### MARTIJN CASPERS THESIS

Ruben solves this problem by doubling the classical phase space, which makes the classical incomplete motions complete again. In his thesis Ruben Stienstra looks at the problem that in Classical mechanics one can find solutions that are only determined for a finite time interval while in quantum mechanics all solutions are always defined for all times. Operator spaces and quantum information theory. Quantum Markov semi-groups, gradients and strong solidity. Banach Center Publications , Quantum gradient estimation and its applications to quantum reinforcement learning.

His text is punctuated by enlightening comments and good examples. Lecture notes, Bedlewo Free transportation and q-Gaussians. To appear in Bulletin of the London Mathematical Society. Approximation properties for quantum groups and harmonic analysis on quantum groups. Gradient forms and strong solidity of free quantum groups.

Gradient forms and strong solidity of free quantum groups July Awarded with the ASML thesis prize.

The jury was impressed by the originality of the work and the techniques developed to tackle the problem. I preprint final version.

See Michael Mueger ‘s website for previous material. Noncommutative De Leeuw theorems Sept 25, Vector-valued Siegel modular forms of genus 2 explicit constructions of Siegel modular forms using differential operators of Rankin-Cohen type written under the supervision of Gerard van der Geer UvA.

Quantum groups and non-commutative Lp-spaces.

Joost showed deep insight in a difficult subject. Together with Dorothee Frey.

# Martijn Caspers

The author first explains the theorem of Bondal and Orlov on the reconstruction of an algebraic variety from its bounded derived category of coherent mqrtijn.

June 14th-June 20th, Workshop Quantum Groups and Operator Algebras organizer.

Lecture notes, Bedlewo Seminar on Mathematical Physics. See mastermath and here for additional exercises.

The Haagerup property for arbitrary von Neumann algebras May Seminar at QuTechDelft. May 6- 10, Research visit at IPM.

University of New South Wales, Sydney.

## Martijn Caspers

Operator algebrasmaster course, spring semester. SIGMA 7, 39 pages. The jury report reads as follows: The Haagerup property for arbitrary von Neumann algebras and quantum Dirichlet forms December 15thth, Noncommutative De Leeuw theorems April mzrtijn, Oberwolfach meeting on Noncommutative Geometry. Theses Gerrit Vos, master thesis expected Approximation properties for quantum groups and harmonic analysis on quantum groups.

He reaches new ground very quickly.

# Geometry and Quantum Theory (GQT) | Martijn Caspers

A conjecture on the complete boundedness of Schur multipliers. Under supervision of Klaas Landsman. Operator Theory 73no. Functional analysismaster course, fall semester. Operator spaces, harmonic analysis martiijn quantum probability. Foundations of Physics 39No.