#
Research Areas

http://www.math.hku.hk/

###
Major Research Areas

**Pure Mathematics:
**

Algebra

Affine algebraic geometry; commutative algebra; noncommutative algebra.

Analysis

Complex analysis; differential and integral inequalities; differential equations; functional analysis; matrix theory; operator theory; partial differential equations; several complex variables.

Geometry

Algebraic geometry; calculus of variations; complex geometry; differential geometry; exterior differential systems; finite geometry and combinatorial design; lie theory; poisson geometry; symplectic geometry.

Number Theory

Arithmetic functions; automorphic forms and L-functions; Riemann Zeta-function; Waring-Goldbach problems.

**Applied Mathematics**

Control Theory and Optimization

Combinatorics; control theory; graph theory; optimization; information and coding theory.

Operational Research and Scientific Computing

Mathematical modelling: numerical partial differential equations; operational research; scientific computing.

Interdisciplinary Mathematics

Bioinformatics; Computational fluid dynamics; financial mathematics; geophysics; mathematical biology; mathematical physics.