DEPT OF MATHEMATICS
| Researcher : Cai K |
| List of Research Outputs |
| Cai K. and Han G., On the Langberg-Medard k-Unicast Conjecture with k = 3,4, 2018 IEEE International Symposium on Information Theory (ISIT) . 2018, 246-250. |
| Researcher : Chan STS |
| List of Research Outputs |
| Chan S.T.S., Remarks on holomorphic isometric embeddings between bounded symmetric domains, Complex Analysis and its Synergies. Springer Nature Switzerland AG 2019, 2019, 5. |
| Researcher : Cheung WS |
| Project Title: | Complete Monotonicity of Special Functions Involving the Gamma, Digamma, and Polygamma Functions |
| Investigator(s): | Cheung WS |
| Department: | Mathematics |
| Source(s) of Funding: | Seed Fund for Basic Research |
| Start Date: | 02/2005 |
| Project Title: | The 4th Abu Dhabi University Annual International Conference: Mathematical Science and its Applications; Integral Inequalities and the Calculus of Variations |
| Investigator(s): | Cheung WS |
| Department: | Mathematics |
| Source(s) of Funding: | URC/CRCG - Conference Support for Teaching Staff |
| Start Date: | 12/2015 |
| List of Research Outputs |
| Cheung W.S., Associate Editor, Journal of Inequalities and Applications. 2018. |
| Cheung W.S., Editor of Australian Journal of Mathematical Analysis and Applications. 2019. |
| Cheung W.S., Editor of Journal Abstract and Applied Analysis. 2018. |
| Cheung W.S., Editor of Journal of Inequalities in Pure and Applied Mathematics. 2019. |
| Cheung W.S., Editor of the Bulletin of Southeast Asian Mathematical Society. 2019. |
| Cheung W.S., Editor, Asian European Journal of Mathematics. 2018. |
| Cheung W.S., Editor, Far East Journal of Mathematical Sciences. 2018. |
| Cheung W.S., Gronwall-Bellman-type Inequalities and Applications to Boundary Value Problems, W3rd International Symposium on Computational and Applied Mathematics. 2019. |
| El-Deeb A. .A. and Cheung W.S., A variety of dynamic inequalities on time scales with retardation, Journal of Nonlinear Sciences and Applications. 2018, 11, No.10: 1185-1206. |
| Tian J. .F., Zhu Y. .R. and Cheung W.S., N-tuple Diamond-Alpha integral and inequalities on time scales, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 2018, 12 pages. |
| Tian J. .F., Wang W. and Cheung W.S., Periodic boundary value problems for first-order impulsive difference equations with time delay, Advances in Difference Equations. Springer International Publishing, 2018, 2018: 79. |
| Wang W. .L., Tian J. .F. and Cheung W.S., A Class of Coupled Causal Differential Equations, Symmetry. 2018, 10: Art. ID. 421, 11 pages. |
| Zhao C. and Cheung W.S., On Improvements of Kantorovich Type Inequalities, Mathematics. 2019, 7: 259. |
| Zhao C. and Cheung W.S., Orlicz Dual Brunn-Minkowski Theory: Addition, Dual Quermassintegrals, and Inequalities, Modern Discrete Mathematics and Analysis with Applications in Cryptography, Information Systems and Modeling . Springer, Cham, Switzerland, 2018, 131: 11-37. |
| Zhao C. and Cheung W.S., Orlicz Mixed Affine Quermassintegrals, Balkan Journal of Geometry and Its Applications. 2018, 23, No.2: 76-96. |
| Zhao C. and Cheung W.S., Reverse Hilbert inequalities involving series, Publications de l'Institut Math)ématique (Belgrade. 2019, 105: 81-92. |
| Zhao C. and Cheung W.S., q-dual mixed volumes and Lp-intersection bodies, Georgian Mathematical Journal. 2019, 26: 149-157. |
| Researcher : Ching WK |
| Project Title: | On Correlated Default Processes for Financial Credit Risk in an Incomplete Information Market |
| Investigator(s): | Ching WK |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 09/2014 |
| Project Title: | Conference on Mathematical, Physical and Intelligent Sciences; Boolean and Probabilistic Boolean Networks: Computations and Applications |
| Investigator(s): | Ching WK |
| Department: | Mathematics |
| Source(s) of Funding: | URC/CRCG - Conference Support for Teaching Staff |
| Start Date: | 06/2019 |
| Completion Date: | 06/2019 |
| List of Research Outputs |
| Chen K., Wang X., Huang M. and Ching W.K., Compensation Plan, Pricing and Production Decisions with Inventory-dependent Salvage Value, and Asymmetric Risk-averse Sales Agent , Journal of Industrial and Management Optimization. 2018, 14: 1397--1421. |
| Ching W.K., Computational and Mathematical Methods in Medicine, Hindawi Publishing Corporation, 2019. |
