Faculty Directory
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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.