Name: Edmundo José
Surname: Huertas Cejudo
Birthplace: Madrid.
I am currently Associate Professor in Applied Mathematics at the Dpto. de Física y Matemáticas of the Universidad de Alcalá, and during one complete year (from 01/25/2023 to 01/25/2024), I have been Visiting Researcher at the Institute of Mathematical Sciences (ICMAT) in the framework of the NextGenerationEU funding of the Spanish Government (Program: "Ayudas de Recualificacion del Sistema Universitario Español para 2021-2023 (Convocatoria 2022) - R.D. 289/2021 de 20 de abril (BOE de 4 de junio de 2021)
Past year 2023 I obtained funding by the Comunidad de Madrid (B.O.C.M. No. 297, ORDER 4721/2023, of November 29, project code: PEJ-2023-AI/COM-28493) to hire a Research Technician (Técnico de Investigación) for a period of two full years, in order to start a new line of research in Quantum Computing and Quantum Machine Learning. In the last two years I have directed three TFGs within the framework of quantum computing algorithms.
Together with the UAH full professor Alberto Lastra, in 2022 I have founded the international mathematics research network RIPOEFA (Iberoamerican Network of Research in Orthogonal Polynomials, Functional Equations and Applications), which is formally recognized by the Asociación Universitaria Iberoamericana de Posgrado (AUIP). The network is in charge of the organization duties of several international conferences and special sessions in national and international congresses and we also promote a monthly maths research seminar. Likewise, and also together with professor Lastra, we have founded the High Performance Research Group called: Functional Analysis: Asymptotics and Orthogonality (Análisis Funcional: teoría asintótica y ortogonalidad) at the Dpto. de Física y Matemáticas of the Universidad de Alcalá. In 2022-2023 I have hosted, as a researcher in charge, three short research visits (each lasting 1 month), within the framework of the Giner de los Ríos program of the University of Alcalá.
I am currently co-advising two PhD students:
(1) one together with professor Nuria Torrado of the Universidad Autónoma de MAdrid (UAM) in the joint study of the so called Christoffel-Darboux Kernels from Orthogonal Polynomials applied to Support Vector Machines in the framework of Supervised Machine Learning.
(2) one together with professor Alberto Lastra of the Universidad de Alcalá, in the joint study of Functional Equations and Orthogonal Polynomials.
Concerning official university management positions, from 02/02/2020 to 15/09/2022 I was appointed by the Rector of the UAH as "Academic Secretary of the Polytechnic School". For two full academic years (2020-21 and 2021-22) I have also been part of the official panel of evaluators of the "Program for the Evaluation of Teaching Activity of Teachers (DOCENTIA)" at the University of Alcalá.
In 2013 I was honored with the UC3M EXCELLENCE AWARD - 5th EDITION of the Universidad Carlos III de Madrid Social Council - as Alumni.
I have completed three research stays in international research centers: two of them as pre-doc student and and one as Postdoctoral Researcher:
(1) PRE-DOC: Department of Mathematics at Katholieke Universiteit Leuven (KUL), Belgium in 2011 (three months stay)
(2) PRE-DOC: School of Mathematics at Georgia Institute of Technology (GaTech) Atlanta, Georgia (USA) in 2010 (two months stay)
(3) POST-DOC: Departamento de Matemática at Universidade de Coimbra (Portugal), from 2013 to 2015 (two whole years stay), under the grant SFRH/BPD/91841/2012 of the "Fundação para a Ciência e a Tecnologia" (FCT), Portugal. .
Sep'2012: Ph.D. in Mathematical Engineering at the Mathematics Dept. of University Carlos III of Madrid (UC3M). PhD Advisor: Francisco Marcellán Español. Co-advisor: Héctor E. Pijeira Cabrera. PhD Dissertation Title: "Analytic Properties of Krall-type and Sobolev-type Orthogonal Polynomials".
Jul'2009: M.Sc. in Mathematical Engineering (2 years) (Máster Oficial EEES en Ingeniería Matemática) at the University Carlos III of Madrid (UC3M), Research Field:Mathematical Foundations in Engineering. 120 Credits ECTS.
Sep'2005: Technical Engineer in Computer Sciences (3 years) (Ingeniero Técnico en Informática de Sistemas) at the Spanish Open University (UNED). 234 Credits ECTS.
