LIE-STØRMER CENTER

About

Mission

Lie & Størmer

Vision

Video

Research

The Lie-Størmer Center will unite and advance the research frontiers in computational and pure mathematics by exploring fundamental mathematical structures and their increasing significance for modern computational problems. The research ambitions are guided by the following three fundamental questions.

What are the underlying foundations of structured and efficient computations in mathematics?
How does symmetry, respectively order, facilitate and structure computational processes?
Which modern algebraic structures build new bridges between the continuous and the discrete?

Research Themes

The research at the LSC will be organized into six interrelated research themes (RTs). Two core center members will lead the research and coordinate the joint work within the RT as well as the collaboration with the other RTs present at the LSC.

RT1: CONnections

RT2: DEFormations

RT3: COMpositions

RT4: REPresentations

RT5: LINearization

RT6: POLynomials

The themes reflect our basic philosophy: We center the research at the LSC around mathematical structures that are fundamental for a fertile interaction between computational and pure mathematics. The topics interlace and overlap in many ways. One of our primary goals is to provide a working environment where we generously exchange ideas between the different RTs and different research communities. We do believe in the serendipity of science and are open to extending our scope within the ten-year frame of the LSC.

The RTs combine a local vs global perspective on mathematical problems and concepts. This has different incarnations, ranging, for instance, from the geometric notion of connection and abstract Lie theory, to the decomposition of mathematical objects such as graphs and complexes. Adding a computational perspective results in an innovative approach to finding the ‘right’ representation capturing essential structural properties of those objects. It provides feedback on the mathematical ideas involved, and our theoretical understanding will advance in parallel with our computational output.

The topics of our RTs represent central areas of mathematics that are traditionally understood differently in the computational- and pure-mathematics communities. By enhancing an abstract, geometric, and coordinate-free understanding of these mathematical structures with additional features needed for defining and implementing efficient computational procedures, we attack Question I. Symmetries, mentioned in Question II, are central to the topics of connections, representations, and polynomials and are essential in the design of efficient algorithms. The role of algebraic structures, central in Question III, is crucial in the transition from smooth models of the world, based on differential equations, to discrete representations amenable to computational algorithms and software. Recent developments have shown that the computational view is revealing important new algebraic structures, and QIII permeates all our RTs.

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People behind the Center

The mathematical expertise in algebra, combinatorics, geometry, and topology, gathered in the two center nodes at UiT and UiB stems from Norway-based and international experts. In addition to seven PIs at its core, leading Norwegian and international experts will be associated with the center as members and spend longer stays at one of the center nodes as visiting professors and co-supervisors of Ph.D. students. An independent Scientific Advisory Board of six prominent scientists will give advice regarding research directions, management, and funding and the center is governed by a Board of Directors, with representatives of each university, industry, and the Norwegian Mathematical Society.

Directors

Hans Munthe-KaasProfessor

Cordian RienerProfessor

Scientific Council

Fatemeh MohammadiProfessor

Markus SzymikProfessor

Kurusch Ebrahimi-FardProfessor

Gunnar FløystadProfessor

Karin BaurProfessor

Other Key members

Christine VespaMaître de conférences

Claudia MalvenutoAssociate professor

Torstein Kastberg NilssenAssociate professor

Boris KruglikovProfessor

Sarah Whitehouse Professor

Erlend GrongResearcher

Snorre ChristiansenProfessor

Kristian RanestadProfessor

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Muriel LivernetProfesseur

Elena CelledoniProfessor

Irina MarkinaProfessor

Kris ShawAssociate professor

About

Mission

Lie & Størmer

Vision

Video

Research

Research Themes

People behind the Center

Directors

Hans Munthe-Kaas – Professor

Cordian Riener – Professor

Scientific Council

Fatemeh Mohammadi – Professor

Markus Szymik – Professor

Kurusch Ebrahimi-Fard – Professor

Gunnar Fløystad – Professor

Karin Baur – Professor

Other Key members

Christine Vespa – Maître de conférences

Claudia Malvenuto – Associate professor

Torstein Kastberg Nilssen – Associate professor

Boris Kruglikov – Professor

Sarah Whitehouse – Professor

Erlend Grong – Researcher

Snorre Christiansen – Professor

Kristian Ranestad – Professor

Muriel Livernet – Professeur

Elena Celledoni – Professor

Irina Markina – Professor

Kris Shaw – Associate professor