Luz Roncal

Ikerbasque Research Associate, Basque Center for Applied Mathematics (BCAM)

Ikerbasque Research Associate at the Basque Center for Applied Mathematics (BCAM).

Research line:

Harmonic Analysis and Partial Differential Equations.

Grant "Leonardo Fundación BBVA 2017", main researcher of MTM2017-82160-C2-1-P. Since 2020 she has been Ramón y Cajal Researcher. She has received the Award to Young Scientific Female Talent in 2019, by Fundación de la Academia de Ciencias de España (FRACE) and Mastercard. Winner of the contest of scientific essays Ciudad de Oviedo "Las matemáticas de los premiados Princesa de Asturias 2020".

Previous research experience at University of La Rioja (Spain), Polish Academy of Sciences at Wroclaw (Poland), University of Karlstad (Sweden), University of Helsinki (Finland), Mathematisches Forschungsinstitut Oberwolfach (Germany) and Indian Institute of Sciences of Bangalore (India).

PhD in Mathematics (2009) from the University of La Rioja.

2024

Article / Singular integrals along variable codimension one subspaces

Singular integrals along variable codimension one subspaces

Odysseas Bakas, Francesco Di Plinio, Ioannis Parissis, Luz Roncal

Article / On (global) unique continuation properties of the fractional discrete Laplacian

Journal of Functional Analysis

Fernández-Bertolin, A.; Roncal, L.; Rüland, A.

2023

Article / Directional square functions

Anal. PDE

N. Accomazzo, F. Di Plinio, P. Hagelstein, I. Parissis, L. Roncal

Article / Maximal operators on the infinite-dimensional torus

Math. Annalen

D. Kosz, J. Martínez-Perales, V. Paternostro, E. Rela, L. Roncal

Article / Variation bounds for spherical averages

Math. Annalen

D. Beltran, R. Oberlin, L. Roncal, A. Seeger, B. Stovall

Article / Cp estimates for rough homogeneous singular integrals and sparse forms

Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)

J. Canto, K. Li, L. Roncal, O. Tapiola

Article / DIRECTIONAL SQUARE FUNCTIONS

Analysis and PDE

Accomazzo, N.; Di Plinio, F.; Hagelstein, P.; Parissis, I.; Roncal, L.

Article / ENDPOINT ESTIMATES AND OPTIMALITY FOR THE GENERALIZED SPHERICAL MAXIMAL OPERATOR ON RADIAL FUNCTIONS

Communications on Pure and Applied Analysis

Nowak, A.; Roncal, L.; Szarek, T.Z.

Article / Weak-type maximal function estimates on the infinite-dimensional torus

Mathematische Zeitschrift

Kosz, D.; Rey, G.; Roncal, L.

Article / Kato–Ponce estimates for fractional sublaplacians in the Heisenberg group

Bulletin of the London Mathematical Society

Fanelli, L.; Roncal, L.

Article / Maximal operators on the infinite-dimensional torus

Mathematische Annalen

Kosz, D.; Martínez-Perales, J.C.; Paternostro, V.; Rela, E.; Roncal, L.

Article / Carleman type inequalities for fractional relativistic operators

Revista Matematica Complutense

Roncal, L.; Stan, D.; Vega, L.

2022

Article / Carleman type inequalities for fractional relativistic operator

Rev. Mat. Complut.

L. Roncal, D. Stan, and L. Vega

Article / Hardy type inequalities for the fractional relativistic operator

Math. Eng

L. Roncal

Article / Variation bounds for spherical averages

Mathematische Annalen

Beltran, D.; Oberlin, R.; Roncal, L.; Seeger, A.; Stovall, B.

2021

Article / Discrete Carleman estimates and three balls inequalities

Calculus of Variations and Partial Differential Equations

Fernández-Bertolin, A.; Roncal, L.; Rüland, A.; Stan, D.

Article / Bilinear Spherical Maximal Functions of Product Type

Journal of Fourier Analysis and Applications

Roncal, L.; Shrivastava, S.; Shuin, K.

Article / Cp estimates for rough homogeneous singular integrals and sparse forms

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Canto, J.; Li, K.; Roncal, L.; Tapiola, O.

