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Ángel Arroyo García

Profesor ayudante doctor (Assistant Professor)
Department of Applied Mathematics and Mathematical Analysis
School of Mathematical Sciences
Complutense University of Madrid
Research Group MOMAT

 

 

 

Bio

I'm an Assistant Professor at the Department of Applied Mathematics and Mathematical Analysis at Complutense University of Madrid since 2021. I obtained a Bachelor Degree in Mathematics at the University of Alicante in 2009, and a Master Degree in Advanced Mathematics at the University of Murcia in 2010. I completed my PhD in Mathematics at Autonomous University of Barcelona in 2017, supported by an FPI grant. I held two postdoctoral researcher positions at University of Jyväskylä (Finland, 2017-2019) and University of Genoa (Italy, 2019-2020). I was Assistant Professor at the Department of Mathematics at University Carlos III of Madrid (2020-2021). I have also worked in the private sector (2010-2013).

 

Research interests

Geometric function theory, nonlinear analysis, partial differential equations, p-Laplacian, p-harmonic functions, mean value properties, nonlocal operators, stochastic differential games, dynamic programming principles, inverse problems.

 

Latest Publications

  • G. S. Alberti, Á. Arroyo, M. Santacesaria. Inverse problems on low-dimensional manifolds. Nonlinearity 36, pp. 734–808 (2023). https://doi.org/10.1088/1361-6544/aca73d
  • Á. Arroyo, J. G. Llorente. p-harmonic functions by way of intrinsic mean value properties. Adv. Calc. Var. 16 (1), pp. 111–129 (2023). https://doi.org/10.1515/acv-2020-0101
  • Á. Arroyo, P. Blanc, M. Parviainen. Local regularity estimates for general descrete dynamic programming equations. Journal de Mathemátiques Pure et Appliquées, 2022, 167 , 225-256. https://doi.org/10.1016/j.matpur.2022.09.006
  • Á. Arroyo, P. Blanc, M. Parviainen. Hölder regularity for stochastic processes with bounded and measurable increments. Published online in Ann. Inst. H. Poincaré Anal. Non Linéaire. (2022). https://doi.org/10.4171/aihpc/41
  • S. Alberti, Á. Arroyo, M. Santacesaria. Inverse problems on low-dimensional manifolds. Nonlinearity, 2022, 36, 1. https://doi.org/10.1088/1361-6544/aca73d