Disclaimer on open access

I try to publish with journals supporting open access, are cheap or free, are part of a mathematical society (e.g. AMS, EMS, LMS) etc. See below how “successful” I am! However, paywalls still exist, but the arXiv versions of my papers should be all a 0.99 version of the published ones. Click
More importantly, here is a list of open access math journals: Click
Also since 2022ish all of my papers are supporting open access. My open access publication are marked with OA below. Exception: In 2024 I submitted papers to support Ukrainian mathematics indicated by OA.

TeX files and code

The TeX files for the papers are freely available at: https://github.com/dtubbenhauer/My-TeX-files.git
If a paper has code, then the code, with a bit of explanation, is on GitHub (a direct link is on the paper's side): https://github.com/dtubbenhauer
For piecewise linear maps representation theory, you can find JavaScript and Mathematica code that runs in your browser can be found here: Click

My research output

Publication list: available here.

  • Lecture notes
    • OA Daniel Tubbenhauer, Quantum topology without topology, from 2022, updated 2025.
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    • OA Don Taylor and Daniel Tubbenhauer, Magma in a nutshell, from 2023.
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      YouTube video lecture series:
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      Workshop's outcome: a beautiful gift for Don and myself; thank you so much Alex and Bregje!
      Click
  • Papers from 2026
    • Anne Dranowski, Yura Kabkov and Daniel Tubbenhauer, RL unknotter, hard unknots and unknotting number, preprint from 2026.
      Paper's home
    • Daniel W. Collison and Daniel Tubbenhauer, Möbius strip diagram algebras, preprint from 2026.
      Paper's home
  • Papers from 2025
    • Matthias Fresacher, Willow Stewart and Daniel Tubbenhauer, Generalized diagram categories and monoids, and their representations, preprint from 2025.
      Paper's home
    • David He and Daniel Tubbenhauer, Affine diagram categories, algebras and monoids, preprint from 2025.
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    • Jensen O'Sullivan and Daniel Tubbenhauer, Growth problems of quantum groups, preprint from 2025.
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    • Anne Dranowski, Yura Kabkov and Daniel Tubbenhauer, On knot detection via picture recognition, preprint from 2025.
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    • Tuomas Kelomäki, Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz and Victor L. Zhang, On detection probabilities of link invariants, preprint from 2025.
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    • David He and Daniel Tubbenhauer, Tensor powers of representations of (diagram) monoids, preprint from 2025.
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    • Ben Elias, Liam Rogel and Daniel Tubbenhauer, Idempotents, traces, and dimensions in Hecke categories, preprint from 2025.
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    • OA Daniel Tubbenhauer, Quantum topology without topology, eprint from 2025.
      Paper's home
    • Willow Stewart and Daniel Tubbenhauer, Representation gaps of rigid planar diagram monoids, preprint from 2025.
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    • OA Daniel Tubbenhauer and Victor L. Zhang, Big data comparison of quantum invariants, to appear in Journal of Experimental Mathematics, preprint from 2025.
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    • OA Jonathan Gruber and Daniel Tubbenhauer, Growth problems in diagram categories, Bull. Lond. Math. Soc. 57 (2025), no. 11, 3454-3469, preprint from 2025.
      Paper's home
    • OA David He and Daniel Tubbenhauer, Growth problems for representations of finite monoids, North-West. Eur. J. Math. 11 (2025), 103–117, i., preprint from 2025.
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  • Papers from 2024
    • Peter DeBello and Daniel Tubbenhauer, Diagrammatics for dicyclic groups, preprint from 2024.
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    • OA Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, Big data approach to Kazhdan–Lusztig polynomials, Journal of Experimental Mathematics, 2(1), 21-62, preprint from 2024.
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    • OA Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, On Hecke and asymptotic categories for complex reflection groups, to appear in Port. Math., preprint from 2024.
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    • OA Joel Gibson, Daniel Tubbenhauer and Geordie Williamson, Equivariant neural networks and piecewise linear representation theory, Modern algebra. Vol. 1. Representation theory, 157-192, Contemp. Math., 829 (supporting Ukrainian mathematics), preprint from 2024.
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    • OA Kevin Coulembier, Pavel Etingof, Victor Ostrik and Daniel Tubbenhauer, Fractal behavior of tensor powers of the two dimensional space in prime characteristic, Modern algebra. Vol. 1. Representation theory, 85-138, Contemp. Math., 829 (supporting Ukrainian mathematics), preprint from 2024.