Mar'1996: Degree in Physics Sciences (5 years) (Licenciado en Ciencias Físicas) at the Autónoma University of Madrid (UAM), Research Field: Fundamental Physics.
2019- present. Associate Professor at Departamento de Física y Matemáticas of Universidad de Alcalá (UAH).
2017 to 2019. Assistant Professor at School of Civil Engineering of Universidad Politécnica de Madrid (UPM).
2015 to 2017. Assistant Professor at Departamento de Física y Matemática of Universidad de Alcalá (UAH).
2013 to 2015. Post-Doctoral Researcher - Bolsista de pós-doutoramento Fundação para a Ciência e Tecnologia (FCT), ref. SFRH/BPD/91841/2012.
2009 to 2012. Research Fellow (PIF-UC3M ref. 01-0910), Universidad Carlos III de Madrid (Spain). Teaching Assistant.
2007 to 2009. Grant Program for Master's Degrees at Maths Department (ref. M02-0708) Universidad Carlos III de Madrid (Spain).
2004 to 2007. Secondary School Teacher (Physics, Chemistry & Computer Sciences). Colegio Las Rosas (Madrid, Spain).
7. Title: evAluación del rendimienTo, fiabilidad, eficiEncia energética y aNálisis de costes en instalacionEs solares fotovoltAicas (ATENEA). Code: TED2021-129813A-I00. Funding entity: Ministerio de Ciencia e Innovación. Period: From December 1, 2022 to November 30, 2024. Principal Investigator: Nuria Torrado (Universidad Autónoma de Madrid).
6. Title: Ortogonalidad y Ecuaciones Funcionales: Teoría y Aplicaciones. Code: CM/JIN/2021-014. Comunidad de Madrid: V Plan Regional de Investigación Científica e Innovación Tecnológica para el periodo 2016-2022 (V PRICIT). Period: January 1, 2021 - December 31, 2023. Researcher in charge: Edmundo J. Huertas (Universidad de Alcalá).
5. Title: Ecuaciones Funcionales, Polinomios Ortogonales y Aplicaciones. Code: CM/JIN/2019-010. BOCM. Num. 7 de 9 de Enero de 2020. Comunidad de Madrid: V Plan Regional de Investigación Científica e Innovación Tecnológica para el periodo 2016-2022 (V PRICIT). Period: January 1, 2020 - December 31, 2021. Researcher in charge: Alberto Lastra Sedano (Universidad de Alcalá).
4. Title: Ortogonalidad, Teoría de la Aproximación y Aplicaciones en Física Matemática. Code: MTM2015-65888-C4-2-P. Ministerio de Economía y Competitividad de España. Period: January 1, 2016 - December 31, 2017. Researcher in charge: Guillermo López Lagomasino (Universidad Carlos III de Madrid).
3. Title: Projecto Estratégico - UI 324 – 2013-2014. Code: Pest-C/MAT/UI0324/2013. Fundação para a Ciência e a Tecnología, Agência pública nacional para a ciência, tecnologia e inovação de Portugal. Period: February 1, 2013 - January 31, 2015. Researcher in charge: Maria Manuel Clementino (Universidade de Coimbra).
2. Title: Orthogonality and Approximation: Theory and Applications in Science and Technology. Code: MTM2012-36732-C03-01. Ministerio de Economía y Competitividad de España. Period: January 1, 2013 - December 31, 2015. Researcher in charge: Francisco Marcellán (Universidad Carlos III de Madrid).
1. Title: Orthogonality, Approximation Theory, and its Applications in Science and Technology. Code: MTM2009-12740-C03-01. Ministerio de Ciencia e Innovación de España. Period: January, 2010 - December, 2012. Researcher in charge: Francisco Marcellán (Universidad Carlos III de Madrid).
2011/2012. Teaching Assistant. University Carlos III of Madrid, Teaching (in English) Linear Algebra for Engineers in the 1st course of Bachelor in Biomedical Engineering and Bachelor in Industrial Technology Engineering - 50 hours.
2010/2011. Teaching Assistant. University Carlos III of Madrid, Teaching (in Spanish) Linear Algebra for Engineers in the 1st course of Bachelor in Industrial Technology Engineering and Propaedeutics Maths Course for Engineers - 68 hours.
