Research

Research Interests

My research interests lie at the intersection of harmonic analysis, number theory, spectral theory, and partial differential equations. I am particularly drawn to exploring the interplay between these fields, focusing on how analytical methods can shed light on deep structures within mathematics. My work aims to address fundamental questions while uncovering connections between theoretical concepts and their applications.

Publications

• L. Roberti and E.Stefanescu, Global-in-time existence, uniqueness and stability of sulotions to a model of the antarctic circumpolar current - Discrete and Continuous Dynamical Systems, Volume 49, 2026
• E. Stefanescu, On the maximal volume of empty convex bodies amidst multivariate dilates of a lacunary integer sequence - Mathematische Zeitschrift, Volume 311, 2025.
• E. Stefanescu, The dispersion of dilated lacunary sequences, with applications in multiplicative Diophantine approximation - Advances in Mathematics, Volume 461, 2025.
• E. Stefanescu, The atmospheric Ekman spiral for piecewise uniform eddy viscosity - Physica Scripta, Vol. 99, No. 9, 2024.

Preprints

• E. Stefanescu, Resolvent bounds and eigenvalue estimates of generalized Schrödinger operators with complex potentials on compact manifolds - arXiv:2609.10127.
• J.-C. Cuenin, K. Merz, E. Stefanescu, Random Schrödinger operators on manifolds and abstract bounds for multiplier-type operators - arXiv:2606.19075.
• M. Hauke, A. Shubin, E. Stefanescu, and A. Zafeiropoulos, Circle coverings driven by arithmetic sequences: a percolation approach to Diophantine approximation and fractal intersections - arXiv:2604.02005.
• E. Stefanescu, Eigenvalue bounds for non-self-adjoint Schr\"odinger operators and pseudodifferential generalizations - to appear in SEMA SIMAI SPRINGER Series.
• C. Puntini, L. Roberti, and E. Stefanescu, On large-scale oceanic wind-drift currents - to appear in Journal of Fluid Mechanics.
• I. Berkes, E. Stefanescu, and R.F. Tichy, Lacunary Series, Nonlinear Functionals and Banach Space Structure - to appear in Studia Mathematica.



All my publications and preprints can also be found on Research Gate

Curriculum Vitae

You can download my Curriculum Vitae here.