Homepage of Christiaan J. F. van de Ven

I am a mathematical physicist applying functional-analytic and operator-algebraic methods to study the mathematical structures underlying statistical mechanics, equilibrium thermodynamics, and (foundations of) quantum theory. Additionally, the theory of large deviations also piques my interests.

I am a postdoc working in the group of Prof. Dr. Gandalf Lechner at FAU Erlangen-Nürnberg.

In December 2021 I obtained my PhD in Mathematics cum laude at the University of Trento under the supervision of Prof Dr. Valter Moretti. To this end I was awarded a Marie Skłodowska-Curie PhD Fellowship part of the European project INdAM-DP-Cofund-2015 ‘INdAM Doctoral Programme in Mathematics and/or Application Cofunded by Marie Skłodowska-Curie Actions’ .

After obtaining my PhD I have worked as an Alexander von Humboldt Postdoctoral Research Fellow at the University of Würzburg in the of Prof. Dr. Stefan Waldmann. In February 2025, I was awarded the Marie Skłodowska-Curie Actions Fellowship for postdoctoral research.

I am currently teaching the course Mathematische Grundlagen der Quantisierungstheorie und Anwendungen (in English).

Research interests


Mathematics
• Functional analysis  
• Operator algebras  
• (Strict / C*-algebraic) deformation quantization  
• Measure theory  
• Generalized Locally Toeplitz Sequences
Mathematical physics
• Quantum and classical many-body particle systems  
• Large deviations, entropy, Lieb-Robinson bounds,  
• Spontaneous symmetry breaking, phase transitions, KMS states, Gibbs measures  
• Algebraic derivation of the macroscopic limit of statistical mechanics
 

Publications

  1. Classical dynamics of infinite particle systems in an operator algebraic framework
    (with T. v. Nuland)
    2. - Annales Henri Poincaré (2026)

  2. Classical and quantum KMS states on spin lattice systems
    (with N. Drago and L. Pettinari)
    3. - Communications in Mathematical Physics Vol 406, 163 (2025)

  3. Gibbs states and their classical limit
    - Reviews in Mathematical Physics Vol 36, Iss 05 (2024)

  4. Strict deformation quantization and local spin interactions
    (with N. Drago) - Communications in Mathematical Physics Vol 405, 14 (2024)

  5. Emergent phenomena in Nature: a paradox with Theory?
    - Foundations of Physics Vol 53, 5 (2023)

  6. DLR-KMS correspondence on lattice spin systems
    (with N. Drago) - Letters in Mathematical Physics Vol 113, 88 (2023)

  7. The classical limit and spontaneous symmetry breaking in algebraic quantum theory
    - Expositiones Mathematicae Vol 40, Iss. 3 (2022)

  8. The classical limit of Schrödinger operators in the framework of Berezin quantization and spontaneous symmetry breaking as an emergent phenomenon
    (with V. Moretti) - International Journal of Geometric Methods Vol. 19, No. 01, 2250003 (2021)

  9. Injective tensor products in strict deformation quantization
    (with S. Murro) - Mathematical Physics, Analysis and Geometry Vol. 25, No. 2 (2022)

  10. The classical limit of mean-field quantum spin systems
    - Journal of Mathematical Physics Vol. 61, 121901 (2020)

  11. Bulk-boundary asymptotic equivalence of two strict deformation quantizations
    (with V. Moretti)- Letters in Mathematical Physics Vol. 110, Iss. 11 (2020)

  12. Strict deformation quantization of the state space of Mk(C) with applications to the Curie–Weiss model
    (with K. Landsman and V. Moretti) - Reviews in Mathematical Physics Vol. 32, No. 10, 2050031 (2020)

  13. Quantum spin systems versus Schroedinger operators: A case study in spontaneous symmetry breaking
    (with G. Groenenboom, R. Reuvers and K. Landsman) - SciPost Physics Vol. 8, Iss. 2 (2020)

Preprints

  1. Coupling of the continuum and semiclassical limit. Part I: convergence of eigenvalues
    (with M. Keller and L. Pettinari)

  2. Subcriticality at High Temperatures in Spin Lattice Systems
    (with N. Drago and L. Pettinari)

  3. Lieb-Robinson bounds in classical oscillating lattice systems
    (with I. Koot)

  4. Global observables in statistical mechanics

  5. GLT hidden structures in mean-field quantum spin systems
    (with M. Faisal Khan and S. Serra-Capizzano)

  6. Large deviations in mean-field quantum spin systems
    (with M. Keller)

Grants

Contact Information

Email:
chris.ven[@]fau.de
Address:
Department of Mathematics
Cauerstraße 11
91058 Erlangen
Germany