Felix Breuer
Dr. rer. nat.
Postdoc at San Francisco State University funded by the DFG
eMail: felix@removethis.fbreuer.de
Blog: blog.felixbreuer.net
Twitter: @felixbreuer
Google+: +Felix Breuer
Last Update: March 3rd, 2012
Blog
The best way to see what I am currently working on is to visit my blog.
Mathematics
Here is a list of my formal mathematical articles.
Ehrhart f*-coefficients of polytopal complexes are non-negative integers (2012)
Hypergraph Coloring Complexes (2011) with Aaron Dall and Martina Kubitzke
Bounds on the Coefficients of Tension and Flow Polynomials (2010) with Aaron Dall
To appear in the Journal of Algebraic Combinatorics.
Ham Sandwiches, Staircases and Counting Polynomials (2009)
PhD Thesis, FU Berlin, 2009.
Viewing counting polynomials as Hilbert functions via Ehrhart theory (2009, published 2010) with Aaron Dall
Felix Breuer, Aaron Dall. Viewing counting polynomials as Hilbert functions via Ehrhart theory. In: 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010). DMTCS, 413-424, 2010.
Article at DMTCS, Poster at FPSAC, Preprint at arXiv
Finding Fullerene Patches in Polynomial Time (2009) with Paul Bonsma
Paul Bonsma, Felix Breuer. Finding Fullerene Patches in Polynomial Time. In: Algorithms and Computation: 20th International Symposium, ISAAC 2009; Yingfei Dong, Ding-Zhu Du, Oscar Ibarra, editors. Lecture Notes in Computer Science Volume 5878, 2009.
Article at SpringerLink, Preprint at arXiv
Ehrhart theory, Modular flow reciprocity, and the Tutte polynomial (2009) with Raman Sanyal
To appear in Mathematische Zeitschrift.
Staircases in Z2 (2009) with Frederik von Heymann
To appear in INTEGERS.
Counting Hexagonal Patches and Independent Sets in Circle Graphs (2008, published 2010)
Paul Bonsma, Felix Breuer. Counting Hexagonal Patches and Independent Sets in Circle Graphs. In: LATIN 2010: Theoretical Informatics; Alejandro López-Ortiz, editor. Lecture Notes in Computer Science Volume 6034, 603-614, 2010.
Article at SpringerLink, Preprint at arXiv
Uneven Splitting of Ham Sandwiches (2008, published 2010)
Felix Breuer, Uneven Splitting of Ham Sandwiches, Discrete and Computational Geometry 43(4), 876-892, 2010.
Article at SpringerLink, Preprint at arXiv
Gauss Codes and Thrackles (2006)
Diploma Thesis, FU Berlin, 2006.
Domino-Pflasterungen und Aztekensterne (2006) with Daria Schymura
Felix Breuer, Daria Schymura, Domino–Pflasterungen und Aztekensterne, Mathematische Semesterberichte 53(1), 81 - 99, 2006.
Article at SpringerLink, Preprint as PDF
Philosophy
Feldenkrais' Spontaneous Action and Laozi's Wuwei (2012)
Journal of Daoist Studies 5, 169 - 183, 2012.
Teaching
In the fall term of 2011 I volunteered to teach Math 890 at San Francisco State University. The title of the course was "Using Intuitive Geometry - Using Geometric Intuition" and it dealt mainly with discrete geometry. Course materials can be found on my blog.
Math Video
As an experiment in communicating mathematics Peter and I created this video.Der kleine Gauß (2010) with Peter Krautzberger
Software
I am currently maintaining three open source software projects.
Qute
Qute is a text editor for Windows/Linux/Mac OS built around Markdown and MathJax. It offers TeX support and per-paragraph preview of markup (including typeset formulas)! It also an experiment in the visual aesthetics of text editing. There also is a version of Qute for Android, but that one offers fewer features.
Mathblogging.org
Mathblogging.org is a blog aggregator for the mathematical blogging community. Its code is available on github. My coauthors on this project are Peter Krautzberger and Fred von Heymann.
InkBoard
InkBoard is an experimental pen-centric on-screen keyboard which I designed and implemented. It was written in Clojure and is available as open-source software. It is part of the larger InkCode project.
In the past I have been involved in several open source software projects, some of which are worth mentioning.
TeXmacs
TeXmacs is a scientific text editor. I helped implementing the converter to XML formats. I also built a prototype of a literate programming system for TeXmacs, which is still available here.
Heretix
Heretix was a source based GNU/Linux distribution, whose package manager was implemented as a Ruby script. I helped writing packages, maintaining the website and integrating a documentation system into the package manager itself. Heretix has been discontinued.
Fiction
Now and then I have been writing fiction.
Eine inszenierte Revolte (2007)
17 Gen r (2000)
"17 Gen r" is a fragment of a novel. I brought this project pretty far (beyond 100.000 words), but in the end I did not finish it.
Ein Jahr (1999)
The short story "Ein Jahr" was published in an anthology in 1999.