Our research covers the spectrum of fundamental and applied mathematics. Below are the various research groups through which you can explore these areas in more detail.
The main research areas above are complemented with a transversal area on Mathematical Modeling, and Numerical Analysis. This area promotes transversal and interdisciplinary research with an applied component towards industry and knowledge transfer, such as biomedical sciences and engineering.
Algebra, Geometry, and Number Theory
Analysis, Dynamical Systems, and Partial Differential Equations
Discrete Mathematics, and Foundations of Computer Science
The research in this area involves algebraic geometry, arithmetic geometry, differential geometry, differential topology, global analysis, analysis on manifolds, algebraic topology, number theory, commutative algebra.
The researchers in this area co-organize weekly seminars on:
IMTech includes here Reaction-diffusion equations, integro-differential equations, Mathematical modeling, Hamiltonian systems, Astrodynamics, and Mathematical neuroscience. Talks are regularly held within the following seminars.
The research in this area covers Combinatorics, Graph theory, Discrete random structures, Coding theory, Models for large networks, Complexity and logic, Algorithmic game theory, and Computational Geometry, among others. The research groups in this area run a joint seminar at UPC on combinatorics, graph theory, and theoretical computer science.
Mathematical Modeling, and Numerical Analysis
Statistics, Optimization and Operations Research
This area covers research on biostatistics, multivariate data analysis, Bayesian data analysis, functional data analysis, continuous optimization, linear and integer optimization, large-scale computational optimization, stochastic optimization, and applications (to data science and machine learning, among others). Talks on these topics are organized in a seminar series.