Projects per year
UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. Our work contributes towards the following SDG(s):
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SDG 1 No Poverty -
SDG 3 Good Health and Well-being -
SDG 4 Quality Education -
SDG 5 Gender Equality -
SDG 6 Clean Water and Sanitation -
SDG 7 Affordable and Clean Energy -
SDG 8 Decent Work and Economic Growth -
SDG 9 Industry, Innovation, and Infrastructure -
SDG 10 Reduced Inequalities -
SDG 11 Sustainable Cities and Communities -
SDG 12 Responsible Consumption and Production -
SDG 13 Climate Action -
SDG 14 Life Below Water -
SDG 15 Life on Land -
SDG 17 Partnerships for the Goals
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Dive into the research topics where Department of Mathematics is active. These topic labels come from the works of this organisation's members. Together they form a unique fingerprint.
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Profiles
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Kani CHEN, 陳卡你
- Department of Industrial Engineering and Decision Analytics - Professor
- Department of Mathematics - Professor
Person: HKUST Staff
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AI for social simulation
YANG, H. (Team member), CHEN, K. (PI), ZHANG, S. (Team member), CHAN, T. W. (Team member), YANG, T. (Team member), FAN, W. (Team member), CHEN, X. (Team member) & WANG, X. (Team member)
Guangzhou Yiyu Network Technology Co., Ltd.
26/01/26 → 31/12/28
Project: Research
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Reducing Sample Complexity of Sparse Phase Retrieval and Beyond
CAI, J. (PI)
1/01/26 → 31/12/28
Project: Research
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Reduced Order Model Enhanced Preconditioners for Parametric and Time Dependent Radiative Transfer Equation
PENG, Z. (PI)
1/01/26 → 31/12/28
Project: Research
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Derived Flag Schemes, Moduli Spaces of Sheaves, and Geometric Representation Theory
JIANG, Q. (PI)
1/01/26 → 31/12/28
Project: Research
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Revealing disease-associated cell niches and their regulatory processes through spatial omics
LIU, Y. (PI)
1/01/26 → 31/12/27
Project: Research
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A unified framework for characterization of cell type-specific spatially variable genes and co-expressed genes in spatial transcriptomic studies
ZHAO, H. (CoI) & YANG, C. (PI)
1/01/26 → 31/12/28
Project: Research
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Ricci Flow and Spin Geometry
CHOW, A. T. K. (CoI) & FONG, T. H. (PI)
1/12/25 → 30/11/28
Project: Research
Research output
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A composite mean temperature transformation for compressible turbulent boundary layers
LIANG, T. & FU, L., 10 Feb 2026, In: Journal of Fluid Mechanics. 1028, 16 p., A12.Research output: Contribution to journal › Journal Article › peer-review
Open Access -
A cut-cell based high-fidelity wall-modeled LES framework for compressible wall-bounded turbulent flows
SONG, D., HUANG, B. & FU, L., 15 Jul 2026, In: Journal of Computational Physics. 557, 36 p., 114821.Research output: Contribution to journal › Journal Article › peer-review
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Adaptive Concept Discovery for Interpretable Few-Shot Text Classification
ZHENG, L., LIU, H. & CHEN, K., 2026. 20 p.Research output: Contribution to conference › Conference Paper › peer-review
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Adaptive criterion and modification of wave-particle decomposition in UGKWP method for high-speed flow simulation
Cao, J., Wei, Y., Long, W., Zhong, C. & Xu, K., 30 Jan 2026, In: Computers and Fluids. 305, p. 1-16 16 p., 106896.Research output: Contribution to journal › Journal Article › peer-review
2 Link opens in a new tab Citations (Scopus) -
Adaptive energy-preserving mapping strategy for inflow turbulence generation in large-eddy simulations of atmospheric boundary layer
LU, S., YING, A., LU, M. & FU, L., 26 May 2026, In: Physical Review Fluids. 11, 054605.Research output: Contribution to journal › Conference article published in journal › peer-review
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Adaptive Reconstruction Method Using Discontinuity Feedback for High-Order Accuracy Schemes
Zhang, H., Zhao, Y., Ji, X. & Xu, K., May 2026, In: Communications in Computational Physics. 39, 5, p. 1559-1588 30 p.Research output: Contribution to journal › Journal Article › peer-review
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Advancing EKMA Applications in Regional Air Quality Models: Insights into Interpretive Biases and Ozone Abatement Policies
