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Department of Mathematics

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  3. Prof. Dr. Gandalf Lechner
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  • Prof. Dr. Gandalf Lechner
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News

News

  • 19 June: Ricardo and I have a new paper about inclusions of standard subspaces. Such spaces appear naturally in modular theory and its applications to QFT, and their inclusions have many connections to inclusions of von Neumann algebras (subfactors, split inclusions, … ).
  • 5-6 June: Ian and me will go the 10th meeting of the AQFTUK network and speak about half-sided modular inclusions and localization operators, respectively.
  • 26-29 May: This week Sergiy Neshveyev (Oslo) will visit us and give the colloquium talk.
  • 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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