People


Michal Jan Adamaszek
, postdoc

Michal Adamaszek joined the group as a postdoc in December 2014. His research is concentrated around combinatorial algebraic topology with connections to graph theory, applied topology and face enumeration. He is also interested in algorithmic and probabilistic aspects of these topics and often does computer experiments as part of his work.


Kasper K. Andersen
, associate professor

Kasper Andersen (KA) was very recently recruited from Copenhagen to the University of Lund to help build a research group in algebraic topology there. Originally a PhD student of Møller, he has been a very active experimental mathematician since the mid-nineties and has obtained or facilitated several important results this way. Apart from the work mentioned above, KA has, with Oliver and Ventura, recently advanced the program of classifying simple 2-fusion systems using a computer-aided approach, verifying the conjectured classification for low orders and ranks. Since KA is employed outside of Denmark he will act as an international expert associated to the project.

Søren Eilers , professor

Søren Eilers organizes the project and leads the efforts targeting the focus area “operator algebras and dynamics” together with Wojciech Szymanski. SE was recently appointed to the first professorial chair at the University of Copenhagen expressly directed at the exploration of the crossfield between operator algebras and dynamics and has used experimental approaches with great success in the study of dynamical systems to allow for a further developent within operator algebras. With Gunnar Restorff and Efren Ruiz, he has reinvigorated the classification theory for certain non-simple C-algebras associated to dynamics and with Mike Boyle and Toke Meier Carlsen given the first flow classification results for sofic shifts. He has also pioneered an experimental approach to certain combinatorial problems, and an article by him and Mikkel Abrahamsen has recently appeared in the leading journal “Experimental Mathematics”.

Rune Johansen , postdoc

Rune Johansen works with Søren Eilers and Wojciech Szymanski in the research area operator algebras and dynamics. His PhD thesis contained a significant experimental component in the investigation of Adler's question concerning renewal systems in symbolic dynamics. He has also used computer experiments to investigate a colouring problem for LEGO-bricks and  the classification of beta-shifts. Currently, he is working on experimental investigations of automorphisms of graph algebras.

Ian Kiming , professor

Ian Kiming (IK) leads the algebra and number theory group in Copenhagen and works in various areas of algebraic number theory/arithmetic geometry.

Frank H. Lutz , postdoc

Frank Lutz's main field of research is experimental topology. He has been involved in various projects on constructing extremal or otherwise interesting triangulations of manifolds. With Jesper Møller he works on colorings of simplicial complexes and manifolds. Together with Bruno Benedetti and Karim Adiprasito he has initiated and is developing random discrete Morse theory. Mimi Tsuruga and FL recently combinatorialized the Akbulut-Kirby handle body description of the Cappell-Shaneson spheres. The resulting triangulations are used, in collaboration with Konstantin Mischaikow and Vidit Nanda, as non-trivial examples for testing the homology software CHomP. With Menachem Lazar, Robert MacPherson, Jeremy Mason and David Srolovitz he works on the topological microstructure analysis of metals and steel.

Jesper Michael Møller , professor

Jesper Michael Møller (JMM) is a member of the topology group and the Centre for Symmetry and Deformation in Copenhagen and has, among many other things, in joint work Andersen, Grodal and Viruel solved the important problem of classifying p-compact groups (for p odd). He has been interested in applying methods of experimental mathematics to topological problems for more than a decade and have pioneered this approach with several students at PhD and master level. For instance, he has verified the strong Quillen conjecture in the context of Euler characteristic of p-subgroup categories.

Nadim Rustom , PhD student

Nadim Rustom is working in algebraic number theory. His main research interest is the arithmetic properties of modular forms and their connections with Galois representations, specifically problems connected to reduction modulo prime powers. He has relied on computer experimentation to generate data in order to verify and formulate conjectures concerning the structure of graded algebras over modular forms of various levels and over various rings, and to investigate questions on finiteness of Galois representations modulo higher powers of primes.

Maria Ramirez Solano , postdoc

Maria Ramirez-Solano works in the research area of operator algebras and tilings. She is currently working with Uffe Haagerup on the experimental side of the investigation of the Thompson group F. Part of her PhD thesis involved computer experiments while investigating a non-standard hierarchical tiling.

Wojciech Szymanski , associate professor

Wojciech Szymanski (WS), was recruited to the University of Southern Denmark in 2008 from a position in Australia to continue his ground-breaking work on the study of -automorphisms and graph C-algebras, thus bringing unique expertise to Denmark. With Conti, he has recently achieved significant progress in the study of the endomorphisms of the Cuntz algebra On which globally preserve certain additional objects. In particular, they have answered an old question of Cuntz’s about the structure of the restricted Weyl group of On by finding a direct relation to the group of automorphisms of the full two-sided shift.

Brian Vinter , professor

Brian Vinter (BV) leads the University of Copenhagen’s E-Science center and has been active in cluster-computing research since 1994. He has provided significant contributions to research in the field, specifically within Distributed Shared Memory, and has been a pioneer in establishing grids in Denmark and has served as Nordic representative in the steering committee for the OECD Global Science forum in the working group for Grid computing.