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mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).

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Alexander Schenkel's picture

Alexander Schenkel

Università di Trento
http://www.aschenkel.eu

Papers

On the structure of higher-dimensional integrable field theories

Marco Benini, Ryan A. Cullinan, Alexander Schenkel, Benoit Vicedo
April 27, 2026
topological-holomorphic higher Chern-Simons theories, higher-dimensional integrable field theories, L∞-algebras
open access link

Prefactorization algebras of superselection sectors

Marco Benini, Victor Carmona, Alexander Schenkel
April 27, 2026
prefactorization algebras, C∗-categories, higher algebra, algebraic quantum field theory, Superselection sectors, equivariance
open access link

The homological algebra of 2d integrable field theories

Marco Benini, Alexander Schenkel, Benoit Vicedo
January 27, 2026
integrable field theories, semi-holomorphic Chern-Simons theory, L∞-algebras
open access link

$C^\ast$-categorical prefactorization algebras for superselection sectors and topological order

Marco Benini, Victor Carmona, Pieter Naaijkens, Alexander Schenkel
May 12, 2025
prefactorization algebras, C*-categories, higher algebra, algebraic quantum field theory, Superselection sectors, topological order
open access link

An equivalence theorem for algebraic and functorial QFT

Severin Bunk, James MacManus, Alexander Schenkel
April 22, 2025
algebraic quantum field theory, functorial quantum field theory, Lorentzian geometry, bordisms, pseudo-operads
open access link

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Slides

  • Title: Higher Structures in Algebraic Quantum Field Theory
    Event: Mathematics of interacting QFT models
    Date: July 2, 2019
  • Title: From Fredenhagen's universal algebra to homotopy theory and operads
    Event: Quantum Physics meets Mathematics - a workshop on the occasion of Klaus Fredenhagen's 70th birthday
    Date: December 9, 2017
  • Title: Homotopy Theory + AQFT = Quantum Gauge Theory?
    Event: Quantum Field Theory: Concepts, Constructions & Curved Spacetimes
    Date: April 5, 2017

Theses

Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes

Alexander Schenkel
PhD Thesis, 2011, Würzburg
Advisor: Thorsten Ohl
noncommutative geometry, noncommutative gravity, QFT on non-commutative spaces, QFT on curved spacetimes
open access link

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