# Disclaimer

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

# My research output

Publication list: available here.

• Papers from 2022
• Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz, Annular webs and Levi subalgebras, preprint from 2022.
Paper's home
• Andrew Mathas and Daniel Tubbenhauer, Cellularity for weighted KLRW algebras of types $$B$$, $$A^{(2)}$$, $$D^{(2)}$$, preprint from 2022.
Paper's home
• Mikhail Khovanov, Maithreya Sitaraman and Daniel Tubbenhauer, Monoidal categories, representation gap and cryptography, 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
• Andrew Mathas and Daniel Tubbenhauer, Subdivision and cellularity for weighted KLRW algebras, preprint from 2021.
Paper's home
• Louise Sutton, Daniel Tubbenhauer, Paul Wedrich and Jieru Zhu, $$\mathrm{SL}_{2}$$ tilting modules in the mixed case, preprint from 2021.
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• Daniel Tubbenhauer and Pedro Vaz, Handlebody diagram algebras, to appear in Rev. Mat. Iberoam, 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.
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.
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• Papers from 2019
• 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
• 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, 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.
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• 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
• 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.
Paper's home
• 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
• 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.
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• 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.
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• Papers before 2014
• 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.
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• 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