Algebra, Number Theory, and Applications Research Group

Aalto Math
Members Research profile and projects ANTA seminar ANTA courses News and links


Research areas of interest to the ANTA group include Algebra, Number Theory, Coding Theory, and Information Theory and their various applications to Communications Engineering. For some specific topics under study at the moment, see the list of research themes below. We also run the ANTA seminar and a reading circle on Wednesdays, if you are interested in attening, contact Oliver Gnilke.

If you are interested in writing your BSc or MSc thesis with us, contact Camilla Hollanti.

NB: Camilla Hollanti is on research leave during October 2017 - September 2018. During the leave, she will be affiliated with the Technical University of Münich, via a Hans Fischer fellowship supported and co-funded by TUM-IAS and European Union 7th Framework Programme under grant agreement #291763. The support is gratefully acknowledged.


Current research themes

Space-Time Codes from Algebraic Number Theory
→ 5G wireless systems
→ Single-user and multi-user MIMO
→ Fast-decodable codes
→ Distributed codes
→ Hybrid codes

Distributed Storage Systems (DSSs)
→ 5G networks
→ Physical layer schemes
→ Applications of matroid theory to DSSs
→ Locally repairable codes
→ Capacity, security and privacy in DSSs
→ Device-to-device communications and proximity-based services

Algebraic Physical Layer Network Coding
→ Compute-and-forward relaying
→ Theta functions and flatness factors

Wiretap Channels and Physical Layer Security
→ Theta functions and flatness factors
→ Well-rounded lattices

Applied Discrete Mathematics
→ Applicable algebra
→ Combinatorial designs
→ Finite geometry
→ Codes over rings
→ Lattices
→ Codes for privacy and security

Discrete Methods in Physical Sciences
→ Polyphase perfect sequences and bent functions
→ Multidimensional NMR spectroscopy
→ Error control in physical measurements

Publications in databases

ArXiv preprints

IEEE Xplore papers

Current project grants

Applied Algebra and Number Theory in Robust and Secure Wireless Cloud Storage Systems
Academy of Finland project grant (#276031), Principal Investigator Camilla Hollanti, 01.09.2014 - 31.08.2018

Applied Algebra in Communications Technology
Academy of Finland FiDiPro project grant (#282938), Finland Distinguished Professor Marcus Greferath, Principal Investigator Camilla Hollanti,
01.09.2014 - 31.08.2019

Number-theoretic and combinatorial tools for private and secure cloud services
Academy of Finland ICT 2023 project grant (#303819), Principal Investigator Camilla Hollanti, 01.07.2016 - 30.06.2018

Lattice decoding and lattice codes
Väisälän Rahasto, Doctoral research grant, Principal Investigator Ferdinand Blomqvist, 01.01.2016 - 31.12.2017

Lattice codes for physical layer network coding
Foundation for Aalto University Science and Technology, Doctoral research grant, Principal Investigator Amaro Barreal,
01.01.2017 - 30.06.2017

Past grants

Algebraic and Automorphic Methods in Security
ICT 2023 project grant (#283262), Principal Investigator Camilla Hollanti, 01.07.2014 - 30.06.2016

Algebraic Number Theory for Physical Layer Coding and Distributed Storage
Tekniikan Edistämissäätiö, Doctoral research grant, Principal Investigator Amaro Barreal, 01.01.2016 - 31.12.2016

Wireless Caching and Data Distibution with Device-to-Device Communications
Foundation for Aalto University Science and Technology, Doctoral research grant, Principal Investigator Joonas Pääkkönen,
01.06.2016 - 31.10.2016

Developing Number Theoretic Tools for Wireless Communications and Distributed Storage
Academy of Finland postdoctoral research grant (#268364), Principal Investigator David Karpuk, 01.01.2014 - 31.12.2016