Welcome!

I’m an applied mathematician working in the rather void intersection of water waves and inverse problems. I currently work as a postdoc at NTNU in Trondheim, Norway.

Currently, I’m very interested in understanding how ocean waves interact with their surroundings, e.g., currents, topography, wind, or internal waves, and how such interactions can be used to extract information about the surroundings from various measurements of the waves.

Also, I’m generally interested in inverse problems, especially related to wave propagation, and I have professional experience with both signal processing and deep learning.

Please don’t hesitate to contact me if you want to collaborate on a research project related to any of these topics!

ORCID

Simula

Contact: adrian.kirkeby@ntnu.no or adrian.kirkeby@gmail.com

Selected Publications

Wave-Current-Bathymetry Interaction Revisited: Modeling, Analysis and Asymptotics (with T. Halsne), 2026, [Pre-print] [PDF]
Imaging of Seabed Topography from the Scattering of Water Waves, Water Waves, 7, 1–33, 2025.
[Journal] [PDF]
Unique continuation for water waves and dispersive multiplier equations, Monatshefte für Mathematik, 206, 857–883, 2024.
[Journal] [PDF]
Feynman’s Inverse Problem, SIAM Review, 66(4), 694–718, 2024.
[Journal] [PDF]

(Someone put this paper under Further reading on the Wikipedia page about Inverse problems!)
Feasibility of acousto-electric tomography (with B. Jensen and Kim Knudsen), Inverse Problems, 40(7), 075007, 2024. [Journal][PDF]

Recent

A first version of the WaCuBa Python module accompanying this paper can be found here. More notebooks and examples will appear soon.

The AI debate continues in Morgenbladet.

Thomas Surowiec and I were interviewed in Forskerforum about AI in mathematics.

Upcoming minitutorial at SIAM Conference on Nonlinear Waves and Coherent Structures 26.5-29.5 2026.

Opinion piece on AI in mathematics in Morgenbladet written together with Thomas Surowiec.

WaterWavesWorkshop Organized at Simula, Oslo, in 2025 together with Eirik Valseth. Next meeting scheduled for 2027.

Lectures on inverse problems for water waves at SINTEF Winter School in Geilo (2025).