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Faculty of Mathematics

 

Career

  • 2013-date: University Lecturer, DAMTP, University of Cambridge, UK
  • 2012-date: Royal Society University Research Fellow, University of Cambridge, UKĀ 
  • 2012: Marie Curie Fellow, University of Vienna Austria
  • 2009 -2012: Junior Research Fellow, University of Cambridge, Homerton College UK
  • 2008 -2009: Von Karman Instructor, California Institute of Technology, USA

Research

Anders is a member of the Department of Applied Mathematics and Theoretical Physics and head of the Applied Functional and Harmonic Analysis research group. His current research interests include but are not limited to Functional Analysis (applied), operator/ Spectral Theory, Compressed Sensing, Mathematical Signal Processing, Sampling Theory, Compressed Sensing, Mathematical Signal Processing, Sampling Theory, Computational Harmonic Analysis, Inverse problems, Medical Imaging, Geometric Intergration, Numerical Analysis, C*- algebras.

Selected Publications

  • A. C. Hansen, On the Solvability Complexity Index, the n-Pseudospectrum and Approximations of Spectra of Operators, J. Amer. Math. Soc. 24, no. 1, 81-124
  • A. C. Hansen, On the approximation of Spectra of linear operators on Hilbert spaces, J. Funct. Anal. 254 no.8, 2092--2126
  • A. C. Hansen, Infinite dimensional numerical linear algebra; theory and applications, Proc. R. Soc. Lond. Ser. A. 466, no.2124, 3539-3559
  • B. Adcock, A. C. Hansen, Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon, Appl. Comput. Harmon. Anal. 32, no.3, 357-388

Publications

Compressed sensing MRI with variable density averaging (CS-VDA) outperforms full sampling at low SNR.
J Schoormans, GJ Strijkers, AC Hansen, AJ Nederveen, BF Coolen
– Physics in Medicine & Biology
(2019)
On the infinite-dimensional QR algorithm
MJ Colbrook, AC Hansen
– Numerische Mathematik
(2019)
143,
1
How to Compute Spectra with Error Control
MJ Colbrook, B Roman, AC Hansen
– Physical review letters
(2019)
122,
250201
On Reconstructing Functions from Binary Measurements
R Calderbank, A Hansen, B Roman, L Thesing
(2019)
97
On the stable sampling rate for binary measurements and wavelet reconstruction
AC Hansen, L Thesing
– Applied and Computational Harmonic Analysis
(2020)
48,
630
Density Theorems for Nonuniform Sampling of Bandlimited Functions Using Derivatives or Bunched Measurements
B Adcock, M Gataric, AC Hansen
– Journal of Fourier Analysis and Applications
(2017)
23,
1311
From Global to Local: Getting More from Compressed Sensing.
AC Hansen, A Bastounis, B Adcock
– SIAM News
(2017)
Sampling from Binary Measurements - on Reconstructions from Walsh Coefficients
A Hansen, L Terhaar
– IEEE Xplore
(2017)
256
Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples
B Adcock, M Gataric, AC Hansen
– Applied and Computational Harmonic Analysis
(2017)
42,
508
On the Absence of Uniform Recovery in Many Real-World Applications of Compressed Sensing and the Restricted Isometry Property and Nullspace Property in Levels
A Bastounis, AC Hansen
– Siam Journal on Imaging Sciences
(2017)
10,
335
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Research Groups

Applied Functional and Harmonic Analysis
Cantab Capital Institute for the Mathematics of Information
Centre for Mathematical Imaging in Healthcare