| Ching W.K., Associate Editor of Journal of Applied and Computational Mathematics, OMICS Publishing Group, 2019. |
| Ching W.K., Enterprise Information Systems, Taylor & Francis, 2019. |
| Ching W.K., Parsimonious Models and Perron-Frobenius Theorem for High-dimensional Markov Chains (A Plenary Speaker for a Keynote Speech), ene Golub Memorial Day 2019 International Workshop on Matrix Computation, Lanzhou University, Lanzhou, China (19-23 April 2019). 2019. |
| GUO S., Li X., Ching W.K., Dan R., Li W.K. and Zhang Z., GPS trajectory data segmentation based on probabilistic logic, International Journal of Approximate Reasoning. 2018, 103: 227-247. |
| Jiang H., Ching W.K., Yiu K. and QIU Y., Indefinite Mahalanobis Kernel SVM for Credit Risk Evaluation, Applied Soft Computing. Elsevier, 2018, 71: 407-417. |
| Qian X., Huang M., Ching W.K., Lee L. and Wang X., Mechanism Design in Project Procurement Auctions with Cost Uncertainty and Failure Risk, Journal of Industrial and Management Optimization. 2018, 15: 131--157. |
| Tai A., Xie Y., HE W. and Ching W.K., Joint Inspection and Inventory Control for Deteriorating Items with Random Maximum Lifetime, International Journal of Production Economics. 2019, 207: 144--162. |
| YANG Q., Ching W.K., Siu T. and Zhang Z., A Markov-Driven Portfolio Execution Strategy with Market Impact, Numerical Mathematics: Theory, Methods and Applications. Global-Science Press, 2018, 11: 701-728. |
| YANG Q., Gu J., Ching W.K. and Siu T., On Optimal Pricing Model for Multiple Dealers in a Competitive Market , Computational Economics. 2019, 53: 397--437. |
| YANG Q., Ching W.K., HE W. and Siu T., Pricing Vulnerable Options Under a Markov-modulated Jump-Diffusion Model with Fire Sales, Journal of Industrial and Management Optimization. 2018, 15: 293--318. |
| Researcher : Conte RMJ |
| List of Research Outputs |
| Conte R.M.J., Ng T.W. and Wu C., Singularity methods for meromorphic solutions of differential equations, In: N.uler, Nonlinear systems and their remarkable mathematical structures. CRC Press, Boca Raton, 2018. |
| Researcher : GUO S |
| List of Research Outputs |
| GUO S., Li X., Ching W.K., Dan R., Li W.K. and Zhang Z., GPS trajectory data segmentation based on probabilistic logic, International Journal of Approximate Reasoning. 2018, 103: 227-247. |
| Researcher : HE W |
| List of Research Outputs |
| Tai A., Xie Y., HE W. and Ching W.K., Joint Inspection and Inventory Control for Deteriorating Items with Random Maximum Lifetime, International Journal of Production Economics. 2019, 207: 144--162. |
| YANG Q., Ching W.K., HE W. and Siu T., Pricing Vulnerable Options Under a Markov-modulated Jump-Diffusion Model with Fire Sales, Journal of Industrial and Management Optimization. 2018, 15: 293--318. |
| Researcher : Han G |
| Project Title: | On Computing the Capacity of Finite-State Channels |
| Investigator(s): | Han G |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 12/2014 |
| Completion Date: | 05/2019 |
| Project Title: | On Extensions of the I-MMSE Relationship |
| Investigator(s): | Han G |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2018 |
| Project Title: | On Continuous-Time Gaussian Channels |
| Investigator(s): | Han G |
| Department: | Mathematics |
| Source(s) of Funding: | Seed Fund for Basic Research for Resubmission of GRF/ECS Proposals |
| Start Date: | 07/2018 |
| Completion Date: | 11/2018 |
| Project Title: | 2019 ITA Workshop; An Elementary Proof of a Classical Information-Theoretic Formula |
| Investigator(s): | Han G |
| Department: | Mathematics |
| Source(s) of Funding: | URC/CRCG - Conference Support for Teaching Staff |
| Start Date: | 02/2019 |
| Completion Date: | 02/2019 |
| List of Research Outputs |
| Cai K. and Han G., On the Langberg-Medard k-Unicast Conjecture with k = 3,4, 2018 IEEE International Symposium on Information Theory (ISIT) . 2018, 246-250. |
| Courtade T., Han G. and Wu Y., A counterexample to the vector generalization of Costa's EPI and partial resolution, IEEE Transactions on Information Theory. 2018, 64: 5453-5454. |
| Han G., An Elementary Proof of a Classical Information-Theoretic Formula, The 2018 Information Theory and Applications Workshop. 2019. |
| Han G., Second Colombian Workshop on Coding Theory, An Optimization Approach to the Langberg-Medard Multiple Unicast Conjecture. 2019. |
| Han G., The 1st Conference on Mathematical Sciences in IT, An Introduction to Information Theory. 2019. |
