Dr Erik Panzer

I am currently a [link to https://royalsociety.org/][Royal Society] University Research Fellow at the Mathematical Institute. I have been affiliated with All Souls College since 2015; first as a Post-Doctoral Research Fellow (2015-2020) and since then as a 50 Pound Fellow. I completed my [link to https://arxiv.org/abs/1506.07243][PhD] in 2015 under the supervision of Prof. Dirk Kreimer at Humboldt University Berlin, on the symbolic integration of Feynman integrals in particle physics. These integrals are associated to combinatorial graphs and they are used by physicists to calculate effects from quantum mechanics, e.g. to predict the outcome and interpret the measurements of particle collider experiments. At the same time, Feynman integrals are a rich source of surprising and interesting mathematical phenomena and problems. In my research since my PhD, I have for example been exploring singularities, relations and identities, and numerical approximations of Feynman integrals. This has led me to discovering new relations in graph theory, and it is these combinatorial structures that I have recently been focussing my work on.