• P.O. Box 513, Department of Mathematics and Computer Science

    5600 MB Eindhoven

    Netherlands

  • 463 Citations
1987 …2018
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Personal profile

Research profile

Hans Cuypers is a Full Professor in the Department of Mathematics and Computer Science at Eindhoven University of Technology (TU/e). His main mathematical interests are in discrete algebra and geometry, in particular in (finite) geometry, group theory, graph theory, design theory, algebraic combinatorics, abstract and applied algebra and computer algebra. His areas of expertise further include Technology enhanced Education of Mathematics and Science . Since 2009, Hans has been leading the Discrete Algebra and Geometry group at TU/e. Moreover, he has been active in the introduction and implementation of various forms of blended learning at the university.

Academic background

Hans Cuypers studied mathematics at the Katholieke Universiteit Nijmegen where he obtained his MSc in 1983. Following this, he held a position at the University’s mathematics department. In 1989, he obtained a PhD from the University of Utrecht.

During the academic year 1989-1990 he was a visiting Assistant Professor at Michigan State University. The following year, he held an Assistant position in Kiel (Germany).

He has been involved in a wide variety of national as well as European projects on the development of software for, and creation and use of digital content for mathematics teaching. Hans has (co-)organized a large number of meetings and workshops on mathematics, algebra and algorithms, as well as on e-learning of mathematics. Hans also works as an editor and reviewer (NAW, Innovations in Incidence Geometry, International Journal of Educational Technology in Higher Education).

Fingerprint Dive into the research topics where F.G.M.T. (Hans) Cuypers is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Lie Algebra Mathematics
mathematics Social Sciences
Transposition Mathematics
Line Mathematics
Linear Space Mathematics
Simple Lie Algebra Mathematics
One-point Extension Mathematics
Generalized Hexagon Mathematics

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Research Output 1987 2018

3 Downloads (Pure)

A geometric characterization of the classical Lie algebras

Cuypers, H. & Fleischmann, Y., 15 May 2018, In : Journal of Algebra. 502, p. 1-23 23 p.

Research output: Contribution to journalArticleAcademicpeer-review

Lie Algebra
Roots
Isomorphism
Line

A geometric characterization of the classical Lie algebras

Cuypers, H. & Fleischmann, Y., 7 Jul 2017, In : arXiv. 25 p., 1707.02084.

Research output: Contribution to journalArticleAcademic

Open Access
File
Lie Algebra
Roots
Subspace
Isomorphism
Line

A geometric characterization of the symplectic Lie algebra

Cuypers, H. & Fleischmann, Y., 7 Jul 2017, In : arXiv. 2017, 28 p., 1707.02095.

Research output: Contribution to journalArticleAcademic

Open Access
File
Lie Algebra
Simple Lie Algebra
Commute

On some subgroups of linear groups over $\mathbb{F}_2$ generated by elements of order $3$

Cuypers, H., 7 Jul 2017, In : arXiv. 2017, 21 p., 1707.02097.

Research output: Contribution to journalArticleAcademic

Open Access
File
Linear Group
Subgroup
Conjugacy class
Commutator
Vector space

The geometry of hyperbolic lines in polar spaces

Cuypers, H., 7 Jul 2017, In : arXiv. 2017, 24 p., 1707.02099.

Research output: Contribution to journalArticleAcademic

Open Access
File
Polar Space
Line
Group Theory
Linear Space
Graph theory

Courses

Algebraic combinatorics

1/09/14 → …

Course

Calculus variant 1

1/09/12 → …

Course

Calculus variant 2

1/09/11 → …

Course

Calculus variant 3

1/09/12 → …

Course

Discrete mathematics

1/09/15 → …

Course

Student theses

A characterization of the special linear and unitary Lie algebra via its extremal geometry

Author: Oostendorp, M., 31 Aug 2018

Supervisor: Cuypers, F. (Supervisor 1)

Student thesis: Master

File

A group-theoretical analysis of solvability, solutions and solution strategies of permutation puzzles

Author: Rijpert, D. T., 15 Aug 2019

Supervisor: Cuypers, H. (Supervisor 1)

Student thesis: Bachelor

File

Analyse van antwoorden met behulp van een CAS

Author: Ballemans, K., 2013

Supervisor: Cuypers, F. (Supervisor 1)

Student thesis: Bachelor

File

Generalized polygons, near polygons and line systems

Author: Rusch, A., 25 Jun 2018

Supervisor: Cuypers, F. (Supervisor 1)

Student thesis: Master

File

Lie algebra and geometries

Author: Heng, Y., 30 Aug 2019

Supervisor: Cuypers, H. (Supervisor 1)

Student thesis: Master

File