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    • OA Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, Asymptotics in infinite monoidal categories, Higher Structures 9(2): 168-197, 2025, preprint from 2024.
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    • OA Elijah Bodish and Daniel Tubbenhauer, Orthogonal webs and semisimplification, Comb. Theory 5 (2025), no. 3, Paper No. 12, 76 pp, preprint from 2024.
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  • Papers from 2023
    • OA Andrew Mathas and Daniel Tubbenhauer, Cellularity of KLR and weighted KLRW algebras via crystals, to appear in Commun. Am. Math. Soc., preprint from 2023.
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    • OA Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, Asymptotics in finite monoidal categories, Proc. Amer. Math. Soc. Ser. B 10 (2023), 398-412, preprint from 2023.
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    • OA Daniel Tubbenhauer, On rank one 2-representations of web categories, Algebr. Comb. Volume 7 (2024) no. 6, pp. 1813-1843, preprint from 2023.
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    • OA Elijah Bodish and Daniel Tubbenhauer, On a symplectic Howe duality, Math. Z. 309 (2025), no. 4, Paper No. 68, preprint from 2023.
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    • OA Kevin Coulembier, Victor Ostrik and Daniel Tubbenhauer, Growth rates of the number of indecomposable summands in tensor powers, Algebr. Represent. Theory 27 (2024), no. 2, 1033-1062, preprint from 2023.
      Paper's home
  • Papers from 2022
    • OA Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, A formula to evaluate type A webs and link polynomials, Ark. Mat. 62 (2024), no. 1, 83-101, preprint from 2022.
      Paper's home
    • OA Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, Verma Howe duality and LKB representations, New York J. Math. 31 (2025), 1507-1542, preprint from 2022.
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    • OA Daniel Tubbenhauer, Sandwich cellularity and a version of cell theory, Rocky Mountain J. Math. 54 (6), 1733-1773, (December 2024), preprint from 2022.
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    • OA Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, Annular webs and Levi subalgebras, J. Comb. Algebra 7 (2023), no. 3/4, pp. 283-326, preprint from 2022.
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    • OA Andrew Mathas and Daniel Tubbenhauer, Cellularity for weighted KLRW algebras of types \(B\), \(A^{(2)}\), \(D^{(2)}\), J. Lond. Math. Soc. (2) 107 (2023), no. 3, 1002-1044, preprint from 2022.
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    • OA Mikhail Khovanov, Maithreya Sitaraman and Daniel Tubbenhauer, Monoidal categories, representation gap and cryptography, Trans. Amer. Math. Soc. Ser. B 11 (2024), 329-395, preprint from 2022.
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  • Papers from 2021
    • Genta Latifi and Daniel Tubbenhauer, Minimal presentations of \(\mathfrak{gl}_n\)-web categories, part of the first author's Ph.D. thesis (unclear why I am on the paper - Genta should get all the credits!) preprint from 2021.
      Paper's home
    • OA Andrew Mathas and Daniel Tubbenhauer, Cellularity and subdivision of KLR and weighted KLRW algebras, Math. Ann. 389, 3043-3122 (2024), preprint from 2021.
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    • OA Louise Sutton, Daniel Tubbenhauer, Paul Wedrich and Jieru Zhu, \(\mathrm{SL}_{2}\) tilting modules in the mixed case, Selecta Math. (N.S.) 29 (2023), no. 3, 39, preprint from 2021.
      Paper's home
    • OA Daniel Tubbenhauer and Pedro Vaz, Handlebody diagram algebras, Rev. Mat. Iberoam. 39 (2023), no. 3, pp. 845-896, preprint from 2021.
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  • Papers from 2020
    • Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz, Daniel Tubbenhauer and Xiaoting Zhang, Finitary birepresentations of finitary bicategories, Forum Math. 33 (2021), no. 5, 1261-1320, preprint from 2020.
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    • Daniel Tubbenhauer and Paul Wedrich, The center of \(\mathrm{SL}_{2}\) tilting modules, Glasg. Math. J. 64 (2022), no. 1, 165-184, preprint from 2020.
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  • Papers from 2019
    • OA David E.V. Rose and Daniel Tubbenhauer, HOMFLYPT homology for links in handlebodies via type \(\mathsf{A}\) Soergel bimodules, Quantum Topol. 12 (2021), no. 2, 373-410, preprint from 2019.
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    • OA Daniel Tubbenhauer and Paul Wedrich, Quivers for \(\mathrm{SL}_{2}\) tilting modules, Represent. Theory 25 (2021), 440-480, preprint from 2019.
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    • Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz, Daniel Tubbenhauer and Xiaoting Zhang, Simple transitive 2-representations of Soergel bimodules for finite Coxeter types, Proc. Lond. Math. Soc. (3) 126 (2023), no. 5, 1585-1655, preprint from 2019.
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  • Papers from 2018
