
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 .
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 |
Physics and applied mathematics
• Quantum and classical many-body particle systems, quantum & classical spin systems, Schrödinger operators
• Spontaneous symmetry breaking, phase transitions, equilibrium states, Gibbs measures • Asymptotic emergence, classical limit, thermodynamic limit • Large deviations, entropy |
Publications
-
Emergent phenomena in Nature: a paradox with Theory?
- Foundations of Physics Vol 53, Iss. 5 (2023) -
DLR-KMS correspondence on lattice spin systems
(with N. Drago) - Letters in Mathematical Physics Vol 113, 88 (2023) -
The classical limit and spontaneous symmetry breaking in algebraic quantum theory
- Expositiones Mathematicae Vol 40, Iss. 3 (2022) -
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) -
Injective tensor products in strict deformation quantization
(with S. Murro) - Mathematical Physics, Analysis and Geometry Vol. 25, No. 2 (2022) -
The classical limit of mean-field quantum spin systems
- Journal of Mathematical Physics Vol. 61, 121901 (2020) -
Bulk-boundary asymptotic equivalence of two strict deformation quantizations
(with V. Moretti)- Letters in Mathematical Physics Vol. 110, Iss. 11 (2020) -
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) -
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
-
Classical dynamics of infinite particle systems in an operator algebraic
framework
(with T. van Nuland) -
Strict deformation quantization and local spin interactions
(with N. Drago) Accepted for publication in Communication in Mathematical Physics -
Gibbs states and their classical limit
Accepted for publication in Reviews in Mathematical Physics - Alexander von Humboldt Fellowship for postdoctoral researchers (2021)
- PhD Scholarship, Marie Skłodowska-Curie Fellowship awarded by the Istituto Nazionale di Alta Matematica (INdAM), grant number: 713485 (2018)
- Assegno di ricerca, Scholarship for PhD in Mathematics at the University of Trento, cofunded by the national project Dipartimenti di Eccellenza (2018)
- 24/07/2023 - 28/07/2023, Invited speaker at conference Interfaces Between Quantum and Classical Statistical Mechanics, São Paulo
- 26/06/2023 - 30/06/2023, Hausdorff School on Recent Advances in Quantum and Statistical Mechanics, Bonn
- 25/04/2023 - 26/04/2023, visit to Prof. Dr. Warzel, Technische Universität München, München
- 13/03/2023 - 17/03/2023, conference on Quantum many body systems and quantum information, Madrid
- 05/12/2022 - 09/12/2022, visit to Dr. Naaijkens, School of Mathematics, Cardiff
- 21/11/2022 - 23/11/2022, visit to Prof. Dr. Velenik, L'Université de Genève, Genève
- 13/09/2022, contributed speaker at Math in the Mill Workshop, Sondheim vor der Rhön
- 25/06/2022, contributed speaker at LQP46 Workshop, Erlangen
- 23/03/2022, contributed speaker at online conference DPG Spring Meeting 'Heidelberg'
- 02/08/2021 – 06/08/2021, summer School GEOQUANT 2021- ‘Geometry & Quantization - Deformation quantization and convergence’, Freiburg
- 22/03/2021, contributed speaker at online conference Gran Sasso Quantum Meetings @GSSI: From Equilibirum Phenomena Towards Open Quantum Systems
- 17/02/2021, QLunch webinar at University of Kopenhagen
- 19/06/2020-22/06/2020, online Summer School Applications of Bogoliubov Theory, Mathematical Physics of Quantum Many-Body Systems
- 03/11/2020, invited speaker in group of Global Non-Nommutative geometry Seminar, Youtube slides
- 11/02/2020–14/02/2020, visit at Scuola Normale Superiore di Pisa on invitation by Prof. Dr. Correggi, Pisa
- 08/11/2019, invited speaker at conference First Math Young Researchers Meeting, Genoa
- 24/07/2019, contributed speaker at conference Trieste Quantum Junior Days, Trieste
Grants
Selected talks, conferences, schools and visits