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
- Camilla Hollanti and Ragnar Freij-Hollanti, together with their international team, have won an international mathematical challenge launched by GMV in collaboration with Trampoline Network.
- 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
- 1.10. 14:15 Prof. Marcus Greferath (University College Dublin/Aalto): On my Recent Work on Noiseless and Noisy Group Testing (Part I) – M3 (M234)
Group testing is a branch of the mathematics of communications and coding theory that is almost as old as Shannon's information theory itself. It arose from the need to screen populations of potentially infected individuals for an infectious disease with as few tests as possible, since testing was expensive or otherwise cumbersome. Current developments in the field assume that tests may be considerably cheaper but are often affected by false positives and false negatives. This reopens the line of research known as error-correcting group testing. In this talk, we revisit several old and new ideas in the language of residuation theory and show how this framework mitigates some of the awkwardness of earlier approaches to modelling the problem. We conclude the presentation with results on the error tolerance and test efficiency of various examples of error-correcting group testing schemes based on finite geometries, partial linear spaces, and other appealing combinatorial designs.
Remark: This talk is dedicated to my late wife, Cornelia Roessing, who encouraged me to take up this awarding field within the mathematics of communications. It includes joint work with Oliver Gnilke (Aalborg), Johan Dinesen (Aalto), and David Forbes (UCD).
- 15.10. 14:15 Prof. Lenny Fukshansky (Claremont McKenna College): TBA – M3 (M234)
Algebra and Discrete Mathematics at Aalto is supported by
Page content by: webmaster-math [at] list [dot] aalto [dot] fi
