AstonishingASsociate Team On NonISH euclIdeaN Geometry 
Principal investigators  
(Vegas, then)
Gamble common projectteam
INRIA Nancy  Grand Est, LORIA  Coordinator: Monique Teillaud 
Johann Bernouilli Institute for Mathematics and Computer Science
University of Groningen  Coordinator: Gert Vegter  
Other participating sites  
Mathematics Research Unit
University of Luxembourg  Coordinator: JeanMarc Schlenker 
Laboratoire d'Informatique Gaspard Monge
MarnelaVallée  Coordinator: Éric Colin de Verdière 
We aim at studying various structures and algorithms in other spaces than R^{d}, from a computational geometry viewpoint. Proposing algorithms operating in such spaces requires a prior deep study of the mathematical properties of the objects considered, which raises new fundamental and difficult questions that we want to tackle.
Methodology.
A key characteristic of the project is its
interdisciplinarity: it gathers approaches, knowledge, and tools in
mathematics and computer science.
A mathematical study of the considered objects will be
performed, together with the design of algorithms when
applicable. Algorithms will be analyzed both in theory and in practice
after prototype implementations. In the long term,
implementations should be improved whenever
it makes sense to target longerterm integrations into CGAL, in order
to disseminate our results to endusers.
Challenges. The global difficulty of this project is intrinsic to the differences between the classical Euclidean spaces and the spaces that we consider (to spot only one concrete example: translations in the hyperbolic plane do not commute). This prevents known algorithms of computational geometry from naturally extending to other spaces. The mathematical difficulties are real and new ideas will be necessary. The challenge is to provide new mathematical foundations for computational geometry, in order to allow the emergence of algorithms that will be both efficient in theory and effective in practice.
Visits to/from Groningen are partially supported by the University of Groningen.
Visits to/from Luxembourg are partially supported by the
University of Luxembourg. Since January 2018, those visits, as well as
visits between INRIA and LIGM, fall under
the umbrella of the project SoS, cofunded by
ANR and FNR.
2018  
November 20  21  Éric Colin de Verdière and Vincent Despré visit U. Luxembourg.  
October 22  November 9  Gert Vegter visits INRIA.  
October 23  24  Éric Colin de Verdière visits INRIA.  
October 8  12  Matthijs Ebbens visits U. Luxembourg.  
October 8  10  Vincent Despré visits U. Luxembourg.  
September 1st  Vincent Despré is recruited as an assistant professor.  
June 27  July 4  Matthijs and Iordan both give a presentation on our joint work at Curves and Surfaces.  
June 26  28  Vincent Despré visits U. Luxembourg.  
May 2  4  Several partners from MarnelaVallée and Luxembourg visit INRIA.  
April 23  24 
Vincent Despré visits U. Luxembourg. He gives a talk on Computing the Geometric Intersection Number of Curves 

April 9  20  Iordan Iordanov and Monique Teillaud visit U. Groningen.  
April 4  5  Vincent Despré and Monique Teillaud visit U. Luxembourg.  
March 19  20  Vincent Despré visits U. Luxembourg.  
March 19  Monique Teillaud visits U. Luxembourg.  
March 14  Éric Colin de Verdière visits INRIA.  
February 26  March 2  Éric Colin de Verdière visits U. Luxembourg.  
February 26  27  Vincent Despré visits U. Luxembourg.  
February 15  16  Vincent Despré visits U. Luxembourg.  
January 15  26  Iordan Iordanov and Monique Teillaud visit U. Groningen.  
2017  
November 13  15  Vincent Despré visits U. Luxembourg.  
October 23  25  Vincent Despré visits U. Luxembourg.  
October 9  11  Vincent Despré visits U. Luxembourg.  
October 9  Monique Teillaud visits U. Luxembourg.  
October 1st  Vincent Despré starts a PostDoc at INRIA.  
September 25  29  Matthijs Ebbens visits INRIA.  
September 25  26  Astonishing workshop at INRIA  
September 18  October 6  Gert Vegter visits INRIA.  
September 1st  Matthijs Ebbens starts his PhD in Groningen.  
June 27  July 4  Iordan Iordanov and Monique Teillaud attend SoCG in Brisbane. Iordan gives the talk on our accepted paper.  
May 8  19  Monique Teillaud visits U. Groningen.  
May 15  19  Iordan Iordanov visits U. Groningen.  
March 29  31  Iordan Iordanov visits U. Luxembourg.  
January 30  Astonishing is accepted as an INRIA Associate Team.  
January 1st  Hugo Parlier joins U. Luxembourg as Professor.  
2016  
December 15  16  Monique Teillaud visits U. Luxembourg.  
November 14  18 
Andrew Yarmola visits INRIA.
He gives a talk: "Hyperbolic 3manifolds with low cusp volume". 

October 27  28  Monique Teillaud visits U. Luxembourg.  
September 19  30  Monique Teillaud visits U. Groningen.  
September 19  23  Iordan Iordanov visits U. Groningen.  
September 1st  Matthijs Ebbens starts his Master in Groningen.  
June 14  18  Monique Teillaud attends SoCG in Boston. She gives the talk on our accepted paper.  
June 1st  30  Iordan Iordanov visits U. Luxembourg.  
Apr 18  May 13 
Gert Vegter visits INRIA.
The visit is supported by the University of Lorraine. 

February 18 
Monique Teillaud and Iordan Iordanov visit U. Luxembourg.
Monique Teillaud gives a talk: "CGAL, geometry made practical" at the seminar Computer Science meets Mathematics. 

January 30  Astonishing is accepted as a NEAT [Nancy Emerging] ASsociate Team supported by INRIA Nancy  Grand Est.  
January 1st  Iordan Iordanov starts his PhD at INRIA. 