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 Don Taylor and Daniel Tubbenhauer, Magma in a nutshell, from 2023.
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      YouTube video lecture series:
      Click
      Workshop's outcome: a beautiful gift for Don and myself; thank you so much Alex and Bregje!
      Click
    • OA Daniel Tubbenhauer, Quantum topology without topology, from 2022.
      Click
  • Papers from 2025
    • Willow Stewart and Daniel Tubbenhauer, Representation gaps of rigid planar diagram monoids, preprint from 2025.
      Paper's home
    • Daniel Tubbenhauer and Victor Zhang, Big data comparison of quantum invariants, preprint from 2025.
      Paper's home
    • Jonathan Gruber and Daniel Tubbenhauer, Growth problems in diagram categories, preprint from 2025.
      Paper's home
    • David He and Daniel Tubbenhauer, Growth problems for representations of finite monoids, preprint from 2025.
      Paper's home
  • Papers from 2024
    • Peter DeBello and Daniel Tubbenhauer, Diagrammatics for dicyclic groups, preprint from 2024.
      Paper's home
    • Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, Big data approach to Kazhdan–Lusztig polynomials, preprint from 2024.
      Paper's home
    • Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, On Hecke and asymptotic categories for complex reflection groups, preprint from 2024.
      Paper's home
    • OA Joel Gibson, Daniel Tubbenhauer and Geordie Williamson, Equivariant neural networks and piecewise linear representation theory, to appear in Contemp. Math. (supporting Ukrainian mathematics), preprint from 2024.
      Paper's home
    • OA Kevin Coulembier, Pavel Etingof, Victor Ostrik and Daniel Tubbenhauer, Fractal behavior of tensor powers of the two dimensional space in prime characteristic, to appear in Contemp. Math. (supporting Ukrainian mathematics), preprint from 2024.
      Paper's home
    • Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, Asymptotics in infinite monoidal categories, preprint from 2024.
      Paper's home
    • OA Elijah Bodish and Daniel Tubbenhauer, Orthogonal webs and semisimplification, to appear in Comb. Theory, preprint from 2024.
      Paper's home
  • Papers from 2023
    • Andrew Mathas and Daniel Tubbenhauer, Cellularity of KLR and weighted KLRW algebras via crystals, preprint from 2023.
      Paper's home
    • 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.
      Paper's home
    • OA Daniel Tubbenhauer, On rank one 2-representations of web categories, Algebr. Comb. Volume 7 (2024) no. 6, pp. 1813-1843, preprint from 2023.
      Paper's home
    • OA Elijah Bodish and Daniel Tubbenhauer, On a symplectic Howe duality, Math. Z. 309 (2025), no. 4, Paper No. 68, preprint from 2023.
      Paper's home
    • 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
    • Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, Verma Howe duality and LKB representations, preprint from 2022.
      Paper's home
    • OA Daniel Tubbenhauer, Sandwich cellularity and a version of cell theory, Rocky Mountain J. Math. 54 (6), 1733-1773, (December 2024), preprint from 2022.
      Paper's home
    • 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.
      Paper's home
    • 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.
      Paper's home
    • 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.
      Paper's home
  • 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.
      Paper's home
    • 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.
      Paper's home
  • 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.
      Paper's home
    • 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.
      Paper's home
  • 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.
      Paper's home
    • OA Daniel Tubbenhauer and Paul Wedrich, Quivers for \(\mathrm{SL}_{2}\) tilting modules, Represent. Theory 25 (2021), 440-480, preprint from 2019.
      Paper's home
    • 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.
      Paper's home
  • Papers from 2018
    • Michael Ehrig and Daniel Tubbenhauer, Algebraic properties of zigzag algebras, Comm. Algebra 48 (2020), no.1, 11-36, preprint from 2018.
      Paper's home
    • Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz and Daniel Tubbenhauer, Trihedral Soergel bimodules, Fund. Math. 248 (2020), no. 3, 219-300, preprint from 2018.
      Paper's home
  • Papers from 2017
    • Michael Ehrig and Daniel Tubbenhauer, Relative cellular algebras, Transform. Groups 26 (2021), no. 1, 229-277, preprint from 2017.
      Paper's home
    • 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.
      Paper's home
    • 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.
      Paper's home
    • 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.
      Paper's home
    • Michael Ehrig, Catharina Stroppel and Daniel Tubbenhauer, Generic \(\mathfrak{gl}_{2}\)-foams, web and arc algebras, preprint from 2016.
      Paper's home
  • 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.
      Paper's home
    • 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.
      Paper's home
    • 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.
      Paper's home
    • 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.
      Paper's home
  • 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.
      Paper's home
    • 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.
      Paper's home
    • Marco Mackaay, Weiwei Pan and Daniel Tubbenhauer, The \(\mathfrak{sl}_3\) web algebra, Math. Z. 277-1-2 (2014), 401-479, preprint from 2012.
      Paper's home
    • 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