Grants
We are indebted to the Research Grants Council (RGC) of the University Grants Committee and other research foundations for their support in pushing the boundaries of mathematics. They contributed to the projects listed below:
Project Title | Principal Investigator PI | Funding Source |
---|---|---|
Perturbative methods in mirror symmetry | Prof. Kwok Wai CHAN | Research Grants Council - General Research Fund |
Multiscale model reduction for frictional contact problems | Prof. Eric Tsz Shun CHUNG | Research Grants Council - General Research Fund |
Solutions of non-cutoff Boltzmann equation near local Maxwellians | Prof. Renjun DUAN | Research Grants Council - General Research Fund |
Dimension theory of non-conformal fractal sets and measures | Prof. Dejun FENG | Research Grants Council - General Research Fund |
Some fundamental questions on the generalized affine Springer fibers | Prof. Xuhua HE | Research Grants Council - General Research Fund |
Short-time existence of Ricci Flow on non-compact manifolds and its applications | Prof. Man Chun LEE | Research Grants Council - Early Career Scheme |
Heegaard Floer theory, large-perturbation Seiberg-Witten monopoles and the Atiyah-Floer principle | Prof. Yi Jen LEE | Research Grants Council - General Research Fund |
Lagrangian correspondences and Mirror Symmetry with symmetries | Prof. Conan Nai Chung LEUNG | Research Grants Council - General Research Fund |
Geometric problems in mathematical general relativity | Prof. Martin Man Chun LI | Research Grants Council - General Research Fund |
Numerical methods for the Schrödinger equation with a periodic potential and uncertainties | Prof. Liu LIU | Research Grants Council - General Research Fund |
A new framework for imaging with shape priors using Harmonic Beltrami Signature | Prod. Ronald Lok Ming LUI | Research Grants Council - General Research Fund |
Free-Boundary Problem in Complex Fluids | Prof. Chenyun LUO | Research Grants Council - General Research Fund |
Symplectic Duality, Loops and Enumerative Geometry | Prof. Michael McBREEN | Research Grants Council - General Research Fund |
Mean-field games and mean-field control of timing | Prof. Xiaolu TAN | Research Grants Council - General Research Fund |
Dynamical flow of liquid crystal droplets | Prof. Yong YU | Research Grants Council - General Research Fund |
Mathematical analysis of PML and robust finite element methods for nonlinear Helmholtz equations with highly oscillatory solutions | Prof. Jun ZOU | Research Grants Council - General Research Fund |
Project Title | Principal Investigator PI | Funding Source |
---|---|---|
Quantization by means of mirror symmetry | Prof. Kwok Wai CHAN | Research Grants Council - General Research Fund |
Hybrid multiscale methods for coupled flow and transport in heterogeneous porous media | Prof. Eric Tsz Shun CHUNG | Research Grants Council - General Research Fund |
The Boltzmann equation for uniform shear flow | Prof. Renjun DUAN | Research Grants Council - General Research Fund |
Local geometry and multifractal analysis of self-affine sets and measures | Prof. Dejun FENG | Research Grants Council - General Research Fund |
Total positivity for flag varieties of Kac-Moody groups | Prof. Xuhua HE | Research Grants Council - General Research Fund |
Symplectic geometry and SYZ mirror symmetry | Prof. Conan Nai Chung LEUNG | Research Grants Council - General Research Fund |
Singularity analysis in minimal surface theory | Prof. Martin Man Chun LI | Research Grants Council - General Research Fund |
Uncertainty Quantification for Multiscale Kinetic Mixture Models with Uncertainties | Prof. Liu LIU | Research Grants Council - Early Career Scheme |
Geometry-guided deep neural networks for image and geometry processing | Prod. Ronald Lok Ming LUI | Research Grants Council - General Research Fund |
Local and Long Time Behavior for the Motion of a Compressible Water Wave | Prof. Chenyun LUO | Research Grants Council - Early Career Scheme |
Geometry and Representation Theory of Symplectic Resolutions and their multiplicative analogues | Prof. Michael McBREEN | Research Grants Council - Early Career Scheme |
Mean-Field Optimal Control with Dynamic Population | Prof. Xiaolu TAN | Research Grants Council - General Research Fund |
Well-Posedness of The Contact Discontinuities for the Ideal MHD | Prof. Zhouping XIN | Research Grants Council - General Research Fund |
Zeta functions of finite quotients of buildings | Prof. Jiu Kang YU | Research Grants Council - General Research Fund |
