Faculty Directory

Education

Work Experience

Honors and Awards

• National Level Outstanding Undergraduate Course Award, China, 2025
• NYU Shanghai Teaching Excellence Award Nominee, 2022/2023.
• Doctoral thesis: ‘félicitations du jury’ (highest committee praise) 2017
• Contrat Doctoral Spécifique Normalien – competitive PhD programme for Normaliens, (2014 – 2017)
• ‘Normalien’ status: public servant-student position for academic excellence at the ENS de Lyon, 138k€ (2010 – 2014)
• Bourse d’Excellence – Major AEFE, (Excellence scholarship, 7.2k€) (2007 – 2010)
• Spanish Mathematical Olympiad: Silver Medal (2007)
• X Mediterranean Mathematics Competition, Peter O’Halloran Memorial – Honourable Mention (2007)
• Canada/USA Mathcamp scholarship, 1.6k€ (2007)
• Grand Prix Amour de la Langue – 1e Compétition Nationale “Amour de la Langue” (1^st prize in a national poetry competition, 2k€) (2007)
• Several regional awards in Madrid in the ‘Concurso de Primavera’ and the ‘Concurso Puig Adam’ (2002 – 2007)
• X Ibero-American Mathematical May Olympiad (Olimpiada de Mayo, Competencia Juvenil Iberoamericana de Matemática) 2004 – Bronze medal
• IX Ibero-American Mathematical May Olympiad 2003 – Bronze medal
• VIII Ibero-American Mathematical May Olympiad 2002 – Bronze medal

Research Interests

• Asymptotic analysis of PDE
• Integro-differential equations
• Hamilton-Jacobi equations
• Mathematical modelling in Biology
• Brain-Bacteria Interactions
• Non-smooth systems
• Numerical Analysis
• Stochastic variational inequalities
• Mean Field Games

Selected Publications

• An in vitro neurobacterial interface reveals direct modulation of neuronal function by gut bacteria,
  Scientific Reports (Nature group) (2025),
  Authors: Juan Lombardo-Hernandez, Jesús Mansilla-Guardiola, Riccardo Aucello, Cristian Botta, Maria Teresa García-Esteban, Antonio Murciano-Cespedosa, David Muñoz-Rodríguez, Elisa Quarta, Álvaro Mateos González, Carmen Juan-Llamas, Kalliopi Rantsiou, Stefano Geuna, Luca Cocolin & Celia Herrera-Rincon.
• An elementary approach based on variational inequalities for modeling a friction-based locomotion problem,
  Applied Mathematics Letters (2025),
  Authors: Panyu Chen, Álvaro Mateos González, Laurent Mertz.
• Impact of Iron Deficiency on the Growth and Bioelectrical Profile of Different Gut Bacteria,
  Microbiologyopen (2025),
  Authors: Elisa Quarta, Marwane Bourqqia-Ramzi, David Muñoz-Rodriguez, María Teresa García-Esteban, Antonio Murciano-Cespedosa, Álvaro Mateos González, Francisco José Conejero-Meca, Juan Lombardo-Hernandez, Jesús Mansilla-Guardiola, Simona Baroni, Simonetta Geninatti Crich, Stefano Geuna, Luca Munaron, Deborah Chiabrando, Celia Herrera-Rincon
• From the Microbiome to the Electrome: Implications for the Microbiota–Gut–Brain Axis,
  Journal of Molecular Sciences (2024),
  Authors: Marwane Bourqqia-Ramzi; Jesús Mansilla-Guardiola; David Muñoz- Rodriguez; Elisa Quarta; Juan Lombardo Hernandez; Antonio Murciano-Cespedosa; Francisco José Conejero-Meca; Álvaro Mateos González; Stefano Geuna; María Teresa Garcia-Esteban; Celia Herrera-Rincon
• Mortensen Observer for a class of variational inequalities – Lost equivalence with stochastic filtering approaches,
  ESAIM: Proceedings and Surveys (2023),
  Authors: Louis-Pierre Chaintron; Álvaro Mateos González; Laurent Mertz; Philippe Moireau.
• Bioelectrical State of Bacteria Is Linked to Growth Dynamics and Response to Neurotransmitters: Perspectives for the Investigation of the Microbiota–Brain Axis,
  International Journal of Molecular Sciences (2023),
  Authors: David Muñoz-Rodríguez, Marwane Bourqqia-Ramzi, MT García-Esteban, Antonio Murciano-Cespedosa, Alejandro Vian, Juan Lombardo-Hernández, Pablo García-Pérez, Francisco Conejero, Álvaro Mateos González, Stefano Geuna and Celia Herrera-Rincon
• On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings,
  ESAIM: Proceedings and Surveys (2019),
  Authors: Luis Briceño-Arias; Dante Kalise; Ziad Kobeissi; Mathieu Laurière; Álvaro Mateos González; Francisco José Silva.
• Limiting Hamilton-Jacobi equation for the large scale asymptotics of a subdiffusion jump-renewal equation,
  Asymptotic Analysis (2019),
  Authors: Vincent Calvez, Pierre Gabriel, and Álvaro Mateos González
• Asymptotic Analysis of Partial Differential Equations Arising in Biological Processes of Anomalous Diffusion,
  PhD thesis, (2017),
  Authors: Álvaro Mateos González
• Quantitative convergence towards a self similar profile in an age-structured renewal equation for sub diffusion,
  Acta Applicandae Mathematicae (2016),
  Authors: Hugues Berry, Thomas Lepoutre, and Álvaro Mateos González.

Professional Service

• Reviewer for Bulletin des Sciences Mathématiques
• Co-organiser: Minisymposium: Analyse asymptotique et équations de Hamilton-Jacobi, at CANUM 2018
• Co-organiser: Séminaire Itinérant de Mathématique, Biologie et Applications des Doctorants – Joint Biomathematics seminar in Paris, Lyon and Montpellier – ~40 participants, 3 meetings in 2016-2017.
• Main organiser: Colloque Inter’Actions 2016, Lyon. 1 week, ~70 participants, closing talk by Cédric Villani. Budget: 23k€
• Co-organiser: PhD Student Seminar of the ICJ UCBL and ÉNS de Lyon 2015 – 2016

Courses Taught (Recent 5 Years)

• Calculus I – Precalculus and Differential Calculus (SJTU – GC)
• Calculus II – Integral Calculus (SJTU – GC)
• Calculus III – Multivariable Calculus (SJTU – GC, NYU Shanghai)
• Calculus IV / Ordinary Differential Equations (SJTU – GC, NYU Shanghai)
• Linear Algebra (SJTU – GC, NYU Shanghai)
• Discrete Mathematics (SJTU – GC)
• Mathematical Modelling (NYU Shanghai)

Active Research Projects

• Modeling, Data Analysis and Computational Methods in Biology Research Group, based at Univ. Complutense de Madrid and Univ. of Torino, PI: Celia Herrera-Rincon
• National Science Foundation of China: NSFC 12272237 – Convection and fluid-structure interactions in geological phase transitions – PI: Mac Huang;
• NSFC 1227012036: Modeling, Diffusion Approximation, and Stochastic Control of Nonsmooth Systems – PI: Laurent Mertz.