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Álvaro
Álvaro Mateos González
Assistant Teaching Professor
Office 442
Tel +86-21-34206765 Ext. 4421
Email alvaro.mateos@sjtu.edu.cn
Webpage alvaromateos.com

Education

Ph.D. Mathematics, École Normale Supérieure (ÉNS) de Lyon and Inria Rhône-Alpes (2017)
M.S. Mathematics, ÉNS de Lyon and Université Claude Bernard Lyon 1 (2013)
B.S. Fundamental Mathematics, Lycée Pierre de Fermat and ÉNS de Lyon and Université Claude Bernard Lyon 1 (2011)

Work Experience

2024 – pres. Assistant Teaching Professor, Global College, SJTU
2020 – 2023 Postdoctoral Instructor of Mathematics, Shanghai New York University
2017 – 2019 Postdoctoral Researcher, Université de Montpellier
2017 Engineer in Advanced Mathematics, CNRS
2014 – 2017 PhD student, Contrat Doctoral Spécifique Normalien, ENS de Lyon
2012 – 2014 Oral examiner in Mathematics, CPGE Lycée Jean Perrin, Lyon
2010 – 2014 Normalien – Public servant student, ENS de Lyon

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” (1st 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.