Personal profile
Personal Statement
I am a Lecturer in Mathematics and Statistics at Strathclyde. Before this, I was a Chapman Fellow in the Mathematics Department at Imperial College London and, prior to that, a postdoctoral researcher at the Cluster of Excellence Mathematics Münster, working in the Mathematical Optimisation group led by Prof. Benedikt Wirth. I completed my PhD at the University of Heidelberg under the supervision of Prof. Roland Herzog and earned my undergraduate and MSc degrees at Escuela Politécnica Nacional del Ecuador, where I was part of the Research Center on Mathematical Modelling (MODEMAT) under the guidance of Prof. Juan Carlos De los Reyes and Prof. Pedro Merino.
My research focuses on computational PDE-constrained optimisation, with particular interest in non-smooth optimisation algorithms and their applications, data assimilation, shape optimisation, and optimisation on manifolds.
Keywords
- Computational Mathematics
- Numerical analysis
- Nonlinear optimisation
- PDE-constrained Optimisation
- Riemannian Optimisation
- Optimal Control
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Collaborations and top research areas from the last five years
Projects
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Riemannian deep reinforcement learning for PDE-constrained shape optimisation
Loayza Romero, K. E. (Principal Investigator)
Project: Research
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Discrete geodesic calculus for complete Riemannian manifolds
Loayza Romero, E. & Wirth, B., 1 Jun 2026, In: Proceedings in Applied Mathematics and Mechanics, PAMM. 26, 2, e70118.Research output: Contribution to journal › Conference article › peer-review
Open AccessFile2 Downloads (Pure) -
Numerical techniques for geodesic approximation in Riemannian shape optimization
Loayza Romero, E. & Welker, K., 27 Jun 2025, (Accepted/In press).Research output: Contribution to conference › Paper › peer-review
Activities
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LMS Workshop: Mathematical Modelling and Optimisation in Multiscale Problems
Loayza Romero, K. E. (Organiser) & Miller, L. (Organiser)
17 Sept 2026Activity: Presenting or Organising an Event › Conference, workshop, seminar or course
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Computational Methods in Applied Mathematics (CMAM 2026)
Loayza Romero, K. E. (Organiser) & Welker, K. (Organiser)
20 Jul 2026 → 31 Jul 2026Activity: Presenting or Organising an Event › Organiser of special symposia