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, Combinatorics, Coding Theory, and Information Theory, as well as their various applications to communications. For some specific applications under study at the moment, see the list below. We also run the ANTA seminar, and warmly welcome anyone interested to attend!

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

Coding Theory for Distributed Systems
→ Coding theory for federated learning
→ Matroid theory and applications to distributed systems
→ Locally repairable codes
→ Regenerating codes
→ Private information retrieval
→ Secure distributed matrix multiplication
→ Device-to-device communications and proximity-based services

Algebraic Lattices for Communications and Cryptography
→ Constructions and cryptanalysis for lattice-based cryptography
→ Lattice codes from number fields and division algebras
→ (Generalized) theta functions and flatness factors
→ Well-rounded lattices
→ Wiretap channels and physical layer security

Publications in databases (by current members and alumni)

ArXiv preprints

IEEE Xplore papers

Current grants

ENCODE: European Network in Coding Theory
MSCA Doctoral Networks 2021, HORIZON-MSCA-2021-DN-01 (#101072316), Coordinator Eimear Byrne (UCD), Aalto Principal Investigators Camilla Hollanti and Ragnar Freij-Hollanti, 01.03.2023 - 28.02.2027

Number-Theoretic Well-Rounded Lattices
Academy of Finland project grant (#351271), Principal Investigator Camilla Hollanti, 01.09.2022 - 31.08.2026

SecFL: Low-Latency Secure and Private Federated Learning
WASP-Aalto collaboration project, Wallenberg AI, Autonomous Systems and Software Program, Aalto Principal Investigators Camilla Hollanti and Ragnar Freij-Hollanti, Chalmers Principal Investigator Alex Graell i Amat, 01.06.2023 - 31.05.2025

Mathematical Foundations of Secure Distributed Computation
Väisälä Fund, Doctoral research grant, Recipient Okko Makkonen, 01.01.2023 - 31.12.2024

Algebraic lattices and applications to security
Magnus Ehrnrooth Foundation, Doctoral research grant, Recipient Rahinatou Yuh Njah, 01.07.2022 - 30.6.2025

Past grants

Analysis and Verification of Post-quantum Cryptography
MATINE project grant, Ministry of Defence (#2500M-0147), Principal Investigators Camilla Hollanti and Chris Brzuska, 01.02.2022 - 31.12.2023

Secure Distributed Computation Schemes with Applications to Digitalized Remote Healthcare
Academy of Finland project grant (#336005), Principal Investigator Camilla Hollanti, 01.01.2021 - 31.12.2023

Quantum Secure Distributed Matrix Multiplication
Emil Aaltonen Foundation, Doctoral research grant, Recipient Matteo Allaix, 01.09.2022 - 31.05.2023

Private Information Retrieval, Private Computation, and Secure Multiparty Computation with Quantum Servers
Aalto University, Academy of Finland PROFI funding (#318937), Recipient Camilla Hollanti, 01.09.2019 - 31.08.2022

Transcendence and Linear Independence Questions
Magnus Ehrnrooth Foundation, Postdoctoral research grant, Recipient Louna Seppälä, 01.08.2019 - 31.07.2020

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

Private Information Retrieval from Distributed Storage Systems
Finnish Cultural Fund, Postdoctoral research grant, Recipient Oliver Gnilke, 01.01.2018 - 31.12.2018

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

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
Väisälä Fund, Doctoral research grant, Recipient 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, Recipient Amaro Barreal,
01.01.2017-30.06.2017

Algebraic and Automorphic Methods in Security
Academy of Finland 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
Finnish Foundation for Technology Promotion, Doctoral research grant, Recipient Amaro Barreal, 01.01.2016 - 31.12.2016

Wireless Caching and Data Distribution with Device-to-Device Communications
Foundation for Aalto University Science and Technology, Doctoral research grant, Recipient 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

Applications of Class Field Theory in Present and Future Multi-User Communications
Academy of Finland project grant (#131745, University of Turku), Principal Investigator Camilla Hollanti, 1.1.2010 - 31.12.2012.
Co-funded with Emil Aaltonen Foundation young researcher project grant 2009 - 2011.