Stability of the concentration inequality on polynomials (with J. Ortega-Cerdà)
Commun. Math. Phys. 406 (2025) 112 arXiv
Keywords: localization operator, Wehrl entropy, quantitative estimates, coherent states.
Reconstruction for the Calderón problem with Lipschitz conductivities (with P. Caro and K.M. Rogers)
Analysis & PDE 18:8 (2025) 2033-2060 arXiv
Keywords: inverse problem, reconstruction.
Classification of exceptional Jacobi polynomials (with D. Gómez-Ullate and R. Milson)
Preprint 2024 arXiv
Keywords: exceptional orthogonal polynomials, Darboux transformations, spectral diagrams.
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols (with G. Covi and A. Rüland)
J. Differ. Equ. 341 (2022) 79-149 arXiv
Keywords: inverse problem, nonlocal operators, directional antilocality.
Exceptional Gegenbauer polynomials via isospectral deformation (with D. Gómez-Ullate, R. Milson and J. Munday)
Stud. Appl. Math. 149:2 (2022) 324-363 arXiv
Keywords: exceptional orthogonal polynomials, Darboux transformations, isospectral deformations.
Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation (with A. Rüland and W. Zatoń)
Inverse Probl. Imaging 16:1 (2022) 251–281 arXiv
Keywords: Runge approximation, quantitative unique continuation, partial data inverse problem, stability estimates, high frequency limit.
Exceptional Legendre polynomials and confluent Darboux transformations (with D. Gómez-Ullate and R. Milson)
Symmetry Integr. Geom. 17 (2021) 016 arXiv
Keywords: exceptional orthogonal polynomials, Darboux transformations, isospectral deformations.
On Two Methods for Quantitative Unique Continuation Results for Some Nonlocal Operators (with A. Rüland)
Commun. Part. Diff. Eq. 45:11 (2020) 1512-1560 arXiv
Keywords: nonlocal operators, unique continuation, logarithmic stability, moment problem.
Strong unique continuation for the higher order fractional Laplacian (with A. Rüland)
Mathematics in Engineering 1 (2019) 715-774 arXiv
Keywords: unique continuation, fractional Schrödinger equation, higher order nonlocal operators, Carleman estimates.
Approximation theorems for parabolic equations and movement of local hot spots (with A. Enciso and D. Peralta-Salas)
Duke Math. J. 168 (2019) 897-939 arXiv
Keywords: global approximation theorems, hot spots, nodal sets, parabolic equations.
A Bochner type characterization for exceptional orthogonal polynomials (with D. Gómez-Ullate and R. Milson)
J. Math. Anal. Appl. 472 (2019) 584-626 arXiv
Keywords: exceptional orthogonal polynomials, Darboux transformations, Sturm–Liouville problems, trivial monodromy.
The Biot-Savart operator of a bounded domain (with A. Enciso and D. Peralta-Salas)
J. Math. Pures Appl., 119 (2018) 85-113 arXiv
Keywords: Biot–Savart law, boundary value problems for curl, integral kernel.
Minimal graphs with micro-oscillations (with A. Enciso and D. Peralta-Salas)
J. Differ. Equ. 265 (2018) 3339-3344 arXiv
Keywords: minimal surfaces, level sets, approximation theorems.
Shannon entropy and particle decays (with P. Carrasco Millán, F.J. Llanes-Estrada, A. Porras Riojano and E.M. Sánchez García)
Nucl. Phys. B 930 (2018) 583-596 arXiv
Keywords: Shannon's information entropy, hadron decay chanels.
Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger's equation (with D. Gómez-Ullate)
Lett. Math. Phys. 10 5(2015), 551-573 arXiv
Keywords: Sturm–Liouville problems, Wronskian determinants, classical and exceptional orthogonal polynomials, counting zeros.
The Infinite Square Well with Point Interaction: A Discussion on the Different Parametrizations (with M. Gadella, S. González-Martín and F.H. Maldonado-Villamizar)
Int. J. Theor. Phys. 53 (2014), 1614-1627 arXiv
Keywords: point potentials, self-adjoint extensions.
Expository paper
Cutting-Edge Mathematics. RSME 2022. RSME Springer Series
Conference paper based in turn on previous works with G. Covi, A. Rülando and W. Zatoń.
❅ You can find slides of talks about some of the previous publications here.
❅ Publications can also be consulted in the following research profiles: