Discrete Algebra and Geometry (DAG)

Phenomena throughout mathematics and the natural sciences have discrete algebraic aspects, often along with analytical counterparts. While the latter are typically modelled using real numbers, differential equations, and numerical computations, describing the discrete-algebraic aspects involves objects like nite elds, graphs, polynomials, groups, algebras, and symbolic computations.

The Discrete Algebra and Geometry group at the TU/e develops the mathematics needed for such a description. It plays a leading role in algebraic graph theory, nite and incidence geometry, and discrete Lie theory. Moreover team members are active in the elds of computer algebra, interactive mathematics, and applicable algebraic geometry.

You can find more information about algebraic graph theory, coding theory, computer algebra, cardinal and ordinate numbers, but also games and puzzles, on the following websites:

Key Publications

1. Arjeh M. Cohen and Gábor Ivanyos, Root ltration spaces from Lie algebras and abstract root groups, J. Algebra 300 (2006), no. 2, 433-454.

2. Hans Cuypers, Extended near hexagons and line systems, Advances in Geometry 4 (2004), 181-214.

3. Aart Blokhuis, László Lovász, Leo Storme, Tamás Szöönyi, On multiple blocking sets in Galois planes, Adv. Geom. 7 (2007), no. 1, 39-53.

4. Jan Draisma and Jochen Kuttler, On the ideals of equivariant tree models, Math. Ann. 344 (2009), no. 3, 619-644.

5. Arjeh Cohen, Hans Cuypers and Rikko Verrijzer, Mathematical Context in Interactive Documents, Mathematics in Computer Science, Volume 3, Number 3, 2010, 331-347.