Pattern formation in Landau-de Gennes theory | Prof. Yong YU | Research Grants Council - General Research Fund |
Blind deblurring: from variational approaches to explainable deep learning | Prof. Tieyong ZENG | Research Grants Council - General Research Fund |
Mathematical analysis and applications of stochastic gradient type methods for large-scale systems from nonlinear ill-posed inverse problems | Prof. Jun ZOU | Research Grants Council - General Research Fund |
Project Title | Principal Investigator PI | Funding Source |
---|---|---|
Geometry of SYZ transforms and applications | Prof. Kwok Wai CHAN | Research Grants Council - General Research Fund |
Learning of macroscopic parameters for multiscale problems | Prof. Eric Tsz Shun CHUNG | Research Grants Council - General Research Fund |
Time-periodic problems on the Boltzmann equation | Prof. Renjun DUAN | Research Grants Council - General Research Fund |
Affine Deligne-Lusztig varieties for nonbasic elements | Prof. Xuhua HE | Research Grants Council - General Research Fund |
Modelling and analysis of diffuse interface models for two-phase micropolar fluid flows | Prof. Andrew Kei Fong LAM | Research Grants Council - General Research Fund |
Duality and geometry of Lagrangian submanifolds | Prof. Conan Nai Chung LEUNG | Research Grants Council - General Research Fund |
幾何分析 | Prof. Martin Man Chun LI | National Natural Science Foundation of China (優青項目) |
On higher-order isoperimetric inequality | Prof. Guohuan QIU | Research Grants Council - General Research Fund |
Geometric flows, quasi-local mass and the structure of manifolds | Prof. Luen Fai TAM | Research Grants Council - General Research Fund |
Non-convex Optimization for Image Recovery: Modelling, Analysis, and Understanding | Prof. Tieyong ZENG | Research Grants Council - General Research Fund |
Project Title | Principal Investigator PI | Funding Source |
---|---|---|
Perturbative QFT and Mirror Symmetry | Prof. Kwok Wai CHAN | Research Grants Council - General Research Fund |
Nonlinear upscaling for nonlinear multiscale problems | Prof. Eric Tsz Shun CHUNG | Research Grants Council - General Research Fund |
Existence and Regularity of Solutions to the Boltzmann Equation | Prof. Renjun DUAN | National Natural Science Foundation of China and Hong Kong Research Grant Council - Joint Research Scheme |
Solutions to the Boltzmann equation with small Knudsen numbers in the approximation of the compressible viscous fluid with slip boundaries | Prof. Renjun DUAN | Research Grants Council - General Research Fund |
Garsia entropy and Hausdorff dimension of Bernoulli convolutions | Prof. Dejun FENG | Research Grants Council - General Research Fund |
On Cahn-Hilliard models with singular potentials and source terms | Prof. Andrew Kei Fong LAM | Research Grants Council - General Research Fund |
Instantons and Seiberg-Witten monopoles | Prof. Yi Jen LEE | Research Grants Council - General Research Fund |
Calabi-Yau A-model and Gukov-Witten quantization | Prof. Conan Nai Chung LEUNG | Research Grants Council - General Research Fund |
Geometric variational problems and nonlinear partial differential equations | Prof. Martin Man Chun LI | Research Grants Council - General Research Fund |
Data-driven geometric models for image analysis and processing via data transformation | Prof. Ronald Lok Ming LUI | Research Grants Council - General Research Fund |
Regularity estimates of Hessian and Curvature equations | Prof. Guohuan QIU | Research Grants Council - General Research Fund |
A Study of Grid Diagram | Prof. Zhongtao WU | Research Grants Council - General Research Fund |
Vacuum Dynamics for the Full Compressible Navier-Stokes Equations | Prof. Zhouping XIN | Research Grants Council - General Research Fund |
Mathematical Studies on Defect Structure in 3D Landau-de Gennes Theory | Prof. Yong YU | Research Grants Council - General Research Fund |
Generative Adversarial Learning Based Magnetic Resonance Image Enhancement: Modeling and Algorithm | Prof. Tieyong ZENG | National Natural Science Foundation of China and Hong Kong Research Grant Council - Joint Research Scheme |
Novel Efficient Methods for Image Recovery Under Heavy Noise and Their Applications | Prof. Tieyong ZENG | Research Grants Council - General Research Fund |
The Local Fundamental Group | Prof. Lei ZHANG | Research Grants Council - General Research Fund |
Scalable and efficient methods and analyses for large-scale systems arising from Helmholtz-type equations with impedance conditions | Prof. Jun ZOU | Research Grants Council - General Research Fund |
