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Carles Falco I Gandia

Pronouns
He / Him
Status
Research Fellow
Contact form
https://www.cfalco.com
ORCID iD
https://orcid.org/0000-0001-9832-2697
Research groups
  • Mathematical Biology
  • Oxford Centre for Nonlinear PDE
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications

C. Falcó, R. E. Baker, J. A. Carrillo (2025). A nonlocal-to-local approach to aggregation-diffusion equations.local continuum model of cell-cell adhesion. SIAM Rev., 67, 353-372.

C. Falcó, D. J. Cohen, J. A. Carrillo, R. E. Baker (2025). Quantifying cell cycle regulation by tissue crowding. Biophys. J. 124, 923-932.

J. A. Carrillo, A. Esposito, C. Falcó, A. Férnandez-Jiménez (2024). Competing effects in fourth-order aggregation-diffusion equations. Proc. London Math. Soc., 129, e12623. 

C. Falcó, R. M. Crossley, R. E. Baker (2024). Travelling waves in a minimal go-or-grow model of cell invasion. Appl. Math. Lett., 158, 109209. 

C. Falcó, R. E. Baker, J. A. Carrillo (2024). A local continuum model of cell-cell adhesion. SIAM J. Appl. Math., 84, S17-S42. 

C. Falcó, D. J. Cohen, J. A. Carrillo, R. E. Baker (2023). Quantifying tissue growth, shape and collision via continuum models and Bayesian inference. J. R. Soc. Interface 20:20230184.

C. Falcó (2022). From random walks on networks to nonlinear diffusion. Phys. Rev. E 106:05103. 

Teaching

Lecturer:

  • C5.12 Mathematical Physiology

Stipendiary Lecturer in Mathematics, St Hugh's College:

  • ASO Mathematical Modelling in Biology TT25
  • ASO Special Relativity TT24
  • ASO Calculus of Variations (TT24 & TT25)
  • A11 Quantum Theory (MT23 & MT24)
  • A2 Metric Spaces and Complex Analysis (MT23 & MT24)
  • ASO Integral Transforms HT23
  • A6 Differential Equations 2 HT23
  • A8 Probability HT23
  • A0 Linear Algebra MT22

College tutor:

  • ASO Mathematical Modelling in Biology (St John's & Wadham College) TT23 & TT24

Mathematical Institute:

  • TA for C5.4 Networks HT22
  • TA for B5.5 Further Mathematical Biology MT21
Prizes, awards, and scholarships
  • SIAM Student Paper Prize 2025
  • 2025-2028 member of the European Mathematical Society (EMS) Young Academy
  • SIGEST Award for the paper A local continuum model of cell-cell adhesion (SIAP 2024)
  • North Senior Scholar 2023/24 (St John's College)
  • La Caixa Foundation Fellow 2021
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London Mathematical Society Good Practice Scheme Athena SWAN Silver Award (ECU Gender Charter) Stonewall Silver Employer 2022

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