Alejandro Fernandez Jimenez

Status

Postgraduate Student

Research groups

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Major / recent publications

Partial mass concentration for fast-diffusions with non-local aggregation terms. (With J.A. Carrillo and D. Gómez-Castro). Journal of Differential Equations, Volume 409, pp. 700-773 (2024).
Competing effects in fourth-order aggregation-diffusion equations. (With J.A. Carrillo, A. Esposito and C. Falcó). Proceedings of the London Mathematical Society, Volume 129 (2), e12623 (2024).
Matching arc complexes: Connectedness and hyperbolicity. (With J. Aramayona and R. de Pool). Expositiones Mathematicae, 40 (2), pp. 254-264 (2022).

Further details

Research interests

Studying diffusion aggregation PDEs.

Teaching

Oxford University.

Academic Year 2023/24.

MT2023: Tutor for the course B4.1 Functional Analysis I.

Academic Year 2022/23.

MT2022: Teaching Assistant for the course C8.1 Stochastic Differential Equations.

MT2022: Teaching Assistant for the course B8.1 Probability, Measure and Martingales.

MT2022: Tutor for the course Introduction to Partial Differential Equations (MSc in Mathematical and Computational Finance).

Academic Year 2021/22.

HT2022: Teaching Assistant for the course Nonlinear Systems (MSc Mathematical Modelling and Scientific Computing).

HT2022: Teaching Assistant for the course B4.2 Functional Analysis II.

MT2021: Teaching Assistant for the course C4.3 Functional Analytic Methods for PDEs.

MT2021: Teaching Assistant for the course B4.1 Functional Analysis I.

Somerville College. Retaining Fee Lecturer in Mathematics.

Academic Year 2023/24.

HT2024: Tutor for the course M.5 Multivariable Calculus.

MT2023: Tutor for the course A.1 Differential Equations 1.

Academic Year 2022/23.

MT2022: Tutor for the course A.1 Differential Equations 1.