Publications

Preprints

1. A Li-Yau and Aronson-Bénilan approach for the Keller-Segel system with critical exponent. (With C. Elbar and F. Santambrogio). Preprint arXiv:2512.17772, 2025.

2. A deterministic particle approximation for a fourth-order equation. (With C. Elbar). Preprint arXiv:2512.11441, 2025. Accepted for publication in Nonlinear Analysis.

Journal Articles

3. Drift-diffusion equations with saturation. (With J.A. Carrillo and D. Gómez-Castro). SIAM Journal on Mathematical Analysis, Volume 57 (6), pp. 6300-6360 (2025). [arXiv:2410.10040] 

4. 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). [arXiv:2304.04582]

5. 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). [arXiv:2307.14706]

6. Matching arc complexes: Connectedness and hyperbolicity. (With J. Aramayona and R. de Pool). Expositiones Mathematicae, 40 (2), pp. 254-264 (2022). [arXiv:2108.05811] 

Further Research (Miscellaneous)

Thesis

1. DPhil (PhD) thesis: Aggregation-diffusion equations in biology with a gradient flow structure. University of Oxford, supervised by J.A. Carrillo and D. Gómez-Castro (2025).

2. Bachelor thesis: Infinite-time concentration in Aggregation–Diffusion equations with a given potential. Universidad Autónoma de Madrid (coordinated by M.M. González). arXiv:2111.11847 (2021).

Notes

3. Uniform hyperbolicity of arc complexes. Broadening project in Geometric Group Theory, University of Oxford. (2024).

Miscelaneous

1. Estudio estadístico sobre los factores de riesgo responsables de acontecimientos coronarios. (With A.J. Fernández Vicente and Á. Fernández). Pensamiento Matemático, Volume XIII, pp. 5-24 (2023).

2. Enfermedad de Mondor en el curso de la COVID-19. (With A.J. Fernández Vicente and Á. Fernández). Editorial Académica Española (2022). ISBN: 978-3-639-71183-7.

3. La catenaria y su influencia en la arquitectura de Gaudí. La Gaceta de la RSME, 23 (2), pp. 303-323 (2020). 

4. Influencia de la Dieta Mediterránea en la percepción de la salud: Estudio en población adolescente del IES Antonio Machado de Soria y población adulta de la provincia de Soria. (With A. Asesio and A. Morcillo). Editorial Académica Española (2018). ISBN: 978-620-2-10033-5.

5. Redes Aritméticas. Resultados en el espacio. (With B. López). Impulso a la Investigación en Jóvenes. VII Encuentro IMINJO, pp. 9-15 (2016). ISBN: 978-84-96230-77-4.

6. Matemáticas en el arte soriano: iglesia de Santo Domingo. Celtiberia, 66 (110), pp. 169-192 (2016).