Functional analysis, Operator algebras, Algebraic quantum field theory, conformal field theory, analytic representation theory
Overview of the research
I work on algebraic and analytic structures of Quantum Field Theory. I investigate 2D conformal field theories in the algebraic QFT, Wightman, and the Osterwalder-Schrader frameworks. I also study reflection positivity for representations of Lie groups.
Papers
Reflection positivity and its relation to disc, half plane and the strip
Maria Stella Adamo; Karl-Hermann Neeb; Jonas Schober
Expositiones Mathematicae, Jul. 2025
Representations of Conformal Nets Associated with Infinite-Dimensional Groups
Maria Stella Adamo; Luca Giorgetti; Yoh Tanimoto
Journal of Lie Theory, 2025, Peer-reviewed, Invited
Mini-Workshop: Standard Subspaces in Quantum Field Theory and Representation Theory
Maria Stella Adamo; Gandalf Lechner; Roberto Longo; Karl-Hermann Neeb
Oberwolfach Reports, 23 Jul. 2024
C*-algebras associated to homeomorphisms twisted by vector bundles over finite dimensional spaces
Maria Adamo; Dawn Archey; Marzieh Forough; Magdalena Georgescu; Ja Jeong; Karen Strung; Maria Viola
Transactions of the American Mathematical Society, 18 Jan. 2024
Wightman Fields for Two-Dimensional Conformal Field Theories with Pointed Representation Category
Maria Stella Adamo; Luca Giorgetti; Yoh Tanimoto
COMMUNICATIONS IN MATHEMATICAL PHYSICS, Dec. 2023
Reflection positivity and Hankel operators-The multiplicity free case
Maria Stella Adamo; Karl-Hermann Neeb; Jonas Schober
JOURNAL OF FUNCTIONAL ANALYSIS, 15 Jul. 2022
On Some Applications of Representable and Continuous Functionals of Banach Quasi ∗-Algebras
Maria Stella Adamo
Operator Theory: Advances and Applications, 01 Apr. 2021
Tensor products of normed and Banach quasi *-algebras
Maria Stella Adamo; Maria Fragoulopoulou
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 15 Oct. 2020
Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras
Maria Stella Adamo; Camillo Trapani
ANNALI DI MATEMATICA PURA ED APPLICATA, Oct. 2019
Representable and Continuous Functionals on Banach Quasi *-Algebras
Maria Stella Adamo; Camillo Trapani
MEDITERRANEAN JOURNAL OF MATHEMATICS, Aug. 2017
Fixed point and homotopy results for mixed multi-valued mappings in 0-complete partial metric spaces
Maria Stella Adamo; Calogero Vetro
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2015
Presentations
Osterwalder-Schrader axioms for a class of unitary 2D Conformal Field Theories
DPG Spring Meeting 2026 in Erlangen, Section "QFT I: Axiomatic, Probabilistic, Algebraic, Conformal", FAU Erlangen-Nürnberg (Germany), 17 Mar. 2026, Invited
This Is What I Do: 2D extensions of chiral conformal field theories in algebraic QFT
09 Jan. 2026, Invited
An operator algebraic construction of 2D extensions of the Heisenberg conformal net
Applied Analysis Seminar at Brigham Young University, Department of Mathematics (Provo, USA), 04 Dec. 2025, Invited
Osterwalder-Schrader reconstruction for unitary full vertex operator algebras
"Operator Algebras and Mathematical Physics", International Centre for Mathematical Sciences Edinburgh,, 29 Sep. 2025, Invited
An operator algebraic construction of 2D extensions of the Heisenberg conformal net