Name: Edmundo José Huertas Cejudo
Place of birth: Madrid, Spain
I am Associate Professor (Profesor Titular de Universidad) in Applied Mathematics at the Department of Physics and Mathematics of the University of Alcalá (UAH), Spain, where I have held a permanent full-time position since September 2020. From 25 January 2023 to 24 January 2024, I was a full-time Visiting Researcher at the Institute of Mathematical Sciences (ICMAT-CSIC) within the Spanish Recualificación Programme funded through NextGenerationEU.
My research lies in Mathematical Analysis, Functional Analysis, Spectral Theory, and Orthogonal Polynomials, with a growing orientation towards data analysis, machine learning, and quantum computing. My work includes orthogonality and approximation problems, multiple and mixed orthogonal polynomials, CMV-type formulations, bispectral structures, Riemann–Hilbert techniques, and applications to probabilistic and spectral models such as QBD processes, birth–death chains, random matrices, quantum Markov models, and optical models based on Zernike polynomials.
I am author or coauthor of 33 scientific publications, including 22 papers in JCR-indexed journals, 12 of them in Q1, together with 5 Scopus-indexed book chapters or contributions, 2 technical reports, and 1 doctoral thesis. My current Scopus h-index is 7, with 129 citations. I have also completed 39 verified peer reviews in Web of Science and have been awarded 2 CNEAI six-year research periods (sexenios) corresponding to 2008–2013 and 2014–2019. I was scientific co-editor of the Springer volume Orthogonal Polynomials: Current Trends and Applications (2021).
I have participated in 8 competitively funded public research projects, including 2 as Principal Investigator. Among them are CM/JIN/2021-014, Ortogonalidad y ecuaciones funcionales: teoría y aplicaciones, and PEJ-2023-AI/COM-28493, New Kernel Functions from Orthogonal Polynomials in Quantum Machine Learning, which supported the recruitment of a research assistant for two years and helped consolidate a new research line at the interface of orthogonal polynomials and quantum machine learning.
I am co-coordinator of the UAH research group Functional Analysis: Asymptotic Theory and Orthogonality (AnFAO). I am also co-founder and former coordinator of the Ibero-American research network RIPOEFA, recognized by the AUIP, which brings together researchers from 11 countries and promotes seminars, conferences, and special sessions. I have further contributed to the internationalization of research activity through the organization of short research visits within the Giner de los Ríos programme.
In research supervision, I am currently co-supervising one PhD thesis, and I have supervised 3 Master’s theses and 7 Bachelor’s final projects. I have taught at three Spanish universities and one Portuguese university, in Spanish, English, and Portuguese, covering Mathematics, Statistics, Numerical Analysis, and related subjects in Mathematics, Engineering, Chemistry, Pharmacy, and Forensic Science. I also served as Academic Secretary of the Polytechnic School of the University of Alcalá from February 2020 to September 2022, and as evaluator in the DOCENTIA teaching assessment programme during the academic years 2020–2021 and 2021–2022.
I obtained my PhD in Mathematical Engineering from Universidad Carlos III de Madrid in 2012, with the dissertation Analytic Properties of Krall-type and Sobolev-type Orthogonal Polynomials. I also hold an MSc in Mathematical Engineering from Universidad Carlos III de Madrid (2009), a Technical Engineering degree in Computer Systems from UNED (2005), and a degree in Physics from Universidad Autónoma de Madrid (1996). I hold B2 certification in English and B2 certification in Portuguese.
Since 2020, I have been Associate Professor (Profesor Titular de Universidad) at the University of Alcalá. Previously, I held academic and research positions at the University of Alcalá, the Technical University of Madrid, the University of Coimbra (Portugal), and Universidad Carlos III de Madrid. Before my full academic career, I also worked as a secondary school teacher and as a programmer analyst in the banking software sector.
Spanish: Native
English: B2
Portuguese: B2
I am currently Associate Professor (Profesor Titular de Universidad) in Applied Mathematics at the Department of Physics and Mathematics of the University of Alcalá (UAH), Spain, where I have held a permanent full-time position since September 2020. From 25 January 2023 to 24 January 2024, I was a full-time Visiting Researcher at the Institute of Mathematical Sciences (ICMAT-CSIC) within the framework of the Spanish Recualificación Programme funded through NextGenerationEU.
