Celiz, Mark Jason
Approximation theory. Harmonic analysis. Time-frequency analysis. Non-uniform sampling theory. Reproducing kernel Hilbert spaces. Sturm-Liouville operators.
- Optimization and Approximation (member)
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Education
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Dr.rer.nat. Mathematics (2022), mit Auszeichnung bestanden
Universität WienDissertation: Spaces of Functions of Variable Bandwidth Parametrized by Piecewise Constant Functions
Adviser: Univ.-Prof. Mag. Dr. Karlheinz Gröchenig -
MS Mathematics (2015)
University of the Philippines DilimanThesis: Functions in \(L^p(\mathbb{R})\) with Prescribed Time-Frequency Values
Adviser: Prof. Dr. Noli Reyes -
BS Mathematics (2012), Magna Cum Laude
University of the Philippines DilimanThesis: On Nearly Quasi-Einstein Manifolds with Associated Strain Rate Tensor
Adviser: Prof. Dr. Richard Lemence and Prof. Dr. Marian Roque
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Dr.rer.nat. Mathematics (2022), mit Auszeichnung bestanden
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Research
Current projects:
Past projects:
- Project member (Oct-Dec 2020), Austrian Science Fund (FWF) Grant Project P31887-N32: Sampling in spectral subspaces and variable bandwidth
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Teaching
Academic Year 2022-2023 Teaching Load
- Second Semester
- Math 23 (Elementary Analysis III)
- Math 220.1 (Theory of Functions of a Real Variable I)
Current students
- BS Mathematics
Paul Vincent Mejia
Dan Gian Simon Ng
Ken Fritz Arnold Rey (co-adviser: Dr. Velasco) - MS Applied Mathematics (Optimization and Approximation track)
Jensine Nika Francisco (ongoing, co-adviser: Dr. Bargo)
Peter John Burgos (ongoing)
Former students
- BS Mathematics
Alessandra Anne Teruel (2023)
Rusjonell Gerona (2024)
- Second Semester
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Publications
Published work
M.J. Celiz, K. Gröchenig, A. Klotz, Spectral Subspaces of Sturm-Liouville Operators and Variable Bandwidth, J. Math. Anal. Appl., 535(2):128225, 2024.
DOI: https://doi.org/10.1016/j.jmaa.2024.128225.M.J. Celiz, Spaces of functions of variable bandwidth parametrized by piecewise constant functions, PhD thesis, Wien, 2022. Universität Wien, Dissertation.
DOI: 10.25365/thesis.72256, available at https://utheses.univie.ac.at/detail/63252/M.J. Celiz, N. Reyes, Functions in \(L^p(\mathbb{R})\) with prescribed time-frequency values, J. Math. Soc. Phil., Vol 37, Nos. 1-2 (2014), pp. 47-55.
Available at http://mathsociety.ph/matimyas/images/vol37/Reyes.pdfPreprints