I always loved mathematics and in particular geometry and topology.
My next favorite subject is philosophy. I am still curious why we are here.
I have no illusions that we will ever know, but at least I would like to understand
what we are all doing here.
My research evolved from algorithms and data structures to
computational geometry and computational topology.
It might sometimes not be obvious, but I use applications
to determine the direction of my research,
keeping in mind that the most applicable of all is a good theory.
A recent interview touches upon this issue:
||I was born and grew up in Austria.
I visited the United States in 1985 and made an overnight decision to leave
Austria and come to the US, possibly for a few years.
With no time left for planning I accepted the offer from the
University of Illinois. I have stayed there until 1999 when I moved to Duke University.
In 2009, I moved to my current position at IST Austria.
My spare time interests include listening to music,
and reading books in mathematics, philosophy, politics, biology, neurobiology,
and on rare occasons a novel.
I co-founded a company in April 1996.
This turns out to be more demanding than I believed although I was warned.
The name simplified from Raindrop Geomagic to Geomagic,
and in 2013, the company was bought by 3D Systems, which is a 3D printing company.
|I decided to join the new
Institute of Science and Technology in Austria, near Vienna, starting
August 2009. This promises to be challenging and invigorating.
IST Austria is an ambitious acadamic start-up near Vienna.
By 2020, there are about 60 research groups in computer science,
mathematics, biology, neuroscience, physics, and chemistry
at the Institute. More to come.
Advising and Teaching
I currently work with visitors:
Janos Pach and Morteza Saghafian;
with post-doctoral fellows:
Ranita Biswas, Adam Brown, Farid Karimipour,
Hana Kourimska, Zuzana Masarova, Anton Nikitenko,
and Mathijs Wintraecken;
and I advise graduate students at various program stages:
Sebastiano Cultrera, Ondrej Draganov,
Christopher Fillmore, Teresa Heiss, and
In 2016, we joined the Sonderforschungsbereich
on discretization in geometry and dynamics,
which is funded in Germany by the DFG and in Austria by the FWF.
The project got extended in 2020.
In 2017, we started a collaboration with Vitaliy Kurlin on
topological data analysis for a faster discovery of new materials,
which is funded by the Royal Society.
The funding ended, but the collaboration continues.
2018 was a good year for me.
I started a project on alpha shape theory extended funded by the ERC,
and I received the Wittgenstein Prize, awarded by the FWF.
In 2019, I started an Austrian-Slovenian cooperation project
with Ziga Virk on algebraic footprints of geometric features
in homology, which is funded by the FWF.
Publications and Software
I published three books in the general area of computational geometry and topology,
and a fourth short book will soon be on the market:
A complete list of my publications is given in reverse chronological order.
The Alpha Shapes
software is designed to analyze point data in three dimensions. It specializes on molecular conformations,
where a molecule is given as a set of atoms and each atom is a sphere given by its center (a point) and radius.
For surface reconstruction I recommend Geomagic Wrap instead.
I used that software to create the 180 wrapped tubes, which
you can download in .stl format and print if you have a layered technology machine.
Even if you have better things to do, visit a most baffling development
within a Russian-Austrian collaboration:
- H. Edelsbrunner. A Short Course in Computational Geometry and Topology.
Springer, Heidelberg, Germany, 2014.
- H. Edelsbrunner and J. Harer. Computational Topology. An Introduction.
Amer. Math. Soc., Providence, Rhode Island, 2010.
- H. Edelsbrunner. Geometry and Topology for Mesh Generation.
Cambridge Univ. Press, Cambridge, England, 2001.
- H. Edelsbrunner. Algorithms in Combinatorial Geometry.
Springer-Verlag, Heidelberg, Germany, 1987.
Home Page: http://www.ist.ac.at/~edels
Phone: +43 (2243) 9000-3301
Fax: +43 (2243) 9000-2007
Am Campus 1
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