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.
Open positions
Members
Faculty
Algebra and algebraic geometry
Coding theory and cryptography
Combinatorics
Lie theory and representation theory
Number theory
News
- 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
Upcoming
Seminars
Upcoming seminars
- 16.10. 14:15 Sergej Monavari (EPFL): TBA – M2 (M233)
TBA
- 16.10. 16:15 Tapani Matala-aho: An analogue of Siegel's determinant – M3 (M234)
The Siegel-Shidlovskii theory is a powerful method for studying transcendence and algebraic independence questions of analytic functions, in particular, of E-functions including entire hypergeometric series.
A crucial step in this method involves a non-vanishing proof for the determinants attached to the linear forms, derivatives of an auxiliary function L(t). Instead of the usual derivative D we use the derivative tD.
We give a short proof for the non-vanishing of modified determinants for a class of differential equations including a subclass of hypergeometric differential equations. As a corollary we get an irreducible criterion for the corresponding differential operator. Further, by some basics from differential modules we prove a converse statement.
- 29.10. 15:15 Petteri Kaski: TBA – M2 (M233)
TBA
- 5.11. 15:15 Lizao Ye: TBA – M2 (M233)
TBA
- 6.11. 16:15 Prof. Anne-Maria Ernvall-Hyțnen (U. Helsinki): TBA РM3 (M234)
- 19.11. 15:15 Milo Orlich: TBA – M2 (M233)
TBA
- 26.11. 15:15 Alex Takeda: TBA – M2 (M233)
TBA
- ANTA Seminar
- There are also number theory seminars at both at Turku and Helsinki.
Algebra and Discrete Mathematics at Aalto is supported by
Page content by: webmaster-math [at] list [dot] aalto [dot] fi
