# 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 below.

# 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.

- Elijah Bodish and Daniel Tubbenhauer,
Orthogonal webs and semisimplification,
preprint from 2024.

Paper's home

- Andrew Mathas and Daniel Tubbenhauer,
Cellularity of KLR and weighted KLRW algebras via crystals,
preprint from 2023.

Paper's home - 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 - Daniel Tubbenhauer,
On rank one 2-representations of web categories,
preprint from 2023.

Paper's home - Elijah Bodish and Daniel Tubbenhauer,
On a symplectic Howe duality,
preprint from 2023.

Paper's home - Kevin Coulembier, Victor Ostrik and Daniel Tubbenhauer,
Growth rates of the number of indecomposable summands in tensor powers,
to appear in Algebr. Represent. Theory,
preprint from 2023.

Paper's home

- Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz,
A formula to evaluate type A webs and link polynomials,
to appear in Ark. Mat.,
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 - Daniel Tubbenhauer,
Sandwich cellularity and a version of cell theory, to appear in Rocky Mountain J. Math.,
preprint from 2022.

Paper's home - 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 - 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 - 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

- 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,
Cellularity and subdivision of KLR and weighted KLRW algebras, to appear in Math. Ann.,
preprint from 2021.

Paper's home - 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 - Daniel Tubbenhauer and Pedro Vaz,
Handlebody diagram algebras, Rev. Mat. Iberoam. 39 (2023), no. 3, pp. 845-896,
preprint from 2021.

Paper's home

- 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

- 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.

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

- 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

- 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

- 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.

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

- 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.

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

- 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

- 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

- 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

- 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

- Henning Haahr Andersen
- Elijah Bodish Homepage
- Kevin Coulembier Homepage
- Michael Ehrig Homepage
- Mikhail Khovanov Homepage
- Abel Lacabanne Homepage
- Genta Latifi
- Marco Mackaay
- Andrew Mathas Homepage
- Volodymyr Mazorchuk Homepage
- Vanessa Miemietz Homepage
- Victor Ostrik Homepage
- Weiwei Pan
- David E.V. Rose Homepage
- Antonio Sartori Homepage
- Maithreya Sitaraman Homepage
- Catharina Stroppel Homepage
- Louise Sutton Homepage
- Pedro Vaz Homepage
- Paul Wedrich Homepage
- Arik Wilbert Homepage
- Xiaoting Zhang Homepage
- Jieru Zhu Homepage