| Han G., Workshop on Beyond I.I.D. in Information Theory, Information-Theoretic Extensions of the Shannon-Nyquist Sampling Theorem. 2018. |
| Han G., served as a co-organizer for a series of invited sessions the 23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, 2018. |
| Han G., served as a co-organizer for the Workshop on Stochastic Analysis and Related Topics, Hong Kong , 2018. |
| Liu T. and Han G., Feedback capacity of stationary Gaussian channels further examined, IEEE Transactions on Information Theory. 2019, 65: 2492-2506. |
| Liu X. and Han G., On continuous-time Gaussian channels, Entropy. 2019. |
| Researcher : Hua Z |
| Project Title: | HKU Overseas Fellowship Awards 2014-15 |
| Investigator(s): | Hua Z |
| Department: | Mathematics |
| Source(s) of Funding: | HKU Overseas Fellowship Awards |
| Start Date: | 07/2014 |
| Project Title: | Donaldson-Thomas theory and stability conditions |
| Investigator(s): | Hua Z |
| Department: | Mathematics |
| Source(s) of Funding: | Early Career Scheme (ECS) |
| Start Date: | 11/2014 |
| Completion Date: | 05/2019 |
| Project Title: | Moduli space of noncommutative instantons and Sklyanin algebras |
| Investigator(s): | Hua Z |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2017 |
| Project Title: | Contraction algebras, singularities and enumerative geometry |
| Investigator(s): | Hua Z |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2018 |
| Project Title: | Shifted Poisson geometry of moduli space and Quantization |
| Investigator(s): | Hua Z |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 08/2018 |
| List of Research Outputs |
| Hua Z., Noncommutative Mather-Yau theorem and its applications, Algebraic geometry seminar at UBC. 2018. |
| Hua Z. and Zhou G., Quasi-homogeneity of superpotentials, 2018. |
| Hua Z. and Polishchuk A., Shifted Poisson geometry and meromorphic matrix algebras over an elliptic curve, Selecta Mathematica. 2019. |
| Hua Z., Shifted Poisson geometry of moduli space, Algebra seminar at University of Washington. 2018. |
| Hua Z., cluster category and birational geometry, Algebra seminar at USTC. 2018. |
| Researcher : Kane BR |
| Project Title: | Locally harmonic Maass forms and vanishing of central L-values |
| Investigator(s): | Kane BR |
| Department: | Mathematics |
| Source(s) of Funding: | Early Career Scheme (ECS) |
| Start Date: | 10/2014 |
| Project Title: | Signs of Fourier coefficients of cusp forms and representations by quadratic polynomials |
| Investigator(s): | Kane BR, Lau YK |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2016 |
| Project Title: | Differential operators on polar harmonic Maass forms and k-fold differential forms |
| Investigator(s): | Kane BR |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2017 |
| Project Title: | Regularized inner products and meromorphic modular forms |
| Investigator(s): | Kane BR |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2018 |
| Project Title: | A family of L-functions related to the Riemann zeta function. |
| Investigator(s): | Kane BR |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 09/2018 |
| Project Title: | Outstanding Young Researcher Award 2017-18 |
| Investigator(s): | Kane BR |
| Department: | Mathematics |
| Source(s) of Funding: | Outstanding Young Researcher Award |
| Start Date: | 12/2018 |
| List of Research Outputs |
| Haensch A. and Kane B.R., An algebraic and analytic approach to spinor exceptional behavior in translated lattices, In: Jay Jorgenson, Lejla Smajlovic, and Lynn Walling, 3rd Building Bridges Workshop, held in Sarajevo, 11-22 July, 2016. 2019. |
| Kane B.R., An algebraic approach to the Siegel-Weil average for binary quadratic forms, Conference on the Arithmetic Theory of Quadratic Forms. 2019. |
| Kane B.R., An algebraic approach to the Siegel-Weil average for binary quadratic forms, International conference on class groups of number fields & related topics - 2018. 2018. |
| Kane B.R., Central L-values of elliptic curves, Tunnell's Theorem, and locally harmonic Maass forms, HKU Number Theory Days 2018. 2018. |
| Kane B.R., Outstanding Young Researcher Award 2017-2018, The University of Hong Kong. 2019. |
| Kane B.R., The mathematical key to unlocking the mysteries of cryptography, Colloquium, Duquesne University, USA. 2018. |
| Kane B.R. and Liu J., Universal sums of m-gonal numbers, International Mathematics Research Notices. 2019. |
