Research at the Department of Mathematical Sciences

Research at the Department of Mathematical Sciences

Mathematician writing on blackboard. Photo.

Mathematics is the language of technology and natural science, and an important part of our cultural heritage. It develops continually, and extensive research effort goes into both theoretical and applied mathematics.

Research groups

Research groups


Research activity is mostly oriented towards theoretical studies of algebraic questions, but they also work on more applied topics related to cryptography.


The group's research covers harmonic analysis and complex analysis in one and several variables; applications to geometry, PDEs, and number theory; operator algebras and noncommutative geometry.

Didactics of mathematics

The research area entails empirical research on teaching and learning of mathematics, in higher education as well as in school. Research activities include algebraic thinking, task design, instructional design, and teaching practices in mathematics. There is also on-going research on transition from school to higher education, as well as on developing mathematics and statistics teaching at higher education.

Differential equations and numerical analysis (DNA)

The DNA group does research and education in pure and applied mathematics, with a special focus on theory and numerics for differential equations and optimisation problems.

Geometry & topology

The research in geometry and topology spans problems ranging from fundamental curiosity-driven research on the structure of abstract spaces to computational methods for a broad range of practical issues such as the analysis of the shapes of big data sets.


Research activity includes computational statistics, extreme value theory, design of experiments, reliability analysis, spatial statistics, theoretical statistics, functional genomics, and stochastic and statistical modelling in ecology, evolution and conservation biology.

PhD studies

PhD studies

The PhD programme in mathematical sciences is standardized to 180 credits (3 years). The final plan for the PhD programme is designed in consultation with the candidate, the supervisor and department depending on the subject area for the thesis and the candidate’s needs and preferences.

Vacant positions at NTNU

Mini calevent portlet




Elena Celledoni, Deputy Head of Department for researchProfessor Elena Celledoni
Deputy Head of Department (Research)


Strategic research areas

Strategic research areas

Data science extracts knowledge and understanding from data using a combination of approaches from statistics, mathematics, computer science, physics, engineering as well as domain-specific knowledge.

Digital twins are a virtual representations of a physical asset enabled through data and simulators for real-time prediction, monitoring, control and optimization of the asset for improved decision making throughout the life cycle of the asset and beyond.

Mathematics in technology is a strategic initiative for interdisciplinary research where mathematical sciences are a key enabling technology. We aim to communicate the importance of mathematics in society.

Research centre collaboration

Research centre collaboration

Applied Cryptology Lab

The Applied Cryptology Lab (NaCl) is a platform for research activity in cryptology, aiming for mutual scientific inspiration and coordination, interaction with other research groups, international cooperation and projects with industry and other partners.

The research questions and findings are relevant to the broader context of current and future challenges of the networked information society: Secure telecommunications and networked services with functionality for authenticity, confidentiality, integrity, availability, privacy, and verifiability of communications.

FME NorthWind

NorthWind (Norwegian research centre on wind energy) is a centre for environment-friendly energy research (FME) that brings forward outstanding research and innovation to reduce the cost of wind energy, facilitate its sustainable development, create jobs and grow exports.

Centre for Biodiversity Dynamics

The Centre for Biodiversity Dynamics (CBD) is an interdisciplinary centre at NTNU for research into changes in time and space of biological diversity at different organismal levels. Main research areas:

  • population dynamics
  • evolutionary biology
  • community dynamics

Centre for Geophysical Forecasting

The Centre for Geophysical Forecasting (CGF) is a research-based innovation centre (SFI) funded by the Norwegian Research Council, industrial partners and NTNU. It will build on the foundation of Norway's extensive existing geophysical skills and experience to apply methods and ideas that have been developed in oil and gas to areas such as transport, safety and better mapping of the earth's crust. It will also construct new and more effective tools and develop new methods for:

  • monitoring and predicting CO2 storage, landslides and avalanches
  • mapping life and geophysical events at sea and near the seabed
  • sustainable and environmentally responsible oil and gas production


The Centre for Research, Innovation and Coordination of Mathematics Teaching (MatRIC) is working for excellence in teaching mathematics in Norwegian universities and university colleges. MatRIC focuses on mathematics teaching and learning within the study programmes of other subjects such as engineering, natural sciences, economics and teacher education.

