Former Members
Natalia Accomazzo
Former PhD Student at UPV/EHU
Subsequent position: Postdoctoral fellow at the University of British Columbia
I work on Euclidean Harmonic Analysis. In particular my research interests lie within the area of Calderón-Zygumnd singular integrals, commutators with BMO functions, and directional singular integrals.
Odysseas Bakas
Former postdoctoral researcher at BCAM
Subsequent position: Assistant Professor at University of Patras
My research interests lie in harmonic analysis with emphasis on problems related to endpoint mapping properties and weighted estimates for operators arising in harmonic analysis such as square functions and certain classes of Fourier multiplier operators. I am also interested in classical and abstract Fourier analysis and in particular, in problems related to 'thin' spectral sets, such as Sidon sets.
David Beltran
Former postdoctoral researcher at BCAM.
Subsequent position: Van Vleck Visiting Assistant Professor at the University of Wisconsin-Madison
I'm working on Euclidean harmonic analysis and its interactions with dispersive PDE. Keywords: Fourier multipliers, pseudodifferential operators, Fourier integral operators, maximal functions, Fourier restriction conjecture, decoupling inequalities, local smoothing estimates, Radon transforms, Kakeya conjecture, extremisers for Strichartz estimates, weighted inequalities, sparse operators.
Badreddine Benhellal
Former PhD Student at UPV/EHU
Subsequent position: Postdoctoral fellow
Badreddine's page on research gate
I work on the spectral theory of Dirac Hamiltonian. More precisely, I investigate spectral properties of Dirac operators in presence of a domain.
Marco Bravin
Former postdoctoral researcher at BCAM.
Next position: Post-Doc Fellowship at University Lyon 1
I am mainly interested in problem coming from fluid dynamics, in particular in systems describing fluid-structure interaction and on the study of asymptotic behaviours respect to some small parameters. Recently I have become interested in dissipative PDE in particular to existence result for cubic NLS with irregular initial data.
Gennaro Ciampa
Former postdoctoral researcher at BCAM
Subsequent position: Postdoctoral fellow at Università Statale di Milano
My research interests concern the analysis of PDEs of transport type with rough vector fields, with particular attention to the models deriving from Fluid Dynamics. I have mainly worked on selection, stability and control problems concerning this kind of equations, and recently I have begun to be interested in issues related to the Magnetohydrodynamic system.
Félix del Teso
Former postdoctoral researcher at BCAM.
Subsequent position: Assistant Professor at Universidad Complutense de Madrid
I did my Ph.D. under the supervision of Prof. Juan Luis Vázquez at Universidad Autónoma de Madrid. As a postdoc I have also been working at the Norwegian University of Science and Technology (Norway). My research interests include but are not limited to theoretical and numerical aspects of nonlinear and nonlocal/local partial differential equations. Some of my current projects:
Qualitative aspects of nonlocal equations of porous medium type.
Numerical methods for nonlocal and local equations of porous medium type.
Discretizations of nonlocal operators in bounded/unbounded domains.
Liouville type results for general linear operators satisfying the maximum principle.
Dynamic programming principles for equations involving the p-Laplacian.
Javier Duoandikoetxea
Profesor Catedrático jubilado at UPV/EHU
I work on Fourier analysis, mainly on weighted inequalities for several types of operators (maximal, singular integrals, fractional, Bochner-Riesz) and spaces (Lebesgue, mixed-norm, Morrey).
Daniel Eceizabarrena
Former PhD student at UPV/EHU
Subsequent position: Postdoc at University of Massachusetts Amherst
The project of my thesis was based on the interaction between the Talbot effect and Riemann's non-differentiable function, a rich and surprising relationship based on the Vortex Filament and Schrödinger equations. In particular, I am working on the description of the Talbot effect using the Helmholtz equation and on analytic and geometric features of Riemann's function. I am also investigating on the concept of intermittency and its implications to the above.
Luis Escauriaza
María Ángeles García-Ferrero
Former postdoctoral researcher at BCAM
Subsequent position: Lecturer at Universitat de Barcelona
My research involves PDEs, geometric analysis and mathematical physics. I work on unique continuation properties, Runge-type approximation theorems and inverse problems for local and nonlocal PDEs. I also work on exceptional orthogonal polynomials.
Zhiyuan Geng
Former postdoctoral researcher at BCAM
Subsequent position: Visiting Assistant Professor at Purdue University
My research interests lie in the fields of nonlinear partial differential equations, calculus of variations and geometric measure theory, with a particular emphasis on the analysis of static and hydrodynamic theories of liquid crystals and free boundary problems in fluids and complex fluids.
Dariusz Kosz
Former Postdoctoral researcher at BCAM
Subsequent position: Assistant Professor at Wrocław University of Science and Technology
The area of my research is harmonic analysis with the theory of maximal functions in the first place. During my PhD studies, I investigated the most important properties of the classical Hardy–Littlewood maximal operators associated with various (sometimes non-doubling) metric measure spaces. Among the mentioned properties are:
- a.e. finiteness (dichotomy property for maximal operators),
- general size estimates (strong, weak, and restricted weak type estimates; boundedness between two Lorentz spaces),
- dimension free estimates in the Euclidean setting (weak type (1,1) and strong type (p,p) inequalities),
- regularity (variation of the maximal function).