| Researcher : Lau YK |
| Project Title: | Values of the automorphic L-functions at the boundary point 1 and the Elliott-Montgomery-Vaughan large sieve inequalities. |
| Investigator(s): | Lau YK |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2015 |
| Completion Date: | 06/2019 |
| Project Title: | A study on the Fourier coefficients of cusp forms of half-integral weight |
| Investigator(s): | Lau YK |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2017 |
| Project Title: | Hecke eigenvalues of GL(n) Hecke-Maass forms |
| Investigator(s): | Lau YK |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2018 |
| List of Research Outputs |
| Lau Y.K., A glimpse of some work on signs in analytic number theory, 学术报告会. 华北水利水电大学数学与统计学院. 2019. |
| Lau Y.K. and Wang Y., Absolute values of L-functions for GL(n,R) at the point 1 , Advances in Mathematics. 2018, 335: 759-808. |
| Lau Y.K., Hecke eigenvalues for GL(n) Maass cusp forms, 2018 HKU Number Theory Days. 2018. |
| Lau Y.K., On Hecke eigenvalues for GL(n) Maass cusp forms, Number Theory Days: Exponential Sums & Automorphic Forms. 2019. |
| Lau Y.K., Reviewer of AMS Mathematical Reviews MR3723443, 2018. |
| Lau Y.K., Ng M.H. and Wang Y., Statistics of Hecke eigenvalues for GL(n), Forum Mathematicum. 2019, 31: 167-185. |
| Lau Y.K., Statistics of Kloosterman sums, Workshop on Number Theory and Dynamical System, Shandong University Weihai. 2019. |
| Researcher : Lu J |
| Project Title: | Poisson structures and Frobenius splittings |
| Investigator(s): | Lu J |
| Department: | Mathematics |
| Source(s) of Funding: | Seed Fund for Basic Research |
| Start Date: | 06/2010 |
| Project Title: | Poisson structures and Frobenius splittings |
| Investigator(s): | Lu J |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2013 |
| Project Title: | A study on T-leaves |
| Investigator(s): | Lu J |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2016 |
| Project Title: | Poisson structures on strongly uniformly rational varieties and mutations of iterated Poisson-Ore extensions |
| Investigator(s): | Lu J |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2019 |
| List of Research Outputs |
| Lu J., Generalized Bruhat cells and completeness of Hamiltonian flows of Kogan-Zelevinsky integrable systems, In: Kac, Victor G., Popov, Vladimir L., Lie Groups, Geometry, and Representation Theory In Honor of Bertram Kostant. Birkhauser, Springer, 2019, 326 Progress in Mathematics. |
| Researcher : MA D |
| List of Research Outputs |
| Zhang Z., MA D. and Hou T., A Model Reduction Method for Multiscale Elliptic Pdes with Random Coefficients Using an Optimization Approach, SIAM Multiscale Modeling & Simulation. 2019. |
| Researcher : Mok N |
| Project Title: | Distinguished Research Achievement Award 2010-11 |
| Investigator(s): | Mok N |
| Department: | Mathematics |
| Source(s) of Funding: | Distinguished Research Achievement Award |
| Start Date: | 12/2011 |
| Project Title: | Rigidity phenomena arising from varieties of minimal rational tangents and related problems |
| Investigator(s): | Mok N |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2013 |
| Project Title: | Geometry on subvarieties of bounded symmetric domains and their quotient manifolds and on fibered spaces over them |
| Investigator(s): | Mok N |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2015 |
| Project Title: | Internal Award for CAS Membership |
| Investigator(s): | Mok N |
| Department: | Mathematics |
| Source(s) of Funding: | Internal Award for Chinese Academy of Sciences Membership |
| Start Date: | 02/2016 |
| Project Title: | Geometric substructures on uniruled projective manifolds defined by tangential intersection with VMRTs |
| Investigator(s): | Mok N |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2017 |
| Project Title: | Functional transcendence theory and related areas from a foliation-theoretic and complex differential geometric perspective |
| Investigator(s): | Mok N |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 07/2018 |
| List of Research Outputs |
| Mok N., Pila J. and Tsimerman J., Ax-Schanuel for Shimura varieties, Annals of Mathematics. 2019, 189, no.3: 945-978. |
| Mok N., Curvature and Uniformization on Bounded Symmetric Domains, IAS Distinguished Lecture, City University of Hong Kong (Oct 8). 2018. |
| Mok N., Curvature, Rescaling and Uniformization on Bounded Symmetric Domains, Hua Loo-Keng Key Laboratory of Mathematics, AMSS, Chinese Academy of Sciences. 2019. |