2009/2010. Teaching Assistant. University Carlos III of Madrid, Teaching (in Spanish) Linear Algebra for Engineers in the 1st course of Bachelor in Mechanical Engineering and Industrial Engineering - 56 hours.
2008/2009. Teaching Assistant. University Carlos III of Madrid, Teaching (in Spanish) Linear Al- gebra and Calculus in Several Variables for Engineers in the 1st course of Bachelor in Electronic Engineering and Automation and Telecommunications Engineering - 56 hours.
2007/2008. Teaching Assistant. University Carlos III of Madrid, Teaching (in Spanish) Linear Algebra, Calculus in Several Variables and Numerical Methods for Engineers in the 1st and 4th course of Industrial and Telecommunications Engineering - 92 hours.
2004 to 2007. Professor of Physics, Secondary School Colegio Las Rosas, Madrid, Head of Depart- ment of Computer Science and New Technologies. Professor of Physics, Chemistry, Technology and Computer Sciences.
1998 to 2004. Programmer Analyst, Computer Consulting in Banking Sector, Companies: EDS, PROFIT, CAP-GEMINI. Programming in COBOL/DB2 for IBM Mainframe Systems OS390. Consulting for Barclays Bank, BBVA, BSCH, Telefónica, Bank of Santander.
RESEARCH STAYS
Pre-Doc: City Leuven, BELGIUM. University Katholieke Universiteit Leuven (KUL), Dept. of Mathematics.
Lenght May, June and July 2011 - 3 months.
Advisor: Professor Walter Van Assche
Pre-Doc: City Atlanta, GEORGIA (GA) U.S.A. University Georgia Institute of Technology (GATECH), School of Mathematics.
Lenght March and April 2010 - 2 months.
Advisors: Professors Francisco Marcellán and Jeff Geronimo
GRANTS AND AWARDS
2012 Bolsa de Pós-Doutoramento da Fundação para a Ciência e Tecnologia, ref. SFRH/BPD/91841/2012 (Portugal).
2011 Mobility Predoctoral Grant (Leuven), Research Program, University Carlos III of Madrid (Spain).
2010 Mobility Predoctoral Grant (Atlanta), Research Program, University Carlos III of Madrid (Spain).
2010-2012 Webmaster of the Mathematics Department of University Carlos III of Madrid (Spain).
2009-2012 Research Fellow (PIF-UC3M ref. 01-0910), University Carlos III of Madrid (Spain).
2007-2009 Grant Program for Master’s Degrees at Maths Department (ref. M02-0708) University Carlos III of Madrid (Spain).
LANGUAGES
English: (2012) Advanced Level (equivalent to B2 of the Common European Framework of Reference -CEFR) by the Official School of Languages (Escuela Oficial de Idiomas (EEOOII)) in Spain. Regulated by Organic Law 2/2006 of Education, Royal Decree 806/2006 of 30 June.
(2010) University of Cambridge ESOL - First Certificate in English (FCE)
Others: French Basic knowledge.
Portuguese Basic knowledge.
Spanish Native.
INTERNATIONAL CONFERENCE PRESENTATIONS AND PROCEEDINGS
1st International Eurasian Conference on Mathematical Sciences and Applications (IECMSA 2012),
Prishtine (Kosovo), September 2012. Contributed talk.
Conference EIBPOA II - Segundo Encuentro Iberoamericano de Polinomios Ortogonales y Aplicaciones.
Talk: Electrostatic behavior of zeros of Laguerre-Krall orthogonal polynomials.
Institution Universidad de Colima, Colima (México), June 27-29, 2012.
Conference Workshop on Generalized Special Functions of Mathematical Physics 2012.
Poster: Electrostatic behavior of zeros of Laguerre-type orthogonal polynomials.
Institution University of Granada (Spain), January 26-27, 2012.
Conference PEJIM 2011 - Primer Encuentro de Jóvenes Investigadores de La Laguna.
Talk Una visión general sobre la interpretación electrostática de los ceros de polinomios ortogonales.
Institution University of La Laguna (ULL), Tenerife (Spain), September 28-30, 2011.
Conference OPSFA 2011 - Orthogonal Polynomials, Special Functions and Applications.
Poster Asymptotic Properties of Laguerre-Sobolev type Orthogonal Polynomials.
