Daniel Müllner

I work as a software developer in Zürich, Switzerland. Before, I was postdoc in Gunnar Carlsson's group at Stanford University. Here are my contact details:

Address

Daniel Müllner
Funkwiesenstrasse 40
8050 Zürich
Switzerland
e-mail:

public key

Research interests

Computational Topology, Topological Data Analysis

Teaching

Applied Algebraic Topology, Spring 2012

Software

Python Mapper (with Aravindakshan Babu)
fastcluster: Fast hierarchical clustering routines for R and Python
xypdf, PDF output for diagrams in LaTEX with the XY-pic package
My favorite desktop theme

Hardware

Dew point ventilation controller

Preprints

Daniel Müllner, Modern hierarchical, agglomerative clustering algorithms, arXiv: 1109.2378

Publications

Daniel Müllner, Clemens Groß, Method for planning a dental structure, EP patent 3531959A1 (2019)
Elisa Dultz, Harianto Tjong, Elodie Weider, Mareike Herzog, Barry Young, Christiane Brune, Daniel Müllner, Christopher Loewen, Frank Alber, Karsten Weis, Global reorganization of budding yeast chromosome conformation in different physiological conditions, J Cell Biol 212 (2016), no. 3, 321–334
Daniel Müllner, fastcluster: Fast Hierarchical, Agglomerative Clustering Routines for R and Python, Journal of Statistical Software 53 (2013), no. 9, 1–18
Daniel Müllner, Orientation reversal of manifolds, Algebr. Geom. Topol. 9 (2009), no. 4, 2361–2390

Dissertation: Orientation reversal of manifolds

Advisor: Prof. Matthias Kreck

I studied the phenomenon of chirality in the context of manifolds. A connected, orientable manifold is called amphicheiral if it admits an orientation-reversing self-map and chiral if it does not. Many familiar manifolds like spheres or orientable surfaces are amphicheiral: they can be embedded mirror-symmetrically into ℝn, as the following figure illustrates.

Reflect at the equator:

Similarly
	and

On the other hand, examples of chiral manifolds have been known for many decades, e. g. the complex projective spaces ℂP2k and some lens spaces in dimensions congruent 3 mod 4. A fundamental question was in which dimensions chiral manifolds exist. While every manifold in dimensions 1 and 2 is amphicheiral, one of my results is that in all other dimensions there exist chiral manifolds.

For more information, read a summary or the dissertation itself:

Daniel Müllner, Orientation reversal of manifolds, Bonner Mathematische Schriften, vol. 392, Bonn, 2009