I am a PhD candidate at Purdue University. My main research area is mathematical physics and quantum algebra.

In detail, I am interested in studying higher structure emerging from renormalization in quantum field theory. My current research involves the theory of Hopf algebras in particular as they relate to renormalization problems, operadic calculus and Koszul duality. I would characterize my field as mainly lying in algebra, but with substantial overlap with mathematical physics and algebraic topology.

Publications:

  1. Ralph M. Kaufmann, Yang Mo, “Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics”, Published in SIGMA 18 (2022), arXiv:2104.08895

  2. Yang Mo, “The structure of simply colored coalgebras”, To appear in Contemporary Math volume Higher Structures in Topology, Geometry and Physics, arXiv: 2301.08462

Work in progress:

  1. Ralph M. Kaufmann, Yang Mo, Michael Monaco, Bimodule co-- and bi-algebras, Hochschild complexes and $B_+$--operators.