# Home Page

ACAT is an ESF networking programme about *Applied and Computational Algebraic Topology* (see the the brochure and the detailed programme proposal).

The revolutionary growth of experimental data in the sciences and the availability of unprecedented computing power pose many challenges to contemporary mathematics. The ESF Research Network on *Applied and Computational Algebraic Topology* will combine efforts of researchers from thirteen European countries to develop mathematical tools for the following broad research themes:

- The topological and statistical analysis of shapes, images, and large multidimensional data sets;
- Algorithms for motion planning and the study of configuration spaces of mechanical systems;
- Statistical topology and the study of large growing systems;
- The theory of concurrent computation and computer networks.

Research on these themes is currently carried out in small groups spread over several European countries. The Network will facilitate intensified interactions and cross-fertilization, which we predict will lead to new results and entire new research directions as well as to commercial applications in industry. The Network will organize summer schools and conferences to support the formation of an integrated research community in *Applied and Computational Algebraic Topology* and to attract an increasing number of students to the field. The Network will actively collaborate with experts outside Europe.

## Upcomping events

- July 1-5, 2013: Summer school on computational topology and topological data analysis, Ljubljana, Slovenia.
- July 2-6, 2013: Conference on Applications of Computer Algebra, Málaga, Spain.
- July, 15-19, 2013: Applied and Computational Algebraic Topology, Bremen, Germany
- July 22-27, 2013 Applied Topology Bedlewo 2013, Bedlewo, Poland
- August 1–4, 2013: SIAM Conference on Applied Algebraic Geometry, Fort Collins, Colorado, USA.
- August 26 – 30, 2013: Mathematical Methods in Theoretical Distributed Computing, Bremen, Germany.
- August 28 – 30, 2014: Geometric Science of Information, MINES Paris Tech, France.
- September 1, 2013 – June 30, 2014: IMA Thematic year on scientific and engineering applications of algebraic topology, Twin Cities MN, USA.
- January 6 – February 7, 2014: Structures mathématiques du calcul, Lyon, France.
- February 10 – 14, 2014: Topological Data Analysis, Program on Low-dimensional Structures in High-dimensional Systems (LDHD). Statistical and Applied Mathematical Sciences Institute (SAMSI), North Carolina, USA.
- January 20, 2014 – May 23, 2014: Algebraic Topology, MSRI, Berkeley CA, USA.
- April 7-July 11, 2014: Semantics of proofs and certified mathematics, Paris, France.

## Past events

- February 3-4, 2012: Applied and Computational Algebraic Topology Advanced School, Bologna, Italy
- February 6-8, 2012: 4th International Workshop on Computational Topology in Image Context (CTIC) Bertinoro, Italy
- February 16-19, 2012: New Insights into Lusternik Schnirelmann category, Santiago de Compostela, Spain
- March 18-23, 2012: Workshop on Applications of Combinatorial Topology to Computer Science, Schloss Dagstuhl, Germany
- June 24-30, 2012: Conference on Dynamics, Topology and Computations, Bedlewo, Poland
- July 2-7, 2012: 6th European Congress of Mathematics, Krakow, Poland.
- July 2-7, 2012: Mini-symposium Applied and Computational Algebraic Topology, Krakow, Poland.
- July 2-7, 2012: Conference ATMCS V, Edinburgh, Scotland, UK
- July 23-27, 2012: Algebraic Topology: Applications and New Directions, Stanford CA, USA
- September 5-7 2012 ACAT in Aalborg, Aalborg, Denmark.
- October 14-19, 2012: Workshop on Topological Data Analysis and Machine Learning, Banff, Canada
- March 20-22, 2013: 17th IAPR International Conference on Discrete Geometry for Computer Imagery, Sevilla, Spain.

## Newsletters

Past newsletters can be accessed below:

## Steering Committee

- Chair
- Professor Martin Raussen, Aalborg University, Department of Mathematical Sciences, Aalborg, Denmark

- Members
- Professor Herbert Edelsbrunner, Institute of Science & Technology Austria, Klosterneuburg, Austria
- Professor Graham Ellis, National University of Ireland, Department of Mathematics, Galway, Ireland
- Professor Michael Farber, University of Warwick, Mathematics Institute, Coventry, United Kingdom
- Professor Dmitry Feichtner-Kozlov, University Bremen, FB3 Mathematik, Bremen, Germany
- Professor Massimo Ferri, University of Bologna, Dipartimento di Matematica, Bologna, Italy
- Professor Eric Goubault, CEA & Ecole Polytechnique, Gif-sur-Yvette, France
- Professor Thomas Kappeler, University of ZurichInstitute of Mathematics, Zurich, Switzerland
- Professor Neza Mramor Kosta, University of Ljubljana, Faculty of Computer and Information Science, Ljubljana, Slovenia
- Professor Marian Mrozek, WSB-NLU, Chair of Computational Mathematics, Nowy Sacz, Poland
- Professor Aniceto Murillo, Universidad de Malaga, Dept. Algebra Geometria y Topologia, Malaga, Spain
- Professor Lucile Vandembroucq, Universidad de Minho, Centro de Matematica, Braga, Portugal

- Observer
- Professor Roy Meshulam, Technion - Israel Institute of Technology, Department of Mathematics, Haifa, Israel