My research lies in Mathematical Analysis, Functional Analysis, Spectral Theory, and Orthogonal Polynomials, with a growing orientation towards data analysis, machine learning, and quantum computing. My work includes orthogonality and approximation problems, multiple and mixed orthogonal polynomials, CMV-type formulations, bispectral structures, Riemann–Hilbert techniques, and applications to probabilistic and spectral models such as QBD processes, birth–death chains, random matrices, quantum Markov models, and optical models based on Zernike polynomials. At present, I am especially interested in connecting orthogonal-polynomial methods with kernel methods, support vector machines, and quantum machine learning.
I hold a Ph.D. in Mathematical Engineering from Universidad Carlos III de Madrid (2012), with the dissertation Analytic Properties of Krall-type and Sobolev-type Orthogonal Polynomials. I also hold an M.Sc. in Mathematical Engineering from Universidad Carlos III de Madrid (2009), a Technical Engineering degree in Computer Systems from UNED (2005), and a degree in Physics from Universidad Autónoma de Madrid (1996). I also hold B2 certification in English and B2 certification in Portuguese.
To date, I am author or coauthor of 33 scientific publications, including 22 papers in JCR-indexed journals, 12 of them in Q1, together with 5 Scopus-indexed book chapters or contributions, 2 technical reports, and 1 doctoral thesis. My current Scopus h-index is 7, with 129 citations. I have also completed 39 verified peer reviews in Web of Science and I have been awarded 2 CNEAI six-year research periods (sexenios) corresponding to 2008–2013 and 2014–2019. I was scientific co-editor of the Springer volume Orthogonal Polynomials: Current Trends and Applications (2021), and I have also served as guest editor of a special issue of Mathematics-Basel.
I have participated in 8 competitively funded public research projects, including 2 as Principal Investigator. Among them are CM/JIN/2021-014, Ortogonalidad y ecuaciones funcionales: teoría y aplicaciones, and PEJ-2023-AI/COM-28493, New Kernel Functions from Orthogonal Polynomials in Quantum Machine Learning. This latter project supported the recruitment of a research assistant for two full years and helped me consolidate a new research line at the interface of orthogonal polynomials, kernel methods, and quantum machine learning. I am also currently involved in recent projects on orthogonal polynomials, stochastic processes, and quantum models.
I am co-coordinator of the UAH research group Functional Analysis: Asymptotic Theory and Orthogonality (AnFAO). I am also co-founder and former coordinator of the Ibero-American research network RIPOEFA, recognized by the AUIP, which brings together researchers from 11 countries and promotes seminars, conferences, and special sessions. In addition, I have contributed to the internationalization of research activity through the organization of three short research visits at UAH within the Giner de los Ríos programme during 2022–2023.
In research supervision, I am currently co-supervising one Ph.D. thesis, and I have supervised 3 Master’s theses and 7 Bachelor’s final projects. These works have covered topics ranging from orthogonal polynomials and functional equations to support vector machines, data analysis, and quantum computing. This combination reflects well the interdisciplinary direction of my recent work.
I have taught at three Spanish universities and one Portuguese university, in Spanish, English, and Portuguese, covering Mathematics, Statistics, Numerical Analysis, and related subjects in Mathematics, Engineering, Chemistry, Pharmacy, and Forensic Science. In academic management, I served as Academic Secretary of the Polytechnic School of the University of Alcalá from February 2020 to September 2022, and I was also an evaluator in the DOCENTIA teaching assessment programme during the academic years 2020–2021 and 2021–2022. During that period, I was involved in the academic coordination of 10 engineering degrees, 2 double degrees, and 14 Master’s programmes.
My academic career has also included positions at the University of Alcalá, the Technical University of Madrid, the University of Coimbra (Portugal), and Universidad Carlos III de Madrid. Before my full-time academic career, I also worked as a secondary-school teacher and as a programmer analyst in the banking software sector, which gave me an additional applied and computational background that still informs part of my work today.
I have completed three major research stays: a two-year postdoctoral stay at the University of Coimbra under a competitive FCT grant, and two predoctoral research stays at KU Leuven and Georgia Institute of Technology. These experiences helped me consolidate an international research network that continues to shape my collaborations and scientific perspective.
I have presented around 40 research talks and conference contributions and delivered around 20 research seminars at universities, congresses, and research centres. I have also acted as organizer or co-organizer of 9 scientific events of international scope, and I remain actively engaged in building collaborative mathematical communities. In 2013, I received the UC3M Excellence Award as alumni, a distinction granted by the Social Council of Universidad Carlos III de Madrid.
Overall, my current research agenda aims to connect advanced analysis and orthogonal-polynomial theory with contemporary problems in kernel methods, machine learning, data analysis, and quantum computation, while maintaining a strong foundation in rigorous mathematics and long-term international collaboration.