Dirk Kreimer

Hopf Algebras, Renormalization and Noncommutative Geometry

Alain Connes, Dirk Kreimer · Communications in Mathematical Physics · 1998 · 800 citations · Full text

Hopf Algebra, Non-commutative Algebra, Hopf Algebras

On the Hopf algebra structure of perturbative quantum field theories

Dirk Kreimer · Advances in Theoretical and Mathematical Physics · 1998 · 385 citations · Full text

Hopf Algebra, Representation Theory, Physics +9

Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops

David Broadhurst, Dirk Kreimer · Physics Letters B · 1997 · 300 citations · Full text

Positive Knots, Physics, Natural Sciences +6

Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The β-Function, Diffeomorphisms and the Renormalization Group

Alain Connes, Dirk Kreimer · Communications in Mathematical Physics · 2001 · 298 citations · Full text

Engineering, Riemann-hilbert Problem, Quantum Field Theory +5

Exact solutions of Dyson–Schwinger equations for iterated one-loop integrals and propagator-coupling duality

David Broadhurst, Dirk Kreimer · Nuclear Physics B · 2001 · 131 citations · Full text

Spectral Theory, Engineering, Resolvent Kernel +5