This year (2026–2027), I'm helping with the organization of the UCM PhD weekly seminar.
If you are (a PhD student) interested in giving a talk, just send us an email to cdfcmat "at" ucm "dot" es !!
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Jesús Illescas-Fiorito
Jesús Illescas-Fiorito
Since January of 2025, I have been pursuing my PhD at Complutense University of Madrid, supervised by both Pedro Tradacete and Teresa Luque. My main research interest lies within the problem of Phase retrieval, with particular interest in its formulation and treatment in the general context of Banach lattices.
I am also collaborating in the Banach lattice Lean4 library BanLat. See more in https://arxiv.org/pdf/2608.07388.
Email: jillesca ''at'' ucm ''dot'' es
Address: Department of Mathematical Analysis and Applied Mathematics
Plaza de Ciencias, 3
Ciudad Universitaria
28040 - MADRID
Office number: 210
Research group: functionalanalysismadrid.com/#home
Publications & preprints
Publications & preprints
?? 2026. Optimal constants for stable phase retrieval in Banach lattices.
Also, you can take a look at my Master's thesis dissertation, as well as the slides I used during its defense.
Talks & Seminars
Talks & Seminars
━━ 2026 ━━
May 2026. Optimal constants in stable phase retrieval. New Trends in Harmonic Analysis. Abstract.
━━ 2025 ━━
November 2025. Different landscapes for phase retrieval. 7th BYMAT Conference. Poster.
November 2025. Phase retrieval by example. 7th BYMAT Conference. Slides.
June 2025. Duality between AM and AL-spaces. ICMAT Junior Colloquium. Abstract. Some notes.
April 2025. Phase retrieval in Banach lattices. UCM PhD Seminars. Slides.
━━ 2024 ━━
May 2024. SPR subspaces and Kadets-Pełczysńki dichotomy. Research term Lattice Structures in Analysis and Applications, Focus week 1: PR in function spaces. Slides.
April 2024. Kadets-Pełczysńki dichotomy interplay in phase retrieval. Research term Lattice Structures in Analysis and Applications seminars.
━━ 2023 ━━
September 2023. Yudin theorem for Banach lattices. 5th BYMAT Conference. Slides.
Conferences (co-)organized
Conferences (co-)organized
I ColoQuio Estival de Doctorandos
I ColoQuio Estival de Doctorandos
To be written.
Teaching at UCM
Teaching at UCM
━━ 2026 ━━
Teaching assistant in Cálculo integral (Integral calculus), during the Spring semester.
━━ 2025 ━━
Teaching assistant in Análisis de variable real (Analysis in \R), during the Fall semester.
Teaching assistant in Cálculo Integral (Integral Calculus), during the Spring semester.
━━ 2023 ━━
Teaching assistant in Matemáticas Básicas (Basic mathematics), on september.
Extras
Extras
Since September 2025, I have been co-organizing the UCM PhD weekly seminar.
Between March 2025-May 2026 I was part of PIM (Pequeño Instituto de Matemáticas).
Between April-May 2024, I made an (almost negligible) contribution as part of the Organizing Committee of the Research term LSAA, held at ICMAT.
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