Homepage of Christiaan J. F. van de Ven

I am a mathematical physicist with a focus on operator algebras and their applications to statistical mechanics, equilibrium thermodynamics, and the foundations of quantum theories. Additionally, the theory of large deviations in quantum statistical mechanics also pique my interests.

Currently, 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 Mathematical Physics group of Prof. Dr. Stefan Waldmann.

I was recently awarded the Marie Skłodowska-Curie Actions Fellowship for postdoctoral research.

Research interests


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

Publications

  1. Classical and quantum KMS states on spin lattice systems
    (with N. Drago and L. Pettinari)
    2. - Accepted for publication in Communications in Mathematical Physics (2025)

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

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

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

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

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

  7. 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)

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

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

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

  11. 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)

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

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

  3. Classical dynamics of infinite particle systems in an operator algebraic framework
    (with T. van Nuland)

Grants

Selected talks, conferences and schools

Contact Information

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