Mads Sielemann Jakobsen / mads.jakobsen [at] desy.de
Current employment:
I am working on Computational Photon Science in Hamburg as a Postdoc at the Center for Data and Computing in Natural Sciences
and at DESY Photon Science - Scientific Computing together with Anton Barty and Thomas White
Past employment:
2019-2022 | 2y7m C++/CUDA Software Engineer at Weibel Scientific A/S in Allerod, Denmark
2018-2019 | 3m Researcher at the Norwegian University of Science and Technology in Trondheim with Franz Luef and his group
2018 | 5m research stay at the Numerical Harmonic Analsysis Group at the University of Vienna with Karlheinz Gröchenig and Hans Georg Feichtinger
2016-2018 | 2y ERCIM PostDoc Fellowship at the Norwegian University of Science and Technology in Trondheim with Franz Luef and his group
2008-2016 | 8y Bachelor, Master and PhD in Applied Mathematics at the Technical University of Denmark, Kongens Lyngby, Denmark with Ole Christensen and Jakob Lemvig
Interests:
single particle imaging, time frequency analysis, gabor analysis, shearlet analysis, wavelet analysis, abstract harmonic analysis, modulation spaces, feichtinger algebra, function spaces on general locally compact abelian groups, p adic analysis, C++, Python, High Performance Computing
Publications:
2022 | arxiv | with Hans G. Feichtinger, The inner kernel theorem for a certain Segal algebra, accepted in Monatshäfte für Mathematik
2021 | journal | arxiv | with Franz Luef, Duality of Gabor frames and Heisenberg modules, Journal of Noncommutative Geometry
2020 | journal | arxiv | with Ludwik Dabrowski, Giovanni Landi, and Franz Luef, Solitons of general topological charge over noncommutative tori, Reviews in Mathematical Physics
2020 | journal | arxiv | with Hans Georg Feichtinger, Distribution theory by Riemann integrals, in Mathematical Modelling, Optimization, Analytic and Numerical Solutions
2020 | journal | arxiv | with Are Austad and Franz Luef, Gabor Duality Theory for Morita Equivalent C*-algebras, International Journal Of Mathematics
2019 | journal | arxiv | with Franz Luef, Sampling and periodization of generators of Heisenberg modules, International Journal of Mathematics
2019 | journal | with Ulrik B. R. Enstad and Franz Luef, Time-frequency analysis on the adeles over the rationals, Comptes Rendus Mathematique, 357(2), p. 188-199
2018 | journal | On a (No Longer) New Segal Algebra: A Review of the Feichtinger Algebra, J. Fourier Anal. Appl., p.1-82,
2017 | with Marcin Bownik, Jakob Lemvig, and Kasso Okoudjou, On Wilson Bases in L2(Rd), SIAM J. Math. Anal., 49(5), 3999-4023
2017 | with Yavar Khedmati, Approximately dual and perturbation results for generalized translation-invariant frames on LCA groups, Int. J. Wavelets Multiresolt. Inf. Process., Vol. 16, No. 03, https://doi.org/10.1142/S0219691318500170
2016 | with Jakob Lemvig, Reproducing formulas for Generalized Translation Invariant Systems on Locally Compact Abelian Groups, Trans. Amer. Math. Soc., 368, 8447-8480
2016 | with Jakob Lemvig, Density and duality theorems for regular Gabor frames, J. Funct. Anal., 270, no. 1, p. 229-263.
2016 | with Jakob Lemvig, Co-compact Gabor systems on Locally Compact Abelian Groups, J. Fourier Anal. Appl., 22(1), p. 36-70.
2011 | with Ole Christensen, Raekkefremstillinger i L2(R)$ frembragt af trigonometriske funktioner. Nordisk Matematisk Tidskrift (Normat)}}, 59, Nr. 1, p. 22-43.
2011 | with Ole Christensen, Dual pairs of Gabor frames for trigonometric generators without the partition of
unity property. Asian-Eur. J. Math., Vol. 4, No. 4, p. 589-603.