Article / Hardy type inequalities for the fractional relativistic operator<sup>†</sup>

Mathematics In Engineering

Roncal, L.

Article / On the maximal function associated to the spherical means on the heisenberg group

New York Journal of Mathematics

Bagchi, S.; Hait, S.; Roncal, L.; Thangavelu, S.

Article / Quantitative Weighted Estimates for Rubio de Francia’s Littlewood–Paley Square Function

Journal of Geometric Analysis

Garg, R.; Roncal, L.; Shrivastava, S.

2020

Article / An extension problem and trace Hardy inequality for the sub-Laplacian on H-type groups

Int. Math. Res. Not. IMRN

L. Roncal and S. Thangavelu

Article / A Decomposition of Calderón–Zygmund Type and Some Observations on Differentiation of Integrals on the Infinite-Dimensional Torus

Potential Analysis

Fernández, E.; Roncal, L.

Article / Maximal estimates for a generalized spherical mean Radon transform acting on radial functions

Annali di Matematica Pura ed Applicata

Ciaurri, Ó.; Nowak, A.; Roncal, L.

2019

Article / Weighted Norm Inequalities for Rough Singular Integral Operators

Journal of Geometric Analysis

Li, K.; Pérez, C.; Rivera-Ríos, I.P.; Roncal, L.

Article / A1 theory of weights for rough homogeneous singular integrals and commutators

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Perez, C.; Rivera-Rios, I.P.; Roncal, L.

Article / On extension problem, trace hardy and Hardy’s inequalities for some fractional Laplacians

Communications on Pure and Applied Analysis

Boggarapu, P.; Roncal, L.; Thangavelu, S.

2018

Article / Hardy's inequality for the fractional powers of a discrete Laplacian

J. Anal.

Ó. Ciaurri and L. Roncal

2020

Winner of the contest of scientific essays Ciudad de Oviedo "Las matemáticas de los premiados Princesa de Asturias 2020", promoted by Ayuntamiento de Oviedo, la RSME, la Real Academia de Ciencias Exactas, Físicas y Naturales and la Cátedra de Inteligencia Analítica de la Universidad de Oviedo

2019

Premio al Joven Talento Científico Femenino, by Fundación de la Academia de Ciencias de España (FRACE) and Mastercard

2024

Conference Paper | The Frisch–Parisi Formalism for Fluctuations of the Schrödinger Equation

Springer Proceedings in Mathematics and Statistics - Conference Paper

Kumar, S.; Ponce-Vanegas, F.; Roncal, L.; Vega, L.

2023

Invited talk | Wavelet analysis and the Frisch-Parisi formalism for the Schrödinger equation

The Dirac equation - Invited talk

S. Kumar, F. Ponce-Vanegas, L. Roncal, L. Vega

Invited talk | Unique continuation properties for the fractional discrete Laplacian

SIAM Special Session - Joint Mathematics Meetings - Invited talk

A. Fernández-Bertolin, A. Rüland

Invited talk | Landis-type results for discrete equations

Summer School on Unique Continuation and Applications - Invited talk

A. Fernández-Bertolin, D. Stan

Invited talk | Unique continuation: from discrete to continuous

Harmonic Analysis and Differential Equations: New Questions and Challenges. In honour of Luis Vega - Invited talk

A. Fernández-Bertolin, A. Rüland, D. Stan

Invited talk | Fractional discrete Laplacian and unique continuation

Red EDPs no locales y Aplicaciones - Invited talk

A. Fernández-Bertolin, A. Rüland

Invited talk | Landis-type results for discrete operators

Young Researchers in PDEs: 2023 PDEs Thematic Period PDEs ICMAT-UAM - Invited talk

A. Fernández-Bertolin, D. Stan

2022

Conference organization | Joint Meeting APDE - Machine Learning

L. Roncal

Conference organization | Minisymposium "Nonlocal operators and related topics"

