Current Projects
ESPRIT Programme Fellowship (2025 - 2028)
Topics on Stability, Interpolation, and Expansions
Role: Project Lead & Applicant
The project explores three central topics: The development of an asymptotic theory for distributional semigroups; The characterization of interpolation varieties with Hörmander Fréchet algebras of weighted entire functions; The orthonormal expansion of functions with nearly optimal time-frequency decay.
Signals, Operators, and Frames via Time-Frequency Analysis (2025 - 2027)
Multilateral Scientific and Technological Cooperation in the Danube Region
Role: Project Member
The SOFTA project seeks to bridge applied and theoretical mathematics in signal analysis through the innovative framework of Application-Oriented Harmonic Analysis, as developed and promoted by Prof. Hans G. Feichtinger.
Past Projects
Alexander von Humboldt Foundation Research Fellowship (2022 - 2025)
Highly localized windows in time-frequency analysis
Role: Project Lead & Applicant
I pursued further developments on the question of the existence of highly localized windows in the theory of time-frequency analysis, and its relation to the surjectivity of the short-time Fourier transform on discrete sets. Under the supervision of Prof. Jochen Wengenroth.
ESPRIT Programme Fellowship (3 years)
Time-Frequency Representations in Functional Analysis
Role: Project Lead & Applicant
The project aimed to consider three problems: The surjectivity of the short-time Fourier transform on discrete sets; The optimal continuity for the wavelet transform in the context of specified rapid decay in time and scale; Establishing isomorphisms between a large spectrum of subspaces of the Denjoy-Carleman classes and sequence spaces.
Offer declined due to overlapping Humboldt Fellowship.
Research Foundation Flanders (FWO) Junior Postdoctoral Fellowship (2020 - 2024)
Time-Frequency Analysis Methods in Functional Analysis
Role: Project Lead & Applicant
I worked on detecting decay properties using the continuous wavelet transform, sequence space representations for spaces of generalized functions, and the quasiasymptotic behavior of distributions in higher dimensions. Under the supervision of Prof. Jasson Vindas.
Japan Society for the Promotion of Science (JSPS) Postdoctoral Fellowship (1 year)
Wavelet methods for regularity properties and asymptotic behavior of functions
Role: Project Lead & Applicant
The project aimed to characterize the singular support and wave front set of ultradistributions via the local decay of their wavelet transforms. Additionally, we aimed to establish Tauberian theorems in this context. Under the supervision of Prof. Tokio Matsuyama.
Offer declined due to Covid-19 pandemic.