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List of Graduate Courses


All courses have 3 units of credit unless specified by a number in ( )

1 Homology Theory
2 Ordinary Differential Equations
3 Differential Geometry of Fiber Bundles
4 Differential Manifolds
5 Multivariable Complex Functions
6 Algebraic Combinatorial Theory
7 Finite Field
8 Representation Theory of Groups
9 Theory of Finite Groups
10 Selected Topics in Group Theory
11 Methods of Modern Mathematical Physics

12 Selected Topics on ODEs
13 Geometric Analysis
14 The Calculus of Variations
15 Hyperbolic Partial Differential Equations
16 Abstract Algebra (4)
17 Complex Analysis
18 Partial Differential Equations
19 Topics in Geometric Topology
20 Low Dimensional Topology
21 Homological Algebra
22 Smooth Ergodic Theory
23 Modern Harmonic Analysis and Application
24 Low Dimensional Topology II
25 Symplectic Geometry
26 Introduction to Noncommutative Geometry
27 Geometry Analysis II
28 Group Theory
29 Elliptic partial differential equations of second order
30 Linear Algebraic Groups
31 Riemannian Geometry I
32 Differential Topology
33 Functional Analysis II
34 Real Analysis
35 Foundations of Nonlinear Analysis
36 Homotopy Theory
37 Algebraic Number Theory
38 Combinatorial Mathematics
39 Applied Stochastic Processes
40 Differential Geometry
41 Abstract Algebra II
42 Differential Manifolds (1)
43 Elementary Number Theory
44 Riemannian Surfaces
45 Commutative Algebra

46 Mathematical Methods in Classical Mechanics
47 Introduction to the convergence and collapsing theory in Riemannian geometry
48 Basic Algebraic Geometry
49 Lie Groups and Representations
50 Harmonic Analysis
51 Dynamical Systems
52 Lie Groups and Homogeneous Spaces
53 Topology
54 Partial Differential Equations
55 Qualitative theory of differentiable dynamical systems
56 Algebraic Geometry II
57 Representation Theory of Lie Groups and Lie Algedras
58 Topics in Partial Differential Equations
59 Topics in Algebra
60 Selected topics in Algebraic Topology
61 Modular Forms (1)
62 Ergodic Theory
63 Cryptology
64 Riemannian Geometry II
65 Morse Theory
66 Number Theory I
67 Introduction to Geometric Group Theory
68 Several Complex Variables (2)
69 From Icosahedron to the Monster: Geometry, Algebra, Arithmetic and Physics (2)
70 Floer Homology and Low-dimensional Topology

71 Kaehler Geometry
72 Lectures on Applied Partial Differential Equations
73 Geometry of Manifolds
74 Analytic Number Theory
75 Arithmetic of Modular Forms
76 Comparison Theorems in Riemannian Geometry
77 The Monge-Ampère Equation and Affine Differential Geometry
78 Topics in Modern Mathematical Physics
79 Introduction to Conformal Field Theory
80 Hyperbolic Geometry
81 Kaehler Geometry of Loop Spaces
82 Introduction to Contact Topology
83 Basis of Algebraic Geometry
84 Motives,Hodge Theory and Galois Representations (2)
85 Introduction to Characteristic Classes and Index Theory (2)
86 Foliations
87 Topics in Algebraic Geometry
88 Selected Topics in Differential Topology
89 Topics in Modern Mathematical Physics II (2)
90 Reflection Groups and Coxeter Groups
91 An Introduction to Classical Groups
92 Applied Partial Equations
93 Mathematical Biophysics
94 Multigrid adaptive finite element methods (2)
95 Stochastic Simulation Methods

96 Fluid Mechanics II
97 Theories and Methods for Optimization
98 Computational Fluid Dynamics
99 Numerical Algebra II
100 Parallel Computation II
101 Multiscale Modeling and Computation
102 Finite Element Method II
103 Applied PDE (2)
104 Introduction to Fluid Mechanics I
105 Inverse Problem of Mathematical Physics
106 Numerical PDE
107 Convex Optimization
108 Topics in Stochastic Modeling and Simulations
109 Selected Multilevel Algorithms and Randomized Algorithms
110 Algorithms for Big Data Analysis
111 Computational Systems Biology
112 Optimization Methods
113 Simulation and Monte-Carlo Methods
114 Finite Difference Method II
115 Algorithms for Combinatorial Optimization
116 Topics in Distributed Computing and Network
117 CAD in Control Systems
118 Boundary Integral Method
119 Spatial Tessellations and Topics in Computational Geometry (2)
120 Numerical solutions of ordinary differential equations (2)
121 Quantitative Analysis for Derivatives of Credit and Interest Rate (2)
122 Structure-preserving Discretization and Multi-scale Solution Methods for Differential Forms and Equations
123 Nonparametric Statistics
124 Biostatistics
125 Random Point Process

