The Mathematics Division of the MOST plays a key role in promoting and supporting the mathematics research in Taiwan. The mathematics review panel is the core of the Mathematics Division, currently divided into two subpanels – pure mathematics panel and applied mathematics panel. Each panel consists of 5 committee members, who are leading researchers in their respective fields in Taiwan. The missions of the review panel include: (1) in charge of reviewing all submitted research proposals and other related applications; (2) introducing and promoting the cutting-edge frontier research directions to the mathematical community; (3) identifying some top-down main themes proposals to the community; (4) assisting other MOST reviewing activities.
The research topics of pure mathematics group mainly cover the following areas:
1. Algebra: group theory, ring theory and non-associative algebra, Lie algebra, commutative algebra.
2. Number theory: algebraic and analytic number theory, arithmetic geometry, group and automorphic representation.
3. Geometry and topology: topology, differential geometry, Lie groups, algebraic geometry.
4. Analysis: functional analysis, harmonic analysis, complex analysis, optimization theory.
5. Differential equations and dynamical systems (partial): ordinary differential equations, partial differential equations, dynamical systems.
The research topics of applied mathematics group mainly covers the following areas:
1. Differential equations and dynamical systems (partial): ordinary differential equations, partial differential equations, dynamical systems.
2. Probability theory and applications: probability theory and stochastic processes, stochastic processes, stochastic analysis and mathematical physics, mathematical finance, applied probability.
3. Discrete mathematics and combinatorics: graph theory, combinatorics.
4. Numerical analysis and scientific computing: numerical analysis, matrix computation and applications, numerical methods for partial differential equations, computational fluid dynamics, high performance computing.
5. Interdisciplinary mathematical sciences: optimization methods and applications, image processing, biomedical engineering, modeling and simulation of biological systems.