My recent projects concern the following topics:
- oscillation inequalities for Radon operators and their applications in ergodic theory,
- best constants in the weak and strong type inequalities for maximal operators associated with arbitrary ergodic systems,
- harmonic analysis on the infinite-dimensional torus.
Currently, I am also interested in the Szemerédi-type theorems for polynomial progressions.
Sandeep Kumar
Former PhD Student at BCAM
Subsequent position: Research Scientist at the University College Dublin, Ireland
My research mainly involves topics related to numerical methods of PDE and Schrödinger-type equations. For my PhD thesis, I worked on the vortex filament equation addressing it both theoretically and numerically in different geometrical settings, whereas my MSc thesis was based on mathematical modelling of a biological problem using a coupled reaction-diffusion system. Currently, I am also interested in wavelet-based methods to understand multifractals.
Kangwei Li
Former postdoctoral researcher at BCAM.
Research Professor at Tianjin University
I am working at harmonic analysis, in particular, wavelets, weighted inequalities, and multi-parameter singular integrals.
Xingyu Li
Former postdoctoral researcher at BCAM
My research interest is mainly about nonlinear partial differential equations in mathematical physics. In particular, I focus on the results about global existence, regularity and convergence in kinetic equations of statistical physics (Boltzmann, Landau equation) and fluid mechanics (Navier-Stokes, Prandtl equation).
Sascha Lill
Former PhD student at Tübingen and BCAM
Subsequent position: Postdoctoral Researcher at Università degli Studi di Milano
My Focus lies on investigating quantum dynamics with particle creation and annihilation. Since the start of my PhD in 2018, I am investigating new methods for non-perturbative renormalization, that is, making sense of Hamiltonians from Physics with particle creation and annihilation, that are a priori ill-defined.
Giuseppe Negro
Former postdoctoral researcher at BCAM.
Subsequent position: Postdoctoral researcher at the University of Birmingham
Carl-Valter Pohjola
Former postdoctoral researcher at BCAM.
Carmelo Puliatti
Former postdoctoral researcher at UPV/EHU
Subsequent position: postdoctoral researcher at University of Jyväskylä
My research interests are mostly focused on the interplay of Harmonic Analysis, Partial Differential Equations and Geometric Measure Theory.
In particular, I have been studying the connection of singular integral operators with rectifiability and uniform rectifiability, with applications to elliptic measure.
More recently, I have been investigating geometric problems in the context of Parabolic PDEs.
Eduard Roure Perdices
Postdoc at UPV/EHU
In recent years, I've been working on Harmonic Analysis. More specifically, on Rubio de Francia's extrapolation of multi-variable operators on Lorentz spaces and Sawyer-type inequalities. Nowadays, I'm working on weighted norm inequalities with optimal constants.
Arnab Roy
Former postdoctoral researcher at BCAM
My research deals with the problems from nonlinear partial differential equations relating to fluid mechanics, control theory and liquid crystals. In particular, my research focuses on the mathematical analysis (existence, uniqueness, singular limits and long time behaviour of the solutions) and control aspects (controllability, stabilizability) of fluid-structure interaction problems.
Tomás Sanz-Perela
Former postdoctoral researcher BCAM
Subsequent position: Postdoctoral Research Associate University of Edinburgh
I was born in Barcelona. On September 2016, I started my PhD at the Universitat Politècnica de Catalunya (UPC) under the supervision of Xavier Cabré. I obtained my PhD in June of 2019. Currently I am a Postdoctoral Fellow at BCAM. My research interests are elliptic partial differential equations (PDEs) and related topics. In particular, I am interested in
Reaction-diffusion equations and phase transitions.
Integro-differential equations.
Variational problems and regularity of stable solutions.
Local and nonlocal minimal surfaces.
Mathematical modeling with PDEs.
Relativistic quantum physics.
Tomasz Z. Szarek
Former postdoctoral fellow at BCAM
Subsequent position: Assistant Professor at University of Georgia
My mathematical interest focuses mainly on real and Fourier analysis and its applications to other fields of mathematics. During my Ph.D studies I was working mainly on problems related to the area called harmonic analysis of orthogonal expansions. Later on I got interested in spherical analysis. My most recent interests concern discrete harmonic analysis (both commutative and noncommutative) and its applications to ergodic theory.
Sylvain Zalczer
Former post-doctoral researcher at BCAM
I have completed my PhD in Toulon (France) in 2020. I work on spectral theory, I am particularly interested in random Schrödinger operators and the Dirac operator
Christian Zillinger
Former postdoctoral researcher at BCAM
Subsequent position: Junior research group leader at the Karlsruhe Institute of Technology (KIT)
My research interests are in the stability and long-time asymptotics of incompressible inviscid fluids, modeled by Euler's equations. Here I make use of several tools from partial differential equations, differential geometry, the calculus of variations, harmonic and Fourier analysis and the theory of dispersive equations.
Another interest is in convex integration and constructing solutions to differential inclusion arising in material sciences.
Relativistic quantum physics.