Institution University Carlos III of Madrid (UC3M), Leganés, (Spain), August 29-September 2, 2011.
Conference EIBPOA I - Primer Encuentro Iberoamericano de Polinomios Ortogonales y Aplicaciones.
Poster MOPS with respect to Certain Perturbed Measures of Unbounded Support.
Institution Universidad Nacional de Colombia (UNAL), Bogotá (Colombia), June 1-3, 2011.
Conference XXXIII CNMAC - Congresso Nacional de Matemática Aplicada e Computacional.
Publication in Proceedings: Anais do XXXIII CNMAC, Zeros dos polinômios ortogonais do tipo Laguerre,
F.R. Rafaeli , F. Marcellán and E.J. Huertas ,2010. Vol. 3, 522-528.
CNMAC - , 2010, Águas de Liondóia - Sao Paulo, Brasil.
Conference School and Workshop on Topics in operator algebras and some applications.
Poster New Results on Laguerre-type Orthogonal Polynomials. See poster here.
Institution University Complutense of Madrid (UCM), Madrid (Spain), September 13-17, 2010.
Conference I Jaén Conference on Approximation Theory.
Talk Zeros of O.P. Generated by Canonical Perturbations of the Standard Measure.
Institution University of Jaén, Úbeda, Jaén (Spain), July 4-9, 2010. See slides here.
Conference 10th CMMSE International Conf. on Computational and Math. Methods in Science and Eng.
Talk New Results on Laguerre-type Orthogonal Polynomials.
Institution University of Almería, Almería (Spain), June 26-30, 2010. See slides here.
EXPERIENCE IN ORGANIZATION OF R & D ACTIVITIES
Conference EIBPOA II - Primer Encuentro Iberoamericano de Polinomios Ortogonales y Aplicaciones.
Scope: International Conference. Bogotá (Colombia), from June 1 to 3, 2011.
Institution: Universidad de Colima, México.
Activity: Fully involved in the organization of the conference. http://fejer.ucol.mx/polynomials/
Conference OPSFA 2011 - Orthogonal Polynomials, Special Functions and Applications.
Scope: International Conference. Leganés, Madrid (Spain), from August 29 to September 2, 2011.
Institution: University Carlos III of Madrid - UC3M.
Activity: Membership of the Local Congress Committee
Conference EIBPOA I - Primer Encuentro Iberoamericano de Polinomios Ortogonales y Aplicaciones.
Scope: International Conference. Bogotá (Colombia), from June 1 to 3, 2011.
Institution: Universidad Nacional de Colombia - UNAL.
Activity: Fully involved in the organization of the conference. I created the original logo of the event and developed the website: http://sites.google.com/site/eibpoa2011/
• Profesor Titular en el Departamento de Física y Matemáticas de la Universidad de Alcalá, desde Julio de 2020.
• Secretario Académico de la Escuela Politécnica Superior (EPS) de la Universidad de Alcalá desde 02/02/2020 hasta 15/09/2022.
• Poseo 2 Tramos de Investigación (Sexenios) de la Comisión Nacional de Evaluación de la Actividad investigadora (CNEAI):
- Tramo 1 de 2008-2013
- Tramo 2 de 2014-2019
• 1 Quinquenio docente Según (R.D. 1086/89, de 28 de agosto) desde 01/02/2013 a 16/09/2019.
• Investigador Principal del Proyecto "Ortogonalidad y Ecuaciones Funcionales: Teoría y Aplicaciones": CM/JIN/2021-014 de la Comunidad de Madrid: V PRICIT. De 01/01/2022 hasta 31/12/2023.
• Doctor (PhD) (2012) y Máster Oficial del EEES (2009) en Ingeniería Matemática por la Universidad Carlos III de Madrid (UC3M).
• Ingeniero Técnico en Informática de Sistemas por la Universidad Nacional de Educación a distancia UNED en 2005.
• Licenciado en Ciencias Físicas, Especialidad en Física Fundamental- por la Universidad Autónoma de Madrid (UAM) en 1996.
• Premio de Excelencia UC3M en la 5º Edición de Premios del Consejo Social de la Universidad Carlos III de Madrid (antiguo alumno).
• Investigador Postdoctoral de la "Fundação para a Ciência e a Tecnologia" (FCT), en la Universidade de Coimbra, Portugal, 2 años completos, de 2013-2015.
