Diogo Arsénio
Research Areas:
Partial Differential Equations, Collisional Kinetic Theory
Research projects in the Program in Mathematics at NYUAD are both interdisciplinary and multidisciplinary, overlapping with — and having applications in —chemistry, computer science, physics, engineering, and economics.
The Mathematics faculty fall into four broad areas of research:
Read about the four main research areas, faculty, and research centers at NYU Abu Dhabi.
Analysis, alongside algebra, geometry, and probability, is a core area of mathematics, spanning a vast range of topics from pure to applied. It is essential for every mathematician and plays a critical role in describing various fields of science, both natural and social. It encompasses numerous subfields, including real, complex, functional, harmonic, and numerical analysis, as well as the study of dynamical systems and partial differential equations (PDEs).
NYUAD harbors a strong research team in the field, with a particular focus on the analysis of PDEs, fluid dynamics, and operator theory.
Research Areas:
Partial Differential Equations, Collisional Kinetic Theory
Research Areas: Applied Mathematics, Mathematical Modeling, Differential Equations, Inverse Problems, Medical Imaging, Algorithms, Machine Learning
Research Areas: Partial Differential Equations
Research Areas: Partial Differential Equations, Fluid Dynamics
Research Areas:
Fluid Mechanics
Research Areas:
Geophysical Fluids, Earth-systems Processes
Research Areas: Optimal Transport, Steering of Probability Distributions, Stochastic Mechanics, Harmonic Analysis and Social Cognition
Research Areas:
Mathematical Physics; Spectral Theory; Quantum Chaos; Randomness
Research Areas: Functional Analysis, Harmonic Analysis, PDEs, Fluid Dynamics, Plasma Physics
The Mubadala Arabian Center for Climate and Environmental Sciences (ACCESS) is a leading research center focused on advancing observational and modeling capacity in the marine and atmospheric sectors of the Arabian Peninsula and Gulf region, integrating NYU's global expertise to address climate and environmental challenges, while collaborating with UAE government agencies and focusing on locally-driven research with global implications.
Instability of dynamics flows and their transition to turbulence are widespread phenomena in engineering, computer science, geophysics, biophysics, and the natural environment. The Center's interdisciplinary research will develop novel enabling technology to deal with this phenomena.
The Water Research Center (NYUAD-WRC) aims to promote innovative research in water desalination, wastewater treatment, environmental policy, and social issues. The center serves as an interdisciplinary innovation hub for water research where scientific knowledge is transformed into practical solutions.
Geometry, Topology, and Algebra are key areas of mathematical research, offering powerful techniques and applications to other branches of mathematics, the natural and social sciences, and arts and design. Mathematicians at NYUAD explore a wide range of topics, from classifying symmetries through Lie algebras and superalgebras to arithmetic geometry and the classification of spaces and manifolds. A key focus is the application of these fields to physics, including quantum field theory, gauge theory, string theory, and M-theory.
Research Areas:
Representation Theory, Mathematical Physics
Research Areas:
Arithmetical Dynamics, Arithmetic Geometry, Number Theory
Research Areas: Mathematical Physics, Quantum Field Theory, Differential Geometry, Algebraic Topology, Geometric and Topological Aspects of Physics
A nucleation point for cross-disciplinary expertise in theory and application of quantum and topological systems, with an emphasis towards the unifying goal of robust quantum computation.
Research at NYUAD focuses on key areas such as high dimensional probability, Euclidean and conformal field theory, percolation, phase transitions, scaling limits, random matrices and free probability, random graphs, and Markov chains. The group primarily studies large systems that cannot be analyzed deterministically, aiming to uncover the mathematical structures behind their universal behavior. Their work intersects with stochastic differential equations, quantum field theory, and has significant implications for biology, economics, machine learning and artificial intelligence.
Research Areas:
Random Matrix Theory, Free Probability Theory, Matrix Concentration Inequalities, Mathematical Aspects of Deep Learning, Weak Dependence
Research Areas:
Statistical Physics, Probability Theory
Research Areas:
Statistical Mechanics, Models for Epidemics, Bioinformatics, Statistics of Unobserved Species
Research Areas:
Probability Calculus, Mathematical Physics, Chance in Every Aspect
Research Areas: Optimal Transport, Steering of Probability Distributions, Stochastic Mechanics, Harmonic Analysis and Social Cognition
Research Areas:
Mathematical Physics; Spectral Theory; Quantum Chaos; Randomness
Research Areas: Probability, Convex Geometry, Random Matrices, Markov Chains, Random Graphs, Mathematical Foundation of Machine Learning
Instability of dynamics flows and their transition to turbulence are widespread phenomena in engineering, computer science, geophysics, biophysics, and the natural environment. The Center's interdisciplinary research will develop novel enabling technology to deal with this phenomena.
The Water Research Center (NYUAD-WRC) aims to promote innovative research in water desalination, wastewater treatment, environmental policy, and social issues. The center serves as an interdisciplinary innovation hub for water research where scientific knowledge is transformed into practical solutions.
Mathematical physics is a very broad field of research that encompasses many subareas. Mathematicians at NYUAD are interested in various aspects of mathematical physics, from statistical mechanics to conformal and quantum field theory, from string theory to fluid dynamics.
Research Areas:
Statistical Physics, Probability Theory
Research Areas:
Statistical Mechanics, Models for Epidemics, Bioinformatics, Statistics of Unobserved Species
Research Areas: Partial Differential Equations
Research Areas: Partial Differential Equations, Fluid Dynamics
Research Areas:
Fluid Mechanics
Research Areas:
Mathematical Physics; Spectral Theory; Quantum Chaos; Randomness
Research Areas: Mathematical Physics, Quantum Field Theory, Differential Geometry, Algebraic Topology, Geometric and Topological Aspects of Physics
Research Areas: Probability, Convex Geometry, Random Matrices, Markov Chains, Random Graphs, Mathematical Foundation of Machine Learning
A nucleation point for cross-disciplinary expertise in theory and application of quantum and topological systems, with an emphasis towards the unifying goal of robust quantum computation.
Instability of dynamics flows and their transition to turbulence are widespread phenomena in engineering, computer science, geophysics, biophysics, and the natural environment. The Center's interdisciplinary research will develop novel enabling technology to deal with this phenomena.