Daniel Gromada
News
- [17–21 Feb 2025] I am coorganizing a Workshop on Quantum Graphs in Saarbrücken, Germany
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, 2023/24
Linear Algebra (CS) 2021/22, 2022/23, 2024/25
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
Articles
See also my Google Scholar profile.| • Peer-reviewed | ○Preprints |
- Brannan M., G., Matsuda J., Skalski A., Wasilewski M. A quantum Frucht's theorem and quantum automorphisms of quantum Cayley graphs. arXiv:2503.11149, 32 pages (2025)
- G. Quantum association schemes. arXiv:2404.06157, 33 pages (2024)
- G. Quantum symmetries of Hadamard matrices, Trans Am Math Soc 377(9), 6341–6377 (2024)
- 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.
Events organized
- 17–21 Feb 2025: Workshop on Quantum Graphs, Saarbrücken, Germany
Conferences, Schools, Seminars ...
2025
- 20--24 Jan: Visiting Michael Brannan at University of Waterloo, Canada
Colloquium talk: A brief introduction to quantum symmetries (at Pure Math colloquium)
Seminar talk: Quantum association schemes (at Analysis seminar)
2024
- 10 Dec: Algebra colloquium, Charles University, Prague
Talk: A brief introduction to quantum symmetries - 30 Oct: Quantum Information and Computing Seminar at U. Delaware, USA, on-line
Talk: Quantum symmetries of Hadamard matrices - 14 Oct: Combinatorics seminar at U. Winsconsin–Madison, USA, on-line
Talk: Quantum association schemes - 17 Jun: QGS: Quantum Groups Seminar (online)
Talk: Cayley graphs: Symmetries, quantizations, duality - 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
earlier
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+.
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