| Mok N., Editor of Chinese Annals of Mathematics. Springer, 2019. |
| Mok N., Editor of Mathematische Annalen. Berlin-Heidelberg-New York, Springer-Verlag, 2018. |
| Mok N., Editor of Mathematische Annalen. Berlin-Heidelberg-New York, Springer-Verlag, 2019. |
| Mok N., Editor of Science in China Series A: Mathematics. Science Press, co-published with Springer-Verlag, 2019. |
| Mok N., Fellow of the American Mathematical Society, 2018. |
| Mok N., Invited Lecture: Uniformization Problems on Subvarieties of Finite-Volume Quotient Spaces of Bounded Symmetric Domains, ICCM 2019, Tsinghua University, Beijing (Jun 9-14). 2019. |
| Mok N., Mini Courses: Geometric structures and substructures on uniruled projective manifolds (Lecture 1 - 5), Winter School on Algebraic Curves, Riemann Surfaces and Moduli Spaces, Morningside Center of Mathematics, CAS, Beijing (Mar 4 - 8). 2019. |
| Mok N., Plenary Lecture: Curvature, Uniformization and Zariski Closures on Quotients of Bounded Symmetric Domains, Differential, Algebraic and Topological Methods in Complex Algebraic Geometry, Grand Hotel San Michele, Cetraro, Italy (Sep 6-15). 2018. |
| Mok N., Plenary Lecture: Holomorphic Isometries between irreducible bounded symmetric domains with respect to the Bergman metric, 2018 Conference on Riemann-Finsler Geometry and Related Topics, Xiamen University (Jul 12-14). 2018. |
| Mok N., Plenary Lecture: Uniformization Problems on Subvarieties of Finite-Volume Quotient Spaces of Bounded Symmetric Domains, Conference on Complex Analysis and Mathematical Physics, dedicated to the 70th birthday of A. G. Sergeev, Steklov Mathematical Institute, Moscow (Mar 18-22). 2019. |
| Mok N., Plenary Lecture: Uniformization for Subvarieties of Finite-Volume Quotients of Bounded Symmetric Domains, Conference in Several Complex Variables in Memory of the Academician Professor Qikeng Lu, Shantou University, China (Dec 21-23). 2018. |
| Mok N., Plenary Lecture: Universal Covering Maps from Bounded Symmetric Domains to Their Finite-Volume Quotients, International Conference on Periods and L-functions in honor of Gisbert Wüstholz’s 70th birthday, Tsinghua Sanya International Mathematics Forum, Sanya City, China (Jan 20 - 24). 2019. |
| Mok N., Plenary Lecture: Universal Covering Maps onto Finite-Volume Quotients of Bounded Symmetric Domains from the Perspective of Complex Differential Geometry, The 24th Symposium on Complex Geometry, Kanazawa, Japan (Nov 13-16). 2018. |
| Mok N., Plenary Speaker: Asymptotic curvature behavior, holomorphic isometries and uniformization problems on bounded symmetric domains, 2018 International Conference on Complex Geometry and Several Complex Variables, Morningside Center of Mathematics, CAS, Beijing (Jul 23-27). 2018. |
| Mok N. and Zhang Y., Rigidity of pairs of rational homogeneous spaces of Picard number 1 and analytic continuation of geometric substructures on uniruled projective manifolds, Journal of Differential Geometry. 2019, 112, no.2: 263-345. |
| Mok N., Some Recent Results on Holomorphic Isometries of the Complex Unit Ball into Bounded Symmetric Domains and Related Problems, In: Byun et al., Geometric Complex Analysis. Basel, Switzerland, Springer Nature, 2018, 269-290. |
| Mok N., Uniformization of Subvarieties of Finite-Volume Quotient Spaces of Bounded Symmetric Domains, Seminar, Algebraische Geometrie, Universität Bayreuth, Germany (May 29). 2019. |
| Researcher : Ng KP |
| Project Title: | Minimization of L1 norm/mixed L1 and L2 norms for image restoration |
| Investigator(s): | Ng KP |
| Department: | Mathematics |
| Source(s) of Funding: | Small Project Funding |
| Start Date: | 11/2004 |
| Project Title: | Sparse Multilinear PageRank : Formulation, Algorithm and Analysis |
| Investigator(s): | Ng KP |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2017 |
| Project Title: | Nonlinear Toeplitz-like Matrix Systems in Image Restoration |
| Investigator(s): | Ng KP |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2018 |
| Project Title: | Orthogonal Non-negative Matrix and Tensor Factorizations: Analysis, Algorithms and Applications |
| Investigator(s): | Ng KP |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2019 |
| Researcher : Ng MH |
| List of Research Outputs |
| Lau Y.K., Ng M.H. and Wang Y., Statistics of Hecke eigenvalues for GL(n), Forum Mathematicum. 2019, 31: 167-185. |