• Estancias predoctorales en:
- Estados Unidos (GATech - Georgia Institute of Technology, Atlanta), durante 2 meses en 2010.
- Bélgica (Katholieke Universiteit Leuven - KUL), durante 3 meses en 2012.
• Coordinador de la Red de Investigación Iberoamericana RIPOEFA, auspiciada por la AUIP.
• Autor/Coautor de 28 publicaciones científicas, en su mayoría en revistas del JCR Journal of Citation Reports®, distribuídas de la siguiente forma:
-18 artículos en revistas internacionales indexadas en el JCR Journal of Citation Reports® (9 en Q1, 6 en Q2 2 en Q3 y 1 en Q4).
- 4 capítulos de libros indexados en el SCImago Journal Rank (SJR®) (SCOPUS)
- 3 Conference Paper en Congresos Internacionales en Brasil, Portugal y España.
- 2 Artículos no indexados.
- 1 Tesis Doctoral (2012).
• Dirigiendo actualmente 2 Tesis Doctorales en Teoría de Polinomios Ortogonales y Aplicaciones
• Codirección de 3 Trabajos de Fin de Máster (TFM): 1 en UAH (2020), 1 en UPM (2018) y 1 en UC3M (2014).
• Conferenciante en 31 congresos científicos de ámbito internacional.
• Miembro de Comité organizador o de Comité Local de 6 congresos de ámbito internacional.
Extended Summary of my Curriculum Vitae (year 2025)
I am currently Associate Professor (Profesor Titular de Universidad) of Applied Mathematics at the Dept. de Física y Matemáticas of the Universidad de Alcalá (UAH). From 01/25/2023 to 01/25/2024 (1 year), I have been a Visiting Researcher at the Institute of Mathematical Sciences (ICMAT), within the framework of the NextGenerationEU Project under the program: Ayudas de Recualificación del Sistema Universitario Español para 2021-2023.
I hold a Ph.D. in Mathematical Engineering (2012) and a Master's EEES in Mathematical Engineering (2009) from Universidad Carlos III de Madrid (UC3M). Additionally, I earned a degree as a Technical Engineer in Computer Systems (Ingeniero Técnico en Informática de Sistemas) (2005) from Universidad Nacional de Educación a Distancia (UNED) and a 5-year Bachelor in Fundamental Physics (Licenciatura en Ciencias Físicas, especialidad en Física Fundamental) (1996) from Universidad Autónoma de Madrid (UAM).
In 2023, I secured funding from the Comunidad de Madrid, as Principal Investigator of the Project PEJ-2023-AI/COM-28493, to hire a Young Research Technician for a period of 2 full years to initiate a new research line in Quantum Computing and Quantum Machine Learning (QML). My research project was approved by two anonymous referees with a score of 92 points out of 100, underscoring its academic quality and potential. This project leverages orthogonal polynomials (OPs) and their Christoffel-Darboux kernels to enhance quantum algorithms, to be implemented in quantum computers.
Along with Prof. Alberto Lastra (UAH), I co-founded and currently coordinate two research entities:
• Research Network RIPOEFA (Iberoamerican Network of Research in Orthogonal Polynomials, Functional Equations, and Applications): Established in April 2021, formally recognized by the Asociación Universitaria Iberoamericana de Posgrado (AUIP). The network promotes international collaboration, organizes conferences, and runs a monthly online seminar series.
• Research Group AnFAO (Functional Analysis: Asymptotics and Orthogonality): A High-performance Maths Research Group founded in September 2023 at UAH, dedicated to advanced studies in functional analysis, asymptotics and orthogonal polynomials.
As of today, I have supervised or am currently supervising:
• 1 Ph.D. thesis (co-advised with Prof. Lastra), initiated in March 2023, focused on functional equations, moment derivatives, and OPs.
• 3 Master's Theses (TFM): completed at UC3M (2014), UPM (2018), and UAH (2020).
• 5 Bachelor's Theses (TFG): 2 in Quantum Computing at EPS-UAH, 2 at the Faculty of Pharmacy (UAH), and 1 in forensic science at the Faculty of Sciences.
From 2022 to 2023, I hosted 3 short-term research visits (1 month each) at UAH, funded by the "Giner de los Ríos" program, for researchers from Mexico, Cuba, and the USA. These collaborations have further strengthened the international scope of my research.
