Daniel Gromada

News

• [15 Jan 2024] I spoke on the seminar Geometric Methods in Mathematics in Dresden

Teaching

Current semester

Differential Equations and Numerical Methods (CS)

Earlier

Discrete Mathematics and Graphs 2022/23, 2023/24

Differential Equations and Numerical Methods (CS) 2020/21, 2021/22

Linear Algebra (CS) 2021/22, 2022/23

Research

Useful tools

• Macro package for typesetting partitions github.com/gromadan/partmac
• Some code in C++ and Singular for computing with partitions github.com/gromadan/partcat
• CMQG Wiki – encyclopedia of compact matrix quantum groups

Current projects

• Cayley graphs of finite quantum groups

Articles

See also my Google Scholar profile.

• Peer-reviewed

○Preprints

• G., Quantum association schemes. arXiv:2404.06157, 33 pages (2024)
• G., Quantum symmetries of Hadamard matrices. Accepted in Trans Am Math Soc. arXiv:2210.02047, 36 p. (2022–24)
• G., Some examples of quantum graphs, Lett Math Phys 112, 121 (2022)
• G., Presentations of projective quantum groups, Comptes Rendus Math 360, 899–907 (2022)
• G., Quantum symmetries of Cayley graphs of abelian groups, Glasgow Math J, 65(3), 655--686 (2023)
• G., Free quantum analogue of Coxeter group D₄, J Algebra 604, 577–613 (2022)
• G., Group-theoretical graph categories, J Algebr Comb 55, 591–627 (2022)
• G., Gluing compact matrix quantum groups, Algebras Represent Th 25, pp. 53–88 (2022)
• G., Weber M., New products and Z₂-extensions of compact matrix quantum groups, Ann I Fourier 72(1), 387–434 (2022)
• G., Weber M., Generating linear categories of partitions Kyoto J Math 62(4) 865–909 (2022)
• G., Weber M., Intertwiner spaces of quantum group subrepresentations, Comm Math Phys 376, 81–115 (2020)
• G., Classification of Globally Colorized Categories of Partitions, Inf Dim Anal Qu, 21(04), 1850029 (2018)
• G., Pošta S., On classification of Lie algebra realizations, arXiv:1703.00808 [math-ph,math.DG, math.RT], 20 pages (2017).
• G., Pošta S., Representations of Askey–Wilson algebra, arXiv:1702.08237 [math.RT,math.QA], 19 pages (2017).
• G., Pošta S., Automorphisms of algebras and orthogonal polynomials, Acta Polytech, 54(6), 394--397 (2014)

Theses

• PhD Thesis
  Compact matrix quantum groups and their representation categories
  Saarland University, Saarbrücken (2020). Supervised by Prof. Moritz Weber.
• Master's Thesis
  Classification of realizations of low-dimensional Lie algebras
  Czech Technical University, Prague (2017). Supervised by Doc. Severin Pošta.
• Bachelor's Thesis
  Ortogonální polynomy a Askeyova–Wilsonova algebra
  Czech Technical University, Prague (2015). Supervised by Doc. Severin Pošta.

Conferences, Schools, Seminars ...

2024

• 19 Mar: Non-local games seminar, Copenhagen, Denmark (online)
  Talk: Quantum symmetries of quantum channels
• 15 Jan: Geometric Methods in Mathematics, Dresden, Germany
  Talk: Quantum symmetries and diagrammatic categories

2023

• 9–11 Oct: German-Polish Workshop on Quantum groups, graphs and symmetries, Warsaw, Poland
  Talk: Quantum symmetries and diagrammatic categories
• 25 Sep: Virtual Algebraic Graph Theory Seminar, Waterloo, Canada
  Talk: Quantum symmetries of Hadamard matrices
• 11–15 Sep:Quantum Groups and Noncommutative Geometry in Prague, Czechia
  Talk: Quantum symmetries of things
• 30 Jan: Combinatorics seminar at U. Winsconsin–Madison, USA, on-line
  Talk: Quantum symmetries of graphs

2022

• 15–17 Nov: Mini workshop on quantum groups, graphs and symmetries via representation theory
  Talk: Quantum symmetries of Hadamard matrices
• 9 Sep: Polish-German seminar on quantum groups, graphs and symmetries via representation theory, on-line
  Talk: Constructing simple and non-simple quantum graphs
• 15–19 August: Masterclass The mathematics of quantum entanglement via nonlocal games, Copenhagen, Denmark
  Talk: Quantum isomorphisms of graphs and quantum groups
• 24–28 May: Summer school Topological Quantum Groups, C*-Tensor Categories, and Subfactors, Waterloo, Canada
  Short talk: Quantum symmetries and deformations of Cayley graphs of abelian groups
• 31 Jan – 4 Feb: Visiting Moritz Weber at Saarland University, Saarbrücken, Germany
  Seminar talk: New examples of quantum graphs

