These programmes provide comprehensive training in research in various areas of mathematical sciences presently being carried out at the institute. These include but are not limited to areas like algebra, analysis, artificial intelligence, atomic collision processes, combinatorics, computer-aided graphics design, differential geometry, mathematical modelling, mathematics education, multivariate methods, non-linear regression, numerical analysis, optimization, quantum collision and tunelling processes, statistical distributions and modelling, stochastic processes and investment. A list of the staff members with a brief description of their research interests is given below. Prospective candidates are requested to contact the staff members directly for a possible research topic. Alternatively, a research proposal may be submitted for consideration.

• Analysis & Differential Geometry
  [Kon Song How; shkon@um.edu.my]
  Banach spaces of holomorphic functions on the polydisc, CR-submanifolds in nearly Kaehler and Kaehler manifolds and various structures on manifolds.
• [Loo Tee How;lteehowl@yahoo.com]
  Theory of Submanifolds in Riemannian Geometry.

·         Approximation Theory
[Daud Yahaya; dyss@um.edu.my]
Polynomial interpolation on triangular region.

·          Cohomology of Finite Groups & Ring Theory
[Angelina Chin Yan Mui; acym@um.edu.my]

·         Linear & Multilinear Algebra, Matrix & Operator Theory
[Chooi Wai Leong; wlchooi@um.edu.my]
Specialised in Preserver Problems on Matrices and Geometry of Matrices.

·         Analysis, Number Theory, Cryptography
[Onn Shea Ming; onnsm@um.edu.my]

·         Combinatorial Group Theory
[Wong Peng Choon; wongpc@um.edu.my]
To determine the structure and properties of various classes of infinite groups and the solvability of certain Decision Problems like the Word Problem for various classes of infinite groups. [Mohd. Bakri Zubir; mbakri@um.edu.my]

• [Wong Kok Bin; kbwong@um.edu.my]
  Combinatorial Group Theory that deals with some decision problems like Word Problem, Conjugacy Problem and Isomorphism Problem.

·          Computer Aided Geometric Design
[Wan Ainun Mior Othman; wanainun@um.edu.my,
Mohd. Khanafiah Ismail; mkhana@um.edu.my

·          Discriminant Analysis
[Omar Mohd. Rijal;  omarrija@um.edu.my]

·          Genetic Algorithm
[Noor Hasnah Moin; noor_hasnah@um.edu.my]

·          Graph Theory & Combinatorial Designs
[Chia Gek Ling; glchia@um.edu.my]
To investigate discrete problems in mathematics with emphasis on graph theory and combinatorial designs.

·          Graph Theory
[Deng Chai Ling; cldeng @um.edu.my]

·          Linear Programming & Optimal Control
[Nordin Hj. Mohamad; nordinhm@um.edu.my]

·          Mathematical Modelling in Biology
[Che Wan Mariam Saad; cwmariam@um.edu.my]

·          Mathematical Modelling of Electrochemical System, Cryptography, Algebraic Methods in Physics
[Amran Hussin; amran@um.edu.my]

·          Mathematics & Fluid Mechanics
[Md. Abu Omar Awang; mao@um.edu.my]
Mathematics and its applications, especially in fluid dynamics, coastal engineering and mathematical modelling.

·          Nuclear Reaction Theory & Quantum Tunelling Processes
[Bernardine Wong Cheng Kiat; bernardr@um.edu.my]
Theoretical description of nuclear reactions induced by the collisions of heavy ions at low and intermediate energies, in particular inelastic scattering and transfer reactions studied within the direct  reaction framework.

·          Numerical Methods
[Rio Hirowati Shariffudin; hirowati@um.edu.my]

·          Operational Research
[Mohd. Omar; mohd@um.edu.my]
Inventory and production scheduling to satisfy time-varying demand market. The demand varies either deterministically or stochastically.

·          Optimization & Numerical Methods
[Abdul Halim Abdul Rashid; ahar@um.edu.my]

·          Probabilistic Distribution Theory and Mixture Modelling, Data Mining and Statistical Data Analysis, Simulation and Computation, Image Analysis and Applications of Special Functions
[Ong Seng Huat; ongsh@um.edu.my]
Discrete distributions, especially mixture models, and application of mixtures in computations and simulation; inflation of zero and over-dispersion in discrete distributions, very long-tailed discrete distributions (species abundance models and sample unique), generalization of log-series distribution; special functions and applications (probabilistic proofs; image analysis); data mining and statistical analysis of data, particularly bio-medical data.

·          Probability & Problem Solving
[Abdul Hadi Yaakub; abdhady@um.edu.my]
Developing strategies involving certain processes and techniques to assist students in solving probability problems in mathematics curriculum.

·          Quantum Collision Processes
[Kuru Ratnavelu; kuru@um.edu.my]
3-body Coulomb Problem: Electron and positron collision with atoms. Numerical solution of large-scale coupled differential and integral systems.

·          Robust Statistics & Applied Statistics
[Nor Aishah Hamzah; aishah_hamzah@um.edu.my]
Robust statistics particularly in parameter and interval estimation  for generalised linear models. Applications of statistical techniques in medical and educational research.

·          Regression Analysis & Applied Stochastic Processes
[Pooi Ah Hin; ahpooi@um.edu.my]
Effects of nonlinearity on the coverage probability of confidence intervals and expected coverage of prediction intervals in nonlinear models. Logistic regression models. Queueing models.

·          [Wu Swee Leng;wusl@um.edu.my]
Regression analysis on nonlinear models and logistic models.
Educational and statistical software development.

·          Nonlinear Regression, Statistical Computing
[Lim Mang Hian; lmhian@um.edu.my]

·          Regression Analysis, Statistical Computing
[Ng Kok Haur ; kokhaur@um.edu.my]

·          Statistical Computing
[Nik Ahmad Kamal Nik Amin; mymailbox@um.edu.my]

·          Statistical Quality Control
[Sim Chiaw Hock; simch@um.edu.my]
Statistical methods for improving the quality of products and services.

·          Soliton & Computer Based Learning
[Siti Aishah Hashim Ali; saishah@um.edu.my]

·          Subclasses of Univalent Functions and Mathematics Education
[SuzeiniAbd.Halim; suzeini@um.edu.my]
Properties for univalent functions belonging to subclasses. Study of factors influencing students (aged 10-12 years) interests/achievements/perfomance in mathematics.

·          Time Series Analysis
[Ibrahim Mohamed;  imohamed@um.edu.my]
Nonlinear time series, bilinear model using Bayesian approach, application on hydrological and climatological data; survival analysis; application on censored medical data; statistical application on biological data.