Adrián Fidalgo-Díaz

Contact:
Webpage: https://adrianfd22.github.io/

Education

2023-present
PhD in Mathematics advised by Umberto Martínez-Peñas; Universidad de Valladolid.
2021-2022
Master’s degree in Mathematical Research; Universitat de València.
2017-2021
Bachelor’s degree in Computational Mathematics; Universitat Jaume I.

Publications

2025
Eduardo Camps-Moreno, Adrián Fidalgo-Díaz, Umberto Martínez-Peñas, Gretchen L. Matthews. The Clifford defect of a numerical semigroup, https://arxiv.org/abs/2512.04925.
2025
Eduardo Camps Moreno, Adrián Fidalgo-Díaz, Hiram H. López, Umberto Martínez-Peñas, Diego Ruano, Rodrigo San-José. Duals of multiplicity codes. Preprint, https://arxiv.org/abs/2505.14472.
2025
Adrián Fidalgo-Díaz, Umberto Martínez-Peñas. Distributed matrix multiplication with straggler tolerance over very small fields. Designs, codes and cryptography, https://link.springer.com/article/10.1007/s10623-025-01689-7.
2024
Adrián Fidalgo-Díaz, Umberto Martínez-Peñas. Distributed matrix multiplication with straggler tolerance using algebraic function fields. IEEE transactions on Information theory, https://ieeexplore.ieee.org/document/10786350.
2024
Adrián Fidalgo-Díaz, Umberto Martínez-Peñas. Distributed matrix multiplication over small fields with straggler tolerance. EACA, Meetings on Computer Algebra and Applications, https://eventos.ucm.es/104844/section/50597/eaca2024.html.
2024
Adrián Fidalgo-Díaz, Umberto Martínez-Peñas. Distributed matrix multiplication with straggler tolerance using algebraic function fields. IEEE International Symposium on Information Theory, https://cmsworkshops.com/ISIT2024/view_paper.php?PaperNum=1629.

Teaching

2025-2026
TA in Algebraic estructures: group and ring theory. Responsabilities: lecturing once a week and preparing and grading HW assignments and exams.
Supervision of Bachelor’s thesis: Algebra and combinatorics in two-player games.
Member of the reading group for PhD students “Introduction to matroids”. Responsabilities: lecturing once each two months and preparing HW assignments.
Organizer of the reading group for PhD students “Algebraic function fields and codes”. Responsabilities: lecturing twice a month.
2024-2025
TA in Fundamentals of Mathematics: Using Sagemath. Responsabilities: lecturing once a week and preparing and grading HW assignments and exams.
Supervision of Bachelor’s thesis: Applications of the Borsuk-Ulam theorem.
Supervision of Bachelor’s thesis: An introduction to knot theory.
Organizer of the reading group for Master and PhD students “Homological algebra”. Responsabilities: lecturing once a month and preparing HW assignments.
2023-2024
TA in Fundamentals of Mathematics: Using Maple. Responsibilities: lecturing once a week and preparing and grading HW assignments and exams.
TA in Coding theory and cryptography. Responsibilities: lecturing once a week and preparing and grading HW assignments.
TA in Cryptography. Responsibilities: lecturing once a week and preparing and grading HW assignments.

Language skills

Spanish: native.
English: fluent.
French: basic.

Talks and posters

2026
Talk: Clifford defect of a numerical semigroup in XIX EACA.
Talk: Computing the Clifford defect for some numerical semigroups in Congreso Bienal de la Real Sociedad Matemática Española 2026.
2025
Talk: Algorithms for distributed matrix multiplication using codes in the Applied Algebra seminar at Virginia Tech.
Talk: Algorithms for distributed matrix multiplication using codes in the PICS seminar.
Talk: Multiplying matrices using codes at the Graduate Workshop on Linear Algebra over Finite Fields & Applications in ICERM.
Talk: Computing the Clifford defect for some families of semigroups at the International Meeting on Commutative Monoids 2025.
Talk: Distributed matrix multiplication with straggler tolerance using one point algebraic geometry codes at SIAM Conference on Applied Algebraic Geometry (AG25).
Talk: A numerical semigroup problem motivated by decoding AG codes at the Seventh EACA International School on Computer Algebra and its Applications.
Talk: Distributed matrix multiplication using multivariate polynomials at Error-correcting codes and combinatorial structures workshop.
Talk: Distributed matrix multiplication using multivariate polynomials at RSME’s 7th Congress of Young Researchers.
2024
Talk: Multiplicación distribuida de matrices mediante cuerpos de funciones algebraicas at SINGACOM Seminar.
Talk: Distributed matrix multiplication using multivariate polynomials at MatSI, IMAC and Singacom Day on Algebraic Applications to Information Theory.
Talk: Distributed matrix multiplication with straggler tolerance using algebraic function fields at ISIT 2024.
Talk: Distributed matrix multiplication over small fields with straggler tolerance at XVIII EACA.
Talk: Distributed matrix multiplication with straggler tolerance based on polynomial algebras at V jornadas de la red MatSI.
Talk: Numerical semigroup problems motivated by distributed matrix multiplication at the SecureCAT Follow­Up Workshop.
2023
Talk: Distributed Matrix Multiplication with straggler tolerance using one point algebraic geometry codes at V BYMAT conference.
Poster: Distributed matrix multiplication via algebraic-geometric codes at Sixth EACA International School on Computer Algebra and its Applications.

Monographs

2022
Curvas proyectivas monomiales aritméticamente Cohen-Macaulay y el problema del cambio de monedas. Master’s thesis, supervised by Francisco Monserrat and Julio José Moyano-Fernández.
2021
Semigrupos numéricos supersimétricos. Bachelor’s thesis, supervised by Julio José Moyano-Fernández. Available at http://hdl.handle.net/10234/195547.

Organizing

2024
Member of the organizing committee of VI BYMAT conference.

Awards

2017-2018
Ernest Breva award for academic excellence.
2017-2018
Grant from Ministerio de Educación for high performance.