Resources
Math resources
Interested in learning operator theory? Check out these resources.
A Short History of Operator Theory
Hilbert Spaces: A Sequel to Linear Algebra
The Operator Theory Information Network (OPT-IN) has some nice resources here.
The Fields Institute did a focus program in analytic function spaces in Fall 2021. You may enjoy some of the videos in their YouTube playlist (particularly the minicourses).
General Resources
Please check out the Forum of Complex and Harmonic Analysis (FOCAHA) for resources in Europe.
First year students can join SUBgroups: an online peer group.
Faculty and administrators may be interested in paraDIGMS: Diversity in Graduate Mathematical Sciences.
Graduate students may find Mark Tomforde's Grad Guide useful.
Project NExT is a program for people interested in teaching.
Mathematical Software
It's worth the time to learn some basics of programming, and mathematical software in particular. Here are some of the programs we use:
Sagemath: an open source mathematical software (free!)
CoCalc: access Sage, Macaulay2, R, Python, and more online via a collaborative platform (think google docs, but for code).
sagecell server: not good for large programs, but if you want to do a smaller computation (row reduce a matrix, get latex code from sage input, etc), this can do one cell of sage without downloading the whole software
Mathematica: WolframAlpha but better
Official Site (you may be able to get it for free through your institution)
Ryan Tully-Doyle has a YouTube Playlist with some introductory videos
Associated Github repository: rtullydo.github.io/math350
NCAlgebra add in for noncommutative functions
Octave: an open source version of MatLab
Try for free online with OctaveOnline
MatLab: popular with engineers, more numeric than symbolic
Official Site (you may be able to get it for free through your institution)
QETLAB for quantum entanglement