Ing. Daniel Gromada, Dr. rer. nat.
Assistant Professor
22435 5121
JP:B-520a
News
- Starting February 2023, I will be on a parental leave. Feel free to contact me via e-mail, but I appologize for not responding very quickly.
- [30 Jan 2023] I will speak on Combinatorics seminar at U. Winsconsin–Madison, USA, on-line
- [15 Nov 2022] I had a talk on the Mini workshop on quantum groups, graphs and symmetries via representation theory in Saarbrücken
- [5 Oct 2022] New article on arXiv.
- [9 Sep 2022] I had a talk on the Polish-German seminar on quantum groups, graphs and symmetries via representation theory (online)
- [19 Aug 2022] I spoke on a masterclass The mathematics of quantum entanglement via nonlocal games in Copenhagen.
Teaching
Current semester
Discrete Mathematics and Graphs
Earlier
Differential Equations and Numerical Methods (CS) 2020/21, 2021/22
Linear Algebra (CS) 2021/22
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 |
- Gromada, D.
Quantum symmetries of Hadamard matrices
arXiv:2210.02047 [math.QA, math-ph, math.CT], 32 pages (2022) - Gromada, D.
Some examples of quantum graphs
Letters in Mathematical Physics Vol. 112, Article No. 121 (2022)
arXiv:2109.13618 [math.QA,math-ph], 40 pages (2021). - Gromada, D.
Presentations of projective quantum groups
Comptes Rendus Mathématique Vol. 360, pp. 899–907 (2022)
arXiv:2109.04071 [math.QA], 10 pages (2021). - Gromada, D.
Quantum symmetries of Cayley graphs of abelian groups
Accepted in Glasgow Mathematical Journal
arXiv:2106.08787 [math.QA], 35 pages (2021). - Gromada, D.
Free quantum analogue of Coxeter group D4
Journal of Algebra Vol. 604, pp. 577–613 (2022)
arXiv:2011.13242 [math.QA, math.CO], 34 pages (2020). - Gromada, D.
Group-theoretical graph categories
Journal of Algebraic Combinatorics Vol. 55, pp. 591–627 (2022)
arXiv:2009.06998 [math.QA, math.CO], 30 pages (2020–21). - Gromada, D.
Gluing compact matrix quantum groups
Algebras and Representation Theory Vol. 25, pp. 53–88 (2022)
arXiv:2006.13656 [math.QA, math.OA], 36 pages (2020). - Gromada, D.; Weber, Moritz
New products and Z2-extensions of compact matrix quantum groups
Annales de l'Institut Fourier Vol. 72, No. 1, pp. 387–434 (2022)
arXiv:1907.08462 [math.QA, math.OA], 40 pages (2019–20). - Gromada, D.; Weber, Moritz
Generating linear categories of partitions
Kyoto Journal of Mathematics Vol. 62, No. 4, pp. 865–909 (2022)
arXiv:1904.00166 [math.CT, math.QA], 41 pages (2019–21). - Gromada, D.; Weber, Moritz
Intertwiner spaces of quantum group subrepresentations
Communications in Mathematical Physics Vol. 376, pp. 81–115 (2020)
arXiv:1811.02821 [math.QA, math.OA], 38 pages (2018). - Gromada, D.
Classification of Globally Colorized Categories of Partitions
Infinite Dimensional Analysis, Quantum Probability and Related Topics Vol. 21, No. 04, 1850029 (2018)
arXiv:1805.10800 [math.QA, math.CO], 25 pages (2018). - Gromada, D.; Pošta, Severin
On classification of Lie algebra realizations
arXiv:1703.00808 [math-ph,math.DG, math.RT], 20 pages (2017). - Gromada, D.; Pošta, Severin
Representations of Askey–Wilson algebra
arXiv:1702.08237 [math.RT,math.QA], 19 pages (2017). - Gromada, D.; Pošta, Severin
Automorphisms of algebras and orthogonal polynomials
Acta Polytechnica, Vol. 54, No. 6 (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 ...
2023
- 30 Jan: Combinatorics seminar at U. Winsconsin–Madison, USA, on-line
Talk: Quantum symmetries of Hadamard matrices
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