## Research: Research Interests |

For more details on members' research (e.g. publication, research projects), please go to the members' homepages.

**Dr. Kai CAI**- Dr. Cai's main research areas are coding theory and combinatorial optimization.**Dr. Jor Ting CHAN**- Dr. Chan's research topics includes function spaces and operators on function spaces.**Dr. Yat Ming CHAN**- Dr. Chan's research interests lie in complex, symplectic and differential geometry, in particular Calabi-Yau manifolds and special Lagrangian geometry.**Prof. Wing Sum CHEUNG**- Prof. Cheung's research areas are in differential geometry, differential equations, and analytic inequalities. His research topics include exterior differential systems, calculus of variations, complex differential geometry, differential equations, and analytic inequalities. He is on the editorial boards of Abstract and Applied Analysis, Asian European Journal of Mathematics, Australian Journal of Mathematical Analysis and Applications, Journal of Inequalities and Applications, and the Bulletin of the Southeast Asian Mathematical Society.**Prof. Wai Ki CHING**- Prof. Ching's main research areas are in mathematical modelling and applied computing.**Dr. Guangyue HAN**- Dr. Han's main research areas are coding and information theory.**Dr. Zheng HUA**- Dr. Hua's research interest is Algebraic geometry. In particular, he is interested in derived category, toric varieties and geometry of Calabi-Yau manifolds.**Dr. Benjamin KANE**- Dr. Kane's research interests lie in the areas of number theory and combinatorics. In particular, he is interested in the appearance of modular and automorphic forms in generating functions coming from combinatorial counting problems arising in a number of fields.**Dr. Yuk Kam LAU**- Dr. Lau's research area is number theory. His research topics include the Riemann Zeta-function, asymptotic results and distribution functions associated with some number-theoretic functions.**Dr. Ka Ho LAW**- Dr. Law's research interests are in contract bridge combinatorics, graph theory, the mathematics of electoral systems and mathematics education.**Dr. Jingbo LIU**- Dr. Liu's research areas are in number theory and coding theory. In particular, she is interested in the integral representation problems of quadratic lattices and Hermitian lattices.**Prof. Jiang-Hua LU**- Prof. Lu's research areas are in symplectic and Poisson geometry. She is especially interested in the connections between Poisson geometry and Lie theory. She is on the editorial board of*Pacific Journal of Mathematics*.**Prof. Ngaiming MOK**- Professor Mok's research interests encompass Several Complex Variables, Differential Geometry and Algebraic Geometry. His recent works in Complex Differential Geometry revolve around bounded symmetric domains, extremal bounded holomorphic functions, rigidity problems and holomorphic geodesic cycles on Hermitian locally symmetric spaces. In Algebraic Geometry his recent works are primarily related to Fano manifolds and more generally uniruled projective varieties. He is on the editorial boards of*Mathematische Annalen*,*Science China Mathematics*and*Chinese Annals of Mathematics*.**Prof. Tuen Wai NG**- Prof. Ng's main research area is*One and Several Complex Variables*. In particular, geometric function theory, Nevanlinna theory and its applications to complex differential and functional equations, dessin denfant, geometry of polynomials and finite Blaschke products. He also has a side interest in game theory and mathematical biology. He is on the editorial board of*Bulletin of the Australian Mathematical Society*.**Dr. Zheng QU**- Dr. Qu’s research interests lie in numerical methods for optimization and optimal control problems. The dimension of today's data-related optimization problems can easily reach the order of billion or more. Dr. Qu investigates more scalable modern optimization methods, including randomized coordinate descent methods (serial, parallel, distributed, accelerated variants), stochastic gradient methods (mini-batch, variance reduction) and primal-dual methods. She is equally interested in exploring the power of randomization in the attenuation of the curse of dimensionality for the solution of optimal control problems.**Prof. Man Keung SIU**- Prof. Siu works in combinatorial theory as well as in the history of mathematics. His research includes binary sequences or arrays and related combinatorial designs; the use of history of mathematics in mathematics teaching.**Dr. Jian SONG**- Dr. Song's research interests are in Stochastic Analysis, Stochastic Partial Differential Equations, Fractional Brownian Motion, Mathematical Finance, Malliavin Calculus, Stochastic Control, and Statistics.**Prof. Kai Man TSANG**- Prof. Tsang's main research area is in number theory. His research topics include linear and non-linear Diophantine equations, distribution of square-free numbers, and the Riemann zeta function. He is on the editorial board of Moscow Journal of Combinatorics and Number Theory.**Dr. Chi Wing WONG**- Dr. Wong's research interests are in analysis and control theory.**Dr. Tak Kwong WONG**- Dr. Wong’s primary research interest is the mathematical analysis of partial differential equations, especially for systems arising from applied mathematics. His recent works in fluid dynamics study the Prandtl boundary layer equations as well as other hydrostatic models.**Prof. Xiaoming YUAN**- Prof. Yuan's interest is optimization (theory, algorithm design and applications). He is particularly interested in fast solvers for optimization problems arising in data science (e.g., artificial intelligence, virtual reality), scientific computing (e.g., imaging process, control problems), management science (e.g., game theory, network), etc..**Dr. Siu Pang YUNG**- Dr. Yung's main research interests are in control theory and partial differential equations. His research topics include system and optimal control theory with applications in stability and financial portfolio selection.**Prof. Wenan ZANG**- Prof. Zang's research interests are in combinatorics and optimization. His research topics include polyhedral combinatorics, algorithm design, graph structure theory, and applications of coding theory. He is on the editorial boards of*Operations Research*,*Discrete Applied Mathematics*,*Journal of Combinatorial Optimization*, and*Acta Mathematicae Applicatae Sinica*.**Dr. Haiyu ZHANG**- Dr ZHANG’s research areas are in asymptotic analysis, special functions, integral equations and ordinary differential equations.**Dr. Zhiwen ZHANG**- Dr. Zhang's main research interest is scientific computation. His research topics include uncertainty quantification (UQ) and numerical computation of partial differential equations arising from quantum chemistry, wave propagation, porous media, stochastic fluid dynamics and random heterogeneous media. He is also interested in the biomechanics, which develops biological models and numerically simulates of cell evolution under stress.