Assoc. Prof. Mirko Tarulli

Mirko Tarulli Di Giallonardo obtained his Ph.D. (Dottorato di Ricerca) in Mathematics at the Department of Mathematics “L. Tonelli” in the University of Pisa, Italy in 2006.
Currently, he is an Associate Professor at the Mathematical Analysis and Differential Equations Department in the Faculty of Applied Mathematics and Informatics at the Technical University of Sofia, Member of the Institute of Mathematics and Informatics at the Section of Differential Equations and Mathematical Physics to the Bulgarian Academy of Sciences, as well as an Academic Visitor at the Mathematics Department in the University of Pisa, Italy.
In 2004 he was a Visiting Assistant Professor in the Institut für Angewandte Analysis at the Technical University Bergakademie in Freiberg, Germany. In the period 2006-2007 he was a Visiting Assistant Professor in the Department of Mathematics and Statistics at the University of Vermont, USA. From 2010 to 2012 he had a two years position as Academic Visitor in the Department of Mathematics at Imperial College London, UK
Mirko Tarulli is the author of over 40 scientific publications and co-author of 3 books. He has participated in more than 50 international conferences, in multiple research projects, among which 6 funded by the EU, and won prestigious grants, such as an INdAM fellowship.
His scientific research has been mainly devoted to the following fields:
• Well-posedness and Scattering Theory for Nonlinear Dispersive Equations with Local and Non-Local nonlinarities
• Existence of solutions in energy space and stability for Maxwell and Schrödinger equations
• A Priori Sobolev Estimates on Riemannian Manifolds with Constant Negative Curvature
• Perturbative Theory for semilinear Wave Equation
• Strichartz Estimates for the Wave Equation and Schrödinger Equation on Riemannian Manifolds
• A Priori Estimates On Riemannian Manifolds With Schwarzchild Metrics
• Smoothing And Strichartz Estimates for the Wave Equation and Schrödinger Equation Perturbed by a Magnetic Potential (Small and Large with respect to suitable norms)
• Wave Equation and Klein-Gordon Equation with Time Depending Perturbation (Resolvent and Microlocal analysis)
• Oscillatory Integrals and Microlocal Analysis
• Singular Integral Operators, Hardy-Littlewood Maximal function and Littlewood-Paley Theory
• Weighted Estimates on Symmetric Spaces and on a Riemannian Manifold
• Well-posedness and Scattering Theory for Nonlinear Dispersive Equations settled on Riemannian Manifold.
• Orbital and Asymptotic stability theory for Nonlinear Dispersive Equations
• Theory of Resonances
• All Aspects of Harmonic Analysis

Mirko Tarulli has taught the following courses:

• Mathematical Analysis I, II, III
• Calculus I, III, IV
• Statistics
• Harmonic Analysis
• Elements of Partial Differential Equations
• Scattering Theory
• Mathematics for Optimization Theory and Big Data Analytics
• Advanced Mathematical Analysis for Applied Sciences