Liang, D., Chen, Y., Huang, Y., Lau, A. K. H., Lin, C. & Fung, J. C. H., 13 Mar 2026, In: American Chemical Society Environmental Science and Technology Air. 3, 3, p. 887-897 11 p.Research output: Contribution to journal › Journal Article › peer-review
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Advancing Multimodal Reasoning Capabilities of Multimodal Large Language Models via Visual Perception Reward
Xiao, T., XU, X., Huang, Z., Gao, H., Liu, Q., Liu, Q. & Chen, E., 11 Apr 2026. 31 p.Research output: Contribution to conference › Conference Paper › peer-review
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A generalized ENO reconstruction in compact GKS for compressible flow simulations
Zhao, F. & Xu, K., 15 Mar 2026, In: Journal of Computational Physics. 549, 114612.Research output: Contribution to journal › Journal Article › peer-review
1 Link opens in a new tab Citation (Scopus)
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Mathematical Theory of Interface modes in Topological Photonic
ZHANG, H. (Invited speaker)
26 Oct 2026Activity: Talk or presentation › Invited
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Ehrhart quasi-polynomials of rational polytopes by real dilations
CAO, Y. (Invited speaker)
13 May 2026Activity: Talk or presentation › Invited
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A Spinorial Perelman Functional and Its Gradient Flows
CHOW, T. K. A. (Invited speaker)
3 Apr 2026Activity: Talk or presentation › Invited
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Jordan Algebra and Generalized Kepler Problem
MENG, G. (Invited speaker)
28 Mar 2026Activity: Talk or presentation › Invited
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Combinatorial Disk Tiling
LI, K. K. (Invited speaker)
16 Mar 2026Activity: Talk or presentation › Contributed
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Finding Low-Rank Matrix Weights in Deep Neural Networks via Riemannian Optimization: RAdaGrad and RAadmW
CAI, J. (Invited speaker)
19 Dec 2025 → 22 Dec 2025Activity: Talk or presentation › Invited
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On the nonlinear instability and submesoscale turbulence for western boundary currents and undercurrents
CHEN, X. (Invited speaker) & GAN, J. (Contributor)
15 Dec 2025 → 19 Dec 2025Activity: Talk or presentation › Contributed
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the 2025 Symposium on Number Theory and Arithmetic Geometry
MIN, Y. (Contributor)
15 Dec 2025 → 19 Dec 2025Activity: Talk or presentation › Contributed
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Mathematical Theory of Topological Photonic
ZHANG, H. (Invited speaker)
6 Dec 2025 → 7 Dec 2025Activity: Talk or presentation › Invited
Awards
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Lo Family Postgraduate Scholarship 2025/26
LIU, Y. (Recipient), 28 Apr 2026
Prize: Other Research Award and Prize
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2025 Hong Kong Mathematical Society Young Scholar Award
Reintjes, M. (Recipient) & ZHANG, H. (Recipient), May 2025
Prize: Honorary Award
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Freetech Industrial Research award for Postgraduates
ZHANG, Y. (Recipient), Jul 2025
Prize: Other Research Award and Prize
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Courses
Student theses
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(O(Cn), Spin(C¡))-Duality on exterior algebra
Ng, M.-F. (Author), 1996Student thesis: Master's thesis
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2D numerical simulation of convective overshooting and mixing
Mui, J. S. K. (Author), 2003Student thesis: Master's thesis
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2-to-1 Functions over Finite Fields
KOUSAR, F. (Author), XIONG, M. (Supervisor), 2025Student thesis: Doctoral thesis
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A cell based particle method for modeling dynamic interfaces
Hon, Y. S. (Author), 2014Student thesis: Master's thesis
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A characterization of the unitary highest weight modules by Euclidean Jordan algebras
Bai, Z. (Author), 2013Student thesis: Doctoral thesis
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A class of Ramanujan graphs constructed from nilpotent matrices
Chan, V. O. (Author), 2015Student thesis: Master's thesis
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A comprehensive load balancing system for electric vehicle charging : architecture, local communication protocol and algorithm
KONG, W. (Author), ZHANG, J. (Supervisor) & CHEN, K. (Supervisor), 2024Student thesis: Master's thesis
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A computational estimation of errors in model genomes using exactly duplicated DNA sequences
Siu, K.-M. (Author), 2005Student thesis: Master's thesis