Willem A. de Graaf

Dipartimento di Matematica
Via Sommarive 14
I-38123 Povo (Trento)
Italy
e-mail: 

Corsi 2023/2024

• Algebra B
• Algebra A
• Teoria di Galois

Lecture notes

Publications and preprints

Editorial boards:

• Journal of Symbolic Computation .
• Journal of Algebra (section on computational algebra).
• Journal of Computational Algebra .

GAP packages:

• QuaGroup for doing computations with quantum groups.
• singular a GAP interface to Singular (with Marco Costantini).
• LieAlgDB a database of small dimensional Lie algebras (with Serena Cicalò and Csaba Schneider).
• SLA for doing computations with simple Lie algebras.
• LieRing for doing computations with finitely presented Lie rings (with Serena Cicalò).
• CoReLG for doing computations with real Lie algebras and corresponding Lie groups (with Heiko Dietrich and Paolo Faccin).
• A small GAP package for dealing with p-enveloping algebras: penvelope .
• GalCohom a GAP program (so not really a package) to compute Galois cohomology of real linear algebraic groups.

Magma programs

• Little Weyl groups of θ-groups.
• Units of cyclotomic fields and integral abelian group rings.
• Generators of arithmetic groups corresponding to diagonalisable, unipotent and solvable algebraic groups.

Meetings

• Lie Algebras, their Classification and Applications , Trento 2005.
• The 11th Rhine Workshop on Computer Algebra in Levico Terme (June 16-20, 2008).
• Lie Methods in Group Theory , Trento November 28, 2008.
• Symmetric Spaces and their Generalisations in Levico Terme (June 14-18, 2010).
• Group Theory in Trento 2012 (7-8 June 2012).
• Symmetric Spaces and their Generalisations II (25-29 June 2012).
• MEGA 2015 in Trento (15-19 June 2015).
• Symmetric Spaces and their Generalisations III (25-29 September 2017).
• Topics in Algebra , A conference in honor of Andrea Caranti and Carlo Maria Scoppola, Trento, 1-2 September 2022.
• Lie Theory: frontiers, algorithms, and applications Monash Prato Centre, 10-13 January 2023.
• Frontiers of Lie Theory: Computational Aspects and Applications , Banach Center, Będlewo, 28 September - 4 October 2025.