Research projects

Research projects

Research and development projects
Abbreviation Project Framework Contact
Fourmula Fourier Methods and Multiplicative Analysis FRIPRO (NFR) Kristian Seip
IMod Partial differential equations, statistics and data: An interdisciplinary approach to data-based modelling Stort tverrfaglig forskerprosjekt (NFR), 2022–2028 Mats Ehrnström
  Norwegian Graduate School in Mathematics and Science Education Nasjonale forskerskoler (NFR) Frode Rønning
  Realistic Cryptography for Large-scale Applications FRINATEK (NFR), 2021–2025 Jiaxin Pan
ARTaC Applications of reduction techniques and computations in representation theory FRINATEK (NFR), 2020–2024 Aslak Bakke Buan
MASCOT Maritime autonomous sampling and control IKT PLUSS (NFR), 2020–2024 Jo Eidsvik
GAMES Geophysics and applied mathematics in exploration and safe production PETROMAKS2 (NFR), 2019–2024 Jo Eidsvik
WaPheS Wave phenomena and stability – a shocking combination FRIPRO Young Research Talent (NFR), 2019–2024 Katrin Grunert
MARTA Matematikk som redskap for tanken NTNU Toppundervisning, 2021–2023 Frode Rønning
  Statistikk for ingeniører NTNU Toppundervisning, 2021–2023 Thea Bjørnland
CONWIND Research on smart operation control technologies for offshore wind farms ENERGIX (NFR), 2020–2023 Trond Kvamsdal
CiviMatics Interdisciplinary mathematical modelling meets civic education Erasmus+ Strategic partnership, 2020–2023 Heidi Strømskag
THREAD Joint training on numerical modelling of highly flexible structures for industrial applications Horizon 2020: European Training Network, 2019–2023 Elena Celledoni
COMAN Combinatorial methods in analysis FRIPRO Toppforsk (NTNU/NFR), 2018–2022 Kristian Seip
tt-geometry tt-geometry in Trondheim Trond Mohn Foundation, 2018–2022 Drew Heard
SURCVS Secure, usable and robust cryptographic voting systems FRIPRO IKTPLUSS (NFR), 2018–2022 Kristian Gjøsteen
  Transforming Citizen Science for Biodiversity The NTNU Digital Transformation initiative Robert O'Hara
WaNP Waves and nonlinear phenomena FRIPRO Toppforsk (NFR/NTNU), 2015–2021 Helge Holden
  Penalized complexity-priors: a new tool to define default priors and robustify Bayesian models NFR, 2015–2021 Andrea Riebler
TettPÅ Innovative response technology for use in teaching and education. Digital learning areas NTNU Toppundervisning, 2017-2020 Gabrielle Hansen
CHiPS Challenges in preservation of structure Horizon 2020, 2016–2020 Elena Celledoni
ACT! ACTive learning in core courses in mathematics and statistics for engineering education NTNU Toppundervisning, 2017–2020 Frode Rønning
  Representation theory via subcategories FRINATEK (NFR), 2016–2020 Steffen Oppermann
  Knowledge based non-stationary modeling FRIPRO IKTPLUSS (NFR), 2016–2020 Ingelin Steinsland
  Complex analysis and dynamics NFR, 2014–2020 John Erik Fornæss
SPIRIT Structure preserving integrators, discrete integrable systems and algebraic combinatorics NFR, 2013–2020 Brynjulf Owren
  Nonlinear water waves NFR, 2014–2018 Mats Ehrnström
URE Uncertainty in reservoir evaluation NFR, 2013–2018 Henning Omre
DISPDISC Dirichlet series and analysis on polydiscs NFR, 2013–2018 Kristian Seip
  Clusters, combinatorics and computations in algebra NFR, 2013–2018 Aslak Bakke Buan
KTDiM Kvalitet, tilgjengelighet og differensiering i grunnutdanningen i matematikk NTNU Toppundervisning, 2014–2017 Mette Langaas