8th European Congress of Mathematics - Conference organization

M. d. M. González, L. Roncal, and J. L. Vázquez

Invited talk | Directional square functions

Fourier restriction online 2021 - Invited talk

N. Accomazzo, F. Di Plinio, P. Hagelstein, I. Parissis, and L. Roncal

Invited talk | Directional square functions

V Encuentro Conjunto de la Sociedad Matemática Mexicana (SMM) y la Real Sociedad Matemática Española (RSME) - Invited talk

N. Accomazzo, F. Di Plinio, P. Hagelstein, I. Parissis, and L. Roncal

Invited talk | Estimates for spherical averages

VI Latinoamerican Congress of Mathematicians, CLAM 2021 - Invited talk

D. Beltran, R. Oberlin, L. Roncal, A. Seeger, and B. Stovall

Invited talk | Funciones cuadrado direccionales

VirtUMA 2021 - Invited talk

N. Accomazzo, F. Di Plinio, P. Hagelstein, I. Parissis, and L. Roncal

Invited talk | Nonlocal discrete equations

XIV Congress GAFEVOL 2021 - Invited talk

C. Lizama and L. Roncal

Invited talk | Kato-Ponce estimates for fractional sublaplacians

17th Discussion Meeting in Harmonic Analysis - Invited talk

L. Fanelli, L. Roncal

Invited talk | Fractional discrete Laplacian and (global) unique continuation

Congreso Bienal de la Real Sociedad Matemática Española - Invited talk

A. Fernández-Bertolin, A. Rüland

Invited talk | On (global) unique continuation properties of the fractional discrete Laplacian

Deterministic and stochastic fractional diﬀerential equations and jump processes - Invited talk

A. Fernández-Bertolin, A. Rüland

Invited talk | On (global) unique continuation properties of the fractional discrete Laplacian

MFO-RIMS Tandem Workshop: Nonlocality in Analysis, Probability and Statistics - Invited talk

A. Fernández-Bertolin, A. Rüland

Invited talk | Propiedades de continuación única del laplaciano discreto fraccionario

II Jornada Cantábrica de EDP’s 2022 - Invited talk

A. Fernández-Bertolin, A. Rüland

Invited talk | How I met Michael

Harmonic Analysis and related topics - Celebrating Michael Lacey’s birthday - Invited talk

L. Roncal

Invited talk | Variation bounds for spherical means

2nd Harmonic Analysis workshop in Seoul - Invited talk

D. Beltran, R. Oberlin, L. Roncal, A. Seeger, B. Stovall

Invited talk | XV Congress GAFEVOL 2022

XV Congress GAFEVOL 2022 - Invited talk

A. Fernández-Bertolin, A. Rüland

Invited talk | Weak type maximal operators estimates on the infinite- dimensional torus.

II Encuentro RSME-UMA - Invited talk

D. Kosz, G. Rey, L. Roncal

Oral presentation | Wavelet analysis of the generalized Riemann non-differentiable function

New Bridges between Mathematics and Data Science - Oral presentation

S. Kumar, F. Ponce-Vanegas, L. Roncal, and L. Vega

2020

Conference organization | III Mathematical Analysis days in Logroño BCAM-UR

L. Roncal

Invited talk | In search of inequalities: the extension problem and Helgason conjecture

V Congreso Jóvenes Investigadores RSME - Invited talk

L. Roncal and S. Thangavelu

Invited talk | Hardy's inequality, an extension problem and Helgason conjecture

2nd IMI one-day workshop on PDEs - Invited talk

L. Roncal and S. Thangavelu

2019

Conference organization | Fourth Summer School on Harmonic Analysis and Partial Differential Equations

P. Caro, M. Mourgoglou, I. Parissis and L. Roncal

Invited talk | Quantitative weighted estimates for Rubio de Francia

16th Discussion Meeting in Harmonic Analysis - Invited talk

R. Garg, L. Roncal and S. Shrivastava

Invited talk | On the maximal function associated to the lacunary spherical means on the Heisenberg group

Harmonic Analysis in non-homogeneous settings and applications - Invited talk

S. Bagchi, S. Hait, L. Roncal and S. Thangavelu

2018

Conference organization | 2018 EWM-EMS Summer School at Mittag-Leffler Institute

D. Stan and L. Roncal