Areas of expertise
- Boundary (-Domain) Integral Equations, Partial Differential Equations and Boundary Value Problems.
- Real and Complex Analysis, Functional Analysis and Operator Theory.
- Numerical Solution of PDEs and Integral Equations: Finite Elements, Boundary Elements.
- Mathematics Education: Curriculum design, Mathematics Anxiety, and Innovation on Assessment.
Membership of professional bodies
Secretary of the Spanish Researchers in the UK Society in Oxford
Member of the London Mathematical Society
Fellow of the Higher Education Academy
Member of the Royal Mathematical Society of Spain
Consultancy
• C. F. Portillo, E. Watson, C. Henshall Report of Assessment of the Oxford University Hospitals Centre for Lung Cancer. Collaboration with the Faculty of Life Sciences of Oxford Brookes University, July 2018.
Conferences
Presentations as Invited Speaker
1. Mathematics Anxiety in students of Mathematics and Engineering Degrees. Universitat Internacional de Catalunya, date TBC.
2. My Wonderful Mathematical Life. Minisymposium of the Society of Spanish Researchers in the UK of Oxford. March 2018.
3. Analysis of Boundary-Domain Integral Equations. Seminar Series of the Department of Mathematics of the University of Leeds. January 2018.
4. Analysis of a New Family of Boundary-Domain Integral Equation Systems for the Stationary Heat Transfer Equation in Inhomogeneous Mediain. Mathematics Applied to Finite Elements and Applications, June 2015, Brunel University London.
Presentations in National and International Conferences
1. Analysis of BDIES for the Compressible Mixed Stokes BVP with Variable Viscosity in Bounded Domains. 15th International Conference on Integral Methods for Science and Engineering IMSE, University de Brighton, Reino Unido, Julio 2018.
2. A Study on Mathematics Anxiety Affecting Students of Mathematics and Engineering, Collaboration staff-student. International Conference on Education and New Developments 2018, June 2018. Presentado junto a mi estudiante M. Farjadour.
3. The influence of continuous assessment on attendance, student procrastination and workload Brookes Teaching and Learning Conference, June 2018. Presentado junto a mis estudiantes M. Farjadour y A. Brijmohun y mi compaera Luca Sagredo.
4. A Study on Mathematics Anxiety Affecting Students of Mathematics and Engineering, Collaboration staff-student, Brookes Teaching and Learning Conference, June 2018. Presentado junto a mis estudiantes M. Farjadour y A. Brijmohun.
5. A Study on Mathematics Anxiety Affecting Students of Mathematics and Engineering, Collaboration staff-student,6th Simposium of the Society of Spanish Researchers in the United Kingdont, Glasgow (Reino Unido), June 2018. Co-presented with my student M. Farjadour.
6. Analysis of BDIES for the Compressible Mixed Stokes BVP with Variable Viscosity in Bounded Domains. 11th United Kingdom Conference in Boundary Integral Methods, University of Nottingham Trent, Reino Unido, Julio 2017.
7. Crucial Variables in Developing a Proactive Attitude to Improve Society, International Conference in Education and New Developments, Lisbon, Portugal, June 2017. Presentacin conjunta con Dr. M. Cerrato-Lara.
8. A Study on Stress Factors Affecting Students of Mathematics, Collaboration Staff Student, Brookes Teaching and Learning Conference, June 2017. Presentacin conjunta con mi estudiante Hannah Hibbert.
9. Boundary-Domain Integral Equation Systems for the Diffusion Equation in Inhomogeneous Media in Bounded Domains. 2nd Advanced Summer School in Integral Equations, Instituto Superior Tcnico de Lisboa, Portugal, Mayo 2017.
10. Analysis of a New Family of Boundary-Domain Integral Equation Systems for the Stationary Heat Transfer Equation in Inhomogeneous Media. British Colloquium of Applied Mathematics, University de Oxford, Oxford, Abril 2016.
11. Analysis of a New Family of Boundary-Domain Integral Equation Systems for the Stationary Heat Transfer Equation in Inhomogeneous Mediain. Mathematics Applied to Finite Elements and Applications, Junio 2015, Brunel University London.
12. Analysis of a New Family of Boundary-Domain Integral Equation Systems for the Stationary Heat Transfer Equation in Inhomogeneous Media. 14th International Conference on Integral Methods for Science and Engineering IMSE, University of Padova, Italia, Julio 2016.
13. Boundary-Domain Integral Equation Systems for a Mixed Elliptic Boundary Value Problem. Exterior Problems. 10th UK Conference in Boundary Integral Methods Reino Unido, University of Brighton, Julio 2015.
14. Boundary-Domain Integral Equation Systems for a Mixed Elliptic Boundary Value Problem. Exterior Problems. Brunel Student Symposium. Brunel University London, Abril 2015.
15. A New Family of Boundary-Domain Integral Equation Systems for a Mixed Elliptic Boundary Value Problem. Joint British Mathematical Colloquium - British Applied Mathematics Colloquium. University of Cambridge, Abril 2015.
16. Boundary Domain Integral Equations for the Mixed Interior Boundary Value Problem for the Stokes System with Variable Coefficient. London Mathematical Society, Londres, Reino Unido. Diciembre 2014.
17. Boundary Domain Integral Equations for the Mixed Boundary value Problem for the Stokes System with Variable Coefficient. 13th International Conference on Integral Methods for Science and Engineering IMSE, Karlsruhe, Alemania. Julio 2014.
18. Green Identities for the Stokes System with Variable Coefficient. Brunel Student Symposium. Brunel University London, Marzo 2014.
Other experience
• Mathematics and Statistics Tutor for the Mathematics Support Center (MSC), University of Reading, October 2013 – September 2015
• Associate lecturer, Brunel University London, October 2012 – April 2015.
• Teaching assistant and form tutor of KS3, Rosedale College, Hayes, London.