In terms of academic management, I served as Academic Secretary of the Higher Polytechnic School (EPS-UAH) from 02/02/2020 to 15/09/2022. In this role, I was an ex officio member of 12 academic boards, responsible for managing 10 engineering degrees, 2 double degrees, and 14 master's programs. From 2020 to 2022, I was also an evaluator in UAH's DOCENTIA Teaching Activity Evaluation Program.
In 2013, I was honored with the UC3M Excellence Award (5th Edition) as an outstanding Alumni. This recognition highlighted my dedication to academic excellence and impactful research.
I have completed three extended research stays:
• Postdoctoral: Universidade de Coimbra (Portugal), 2013–2015 (2 years), under a competitive FCT grant (SFRH/BPD/91841/2012).
• Predoctoral: Katholieke Universiteit Leuven (Belgium), 2011 (3 months).
• Predoctoral: Georgia Institute of Technology (USA), 2010 (2 months).
To date, I am the author or co-author of 30 scientific publications, including 19 articles in JCR-indexed journals, 6 book chapters indexed in SCImago (SCOPUS), 3 international conference papers, 2 technical reports, and my Ph.D. dissertation. My work has garnered over 200 citations, with an h-index of 7 (Scopus). Collaborations with researchers from 10 countries (e.g., Argentina, Brazil, Cuba, Mexico, Portugal, and Spain) have further enriched my research output.
My research interests focus on orthogonal polynomials (OPs), special functions, and their applications. This includes the study of higher-order recurrence relations, Sobolev-type inner products, and the electrostatic interpretation of zeros. Additionally, I explore the application of OPs in QML and kernel methods for support vector machines (SVMs). These efforts have been pursued through participation in eight competitive projects, including my role as PI in a Comunidad de Madrid-funded Project from 2020 to 2022.
I have presented more than 40 research talks and delivered around 30 seminars at international conferences, universities, and research centers. I have also contributed as an organizer of several scientific events, including the Ibero-American Meeting on Orthogonal Polynomials and Applications (EIBPOA) series.
I am also the editor of the volume "Orthogonal Polynomials: Current Trends and Applications" (SEMA SIMAI Springer Series, 2021) and have served as a guest editor for a special issue of "Mathematics-Basel" dedicated to recent trends in orthogonal polynomials and their applications (2019).
Furthermore, my postdoctoral research in Portugal resulted in a significant contribution to the field of approximation theory and orthogonal polynomials, particularly through projects funded by the Fundação para a Ciência e a Tecnologia (FCT). My experience extends to organizing special sessions in international congresses, such as the Bienal-RSME in Ciudad Real (2022) and the upcoming XXII EARCO Conference (2024).
I have also contributed to the training of young researchers, exemplified by my mentoring roles in the "Young Research Technicians" program and the "Giner de los Ríos" program. These roles align with my commitment to fostering international collaborations, as evidenced by my active participation in RIPOEFA and AnfAO.
Currently, I am working on projects that integrate quantum computing with classical mathematical techniques, focusing on quantum kernel methods and optimization algorithms. This innovative research aims to bridge the gap between theoretical advancements and practical applications in computational mathematics.
In addition to my academic and research endeavors, I have been actively involved in mentoring early-career researchers and fostering collaborations across various institutions. For instance, my role in the RIPOEFA network has facilitated impactful exchanges and joint publications among members from 11 countries. Similarly, the AnfAO group at UAH has attracted postgraduate students and postdoctoral researchers aiming to specialize in asymptotics and orthogonal polynomials. This environment nurtures creativity and the development of advanced analytical methods applicable to both pure and applied mathematics.
Beyond academic publications, I have reviewed over 35 research articles for high-impact journals, reflecting my expertise and recognition within the mathematical sciences community. My editorial contributions further extend to curating thematic sessions and special issues, as exemplified by my involvement with "Mathematics-Basel" and Springer series.
In the field of teaching, my efforts include the development of innovative course materials and the integration of computational tools to enhance students' understanding of abstract mathematical concepts. Courses such as "Quantum Computing and Mathematical Foundations" have drawn interest from a diverse cohort of students, demonstrating the interdisciplinary appeal of my teaching philosophy.