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

Algebra

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

Analysis

This research group 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

The 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.

Statistics

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

Conferences and workshops

Conferences and workshops

 

 

Contact

Contact

Robert O'Hara, Deputy Head of Department for researchProfessor Robert O'Hara
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.

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

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.

MaScE

The national graduate school in Mathematics and Science Education (MaScE) primary objective is to nurture the development of research competence among PhD fellows in mathematics education and science education and support their development towards becoming excellent researchers.

Mini calevent portlet

PhD defences

Research projects

Research projects

Research and development projects
Abbreviation Project Framework Contact
BioClima   Horizon Europe (Cluster 6: Food, bioeconomy) Bob O'Hara
GEOHARWeights Geometric and harmonic analysis for weights MSCA Postdoctoral Fellowship
Horizon Europe		 Karl-Mikael Perfekt
Carlos Mudarra
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
REMODEL Research exchanges in the mathematics of deep learning with applications HORIZON-TMA-MSCA-SE, 2024–2027 Brynjulf Owren
PhysML Structure-based machine learning for physical systems IKTPLUSS (NFR), 2023–2026 Elena Celledoni
EDUParadigms Conditions for the transition between paradigms in the teaching of mathematics and other disciplines Ministry of Science and Innovation (Spain), 2022–2026 Heidi Strømskag
ENNCoMath Ethiopian Norwegian network in computational mathematics NORPART 2021/10167, 2022–2026 Anne Kværnø
DynNoise Learning dynamical systems from noisy data IKTPLUSS (NFR), 2022–2025 Elena Celledoni
  Realistic cryptography for large-scale applications FRINATEK (NFR), 2021–2025 Jiaxin Pan
GAMES Geophysics and applied mathematics in exploration and safe production PETROMAKS2 (NFR), 2019–2025 Jo Eidsvik
ARTaC Applications of reduction techniques and computations in representation theory FRINATEK (NFR), 2020–2024 Aslak Bakke Buan
MASCOT Maritime autonomous sampling and control IKTPLUSS (NFR), 2020–2024 Jo Eidsvik
WaPheS Wave phenomena and stability – a shocking combination FRIPRO Young Research Talent (NFR), 2019–2024 Katrin Grunert
THREAD Joint training on numerical modelling of highly flexible structures for industrial applications Horizon 2020: European training network, 2019–2024 Elena Celledoni
CONWIND Research on smart operation control technologies for offshore wind farms ENERGIX (NFR), 2020–2023 Trond Kvamsdal
MARTA Matematikk som redskap for tanken NTNU Toppundervisning, 2021–2023 Frode Rønning
CiviMatics Interdisciplinary mathematical modelling meets civic education Erasmus+ Strategic partnership, 2020–2023 Heidi Strømskag
STAT-ING Statistikk for ingeniører NTNU Toppundervisning, 2021–2023 Thea Bjørnland
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
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