Home

I am an Assistant Teaching Professor at Shanghai Jiao Tong University Global College, formerly known as the University of Michigan – Shanghai Jiao Tong University Joint Institute.

I was formerly a Postdoc at Shanghai New York University, China, in the NYU-ECNU Institute of Mathematical sciences. I hold a PhD from the École Normale Supérieure de Lyon and Inria Rhône-Alpes, under the supervision of Vincent Calvez, Hugues Berry, and Thomas Lepoutre.

I conduct research in mathematics inspired by biological systems and applications. My main expertise is in asymptotic analysis of integro-partial differential equations, Hamilton-Jacobi equations, numerical analysis, stochastic variational inequalities, and mathematical modelling in biology: anomalous diffusion, brain-bacteria interactions, and non-smooth systems. I am currently the supervisor of one PhD student.

I am a member of the Modeling, Data Analysis and Computational Methods in Biology Research Group, based at Univ. Complutense de Madrid and Univ. of Torino, and a participant in two grants from the National Science Foundation of China: NSFC 12272237 – Convection and fluid-structure interactions in geological phase transitions – PI: Mac Huang; and NSFC 1227012036: Modeling, Diffusion Approximation, and Stochastic Control of Nonsmooth Systems – PI: Laurent Mertz.

I have most recently taught Calculus I, Multivariable Calculus and ODE at the JI, as well as Introduction to Multivariable Calculus, Mathematical Modelling and Linear Algebra at NYU Shanghai. I have been nominated for the Teaching Excellence Award 2022/2023

You may find more details about my research, teaching, talks and outreach on the dedicated pages and on my CV. Feel free to contact me!

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

PhD Students:

  • Marwane Bourqqia-Ramzi (2024-present)

Other Students supervised:

  • Cléo Quarez, Research Internship (3 months, Summer 2025)
  • Andrew Yuqian Shen, Research Internship (3 months, Summer 2025)
  • Marwane Bourqqia-Ramzi, Research Internship within a PhD thesis, (4 months, Fall 2023)
  • Jingyi Zhao  , Independent Study Project, co-supervised with M. Huang (Spring 2023)
  • Yiwei Liu, Senior thesis and Independent Study Project, co-supervised with M. Laurière (Spring 2023)
  • Jingyi Fu, CEMRACS participant and PhD student (July-August 2018)

Contact

UM-SJTU Joint Institute, Office 442.
UM-SJTU Joint Institute Long Bin Building, No. 800 Dongchuan Road, Minhang District, Shanghai, China. Postcode: 200240

alvaro.mateos@sjtu.edu.cn
amateos.math@gmail.com