Homepage of Christiaan J. F. van de Ven

I am a mathematical physicist interested in operator algebras, semi-classical analysis and their applications to statistical mechanics. Moreover, nonlinear dynamical systems and their various applications also pique my interest. I am currently an Alexander von Humboldt Postdoctoral Research Fellow working at the Department of Mathematics of the University of Würzburg in the Mathematical Physics group of Prof. Dr. Stefan Waldmann.

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’ .

More information about me can be found in my curriculum vitae .

Research interests


Mathematics
• Functional analysis  
• Operator algebras  
• (Strict / C*-algebraic) deformation quantization  
• Measure theory  
• Dynamical systems
Physics and applied mathematics
• Quantum many-body particle systems, quantum & classical spin systems, Schrödinger operators  
• Spontaneous symmetry breaking, phase transitions, equilibrium states, Gibbs measures, Lieb-Robinson bounds  
• Asymptotic emergence, classical limit, thermodynamic limit  
• Large deviations, entropy  
• Chaos, neural field models and dynamics  

Publications

  1. Emergent phenomena in Nature: a paradox with Theory?
    Accepted for publication in Foundations of Physics

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

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

  4. 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)

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

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

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

  8. 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)

  9. 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. Strict deformation quantization and local spin interactions
    (with N. Drago)

  2. KMS states and their classical limit

Grants

Selected talks, conferences, schools and visits

Contact Information

Address:
Lehrstuhl für Mathematik X (Mathematische Physik)
Campus Hubland Nord
Emil-Fischer-Straße 31
97074 Würzburg, Germany

Building 31 (Physik Ost), Room 00.001

Email:
christiaan.vandeven [at] mathematik.uni-wuerzburg.de
Phone:
+49 931 31-80173