Project Title | Principal Investigator PI | Funding Source |
---|---|---|
Novel Efficient Variational Methods for Imaging Segmentation and Their Applications to Angiography Imaging and Hyperspectral Imaging | Prof. Raymond Honfu CHAN | Research Grants Council - General Research Fund |
Multiscale methods for inversion in heterogeneous systems | Prof. Eric Tsz Shun CHUNG | Research Grants Council - General Research Fund |
Dimension of invariant measures for iterated function systems | Prof. Dejun FENG | Research Grants Council - General Research Fund |
Mathematical studies of a phase field approach to shape optimization | Prof. Andrew Kei Fong LAM | Research Grants Council - General Research Fund |
SYZ transformation and Mirror Symmetry | Prof. Conan Nai Chung LEUNG | Research Grants Council - General Research Fund |
Existence of entropy-bounded solutions to the full compressible Navier-Stokes equations in the presence of far field vacuum | Prof. Jinkai LI | Research Grants Council - General Research Fund |
Gauge Theory in Contact and Symplectic Topology | Prof. Zhongtao WU | Research Grants Council - General Research Fund |
Uniform groups and Iwasawa algebras | Prof. Jiu Kang YU | Research Grants Council - General Research Fund |
Some mathematical problems arising in Poisson-Nernst-Planck equation | Prof. Yong YU | Research Grants Council - General Research Fund |
Constructions and Analyses of Efficient Preconditioned Solvers for Some Mathematical Models in Unbounded Domains | Prof. Jun ZOU | Research Grants Council - General Research Fund |
Project Title | Principal Investigator PI | Funding Source |
---|---|---|
Geometry of SYZ transforms | Prof. Kwok Wai CHAN | Research Grants Council - General Research Fund |
Space-time multiscale methods for wave simulations | Prof. Eric Tsz Shun CHUNG | Research Grants Council - General Research Fund |
Global solutions of the Boltzmann equation with large-amplitude data | Prof. Renjun DUAN | Research Grants Council - General Research Fund |
On generating iterated function systems and affine embeddings of fractals | Prof. Dejun FENG | Research Grants Council - General Research Fund |
Geometry of manifolds with special holonomy | Prof. Conan Nai Chung LEUNG | Research Grants Council - General Research Fund |
Weak and Strong Solutions to the Primitive Equations with Full or Horizontal Viscosity but No Diffusivity | Prof. Jinkai LI | Research Grants Council - General Research Fund |
Mathematical models for deformation analysis and their applications | Prof. Ronald Lok Ming LUI | Research Grants Council - General Research Fund |
Stability conditions on Calabi-Yau/Fukaya categories | Prof. Yu QIU | Research Grants Council - General Research Fund |
Some problems on the structure of manifolds | Prof. Luen Fai TAM | Research Grants Council - General Research Fund |
A Study of Spatial Graph | Prof. Zhongtao WU | Research Grants Council - General Research Fund |
On Some Problems for Steady Compressible Euler Systems | Prof. Zhouping XIN | Research Grants Council - General Research Fund |
Some Mathematical Problems Related to Elliptic Partial Differential Equations Arising in Born-Infeld-Higgs Theory | Prof. Yong YU | Research Grants Council - General Research Fund |
Problems in harmonic analysis related to Carelson's operator | Prof. Po Lam YUNG | Research Grants Council - General Research Fund |
Adaptive Finite Element Methods and Convergence Analyses for Solving Ill-posed Inverse Problems by Non-smooth Regularizations | Prof. Jun ZOU | Research Grants Council - General Research Fund |
Project Title | Principal Investigator PI | Funding Source |
---|---|---|
Mathematics in the Estimation of Point-spread Functions in Ground-based Astronomy through Turbulence | Prof. Raymond Honfu CHAN | Research Grants Council - General Research Fund |
Open Gromov-Witten theory and Mirror Symmetry for Toric Varieties | Prof. Kwok Wai CHAN | Research Grants Council - General Research Fund |
Space-time Multiscale Methods for the Wave Equation in Heterogeneous media | Prof. Eric Tsz Shun CHUNG | Germany Academic Exchange Service and Research Grant Council - Joint Research Scheme |
Multiscale model reduction techniques for coupled flow and transport in porous media | Prof. Eric Tsz Shun CHUNG | Research Grants Council - General Research Fund |
On the Cauchy problem of Boltzmann equations in Besov spaces | Prof. Renjun DUAN | Research Grants Council - General Research Fund |
Induced Dirichlet forms on Self-similar sets | Prof. Ka Sing LAU | Research Grants Council - General Research Fund |