2021

• 30 Nov: South Atlantic Non-Commutative Seminar, Buenos Aires, Argentina, on-line
  Talk: Some examples of quantum graphs
• 5 Jul: Visiting István Heckenberger at the Philipps University of Marburg, Germany
  Seminar talk: Quantum symmetries of Cayley graphs of abelian groups
• 6 Apr: Seminar of the Noncommutative Geometry and Topology Group, Prague, Czechia, on-line
  Talk: Diagrammatic categories and free quantum D₄⁺.

earlier

2020

• 22–24 Sep: Fourth annual conference of the collaborative research center SFB-TRR 195, on-line

2019

• 14–25 Oct: Visiting Adam Skalski at IMPAN, Warsaw, Poland
  Seminar talk: Z₂-extensions of compact matrix quantum groups at
  Seminar Operator algebras and quantum groups at Faculty of Physics, University of Warsaw and
  Noncommutative Geometry Seminar at Institute of Mathematics, Polish Academy of Sciences
• 9–13 Sep: Third annual meeting of the collaborative research center SFB-TRR 195, Saarbrücken, Germany
• 2–6 Sep: Around Moduli Spaces Saarbrücken, Germany
• 29 Jul – 9 Aug: Quantum groups and their analysis Oslo, Norway
  Short talk: Interpolating products of quantum groups
• 29 Apr – 3 May: Subfactors and Quantum Groups: a combinatorial approach to some problems in Operator Algebras Copenhagen, Denmark
• 21–22 Mar: Cohomology of Compact Quantum Groups and Related Topics, Besançon, France
• 18–21 Feb: Retreat SFB-TRR 195, Bad Münster am Stein, Germany
• 27 Jan – 2 Feb: Winter school of mathematical physics, Janské Lázně, Czechia
  Talk: Why should Alice and Bob study quantum groups
• 21–25 Jan: Aspects of higher representation theory: Quantum groups and categorification, Brussels, Belgium
  Short talk: Partition categories and quantum groups

2018

• 11 Dec: IRTG Seminar of SFB TRR 195, Saarbrücken, Germany
  Seminar talk: Computational aspects of partition categories
• 19–23 Nov: Visiting Gerhard Hiß at RWTH Aachen, Germany
  Seminar talk: Computational aspects of partition categories
• 8–12 Oct: Cohomology of quantum groups and quantum automorphism groups of finite graphs, Saarbrücken, Germany
  Talk: Intertwiner spaces of quantum group subrepresentations
• 24–28 Sep: Second annual meeting of the collaborative research center SFB-TRR 195, Tübingen, Germany
• 10–13 Sep: Block seminar on Game Theory, Dagstuhl, Germany
  Talk: Bimatrix games and noncooperative games
• 11–15 Jun: Quantum homogeneous spaces, Edinburgh, United Kingdom
• 6–12 May: Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information, Oberwolfach, Germany
• 12–14 Mar: Block seminar on Combinatorial Commutative Algebra, Bingen am Rhein, Germany
  Talk: Introduction to homological algebra and graded algebras
• 1 Mar: MAFIA Seminar FNSPE CTU, Prague, Czechia
  Seminar talk: Easy compact matrix quantum groups
• 22–26 Jan: Workshop Tensor categories, Hopf algebras and quantum groups, Marburg, Germany

2017

• 25–28 Sep: First annual meeting of the collaborative research center SFB-TRR 195, Aachen, Germany
  Talk: Classifying categories of words
• 4–8 Sep: Mathematical Aspects of Quantum Information, Cargèse, France
• 22–28 Jan: Winter school of mathematical physics, Janské Lázně, Czechia
  Talk: Classification of Lie algebra realizations

2016

• 4–9 Jul: V School of Geometry and Physics, Białowieża, Poland
• 26 Jun – 7 Jul: XXXV Workshop on Geometric Methods in Physics, Białowieża, Poland
  Poster: Construction of Lie algebra realizations
• 12–17 Jun: Group Analysis of Differential Equations and Integrable Systems, Larnaca, Cyprus
  Talk: Orthogonal polynomials and Askey–Wilson algebra
• 23–24 May: Combinatoris on words and mathematical physics, Prague, Czechia
  Talk: Construction of Lie algebra realizations
• 24–30 Jan: Winter school of mathematical physics, Janské Lázně, Czechia
  Talk: Construction of realizations of Lie algebras

2015

• 17–22 Aug: Methods of algebra and functional analysis in applications, Telč, Czechia
  Talk: Algebras and orthogonal polynomials

2014

• 18–24 May: Combinatorics on Words and Mathematical Physics, Kruh u Jilemnice, Czechia

2013

• 29 Jul – 3 Aug: International School on Integrable Systems and Quantum Symmetry, Dubna, Russia