| Researcher : Ng TW |
| Project Title: | Factorization and complex dynamics of meromorphic functions and related topics |
| Investigator(s): | Ng TW |
| Department: | Mathematics |
| Source(s) of Funding: | Seed Funding for New Staff |
| Start Date: | 10/2002 |
| Project Title: | A double epidemic model for SARS propagation |
| Investigator(s): | Ng TW, Danchin ALM |
| Department: | Mathematics |
| Source(s) of Funding: | Small Project Funding |
| Start Date: | 11/2003 |
| Project Title: | D-companion matrices and geometry of polynomials |
| Investigator(s): | Ng TW, Cheung WS |
| Department: | Mathematics |
| Source(s) of Funding: | Small Project Funding |
| Start Date: | 11/2004 |
| Project Title: | Smale's inequalities for polynomials and related problems |
| Investigator(s): | Ng TW |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2012 |
| Project Title: | Fermat-type functional equations and the method of jet differentials |
| Investigator(s): | Ng TW |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2016 |
| List of Research Outputs |
| Conte R.M.J., Ng T.W. and Wu C., Singularity methods for meromorphic solutions of differential equations, In: N.uler, Nonlinear systems and their remarkable mathematical structures. CRC Press, Boca Raton, 2018. |
| Ng T.W., Associate Editor, The Bulletin of the Australian Mathematical Society. Cambridge University Press, 2019. |
| Ng T.W., Hyberbolic Belyi maps and Shabat-Blaschke products, Summer Research Institute on q-Series, Nankai University, Tianjin, P. R. China, July 25--August 15, 2018. 2018. |
| Ng T.W. and Wu C., Nonlinear Loewy Factorizable Algebraic ODEs and Hayman's Conjecture, Israel Journal of Mathematics. 2018, 38 pages. |
| Ng T.W., On admissible entire solutions of Pell type functional equation f^2+ag^2=1, The Journal of Mathematical Analysis and Applications . 2019, 480. |
| Ng T.W., Polynomials versus finite Blaschke products, Joint Workshop on Mathematical Analysis and Applications 2019, City University of Hong Kong and Tel Aviv University (February 18-21). 2019. |
| Ng T.W., The Squeezing Functions on Planar Domains, National Conference on Complex Analysis in Celebrating 40th Anniversary of the Reform and Opening-up, Tsinghua University, Beijing (November 9 - 12). 2018. |
| Ng T.W., The squeezing functions on planar domains, Conference on Complex Analysis and Mathematical Physics, dedicated to the 70th birthday of A. G. Sergeev, Steklov Mathematical Institute, Moscow (March 18-22). 2019. |
| Ng T.W., The squeezing functions on planar domains, National conference on complex Analysis in Celebrating 40th Anniversary of the Reform and Opening-up. 2018. |
| Researcher : QIU Y |
| List of Research Outputs |
| Jiang H., Ching W.K., Yiu K. and QIU Y., Indefinite Mahalanobis Kernel SVM for Credit Risk Evaluation, Applied Soft Computing. Elsevier, 2018, 71: 407-417. |
| Researcher : Qu Z |
| Project Title: | Randomized large-scale optimization methods |
| Investigator(s): | Qu Z |
| Department: | Mathematics |
| Source(s) of Funding: | Early Career Scheme (ECS) |
| Start Date: | 01/2017 |
| List of Research Outputs |
| Fercoq O. and Qu Z., Adaptive restart of accelerated gradient methods under local quadratic growth condition, IMA Journal of Numerical Analysis. 2019. |
| Seladji Y. and Qu Z., Polyhedron over-approximation for complexity reduction in static analysis, International Journal of Computer Mathematics: Computer Systems Theory. 2018, 3: 215-229. |
| Researcher : Song J |
| Project Title: | SPDEs and related topics |
| Investigator(s): | Song J |
| Department: | Mathematics |
| Source(s) of Funding: | Early Career Scheme (ECS) |
| Start Date: | 01/2017 |
| Researcher : WANG Z |
| List of Research Outputs |
| Zhang Z., WANG Z., Luo X. and Yau S., Proper orthogonal decomposition method to nonlinear filtering problems in medium-high dimension, IEEE Transactions on Automatic Control. 2019. |
| Researcher : Wong CW |
| List of Research Outputs |
| Fryer L.K., Zeng M., Wong C.W., Ho C.C. and Chiu P., On-task student-to-teacher feedback: “Was that interesting?” &”Does it Matter”, EARLI SIG 4 Conference Topography of research on higher education: Promoting deep conversations. 2018. |
| Researcher : Wong TK |
| Project Title: | On the Mathematical Analysis of Kinetic Equations |
| Investigator(s): | Wong TK |
| Department: | Mathematics |
