fere is teaching this course.
The course is split into two parts:
- Symmetrical group
- Summer research project
Symmetrical group (Spring 2025 Course)
Notes from N1-N3.
Basically are overview of some interesting topics related to symmetrical group or other related math topics.
I don’t record them carefully, but I will try to update them if they are necessary for my future reference.
Summer research project
Schedule
Presentation starts next week
Start with examples, do exploratory work, it’s just a summer.
Final work: Find certain topic you are interested in, and do a expository paper.
Find the motivation, background, definition, theorem, example, application for the theory you are interested in.
At least 3 presentations is required.
Collect the papers you interested in as you go the research, it is not linear.
Symposium on November.
Lightning talk (3 minutes) on end of July.
Topic of interest
I am interested in the following topics:
- Quantum error correction
- Von Neumann algebra and other operator algebras which are related to quantum algorithms
Notes
T1-T7 should be the notes for the spring course Math 444. Taught by Prof. Renado Fere on Spring 2025 but I don’t know that and they are helpful for understanding the material for the book that might contains my subject of interest.
The Functional Analysis of Quantum Information Theory
The original lecture notes, by Prof. Renado Fere, are here, may move to other places. Last updated on 2025-06-14.
Math 444 Spring 2025 Notes, Lecture 1
Math 444 Spring 2025 Notes, Lecture 2
Math 444 Spring 2025 Notes, Lecture 3
Math 444 Spring 2025 Notes, Lecture 4
Math 444 Spring 2025 Notes, Lecture 5
Math 444 Spring 2025 Notes, Lecture 6