Algebra and Discrete Mathematics
Welcome to the home page of the research area of
Algebra and Discrete Mathematics at Aalto University. Our members conduct research in areas that include algebraic geometry, algebraic statistics, combinatorics, coding theory, cryptography, Lie theory, matrix theory, number theory, and representation theory.
Members
Faculty
Algebra and algebraic geometry
Coding theory and cryptography
Combinatorics
Lie theory and representation theory
Number theory
News
- Rahinatou Yuh Njah Nchiwo won the 3 Minute Thesis competition at the Finnish Quantum Days in September 2024.
- Oscar Kivinen started as an Assistant Professor in September 2023.
Prospective students
Research
We provide
bachelor's,
master's and
doctoral theses topics related to the above areas. The links contain lists of current topics and past theses. Contact the faculty and check their personal webpages for more info.
You are also welcome to take part in any of our
lecture courses related to algebra and discrete mathematics.
Recent publications
Here is the
research output for the Algebra and Discrete Mathematics area. On this site you can also find the research output of individuals and links to full texts of articles when available. For preprints check the
math arxiv and individual homepages.
Scientific events
Seminars
Upcoming seminars
- 11.9. 15:15 Dr. Padraig Ó Catháin: Monomial groups and combinatorial matrices – M3 (M234)
D. G. Higman observed that the centraliser algebra of a rank 3 permutation group is spanned by the incidence matrix of a strongly regular graph on which the permutation group acts by automorphisms. Quite generally, incidence matrices of combinatorial structures invariant under a permutation group are contained in the centraliser algebra of the corresponding permutation representation.
In this talk, I will explain how monomial representations act on matrices of combinatorial interest with entries in a finite subset of $\mathbb{C}$. I will explain how central extensions, character sums and Gröbner basis techniques can be combined to classify complex Hadamard matrices with sufficiently rich automorphism groups. The talk will require knowledge only of elementary group theory and linear algebra. This is joint work with Santiago Barrera-Acevedo, Heiko Dietrich and Ronan Egan.
Algebra and Discrete Mathematics at Aalto is supported by
Page content by: webmaster-math [at] list [dot] aalto [dot] fi
