Calendar 2005–06

356 Part 5 • Department Profiles and Programmes of Studies Division of Mathematics MPhil–PhD Programme PhD Stream Fields of Specialization (A) Algebra 1. Algebraic Geometry 2. Commutative Algebra 3. Algebraic Number Theory 4. Classical Groups 5. Algebraic Manifolds 6. Moduli of Algebraic Manifolds and Hodge Theory (B) Analysis 1. Convex Analysis and Nonsmooth Optimization 2. Fractals and Wavelets 3. Harmonic Analysis 4. Operator Algebra (C) Applied Analysis 1. Applied Partial Differential Equations 2. Financial Engineering 3. Fluid Dynamics 4. Mathematical Physics 5. Mathematical Biology 6. Nonlinear Evolution Equations (D) Computational Mathematics 1. Numerical Analysis 2. Equations and Linear Algebra 3. Image Processing 4. Optimization 5. Inverse Problems (E) Geometric Analysis 1. Differential Geometry 2. Several Complex Variables 3. Nonlinear Analysis on Manifolds MPhil Stream Fields of Specialization Same as those for the PhD programme. MSc Programme in Mathematics This is a taught programme. Students are required to take at least 24 units of courses, the selection of which is subject to the approval of the division.