others
Here are some useful links for theoretical physics:
1 Gerard t' Hooft's website on How to become a GOOD Theoretical Physicist
2 LieArt -- for lie algebra
3 GAP -- for finite groups
4 msolve --Groebner basis approach for solving polynomial equations
5 Bertini -- homotopy continuation approach to solve polynomial equations
6 HomotopyContinuation.jl -- Julia package, homotopy continuation approach to solve polynomial equations
7 qgraf --generating Feynman diagram topologies
8 mb.m --Mellin Barnes approach to Feynman integrals
9 Cuba --numerical Monte Carlo integration
10 Macaulay2 --algebraic geometry, Gröbner bases ...
11 iGraph/M --a Mathematica interface for igraph, graph theory
Reading for fun:
1 Quanta Magazine is the place to catch the latest news of science
2 Physics of Scale collects the interviews of many early heroes of critical phenomena
3 When Does the Brain Operate at Peak Performance? by Quanta Magazine. The brain might be a self-organized critical system.
4 A surprising connection between the edge modes of the topological insulator and the earth's equatorial waves, see [1] [2] [3] .
Useful lectures (videos):
1 Subir Sachdev: TIFR/IAS course on The Quantum Phases of Matter
2 Bernd Sturmfels & Mateusz Michalek : Nonlinear Algebra
3 Zohar Komargodski: Quantum Field Theories in 2+1 Dimensions
4 Sasha Zhiboedov: The analytic S-matrix [notes]
5 Shota Komatsu: Topics on Integrability and N=4 SYM
6 Gerald Dunne: Introduction to Resurgence, Trans-series and Non-perturbative Physics
7 Gabriel Cuomo: The limit of large internal quantum numbers in CFT [1] [2] [3]
8 Balt Van Rees: Scattering Amplitudes
9 Chong Wang: Gauge theories in 2+1 dimensions and dualities [1] [2] [3][4] [5]
10 Anders Sandvik: Lattice models and numerical simulations
11 Shu-heng Shao: Anomalies of Global Symmetries
Useful lecture notes
1 David Simmons-Duffin: TASI Lectures on the Conformal Bootstrap
2 Slava Rychkov: EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions
3 Edward Witten: Three Lectures On Topological Phases Of Matter
4 Edward Witten: Fermion Path Integrals And Topological Phases
5 Ben Simons: Phase Transitions and Collective Phenomena
6 David Tong: Lectures on Gauge Theory
7 Paul Ginsparg: Applied Conformal Field Theory
Useful references:
1 Robert Feger, Thomas W. Kephart, Robert J. Saskowski, LieArt2
2 Scott Lawrence, Brian McPeak, CFT zoo
3 Cordova, Dumitrescu, Intriligator, Multiplets of Superconformal Symmetry in Diverse Dimensions
4 Andrea Pelissetto, Ettore Vicari Critical phenomena and renormalization group theory
5 Johan Henriksson, The critical O(N) CFT: Methods and conformal data
6 Edward Witten, Three Lectures On Topological Phases Of Matter and Fermion Path Integrals And Topological Phases
Books:
1 P Francesco, P Mathieu, D Sénéchal "Conformal field theory" (the yellow Bible)
2 John Cardy, "Scaling and Renormalization in Statistical Physics"
3 Alexander Polyakov, "Gauge Fields and Strings"