| Source(s) of Funding: | Start-up Allowance for Returning Croucher Award Recipients |
| Start Date: | 06/2017 |
| Project Title: | On the Well-posedness of Vlasov-Poisson Equations. |
| Investigator(s): | Wong TK |
| Department: | Mathematics |
| Source(s) of Funding: | Seed Fund for Basic Research for New Staff |
| Start Date: | 06/2017 |
| List of Research Outputs |
| Hening A., Nguyen D., Ungureanu S.C. and Wong T.K., Asymptotic harvesting of populations in random environments, Journal of Mathematical Biology. 2018. |
| Wong T.K. and Yam S.C.P., A probabilistic proof for Fourier inversion formula, Statistics & Probability Letters. 2018, 141: 135-142. |
| Researcher : Wu C |
| List of Research Outputs |
| Conte R.M.J., Ng T.W. and Wu C., Singularity methods for meromorphic solutions of differential equations, In: N.uler, Nonlinear systems and their remarkable mathematical structures. CRC Press, Boca Raton, 2018. |
| Ng T.W. and Wu C., Nonlinear Loewy Factorizable Algebraic ODEs and Hayman's Conjecture, Israel Journal of Mathematics. 2018, 38 pages. |
| Researcher : Wu S |
| Project Title: | ESI School and Conference: Geometry and Quantization (GEOQUANT 2013); Higgs bundles over a non-orientable manifold |
| Investigator(s): | Wu S |
| Department: | Mathematics |
| Source(s) of Funding: | URC/CRCG - Conference Support for Teaching Staff |
| Start Date: | 08/2013 |
| Researcher : YANG Q |
| List of Research Outputs |
| YANG Q., Ching W.K., Siu T. and Zhang Z., A Markov-Driven Portfolio Execution Strategy with Market Impact, Numerical Mathematics: Theory, Methods and Applications. Global-Science Press, 2018, 11: 701-728. |
| YANG Q., Gu J., Ching W.K. and Siu T., On Optimal Pricing Model for Multiple Dealers in a Competitive Market , Computational Economics. 2019, 53: 397--437. |
| YANG Q., Ching W.K., HE W. and Siu T., Pricing Vulnerable Options Under a Markov-modulated Jump-Diffusion Model with Fire Sales, Journal of Industrial and Management Optimization. 2018, 15: 293--318. |
| Researcher : Yung SP |
| Project Title: | SIAM Annual Meeting 2018; A Wavelets Fast Algorithm to Compute Ruin Probability and Gerber-Shiu Functions |
| Investigator(s): | Yung SP |
| Department: | Mathematics |
| Source(s) of Funding: | URC/CRCG - Conference Support for Teaching Staff |
| Start Date: | 07/2018 |
| Completion Date: | 07/2018 |
| Researcher : Zang W |
| Project Title: | Outstanding Researcher Award 2010-11 |
| Investigator(s): | Zang W |
| Department: | Mathematics |
| Source(s) of Funding: | Outstanding Researcher Award |
| Start Date: | 12/2011 |
| Project Title: | Research Output Prize (Faculty of Science) |
| Investigator(s): | Zang W |
| Department: | Mathematics |
| Source(s) of Funding: | Research Output Prize (in Faculty) |
| Start Date: | 12/2011 |
| Project Title: | Structure-Driven Approaches to Some Network Flow Problems |
| Investigator(s): | Zang W |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2014 |
| Project Title: | Minimum Hitting Sets and Beyond |
| Investigator(s): | Zang W |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2016 |
| Project Title: | SIAM Conference on Discrete Mathematics; A Polyhedral Description of Kernels |
| Investigator(s): | Zang W |
| Department: | Mathematics |
| Source(s) of Funding: | URC/CRCG - Conference Support for Teaching Staff |
| Start Date: | 06/2016 |
| Project Title: | Edge-Colorings of Multigraphs |
| Investigator(s): | Zang W |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 12/2017 |
| List of Research Outputs |
| Chen X., Zang W. and Zhao Q., Densities, Matchings, and Fractional Edge-Colorings, SIAM Journal on Optimization. Philadelphia, USA, SIAM, 2019, 29: 240-261. |
| Zang W., Proof of the Goldberg-Seymour Conjecture on Edge-Colorings of Multigraphs, Workshop on Structural Graph Theory and Graph Coloring, Tsinghua Sanya International Mathematics Forum, Hainan, China. 2019. |
| Researcher : Zhang H |
| List of Research Outputs |
| Liu X., Zhao Y., Feng J. and Zhang H., Synchronization of markovian switching stochastic complex networks with hybrid coupling via aperiodically intermittent pinning control , 2018 Chinese Control And Decision Conference (CCDC) . IEEE, 2018. |
| Researcher : Zhang Y |
| List of Research Outputs |
| Mok N. and Zhang Y., Rigidity of pairs of rational homogeneous spaces of Picard number 1 and analytic continuation of geometric substructures on uniruled projective manifolds, Journal of Differential Geometry. 2019, 112, no.2: 263-345. |
