# Research

My area of research encompasses mathematical quantum field theory, microlocal analysis and stochastic partial differential equations. I study how these topics talk to each other at the interface of analysis, probability and algebra.

## Research interests

- Singular stochastic PDEs
- Algebraic quantum field theory
- Algebraic and analytic aspects of renormalization
- Microlocal analysis
- path integral formulation of SDEs

## Papers

**On the stochastic Sine-Gordon model: an interacting field theory approach**

A.B., Claudio Dappiaggi, Paolo Rinaldi

arXiv:2311.01558 [math-ph]**A microlocal investigation of stochastic partial differential equations for spinors with an application to the Thirring model**

A.B., Beatrice Costeri, Claudio Dappiaggi, Paolo Rinaldi

Mathematical Physics, Analysis and Geometry 27 (3), 1-52 DOI**An algebraic correspondence between stochastic differential equations and the Martin-Siggia-Rose formalism**

A.B., Claudio Dappiaggi, Nicolò Drago

arXiv:2302.10579 [math-ph]**An Algebraic and Microlocal Approach to the Stochastic Nonlinear Schrödinger Equation**

A.B., Claudio Dappiaggi, Paolo Rinaldi

Annales Henri Poincaré 24, 2443–2482 (2023) DOI

## Collaborators

**Claudio Dappiaggi**, University of Pavia**Nicolò Drago**, University of Trento**Paolo Rinaldi**, University of Bonn**Lorenzo Zambotti**, Sorbonne Université, LPSM