# Dr Carlos Fresneda-Portillo

Lecturer in Mathematics

### Profile

I currently am a passionate Lecturer in Mathematics at Oxford Brookes University.

During my academic career I have been working as an Associate Lecturer at Brunel University London for three years and as Mathematics and Statistics tutor at the Mathematics Support Centre at the University of Reading.

Before I moved to university I used to work as a teaching assistant form tutor in Rosedale College (Hayes) with students of year 7. Moreover, I worked as a private tutor of Mathematics in Spain and France.

### Teaching Responsibilities

Modules taught

- U08603: Algebra and Calculus
- U08621: Linear Algebra and Analysis I
- U08680: Geometry
- U08483: Medical Statistics
- U08687: Honours Topics - Vector Calculus
- U08622: Linear Algebra and Analysis II

### Academic interests

- Boundary (-Domain) Integral Equations, Partial Differential Equations and Boundary Value Problems
- Numerical Analysis: Finite Elements, Boundary Elements and Finite Differences
- Functional Analysis and Operator Theory
- Mathematics Education: Curriculum design, Computer Aid Assessment, Mathematics Anxiety, and Innovation

### Publications

- S.E. Mikhailov and C.F.Portillo, BDIE System to the Mixed BVP for the Stokes Equations with Variable Viscosity,.In: Integral Methods in Science and Engineering: Theoretical and Computational Advances. C. Constanda and A. Kirsh, eds., Springer (Birkhuser): Boston, ISBN 978-3-319-16727-5, 2015, DOI: 10.1007/978-3-319-16727-5 33
- S.E. Mikhailov and C.F.Portillo, A New Family of Boundary-Domain Integral Equations for a Mixed Elliptic BVP with Variable Coefficient. Proceedings of the 10th UK Conference on Boundary Integral Methods, University of Brighton, UK, (July 2015)
- S.E. Mikhailov and C.F.Portillo, Boundary-Domain Integral Equations for the Mixed Boundary Value Problem for the Compressible Stokes System with Variable Coefficient in Bounded Domains (in preparation)
- S.E. Mikhailov and C.F.Portillo, Boundary-Domain Integral Equations for the Mixed Boundary Value Problem for the Compressible Stokes System with Variable Coefficient in Exterior Domains (in preparation)

### Talks

- A New Family of Boundary-Domain Integral Equation Systems for a Mixed Elliptic Boundary Value Problem with Variable Coefficient in Unbounded Domains 14th International Conference on Integral Methods in Science and Engineering (IMSE 2016), University of Padua, July 2016
- Boundary Domain Integral Equations for the Mixed Compressible

Stokes System with Variable Viscosity in Bounded Domains. MAFELAP 2016, The Mathematics of Finite Elements and its Applications, Brunel University London, June 2016 - A New Family of Boundary Domain Integral Equations for a Mixed Elliptic BVP with Variable Coefficient on a Bounded and Unbounded Domains, BACM, British Colloquium of Applied Mathematics, University of Oxford, April 2016
- Boundary-Domain Integral Equation Systems for a Mixed Elliptic Boundary Value Problem. Exterior Problems. 10th UK Conference in Boundary Integral Methods UKBIM, University of Brighton, July 2015
- Boundary-Domain Integral Equation Systems for a Mixed Elliptic Boundary Value Problem. Exterior Problems. Brunel Student Symposium. Brunel University London, April 2015
- 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, April 2015
- Boundary Domain Integral Equations for the Mixed Interior Boundary Value Problem for the Stokes System with Variable Coefficient. London Mathematical Society, London. December 2014
- 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 (Germany) July 2014
- Green Identities for the Stokes System with Variable Coefficient. Brunel Student Symposium. Brunel University London, March 2014<

### Memberships and affiliations

- Member of the London Mathematical Society
- Member of the Institute of Mathematics and its Applications
- Associate Fellow of the Higher Education Academy
- Member of the Real Sociedad Matematica Española

### Workshops and Study Groups

- IMA International Conference on Barriers and Enablers to Learning Maths: Enhancing Learning and Teaching for All Learners, Glasgow, June 2015
- Workshop for Postgraduate Students New to Teaching in the Mathematical Sciences, February 2015
- European Study Group for Science and Engineering, Bristol, April 2013
- Graduate Modelling Camp. University of Oxford, April 2013