Dr Erik Panzer

PhD

Pronouns

He / Him

Status

Research Fellow

ORCID iD

Research groups

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Major / recent publications

Unstable cohomology of $\mathsf{GL}_{2n}(\mathbb{Z})$ and the odd commutative graph complex (with F. Brown and S. Hu) [arXiv]
Regularized integrals and manifolds with log corners (with C. Dupont and B. Pym) [arXiv]
Feynman symmetries of the Martin and $c_2$ invariants of regular graphs (with K. Yeats) [doi] [arXiv]
Hierarchies in relative Picard-Lefschetz theory (with M. Berghoff) [arXiv]
Hepp's bound for Feynman graphs and matroids [doi] [arXiv]
Multiple zeta values in deformation quantization (with P. Banks and B. Pym) [doi] [arXiv]
Lambert-W solves the noncommutative $\Phi^4$-model (with R. Wulkenhaar) [doi] [arXiv]
Feynman integral relations from parametric annihilators (with T. Bitoun, C. Bogner and R. P. Klausen) [doi] [arXiv]
The Galois coaction on $\phi^4$ periods (with O. Schnetz) [doi] [arXiv]
Minimally subtracted six loop renormalization of $O(n)$-symmetric $\phi^4$ theory and critical exponents (with M. V. Kompaniets) [doi] [arXiv]
Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals [doi] [arXiv]

Prizes, awards, and scholarships

All Souls Post-Doctoral Research Fellow (2015-2020)

Research interests

Feynman integrals, perturbative quantum field theory, graph complexes, deformation quantization, polylogarithms

Teaching

I regularly supervise dissertations and summer research projects. Feel free to inquire if you are interested.