Maria de los Angeles Alfonseca-Cubero -- Publications

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María de los Ángeles Alfonseca-Cubero

Simons Foundation Grant 711907 (Sep. 1, 2020-Aug. 31, 2025)

Past support:

NSF Grant DSM-1100657 (July 1, 2011-June 30, 2015)

Publications:

Characterization of the sphere and of bodies of revolution by means of Larman points (with M. Cordier, J. Jerónimo Castro, E. Morales Amaya), to appear in Adv. Geom.

Un contraejemplo al Problema 19 de Ulam del Cuaderno Escocés (with E. Saorín Gómez), Gac. R. Soc. Mat. Esp., Vol. 26, num. 3 (2023).

Analysis and geometry near the unit ball: proofs, counterexamples, and open questions (with F. Nazarov, D. Ryabogin and V. Yaskin), Harmonic Analysis and Convexity, Adv. in Analysis and Geometry no. 9, De Gruyter, 2023.

A solution to the fifth and eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball, (with F. Nazarov, D. Ryabogin and V. Yaskin), Adv. Math. 390 (2021), October issue.

Uniqueness Results for Bodies of Constant Width in the Hyperbolic Plane, (with M. Cordier and D. Florentin), Adv. Geom. 21 (2021), no. 3, 391–400.

On bodies in R5 with directly congruent projections or sections, (with M. Cordier and D. Ryabogin), Rev. Mat. Iberoam. 35 (2019), no. 6, 1745–1762.

Counterexamples related to rotations of shadows of convex bodies, (with M. Cordier), Indiana Univ. Math. J. 66 No. 1 (2017), 275-296.

On bodies with directly congruent sections and projections, (with M. Cordier and D. Ryabogin), Israel J. Math. 215 (2016), no. 2, 765-799.

On the local convexity of intersection bodies of revolution, (with J. Kim), Canadian Journal of Mathematics 67 (2015), no. 1, 3-27.

Intersection bodies that are not polar zonoids: A flat top condition in dimensions 4 and 6, J. Math. Analysis and Applications 404 (2013), no. 2, 326–337.

Analyticity of layer potentials and $L^2$ solvability of boundary value problems for divergence form elliptic equations with complex $L^\infty$ coefficients, (with P. Auscher, A. Axelson, S. Hofmann, S. Kim), Adv. Math. 226 (2011) 4533-4606.

An extension of a result by Lonke to intersection bodies, J. Math. Analysis and Applications 371 (2010), no.1, 146-157.

Strong type inequalities and an almost-orthogonality principle for families of maximal operators along directions in R2, J. London Math. Soc. (2) 67 (2003), 208-218.

A remark on maximal operators along directions in R2, (with F. Soria and A. Vargas) Math. Res. Lett. 10 (2003), no. 1, 41-49.

An almost-orthogonality principle in L2 for directional maximal functions (with F. Soria and A. Vargas), Harmonic Analysis at Mount Holyoke, 1-7, Contemp. Math, 320 Amer. Math. Soc. 2003.