I am a university assistant and project leader at the Faculty of Mathematics of the University of Vienna.
My main interests of research include (but are not limited to) Gabor frames, lattices and special functions as well as extremal geometric problems in (harmonic) analysis. I am especially interested in the investigation of Gaussian Gabor frames and extremal frame bounds. However, I am also working on related problems such as the study of theta functions on lattices, heat kernel on tori and energy minimization problems.
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[08.03.2021]
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Project Start
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My project Inside the Frame Set (P33217) started on March 1, 2021.
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[25.11.2020]
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Accepted Article
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The article On the optimality of the rock-salt structure among lattices with charge distributions (joint work with L. Bétermin and H. Knüpfer) has been accepted for publication in Mathematical Models and Methods in Applied Sciences.
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[17.11.2020]
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Vacant Position
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There is an open postdoc position in my project Universal Optimality of the Hexagonal Lattice. The link to the job announcement (German and English available) is here 
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[28.10.2020]
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Project Start
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My project Universal Optimality of the Hexagonal Lattice (TAI6) started on October 1, 2020.
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[30.09.2020]
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Accepted Article
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The article Some Curious Results Related to a Conjecture of Strohmer and Beaver has been accepted for publication in Analysis and Applications.
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[10.08.2020]
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New Preprint
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The preprint Maximal Theta Functions - Universal Optimality of the Hexagonal Lattice for Madelung-Like Lattice Energies (joint work with L. Betermin) is available on arXiv and in the Publications section
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[03.07.2020]
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New Project
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My new project called Universal Optimality of the Hexagonal Lattice has been granted by the Austrian Science Fund (FWF). Once started, it will run for 2 years and include a position for a PostDoc. The project is listed as TAI 6 in the project finder .
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[26.04.2020]
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New Preprint
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The preprint On the optimality of the rock-salt structure among lattices with charge distributions (joint work with L. Betermin and H. Knüpfer) is available on arXiv and in the Publications section
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[23.04.2020]
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New Position
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Since April 1 I am substituting a professorship at RWTH Aachen University.
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[16.03.2020]
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New Project
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My new project called Inside the Frame Set has been granted by the Austrian Science Fund (FWF). Once started, it will run for 4 years and includes positions for a PhD student and a PostDoc. The project is listed as P 33217 in the project finder .
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[20.02.2020]
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Accepted Article
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The article Extremal Determinants of Laplace-Beltrami Operators on Rectangular Tori has been accepted for publication in Mathematische Zeitschrift. The accepted version is also available in the Publications section.
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[27.11.2019]
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Accepted Article
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The article On the Parity under Metaplectic Operators and an Extension of a Result of Lyubarskii and Nes has been accepted for publication in Results in Mathematics. The accepted version is also available in the Publications section.
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[29.10.2019]
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Accepted Article
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The article An Application of Hypergeometric Functions to Heat Kernels on Rectangular and Hexagonal Tori and a "Weltkonstante" - Or - How Ramanujan Split Temperatures has been accepted for publication in The Ramanujan Journal. The accepted version is also available on arXiv and in the Publications section.
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[27.08.2019]
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Accepted Article
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The article An Extremal Property of the Hexagonal Lattice has been accepted for publication in Journal of Statistical Physics. The free online version is available here .
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[01.08.2019]
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New Position
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I started my new position as university assistant at the Faculty of Mathematics today.
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[13.05.2019]
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Accepted Conference Paper
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The conference paper The Strohmer and Beaver Conjecture for Gaussian Gabor Systems - A Deep Mathematical Problem (?) 
has been accepted for publication in the proceedings of
SampTA 2019
.
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[18.03.2019]
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New arXiv Preprint
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The preprint An Extremal Property of the Hexagonal Lattice is available in the publications section and on arXiv.org. .
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[18.12.2018]
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New Preprint
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The preprint An Application of Hypergeometric Functions to Heat Kernels on Rectangular Tori and a "Weltkonstante" is available in the publications section.
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[27.11.2018]
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New Preprint
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The preprint On the Parity under Metaplectic Operators and an Extension of a Result of Lyubarskii and Nes is available in the publications section.
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[02.11.2018]
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@NuHAG
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My Schrödinger fellowship continues at NuHAG, Faculty of Mathematics of the University of Vienna.
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[09.10.2018]
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Perler Seminar
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My research stay at NTNU Trondheim is almost over, but before saying goodbye I will give a talk in the forum for matematiske perler (og kuriositeter) [forum for mathematical pearls (and curiosities)]. The talk, with the title The ubiquitous constant and its siblings, will be held on October 19, 2018 (12:15-13:00) and will give an overview on some of my findings during my Erwin-Schrödinger fellowship (so far).
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[08.08.2018]
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New Preprint
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The preprint Some Curious Results Related to a Conjecture of Strohmer and Beaver is available in the publications section.
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[11.06.2018]
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Accepted Article
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The article A Short Note on the Frame Set of Odd Functions was accepted for publication in Bulletin of the Australian Mathematical Society.
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[02.06.2018]
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Accepted Article
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The article Gaussian Distributions and Phase Space Weyl-Heisenberg Frames (joint work with Maurice de Gosson and David Rottensteiner) was accepted for publication in Applied and Computational Harmonic Analysis.
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[18.04.2018]
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ArXiv Replacement
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The preprint Extremal Determinants of Laplace-Beltrami Operators for Rectangular Tori replaces the the preprint Properties of Logarithmic Derivatives of Jacobi's Theta Functions on a Logarithmic Scale. It is available in the publications section and on arXiv.org.
