My research interest includes:
affine variety codes -- algebraic
function fields -- algebraic geometry codes -- (asymmetric) quantum
codes --
cryptography --
Gröbner basis theory -- multivariate polynomials -- network coding --
secret sharing -- finite fields -- etc.
Research group:
I am part of the research group Reliable and Secure
communication. For our latest workshop see here.
Current main research project:
I am serving as the principal investigator for the research
project How secret
is a secret?" (2014-2017) supported by The Danish Council for
Independent Research - Natural Science.
I am part of the project SECURE (Secure Estimation and Control Using
Recursion and Encryption). This is a major AAU Interdisciplinary
research project headed by Principal Investigator Rafael
Wisniewski and running in the three years 2018-2020. The members are:
Rafael
Wisniewski, Tom
N. Jensen, Mads
G. Christensen, Maja
H. Bruun, Astrid
O. Andersen, Ignacio Cascudo and
Olav Geil.
Together with Bettina Dahl Søndergaard (Principal Investigator)
and Hans Hüttel we investigate how Problem Based Learning is and can
be used in connection with the Mathematical studies at university
level. Our project "PBL og matematik: Hvordan kan PBL fungere på
universitetets grundfag?" runs in 2018. It received funding from Det
Strategiske Uddannelsesråd, Aalborg University.
CV:
My Curriculum Vitae including extensive lists of publications and
activities can be accessed from
here.
Teaching:
My teaching portfolio (last update ultimo 2017) can be accessed
from here
Popularization
I keep
a homepage
(in Danish)
with information from my talks in highschools and
similar places. I appear in the leading part of a film on error-correcting
codes (in Danish).
Data bases:
In a research project with Casper Thomsen we calculated for
multivariate polynomials
information on the number of zeros of prescribed multiplicity
over any finite grid.
Together with Ali Sepas I maintain a small database of Gröbner bases for
toric ideals. This project grew out of a one week internship
where Ali visited Department of Mathematical Sciences as part of his
teaching obligations in primary school.