KaMCAM | Kac-Moody groups and Computer Assistants in Mathematics

Summary
This fellowship will enable the experienced Researcher Dr Rieuwert Blok - a currently USA-based European Union national - and Dr Corneliu Hoffman - as Host researcher based at the University of Birmingham - to carry out innovative and mutually beneficial research utilising their complementary skill sets. Blok brings extensive research experience in buildings, Lie theory and geometries while Hoffman's background is in group theory, representation theory and number theory. The fellowship aims to create optimal conditions for the Researcher to reintegrate into ERA for the benefit of both the Researcher and the ERA.

The action comprises two distinct, yet interconnected Work Packages .
The first one concerns Curtis-Tits groups, a large family of groups recently introduced by the Researcher and Dr Hoffman.
This family includes groups of established importance, namely groups of Lie and Kac-Moody type, but in fact contains many new groups of great theoretical significance and practical interest.
The action develops methods that open up this promising family for further study. It then determines key properties such as simplicity, and explores and establishes applications in geometric group theory, combinatorics, group presentations, and computer science. The subject area is an innovative blend of group theory, homological algebra, topology, geometry, number theory and computer science.

The second package is an interdisciplinary project between mathematics and computer science, exploring the promise of effectively using the recent developments surrounding proof assistants in teaching and research.
It builds forth upon pioneering work in this direction by both researchers at their respective universities.
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More information & hyperlinks
Web resources: https://cordis.europa.eu/project/id/661035
Start date: 01-08-2015
End date: 31-07-2017
Total budget - Public funding: 195 454,80 Euro - 195 454,00 Euro
Cordis data

Original description

This fellowship will enable the experienced Researcher Dr Rieuwert Blok - a currently USA-based European Union national - and Dr Corneliu Hoffman - as Host researcher based at the University of Birmingham - to carry out innovative and mutually beneficial research utilising their complementary skill sets. Blok brings extensive research experience in buildings, Lie theory and geometries while Hoffman's background is in group theory, representation theory and number theory. The fellowship aims to create optimal conditions for the Researcher to reintegrate into ERA for the benefit of both the Researcher and the ERA.

The action comprises two distinct, yet interconnected Work Packages .
The first one concerns Curtis-Tits groups, a large family of groups recently introduced by the Researcher and Dr Hoffman.
This family includes groups of established importance, namely groups of Lie and Kac-Moody type, but in fact contains many new groups of great theoretical significance and practical interest.
The action develops methods that open up this promising family for further study. It then determines key properties such as simplicity, and explores and establishes applications in geometric group theory, combinatorics, group presentations, and computer science. The subject area is an innovative blend of group theory, homological algebra, topology, geometry, number theory and computer science.

The second package is an interdisciplinary project between mathematics and computer science, exploring the promise of effectively using the recent developments surrounding proof assistants in teaching and research.
It builds forth upon pioneering work in this direction by both researchers at their respective universities.

Status

CLOSED

Call topic

MSCA-IF-2014-EF

Update Date

28-04-2024
Geographical location(s)
Structured mapping
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EU-Programme-Call
Horizon 2020
H2020-EU.1. EXCELLENT SCIENCE
H2020-EU.1.3. EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions (MSCA)
H2020-EU.1.3.2. Nurturing excellence by means of cross-border and cross-sector mobility
H2020-MSCA-IF-2014
MSCA-IF-2014-EF Marie Skłodowska-Curie Individual Fellowships (IF-EF)