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Department of Mathematics

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  3. Prof. Dr. Gandalf Lechner
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In page navigation: Mathematical Physics and Operator Algebras
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  • Prof. Dr. Gandalf Lechner
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News

News

  • 25 March: Ian has a new paper out in which he analyzes the relative positions of half-sided modular inclusions of standard subspaces in a common environment space, a situation commonly encountered in quantum field theory.
  • From  1 April, Christiaan van de Ven will join us as a PostDoc – Welcome, Chris!
  • 11-18 March 2025: In this week, Yasu Kawahigashi (Tokyo) will visit us.
  • 3 February 2025: In the summer term, I will offer a lecture on algebraic quantum field theory and a seminar on Tomita-Takesaki modular theory for students who want to learn more about operator algebras and mathematical physics. See this website for current and upcoming teaching.
  • 31 January 2025: Today Justin Gassner successfully defended his MSc thesis “A Local Modular Quantum Energy Inequality for the Scalar Free Field”.Congratulations! 🥳
  • 13-17 January 2025: This week Ian will speak at RSME’s 7th Congress of Young Researchers in Bilbao and Ricardo and I will go to Quantum groups, tensor categories and quantum field theory in Oslo.
  • 7-9 November 2024: The 49th edition of the Local Quantum Physics Workshop series takes place in Erlangen. Its schedule and the link to registration can be found here.
  • 6 November 2024: Today Ivan Romualdo de Oliveira defended his PhD thesis “On the Localizability Problem for Relativistic Quantum Systems” in São Paulo. Congratulations! 🥳
  • 30 October: Today Benedikt Wenzel successfully defended his BSc thesis “Spectral Analysis of Transparent Potentials” in Physics. Congratulations! 🥳
  • 02 October: Today Tasarla Deadman successfully defended her PhD thesis “Unitary R-Matrices: Representations of Deformations of the Braid Group Arising From The BMW Algebra And Racks”. Congratulations! 🥳
  • 01 October: From today Ricardo Correa da Silva works as a substitute professor in our department. He will give independent lectures and seminars in the upcoming terms.
  • 30 September – 4 October: I will attend the workshop Operator Algebras in High Energy Physics at Nordita, Stockholm.
  • 16 September 2024: Today Johannes Große successfully defended his MSc thesis “KMS States on Crossed Products by Finite Groups — Twisted KMS Functionals and Operator-Valued States”. Congratulations! 🥳
  • 16 September 2024: In the winter term, we will offer a lecture on operator algebras and operator theory (“functional analysis 2”) that will introduce these subjects to interested students familiar with a typical first course in functional analysis. There are also still some places available in the seminar on functional analysis (Querschnittsmodulseminar). See this website for current and upcoming teaching.
  • 2 August 2024: The final version of our crossing symmetry paper is available at https://arxiv.org/abs/2402.15763. In this paper we begin a systematic study of crossing symmetry from the point of view of modular theory. It will be published in a memorial volume of Reviews in Mathematical Physics dedicated to the memory of Huzihiro Araki.
  • 24-26 July 2024: I will be attending the workshop Exactly Solvable Models at the ESI Vienna held in honour of Harald Grosse.
  • 15-26 July 2024: These two weeks Luca Giorgetti from the University Tor Vergata in Rome will visit us and give a talk on Crossing Symmetry and Fourier Transforms on July 22.
  • 1-6 July 2024: This week Fernando Lledó from the University Carlos III in Madrid will visit us and give a talk on finite-dimensional approximations in C*-algebras on Thursday.
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Department of Mathematics

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91058 Erlangen
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