| Researcher : Zhang Z |
| Project Title: | HKU Overseas Fellowship Awards 2016-17 |
| Investigator(s): | Zhang Z |
| Department: | Mathematics |
| Source(s) of Funding: | HKU Overseas Fellowship Awards |
| Start Date: | 06/2016 |
| Project Title: | Numerical homogenization for multiscale problems using the hierarchical matrix method |
| Investigator(s): | Zhang Z |
| Department: | Mathematics |
| Source(s) of Funding: | Seed Fund for Basic Research for New Staff |
| Start Date: | 06/2016 |
| Completion Date: | 12/2018 |
| Project Title: | Efficient computational methods for stochastic convection-dominated and multiscale flow problems |
| Investigator(s): | Zhang Z |
| Department: | Mathematics |
| Source(s) of Funding: | Early Career Scheme (ECS) |
| Start Date: | 10/2016 |
| Project Title: | Adaptive numerical methods for long-time integration and model reduction with applications in computing effective diffusivity and Anderson localization |
| Investigator(s): | Zhang Z |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 09/2017 |
| Project Title: | Efficient methods for exploring low-dimensional structures and solving multiscale stochastic elliptic PDEs and Helmholtz equations in random media |
| Investigator(s): | Zhang Z |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 12/2018 |
| Project Title: | Efficeint data-driven modeling and numerical methods for a class of complex fluids with random coefficients |
| Investigator(s): | Zhang Z |
| Department: | Mathematics |
| Source(s) of Funding: | Germany/Hong Kong Joint Research Scheme |
| Start Date: | 01/2019 |
| Project Title: | SIAM Conference on Computational Science and Engineering (CSE19) ; An efficient multiscale finite element method for multiscale elliptic PDEs with random coefficients |
| Investigator(s): | Zhang Z |
| Department: | Mathematics |
| Source(s) of Funding: | URC/CRCG - Conference Support for Teaching Staff |
| Start Date: | 02/2019 |
| Project Title: | New efficient numerical methods for interface problems using the deep learning approach |
| Investigator(s): | Zhang Z |
| Department: | Mathematics |
| Source(s) of Funding: | Seed Fund for Basic Research |
| Start Date: | 04/2019 |
| List of Research Outputs |
| Chen J...R..., Lin L..., Zhang Z. and Zhou X., Estimation of exciton diffusion lengths of organic semiconductors in random domains, Journal of Computational Physics.. 2018. |
| GUO S., Li X., Ching W.K., Dan R., Li W.K. and Zhang Z., GPS trajectory data segmentation based on probabilistic logic, International Journal of Approximate Reasoning. 2018, 103: 227-247. |
| YANG Q., Ching W.K., Siu T. and Zhang Z., A Markov-Driven Portfolio Execution Strategy with Market Impact, Numerical Mathematics: Theory, Methods and Applications. Global-Science Press, 2018, 11: 701-728. |
| Zhang Z., MA D. and Hou T., A Model Reduction Method for Multiscale Elliptic Pdes with Random Coefficients Using an Optimization Approach, SIAM Multiscale Modeling & Simulation. 2019. |
| Zhang Z., Chung E. and Pun S., An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations, Journal of Computational and Applied Mathematics. 2019. |
| Zhang Z., Gao X. and Ying W., An efficient numerical method for uncertainty quantification in cardiology models, International Journal for Uncertainty Quantification. 2019. |
| Zhang Z., WANG Z., Luo X. and Yau S., Proper orthogonal decomposition method to nonlinear filtering problems in medium-high dimension, IEEE Transactions on Automatic Control. 2019. |
| Researcher : Zhao C |
| List of Research Outputs |
| Zhao C. and Cheung W.S., On Improvements of Kantorovich Type Inequalities, Mathematics. 2019, 7: 259. |
| Zhao C. and Cheung W.S., Orlicz Dual Brunn-Minkowski Theory: Addition, Dual Quermassintegrals, and Inequalities, Modern Discrete Mathematics and Analysis with Applications in Cryptography, Information Systems and Modeling . Springer, Cham, Switzerland, 2018, 131: 11-37. |
| Zhao C. and Cheung W.S., Orlicz Mixed Affine Quermassintegrals, Balkan Journal of Geometry and Its Applications. 2018, 23, No.2: 76-96. |
| Zhao C. and Cheung W.S., Reverse Hilbert inequalities involving series, Publications de l'Institut Math)ématique (Belgrade. 2019, 105: 81-92. |
| Zhao C. and Cheung W.S., q-dual mixed volumes and Lp-intersection bodies, Georgian Mathematical Journal. 2019, 26: 149-157. |