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Faculty of Mathematics

 

I am an Assistant Research Professor at DAMTP, and a member of the Cambridge Hub for Innovative Mathematics in Research and Applications CHiMIRA.

I completed my PhD at the University of Klagenfurt, and have since held postdoctoral positions at the University of Graz and the Max Planck Institute for Solar System Research.

My research lies at the intersection of regularization theory, nonlinear dynamical inverse problems, and data-driven methods. I was awarded the GIP Prize on Inverse Problems for the best PhD thesis in inverse problems across German-speaking countries (2020–2022).

Broadly, I explore:

  • Regularization and novel reconstruction: all-at-one, bi-level, one-shot strategies
  • Partial differential equations: nonlinear, time-dependent, well-posedness
  • Inverse problems in PDEs: parameter estimation, model discovery
  • Machine learning: data-driven physics, discretization by neural networks
  • Data assimilation: real-time estimation, model reference adaptation
  • Passive imaging: random media, correlation-based techniques

My work is inspired by a range of applications:

  • Medical imaging: magnetic particle imaging, Landau-Lifshitz-Gilbert eq.
  • Cell biophysics: traction force microscopy, hyperelasticity, active force densities, Stokes equations
  • Helioseismology: solar differential rotation, viscous-inertial wave modeling
  • Reaction-advection-diffusion: hidden nonlinear laws, Fisher eq., Lane-Emden eq., Zeldovic-Frank-Kamenetskii eq.
  • Aeroacoustic: source detection, optimal experimental design
  • Heat phenomena: inverse heat source, optimal sensor placement

Come take a peek at my personal homepage to see what I’ve been working on!

Publications

On numerical aspects of parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging
TTN Nguyen, A Wald
(2021)
A model reference adaptive system approach for nonlinear online parameter identification
B Kaltenbacher, TTN Nguyen
– Inverse Problems
(2021)
37,
055006
Parameter Identification for the Landau–Lifshitz–Gilbert Equation in Magnetic Particle Imaging
B Kaltenbacher, TTN Nguyen, A Wald, T Schuster
(2021)
377
The tangential cone condition for some coefficient identification model problems in parabolic PDEs
B Kaltenbacher, TTN Nguyen, O Scherzer
(2021)
121
A model reference adaptive system approach for nonlinear online parameter identification
B Kaltenbacher, TTN Nguyen
(2020)
Parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging
B Kaltenbacher, TTN Nguyen, A Wald, T Schuster
(2019)
The tangential cone condition for some coefficient identification model problems in parabolic PDEs
B Kaltenbacher, TTN Nguyen, O Scherzer
(2019)
Landweber-Kaczmarz for parameter identification in time-dependent inverse problems: all-at-once versus reduced version
TNN Tram
– INVERSE PROBLEMS
(2019)
35,
035009
Landweber-Kaczmarz for parameter identification in time-dependent inverse problems: All-at-once versus reduced version
TTN Nguyen
– Inverse Problems
(2019)
35,
035009
Landweber-Kaczmarz for parameter identification in time-dependent inverse problems: All-at-once versus Reduced version
TTN Nguyen
(2019)
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Research Group

Cambridge Image Analysis

Room

FL.03