Mathematics and Complex Systems

Research Area Coordinator
Yamir Moreno

The mission of this research area is to develop new mathematical and computational theories and methods for the study of Complex Systems, including the development of rigorous theoretical foundations and novel applications in areas such as Artificial Intelligence, Network Science, Epidemiology and Brain Sciences.

Topics
  • Mathematical Foundations of Complex Systems
  • Structure and Dynamics of Networks
  • Computational Epidemiology
  • Topological Data Analysis
  • Higher-order Structures
  • Theoretical description of Computation "beyond Turing“
  • Mathematical Epidemiology of Tuberculosis
  • Theoretical Foundations of Brain Sciences
  • Exploring synergies between Machine Learning and Complex Systems
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Projects

ADnD: Algebraic-topological Detection of neurodegenerative Diseases
D

Deciphering the unfathomable workings of the brain is the tremendous challenge that neuroscience has been grappling over the past few decades.

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GLEaMviz
T

The global epidemic and mobility model, Gleam, combines real-world data on populations and human mobility with elaborate stochastic models of disease transmission to deliver analytic and forecasting power to address the challenges faced in developing intervention strategies that minimize the impact of potentially devastating epidemics.

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ICARUS - Aviation-driven Data Value Chain for Diversified Global and Local Operations
I

ICARUS will build a novel data value chain in the aviation-related sectors towards data-driven innovation and collaboration across currently diversified and fragmented industry players, acting as multiplier of the “combined” data value that can be accrued, shared and traded, and rejuvenating the existing, increasingly non-linear models  processes in aviation.

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