Useful references for my students and anyone else.
| Topics | References (with free links where possible even for published papers) | |
| Connes-Kreimer Hopf algebra Renormalization Hopf algebras Renormalization in this language |
Notes from some Hopf algebra lectures Notes from Erik Panzer's lectures (1, 2, 3, 4 with extra notes) in Saskatoon Notes from MATH 821 (see lectures 9 through 14) |
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| Multiple zeta values Transcendentality conjectures Multiple polylogarithms |
Hoffman Algebraic aspects of MZVs Panzer notes from a KOSMOS summer university Bowman and Bradley, Multiple polylogarithms: a brief survey |
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| Denominator reduction Parametric Feynman integration using polylogarithms |
Brown On the periods of some Feynman integrals | |
| Feynman integrals in momentum space position space parametric space and how to move between them |
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| Combinatorial Dyson-Scwhwinger equations Combinatorial specifications Foissy's results |
My thesis Flajolet and Sedgewick Analytic Combinatorics Foissy General Dyson-Schwinger equations and systems Foissy Faà di Bruno subalgebras of the Hopf algebra of planar trees from comb. DSEs |
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| Physics setup and language Fields, Lagrangians, path integral |
Zee QFT in a nutshell Cvitanovic Field Theory | |
| Important QFTs and their Feynman rules | ||
| Graph theory highlights Robertson Seymour theorem edge, vertex, internally connectivity |
What is your favorite graph theory reference? | |
| Linear algebra highlights Graph Laplacian, exploded Laplacian Matrix tree theorem Schur complementation Plücker and Dodgson identities |
Start with Wikipedia and go from there By exploded Laplacian I mean the matrix M you'd find in my or Francis' work. |
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| Hot news! When I wrote this list: gravitational waves The previous semester: quasi polynomiality of graph isomorphism |
You should keep up on what is exciting! LIGO detection of gravitational waves Community overview of Babai's result |