The Harnack inequalities and the Jordan-Kinderlehrer-Otto schemes | Prof. Paul Woon Yin LEE | Research Grants Council - General Research Fund |
Floer theoretic invariants in gauge theory and symplectic geometry | Prof. Yi Jen LEE | Research Grants Council - General Research Fund |
Geometry of Calabi-Yau manifolds | Prof. Conan Nai Chung LEUNG | Research Grants Council - General Research Fund |
Global questions in differential geometry on holographic principles | Prof. Martin Man Chun LI | Research Grants Council - General Research Fund |
Variational Analysis with respect to a Smooth Set and Applications | Prof. Kung Fu NG | Research Grants Council - General Research Fund |
Topology of DNA | Prof. Zhongtao WU | Research Grants Council - General Research Fund |
Symmetric spaces and Bruhat-Tits building via Moy-Prasad theory | Prof. Jiu Kang YU | Research Grants Council - General Research Fund |
Restrictions of pseudodifferential operators of mixed homogeneities | Prof. Po Lam YUNG | Research Grants Council - General Research Fund |
Mathematical and Numerical Study of Non-conforming Finite Element Methods for Maxwell’s Equations in Inhomogeneous Media and Related Inverse Problems | Prof. Jun ZOU | National Natural Science Foundation of China and Hong Kong Research Grant Council - Joint Research Scheme |
A general framework for developing direct sampling-type methods for some severely ill-posed nonlinear inverse problems | Prof. Jun ZOU | Research Grants Council - General Research Fund |
Project Title | Principal Investigator PI | Funding Source |
---|---|---|
Perturbative quantum field theory and mirror symmetry | Prof. Kwok Wai CHAN | Research Grants Council - General Research Fund |
Stability of non-trivial profiles for the Boltzmann equation with self-consistent forces | Prof. Renjun DUAN | Research Grants Council - General Research Fund |
Geometric and dimensional properties of fractals under projections and intersections | Prof. Dejun FENG | Research Grants Council - General Research Fund |
SYZ mirror symmetry | Prof. Conan Nai Chung LEUNG | Research Grants Council - General Research Fund |
Min-max constructions in geometry and applications | Prof. Martin Man Chun LI | Research Grants Council - General Research Fund |
Variational models for registration problems of inconsistent shapes | Prof. Ronald Lok Ming LUI | Research Grants Council - General Research Fund |
Problems in Dehn Surgery and Finite Type Invariant | Prof. Zhongtao WU | Research Grants Council - General Research Fund |
On Periodic Solutions to the One-Dimensional Compressible Euler Equations | Prof. Zhouping XIN | Research Grants Council - General Research Fund |
Compensation for the failures of some critical Sobolev embeddings | Prof. Po Lam YUNG | Research Grants Council - General Research Fund |
Project Title | Principal Investigator PI | Funding Source |
---|---|---|
Flexible Two-stage Methodology for Image Segmentation | Prof. Raymond Honfu CHAN | Research Grants Council - General Research Fund |
Integrable systems, flag varieties and mirror symmetry | Prof. Kwok Wai CHAN | Research Grants Council - General Research Fund |
Initial trace and parabolic problems with general initial data | Prof. Kai Seng CHOU | Research Grants Council - General Research Fund |
Simultaneous reconstruction of metric tensors and obstacles using incomplete boundary data | Prof. Eric Tsz Shun CHUNG | Research Grants Council - General Research Fund |
Tree structure and boundary theories on fractals | Prof. Ka Sing LAU | Research Grants Council - General Research Fund |
Geometry of Special Holonomy | Prof. Conan Nai Chung LEUNG | Research Grants Council - General Research Fund |
Developing metric shape space for landmark-labeled surfaces using T-Maps | Prof. Ronald Lok Ming LUI | Research Grants Council - General Research Fund |
Stability and Tilt-Stability of Holder-Order Local Minima | Prof. Kung Fu NG | Research Grants Council - General Research Fund |
Some problems in Kahler geometry and mathematical general relativity | Prof. Luen Fai TAM | Research Grants Council - General Research Fund |
Applications of Floer homology in low-dimensional topology | Prof. Zhongtao WU | Research Grants Council - General Research Fund |
Stability and dynamical theory for solutions to the gauged O(3) sigma model | Prof. Yong YU | Research Grants Council - General Research Fund |
Efficient Mathematical Approximations and their Analyses for a Nonlinear Helmholtz-type System | Prof. Jun ZOU | Research Grants Council - General Research Fund |