Keywords

• Logic and foundations
• Combinatorics, graph theory
• Algorithmics, computer algebra system, automated theorem proving
• Mathematical aspects of computer science, discrete mathematics, discrete geometry
• Cryptography, post-quantum cryptography
• Algebra, commutative and noncommutative algebra, category theory
• Group theory, representation theory, Lie theory
• Number theory, arithmetic
• Geometry, algebraic geometry, arithmetic geometry, complex geometry, differential geometry
• Topology, algebraic topology, low-dimensional topology
• Analysis, real and complex analysis, harmonic analysis
• Functional analysis, operator theory
• Dynamical systems and ergodic theory
• Ordinary differential equations
• Partial differential equations
• Mathematical physics, statistical mechanics, quantum information
• Probability, stochastic analysis, stochastic models
• Statistics, Bayesian statistics, high-dimensional statistics, functional data analysis, statistical inference
• Artificial intelligence, machine learning and statistics, data science
• Mathematical aspects of signal and image processing
• Numerical analysis, scientific and high-performance computing, simulations
• Optimization, control theory, inverse problems, game theory.
• Modeling and interfaces of mathematics with science and technology: mathematics for astrophysics; mathematics for biology and health; mathematics for the economy and society; mathematics for planet Earth; mathematics for fluid and solid mechanics; mathematics for signals and images; mathematics for quantum mechanics; mathematics of risk, finance and actuarial science
• History of mathematics