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Department of Mathematics

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Department of Mathematics

Friedrich-Alexander-University

In page navigation: Mathematical Physics and Operator Algebras
  • Prof. Dr. Gandalf Lechner
    • News
    • Team
    • Research
    • Seminars, Workshops, Conferences
    • Teaching
    • Publications
    • BSc, MSc and PhD projects
    • Projects and Prizes
  • Prof. Dr. Hermann Schulz-Baldes
  • Prof. Dr. Andreas Knauf (retired)
  • Publications and Projects
  • Seminar Mathematical Physics

BSc, MSc and PhD projects

Bachelor, Master and PhD projects/theses

If you are interested in a topic from functional analysis, mathematical quantum physics, operator algebras or braid groups, then you can write your BSc or MSc thesis in our group. Please get in touch in order to arrange a topic and supervision. Physics students with an interest in mathematics and the necessary mathematical background are also welcome.

Some of the projects below contain links to articles / reports that convey an idea of the kind of research we are doing.

Ongoing projects

PhD students

Name TopicSupervision
Ian Koot Entropies in AQFT and modular theoryGandalf Lechner
Johannes Große Algebraic quantum field theoryGandalf Lechner

Master students

Name TopicSupervision
Andreas Rothemund  Inclusions of standard subspacesGandalf Lechner
Benedikt Wenzel  The Bisognano-Wichmann propertyGandalf Lechner

Bachelor students

Name TopicSupervision
Johannes Liegsalz Subproduct SystemsGandalf Lechner
Elias Hammer p-compactnessRicardo Correa da Silva

Completed projects

Some of the completed projects listed below are linked to pdf files (theses, project reports or corresponding articles).

PhD

NameDateTitle/TopicSupervision
Ivan Romualdo de Oliveira11/24Localisation observables in quantum physicsJoao Barata (main) and Gandalf Lechner
Tasarla Deadman10/24Unitary R-Matrices: Representations of Deformations of the Braid Group Arising from the BMW Algebra and Racks (extended abstract)Gandalf Lechner and Ulrich Pennig
Charley Scotford05/23Scaling Limits of Integrable Quantum Field Theories and Non-Local Chiral Models (PhD at Cardiff University)Gandalf Lechner
Sabina Alazzawi11/14Deformations of Quantum Field Theories and the Construction of Interacting Models (PhD at Vienna University)Gandalf Lechner and Jakob Yngvason
Thomas Ludwig07/13Wick Rotation for Quantum Field Theories on Degenerate Moyal Space (PhD at Leipzig University)Gandalf Lechner and Rainer Verch
Eric Morfa-Morales02/12Deformations of Quantum Field Theories on Curved Spacetimes (PhD at Vienna University)Gandalf Lechner and Jakob Yngvason

Master and Diploma

NameDateTitle/TopicSupervision
Justin Gassner02/25Energy densities in algebraic QFTGandalf Lechner
Johannes Große09/24KMS States on Crossed Products by Finite GroupsRicardo Correa da Silva and Gandalf Lechner
Timothy Weaving04/20Quantum Information (MSc at Cardiff)Gandalf Lechner
Nathaniel Fox07/17Transparent potentials for quantum scattering (MSc at Cardiff)Gandalf Lechner
Charley Scotford05/17Supersymmetric quantum mechanics (MSc at Cardiff)Gandalf Lechner
Peter Sutherns04/16The Radon TransformGandalf Lechner
Giovanni Cattarina07/16Link Invariants, Braid Groups and Classification of Enhanced Yang-Baxter Operators in d=2 (Laurea at Bologna)Gandalf Lechner
Albert Huber04/12Thermal Equilibrium States in Deformed Quantum Field Theory (Diploma at Vienna)Gandalf Lechner
Christian Schützenhofer12/11Multi-particle S-matrix models in 1+1 dimensions and associated QFTs (Diploma at Vienna)Gandalf Lechner

Bachelor

NameDateTitle/TopicSupervision
Noah Corona López12/25Complexity of one parameter groupsGandalf Lechner
Maya Klarmann10/25Tensor Integrals of Operator-Valued FunctionsRicardo Correa da Silva
Andreas Rothemund12/24The Jones index and R-matricesGandalf Lechner
Moritz Reichert11/24Bi-free probability and modular theoryGandalf Lechner
Leon Bernáth10/24Standard subspaces and crossing symmetryRicardo Correa da Silva und Gandalf Lechner
Benedikt Wenzel09/24Spectral analysis of transparent potentialsRicardo Correa da Silva, Gandalf Lechner, and Davide Lonigro
Maximilian Beetz04/24Shors AlgorithmusGandalf Lechner
Nabil Iftekhar02/24Approximationseigenschaften von OrthonormalbasenGandalf Lechner
Jakob Roßkopf08/23Enhanced Yang-Baxter OperatorsGandalf Lechner
Mila Fischer07/23Darstellungen von Hecke-AlgebrenGandalf Lechner

Other completed student / internship projects

NameDateTitle/TopicSupervision
Johannes Große (research project student)02/24KMS states on Z2-crossed productsRicardo Correa da Silva und Gandalf Lechner
Ludwig Peschik (research project student)08/23Crossing Symmetry and the String Fourier TransformRicardo Correa da Silva und Gandalf Lechner
Owen Tanner (Cardiff CUROP student)08/19Von Neumann AlgebrasGandalf Lechner and Ulrich Pennig
Vidal Agniel (project student)08/16Weighted composition operatorsGandalf Lechner
Friedrich-Alexander-Universität
Department of Mathematics

Cauerstraße 11
91058 Erlangen
Germany
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