School of SCIENCE 9 8 Master of Philosophy in Mathematics The MPhil program seeks to strengthen students’ general background in mathematics, and to expose students to mathematical research. A candidate for an MPhil degree is expected to demonstrate knowledge in the discipline and to synthesize and create new knowledge for the field. It can be a terminal degree or a preliminary degree leading to the PhD. MPhil Research Postgraduate Programs Research Foci math.hkust.edu.hk Algebra and Number Theory Representation theory of reductive groups, quantum groups, infinite dimensional Lie groups and Lie algebras and applications to mathematical physics and number theory. Geometry and Topology Algebraic geometry, differential geometry, low dimensional topology, equivariant topology, combinatorics and combinatorial topology, and geometrical structures in mathematical physics. Analysis and Differential Equations Complex analysis, exponential asymptotics, functional analysis, harmonic analysis, wavelets analysis, nonlinear equations and dynamical systems, integrable systems, fluid dynamics, and inverse problems. Applied and Computational Mathematics Modeling and simulation in fluid dynamics and materials science, computational fluid dynamics, multiscale modeling, kinetic theory, atomistic simulations, image processing, computational harmonic analysis, inverse problems and wave propagation, graph theory, optimization, evolutionary genetics, environmental science, numerical weather prediction, ocean and coastal modeling, numerical analysis, parallel algorithms, and numerical software. Financial Mathematics Asset allocation/management, derivative modeling, pricing and hedging and division or firm-wise risk management are traditional research areas. The recent trend of financial mathematics research is data driven, adopting methodologies of big data and machine learning. Probability and Statistics Time series and dependent data, resampling methodology, stochastic processes and stochastic analysis, and survival analysis, random matrix, statistical physics and high-dimensional statistics. Data Science Financial statistics, econometrics, statistical machine learning, statistical genetics and genomics, computational biology and bioinformatics, error in variables model, generalized linear models; biological and medical statistics, topological and geometric methods in data analysis.; mathematical data analysis, in terms of accuracy, running time, memory efficiency, scalability, or other computational measures. Department of Mathematics Facilities The Department enjoys a range of up-to-date computing facilities. Besides a laboratory with 40 high-end desktop PCs, there is also a High Performance Computing laboratory equipped with 190 powerful CPU- & GPUbased computer servers having 4.4 PFLOPS processing power and 1.5PB storage capacity. Moreover, the NVIDIA DGX SuperPOD Supercomputer in the Hong Kong campus and the Tianhe2 Supercomputer in the Guangzhou Fok Ying Tung Research Institute are also available. Enquiries MPhil and PhD Programs mathpg@ust.hk T : (852) 2358 7428 MSc in Financial Mathematics math.msc@ust.hk T : (852) 2358 7465 MSc in Mathematics for Educators maed@ust.hk T : (852) 2358 7465 MSc in Big Data Technology mscbdt@ust.hk T : (852) 2358 5772 MSc in Data-Driven Modeling mscddm@ust.hk T : (852) 2358 7354 MSc in Financial Technology mscfintech@ust.hk T : (852) 2358 8987 MSc Master of Science in Financial Technology Jointly run by Schools of Business and Management, Engineering and Science, the MSc program draws expertise from areas such as information technology, blockchain, data science, machine learning and decision analytics. It provides students with fundamental knowledge and essential skills relating to popular financial technologies and their engineering and financial principles, thereby enhancing their market competitiveness in the booming field. seng.hkust.edu.hk/msc/fintech MSc MSc Taught Postgraduate Programs Master of Science in Mathematics for Educators Mathematics is vital for developing a deep understanding of quantitative concepts and enhancing logical reasoning skills. It serves as a robust and powerful tool across various fields including science, engineering, and finance. The MSc program is designed specifically to enrich the knowledge of mathematics educators, focusing particularly on secondary school teachers and tutors from educational institutes. We aim to deepen their mathematical understanding, empowering them to inspire and educate future generations with greater effectiveness. www.math.hkust.edu.hk/maed Master of Science in Data-Driven Modeling Jointly offered by the Departments of Physics and Mathematics, the program aims to cultivate the next generation to have strong skills in problemsolving and logical thinking so that they become competent in the data science sector. By bridging theory, practice and techniques, the program provides students with hands-on experience in analyzing large amounts of data, thereby providing valuable insights to understand complex situations and facilitating smart decision making for businesses, industries and services. msdm.hkust.edu.hk MSc Master of Science in Financial Mathematics Financial mathematics is an amalgam of mathematics, statistics, finance theory and computer science to bring efficiency and rigor to financial markets and the investment process. The MSc program is continuously enhanced with new courses in machine learning and Blockchain technology, among others, to connect to emerging trends in quantitative finance. mafm.hkust.edu.hk Master of Science in Big Data Technology Big data is poised to change the way enterprises function and a society operates, and is changing the way science and engineering is conducted. Jointly offered by the Departments of Computer Science and Engineering and Mathematics, the MSc program integrates different disciplines together to allow students to know all the important aspects of the big data and how it is used in the real world. seng.hkust.edu.hk/msc/bdt MSc Doctor of Philosophy in Mathematics The PhD program seeks to train postgraduate students to carry out original research, and to cultivate independent and innovative thinking. A candidate for a PhD degree is expected to demonstrate mastery of knowledge in the chosen discipline and to synthesize and create new knowledge, making an original and substantial contribution to the discipline. PhD
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