Analysis & Quantum
The section's research covers a wide range of fields related to analysis and quantum information theory, as well as history of modern mathematics.
Visit the QMATH Center website for more information on mathematical physical and quantum information theory and the Quantum for Life center for information on combining research in quantum physics, mathematics, chemistry and data science.
Our group carries out research in functional analysis, operator algebras, C*-algebras, von Neumann algebras, Banach algebras, symbolic dynamical systems and in descriptive set theory.
Faculty:
- Søren Eilers
- Magdalena Elena Musat
- Damian Osajda
- Thomas Vils Pedersen
- Mikael Rørdam
- Asger Dag Törnquist
- Associate member Ryszard Nest
- Associate professor emeritus Erik Christensen
- Professor emeritus Niels Grønbæk
- Affiliate professor George Elliot
The research focuses on studying groups acting on non-positively curved spaces, including studying classical families of groups and spaces and constructing new examples.
Faculty:
Topics include representation theory of Lie groups, symmetric spaces, complex analytic methods in the theory of orthogonal polynomials and special functions, and holomorphic dynamical systems.
Faculty:
- Henrik Laurberg Pedersen (Complex methods, orthogonal polynomials, special functions)
- Carsten Lunde Petersen (Holomorphic dynamical systems)
- Henrik Schlichtkrull (Lie groups, symmetric spaces)
- Professor emeritus Christian Berg (Orthogonal polynomials)
- Associate professor emeritus Hans Plesner Jakobsen
The research in the history of mathematics has emphasis on the history of mathematical programming, convexity theory, impossibility results, analysis, geometry, and the interplay with didactics.
Faculty:
- Tinne Hoff Kjeldsen
- Professor emeritus Jesper Lützen
In mathematical physics the research focuses on rigorous analysis of the structure of matter and quantum gravity, and
statistical mechanics.
See Centre for the Mathematics of Quantum Theory (QMATH).
Faculty:
- Matthias Christandl
- Professor emeritus Bergfinnur Durhuus
- Søren Fournais
- Torben Krüger
- Jan Philip Solovej
- Albert Werner
Spectral theory of partial differential equations.
Faculty:
- Jan Philip Solovej
- Søren Fournais
- Associate member Niels Martin Møller
- Professor emeritus Gerd Grubb
The research has particular focus is on algorithmic and cryptographic aspects and quantum entanglement, and in general understanding the notion of information on the quantum level.
See Centre for the Mathematics of Quantum Theory (QMATH) and
Quantum for Life - Novo Nordisk Foundation Research Center
Faculty:
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More information on the individual researchers homepages
The members of the section teach a wide range of courses. For more details, see our study programmes.
Our regular Analysis Seminar is organized by Henrik Schlichtkrull.
UCPH Quantum Hub is an initiative with participation of scientist from Niels Bohr Institute, Department of Computer Science, Department of Mathematichal Sciences, Department of Chemistry and Department of Biology.
Members from the section are associate partners in The DFG transregional Collaborative Research Center, Mathematics of Many-Body Quantum Systems and Their Collective Phenomena (TRR352) 2023-2026
The section has close connections to the
Core faculty
- Matthias Christandl
- Søren Eilers
- Søren Fournais
- Tinne Hoff Kjeldsen
- Daniel Malz
- Laura Mancinska
- Magdalena Elena Musat
- Damian Osajda
- Henrik Laurberg Pedersen
- Thomas Vils Pedersen
- Carsten Lunde Petersen
- Mikael Rørdam
- Henrik Schlichtkrull
- Jan Philip Solovej
- Asger Dag Törnquist
- Albert H. Werner
Associate members