    • Michael Ehrig and Daniel Tubbenhauer, Algebraic properties of zigzag algebras, Comm. Algebra 48 (2020), no.1, 11-36, preprint from 2018.
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    • Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz and Daniel Tubbenhauer, Trihedral Soergel bimodules, Fund. Math. 248 (2020), no. 3, 219-300, preprint from 2018.
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  • Papers from 2017
    • Michael Ehrig and Daniel Tubbenhauer, Relative cellular algebras, Transform. Groups 26 (2021), no. 1, 229-277, preprint from 2017.
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    • Michael Ehrig, Daniel Tubbenhauer and Paul Wedrich, Functoriality of colored link homologies, Proc. Lond. Math. Soc. (3) 117 (2018), no. 5, 996-1040, preprint from 2017.
      Paper's home
    • Antonio Sartori and Daniel Tubbenhauer, Webs and q-Howe dualities in types \(\mathbf{B}\mathbf{C}\mathbf{D}\), Trans. Amer. Math. Soc. 371 (2019), no. 10, 7387-7431, preprint from 2017.
      Paper's home
  • Papers from 2016
    • Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz and Daniel Tubbenhauer, Simple transitive 2-representations via (co)algebra $1$-morphisms, Indiana Univ. Math. J. 68 (2019), no. 1, 1-33, preprint from 2016.
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    • OA Michael Ehrig, Daniel Tubbenhauer and Arik Wilbert, Singular TQFTs, foams and type \(\mathrm{D}\) arc algebras, Doc. Math. 24, 1585-1655 (2019), preprint from 2016.
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    • Marco Mackaay and Daniel Tubbenhauer, Two-color Soergel calculus and simple transitive 2-representations, Canad. J. Math. 71 (2019), no. 6, 1523-1566, preprint from 2016.
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    • Michael Ehrig, Catharina Stroppel and Daniel Tubbenhauer, Generic \(\mathfrak{gl}_{2}\)-foams, web and arc algebras, preprint from 2016.
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  • Papers from 2015
    • Michael Ehrig, Catharina Stroppel and Daniel Tubbenhauer, The Blanchet-Khovanov algebras, Categorification and Higher Representation Theory, 183-226, Contemp. Math., 683, Amer. Math. Soc., Providence, RI, 2017, preprint from 2015.
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    • OA Henning Haahr Andersen, Catharina Stroppel and Daniel Tubbenhauer, Semisimplicity of Hecke and (walled) Brauer algebras, J. Aust. Math. Soc. 103 (2017), no. 1, 1-44, preprint from 2015.
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    • OA Daniel Tubbenhauer, Pedro Vaz and Paul Wedrich, Super q-Howe duality and web categories, Algebr. Geom. Topol. 17-6 (2017), 3703-3749, preprint from 2015.
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    • Henning Haahr Andersen, Catharina Stroppel and Daniel Tubbenhauer, Cellular structures using \(\textbf{U}_q\)-tilting modules, Pacific J. Math. 292-1 (2018), 21-59, preprint from 2015.
      Paper's home
    • David E.V. Rose and Daniel Tubbenhauer, Symmetric webs, Jones-Wenzl recursions and q-Howe duality, Int. Math. Res. Not. (IMRN), 2016-17 (2016), 5249-5290, preprint from 2015.
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  • Papers from 2014
    • Henning Haahr Andersen and Daniel Tubbenhauer, Diagram categories for \(\textbf{U}_q\)-tilting modules at roots of unity, Transform. Groups 22 (2017), no. 1, 29-89, preprint from 2014.
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    • Daniel Tubbenhauer, \(\mathfrak{gl}_n\)-webs, categorification and Khovanov-Rozansky homologies, J. Knot Theory Ramifications 29-11 (2020), 96 pages, preprint from 2014.
      Paper's home
  • Papers before 2014
    • OA Daniel Tubbenhauer, \(\mathfrak{sl}_3\)-web bases, intermediate crystal bases and categorification, J. Algebraic Combin. 40-4 (2014), 1001-1076, preprint from 2013.
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    • Marco Mackaay, Weiwei Pan and Daniel Tubbenhauer, The \(\mathfrak{sl}_3\) web algebra, Math. Z. 277-1-2 (2014), 401-479, preprint from 2012.
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    • Daniel Tubbenhauer, Virtual Khovanov homology using cobordisms, J. Knot Theory Ramifications 23-9 (2014), 91 pages, preprint from 2011.
      Paper's home
  • Other publications
    • Daniel Tubbenhauer, Categorification and applications in topology and representation theory, Ph.D thesis, published, preprint from 2013.
      Thesis' home
    • Daniel Tubbenhauer, Khovanov homology for virtual tangles and applications, merged with Virtual Khovanov homology using cobordisms, J. Knot Theory Ramifications 23-9 (2014), 91 pages, preprint from 2012.
      Paper's home
  • Additional material for the papers above
    • Henning Haahr Andersen, Catharina Stroppel and Daniel Tubbenhauer, Additional notes for the paper “Cellular structures using \(\textbf{U}_q\)-tilting modules”.
      File
    • A MATHEMATICA based program for calculations of the virtual Khovanov complex that I have defined in the paper above.
      Computer talk: MATHEMATICA file and Notebook and Some calculations

    • List of my coauthors; who had all the ideas and who have done all the work