126 Selected Topics on Stochastic Processes I
127 Stochastic Processes
128 Advanced Time Series Analysis
129 Advanced Regression Analysis
130 Case Study of Probability and Statistics
131 Advanced Theory of Probability
132 Sampling Survey
133 Advanced Theory of Probability
134 Stochastic Processes
135 Experimental Design
136 Semiparametric Model
137 Stochastic Processes II
138 Applied stochastic analysis
139 Advanced Theory of Statistics
140 Measure Theory
141 Advanced Statistical Computation
142 Stochastic Analysis
143 Advanced Theory of Statistics
144 Limit Theorems of Probability
145 Survival Analysis and Reliability Theory

146 Multivariate Statistical Analysis
147 Applied Time Series Analysis
148 Probability Theory
149 Clinical Trial Design and Analysis
150 SAS Programming in Clinical Trials
151 Selected Topics on Advanced Statistics I
152 Selected Topics on Advanced Statistics II
153 Selected Topics on Stochastic Processes II
154 Mathematics of Data
155 Applied Regression Analysis
156 Distributed Computation for Big Data
157 Statistical Inference
158 Advanced Statistical Software Programming
159 Statistical Bases for Big Data Analysis
160 Stochastic Mathematics
161 Applied Survey Sampling
162 Data Mining and Machine Learning for Big Data
163 Bayesian Theory and Computation
164 Applied Design of Experiments
165 Case Study of Statistics
166 Modern Statistical Data Analysis
167 Unstructured Big Data Analysis
168 Statistical Modeling for Big Data
169 High-Dimensional Data Analysis and Statistical Inference
170 Computer Bases for Big Data Analysis

171 Unstructured Big Data Analysis
172 Statistical Learning
173 Applied Multivariate Statistical Analysis
174 Quantile Regression Analysis
175 Introduction to Stochastic Processes
176 Stochastic Processes and Statistical Mechanics
177 Causal Inference and Big Data in Statistics (2)
178 Seminars on Data Science and Statistical Machine Learning
179 Sequential Analysis
180 Stochastic Dynamical Models in Life Sciences
181 Applied Survival Analysis
182 A Mathematical Introduction to Data Analysis
183 Categorical Data Analysis
184 Statistical Methods and Applications in Bioinformatics
185 Topics in Modern Information Processing
186 Coding Theory
187 Image Processing
188 Formal Methods in Software Development
189 Selected Topics on Software Theory and Methods
190 Symbolic Computation
191 Operation Research
192 Artificial Intelligence
193 Pattern Recognition
194 Formal Languages and Automata
195 Informatics and Signal Processing

196 Principles of Programming Languages
197 Design and Analysis of Algorithms
198 Mathematical Methods in Biomedical Imaging
199 Machine Learning
200 Fundamentals of Theoretical Computer Science
201 Artificial Neural Networks
202 Digital Signal Processing
203 Foundations of Information Science
204 Intelligent Computation
205 Information Security
206 Mathematical Logic
207 Digital Signal Processing
208 Spectral Methods
209 Computer Graphics
210 Data Mining
211 Mathematical Theory for Information Optics and Its Applications
212 Mathematical Image Processing
213 Mathematical Logic and Metamathematics
214 Mathematical methods in Risk Management
215 Advanced Statistical Models for Finance
216 Risk Management and Financial Regulation
217 Portfolio Management
218 Stochastic Mathematics in Finance
219 Financial Economics (2)
220 Mathematical Models and Methods of Financial Derivatives Pricing

221 Foundation of Economic Dynamics
222 Non-life Insurance Mathematics
223 Application of Actuarial Principles (2)
224 Analysis of Financial Time Series (2)
225 Topics on Financial Mathematics & Actuarial Science (2)
226 Derivative Model
227 Financial Risk Analysis
228 Risk Theory (2)
229 Seminar on Actuarial Science
230 Seminar on Security Investment
231 Seminar on Risk management
232 Seminar on Financial Statistics
233 Seminar on Derivative Pricing
234 Seminar on Asset Pricing
235 Theory and Practice of Risk Measurement (2)
236 Quantitative Trade (2)
237 Teaching Practice (2)