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[13.03.2018]
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Dies Academicus 2018
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I am happy to announce that my doctoral thesis was honored with a Doc Award in course of the celebrations of Dies Academicus 2018.
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[03.10.2017]
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ArXiv Preprints
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The preprint A Short Note on the Frame Set of Odd Functions is available via arXiv.org.
The preprint Properties of Logarithmic Derivatives of Jacobi's Theta Functions on a Logarithmic Scale is available via arXiv.org.
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[18.09.2017]
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New Preprint
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The preprint Properties of Logarithmic Derivatives of Jacobi's Theta Functions on a Logarithmic Scale is available in the publications section.
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[23.08.2017]
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ArXiv Preprint
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The preprint Gaussian Distributions and Phase Space Weyl-Heisenberg Frames (joint work with Maurice de Gosson and David Rottensteiner) is available via arXiv.org.
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| [19.07.2017]
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| @NTNU from August 1, 2017
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I will start my new project A "Weltkonstante" in Time-Frequency Analysis at the NTNU in Trondheim, Norway on August 1, 2017.
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| [03.07.2017]
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| Erwin-Schrödinger Fellow
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I am happy to announce that I was awarded an Erwin-Schrödinger fellowship by the Austrian Science Fund (FWF ). The project runs under the number J 4100 (project finder ) and is called A "Weltkonstante" in Time-Frequency Analysis. It will be carried out at the NTNU in Trondheim, Norway (15 months) and at the University of Vienna, Austria (9 months).
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| [21.06.2017]
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| Presentation of Conference Paper
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Monika Dörfler will present our joint conference paper Multi-Window Weaving Frames on July 5, 2017 at SampTA 2017 (General Session VII).
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| [08.06.2017]
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| Slides
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The slides of my talk Extremal Problems in Complex and Harmonic Analysis at the Politecnico di Torino (ATFA 2017) are available via the NuHAG website. (including some additional material at the end)
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| [26.05.2017]
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| Talk
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I will give a talk on June 7 at the conference "Aspects of Time-Frequency Analysis" (ATFA 2017) at the Politecnico di Torino. The title of the talk is Extremal Problems in Complex and Harmonic Analysis and an abstract can be found here.
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| [12.05.2017]
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| ArXiv Preprint
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A preprint version of the conference paper Multi-Window Weaving Frames (joint work with Monika Dörfler) is now also available via arXiv.org.
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| [09.05.2017]
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| Revised Version
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The revised version of the conference paper Multi-Window Weaving Frames (joint work with Monika Dörfler) is available in the publications section.
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| [03.05.2017]
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| Slides
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The slides of my talk (Some Extremal Problems in Analysis and a "Weltkonstante") are available in the activities section.
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| [20.04.2017]
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| Talk
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I will give a talk on Some Extremal Problems in Analysis and a "Weltkonstante" at Yale University, Friday, April 28, 4:15pm (16:15) (room: LOM 206).
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| [18.04.2017]
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| Accepted Article
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The conference paper Multi-Window Weaving Frames (joint work with Monika Dörfler) has been accepted for publication.
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| [10.03.2017]
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| Slides of Defense
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The slides of the defense of my doctoral thesis can be downloaded in the activities section.
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| [01.03.2017]
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| Doktor der Naturwissenschaften
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I am happy to announce that I defended my doctoral thesis with distinction.
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| [23.02.2017]
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| Defense of Doctoral Thesis
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The defense of my doctoral thesis will be on Tuesday, February 28, 2017 at 3:00pm (15:00) in seminar room SR14 (02.312) at the Faculty of Mathematics. The abstract is included in the invitation .
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| [20.02.2017]
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| New Preprint
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Monika Dörfler and I submitted a conference paper for SampTA 2017 called Multi-Window Weaving Frames .
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| [13.02.2017]
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| Published Article
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The article Minimal Frame Operator Norms via Minimal Theta Functions is available online (open access) in the "Journal of Fourier Analysis and Applications".
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| [10.02.2017]
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| Reviews of Doctoral Thesis
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My doctoral thesis was rated excellent ("sehr gut") by both reviewers. The defense of the thesis is scheduled for February 28, 2017 at 3:00 pm (15:00).
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| [13.01.2017]
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| Accepted Article
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The article Minimal Frame Operator Norms via Minimal Theta Functions was accepted for publication in the Journal of Fourier Analysis and Applications.
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| [11.01.2017]
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| Revised Version
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The revised version of Minimal Frame Operator Norms via Minimal Theta Functions is available via arXiv.org.
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| [22.12.2016]
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| Doctoral Thesis
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I submitted my doctoral thesis. If you are interested in reading it, here is the PDF version.
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| [04.10.2016]
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| Final Version
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The final version of the article Optimal Gabor frame bounds for separable lattices and estimates for Jacobi theta functions (joint work with Stefan Steinerberger) is available online. Full access is granted to everybody until November 19, 2016 via this link.
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| [16.08.2016]
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| Published Article
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The article Optimal Gabor frame bounds for separable lattices and estimates for Jacobi theta functions (joint work with Stefan Steinerberger) is available online in the "Journal of Mathematical Analysis and Applications".
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| [04.08.2016]
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| ArXiv Preprint
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The preprint Minimal Frame Operator Norms via Minimal Theta Functions is now available via arXiv.org.
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| [03.08.2016]
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| New Preprint
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The preprint Minimal Frame Operator Norms via Minimal Theta Functions is available in the publications section.
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| [31.07.2016]
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| Accepted Article
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The article Optimal Gabor frame bounds for separable lattices and estimates for Jacobi theta functions (joint work with Stefan Steinerberger) was accepted for publication in the Journal of Mathematical Analysis and Applications.
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