
20080319Workshop on Statistical Methodology of Microarray DataInvisibility
Prof. Gunther Uhlmann ( Department of Atmospheric Sciences, University of Washington, USA )2008  03  19 (Wed.)
10:00  11:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)We describe construction of electromagnetic parameters that make objects invisible to electromagnetic waves. 
20080319Workshop on Statistical Methodology of Microarray DataSmall volume imaging
Prof. Hyeonbae Kang ( Inha University, South Korea )2008  03  19 (Wed.)
14:00  15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)Lecture 1. Method of Small Volume Expansions and its Applications to Medical Imaging I will explain the mathematical theory of the small volume expansions in the context of the conductivity equation, which is the simplest possible model. I then discuss how this mathematical theory can be applied to an electrical impedance tomography problem to detect small inclusions buried inside a body. Lecture 2. Mathematical Analysis for MRElastography and Applications MRElastography is a recent modality to image the internal part of body using the internal measurements of the displacement vectors. One of the advantages of the imaging method using MRE over other methods is that it can detect the stiffness parameter of the tissue, by which we can distinguish malign cancer from benign cancer. In this lecture I will explain a new method of reconstruction using MRE data. Lecture 3. New reconstruction methods for Magnetoacoustic Imaging. A new and promising technique in the medical imaging is to excite a local part of body using acoustic or ultrasonic focusing and to measure changes due to the excitation. I will explain new reconstruction methods for the Magnetoacoustic imaging and the vibration potential tomography. 
20080319InvisibilityGunther Uhlmann20080319
10:00:00  11:00:00Invisibility308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080319Reconstruction methods for inverse problemsGen Nakamura20080319
11:20:00  12:20:00Reconstruction methods for inverse problems308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080319Small volume imagingHyeonbae Kang20080319
14:00:00  15:00:00Small volume imaging308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080319Minicourse on Inverse ProblemsMarch 19  21, 2008
Room 308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080318Geometric AnalysisRicci flow
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  03  18 (Tue.)
09:10  12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080318Statistical MethodologyModel Checking for ROC Regression Analysis2008  03  18 (Tue.)
13:30  15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)An overview of the paper “Model Checking for ROC Regression Analysis” by Cai and Zheng (2007) is given. A possible research topic and extension is also explored in this talk. 
20080318Model Checking for ROC Regression Analysis20080318
13:30:00  15:00:00 Model Checking for ROC Regression Analysis405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080318Ricci flowChangShou Lin 20080318
09:10:00  12:00:00 Ricci flow 405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080314An Brief Introduction to Inverse Problems and InvisibilityProf. JennNan Wang ( Department of Mathematics, National Taiwan University )

20080314New Euler sums with two branchesProf. Minking Eie ( National Chung Cheng University )

20080314Computational Science on MedicineModelling, Simulation and ApplicationScientific Computing on HemodynamicsComputational Challenges and its Application to Surgical Planning for Cardiovascular Diseases
Prof. Tony WenHann Sheu ( Department of Engineering Science and Ocean Engineering, National Taiwan University )2008  03  14 (Fri.)
15:00  16:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080314Seminar on multiscale Analysis and ComputationMultiscale modeling, asymptotic analysis, and their applications in finance (I,II)
Prof. ChuanHsiang Han ( Department of Quantitative Finance, National Tsing Hua University )2008  03  14 (Fri.)
10:20  12:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)During the last two decades, financial mathematics has emerging as an active branch in applied mathematics. Problems arising from modern finance are often resolved from applications of various techniques including probability and statistics, differential equations, optimization and control theory, scientific computations, etc. In this talk, the evaluation of financial derivatives under an incomplete market is treated by two approaches. First, multiscale modeling in volatility processes is shown to be powerful for calibration to the term structure of implied volatility surface. In mathematical terms, an inverse problem is solved from asymptotics of a PDE by means of singular and regular perturbations. Second, we consider the usage of Monte Carlo and Quasi Monte Carlo simulations to solve high dimensional PDEs. A variance reduction method, namely the martingale control variate method is proposed to improve the convergent speed. The martingale control comprises of a low dimensional PDE obtained from the homogenization of multiple time scales. This method turns out to be general enough to solve for variational inequalities. In financial terms, a delta hedging portfolio is effective to reduce the risk of a financial derivative. In the end, some challenging problems are discussed. 
20080314New Euler sums with two branchesMinking Eie 20080314
14:30:00  15:20:00 New Euler sums with two branches308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080314An Brief Introduction to Inverse Problems and InvisibilityJennNan Wang 20080314
13:30:00  14:30:00 An Brief Introduction to Inverse Problems and Invisibility405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080314Multiscale modeling, asymptotic analysis, and their applications in finance (I,II)ChuanHsiang Han 20080314
10:20:00  12:00:00 Multiscale modeling, asymptotic analysis, and their applications in finance (I,II)308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080314Scientific Computing on HemodynamicsComputational Challenges and its Application to Surgical Planning for Cardiovascular DiseasesTony Sheu 20080314
15:00:00  16:00:00 Scientific Computing on HemodynamicsComputational Challenges and its Application to Surgical Planning for Cardiovascular Diseases405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313PDE and Mathematical PhysicsChernSimonsHiggs Models in Superconductivity (2)
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  03  13 (Thu.)
11:10  12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Seminar on Graph ColoringInformal Discussions
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008  03  13 (Thu.)
13:30  15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Seminar on Graph ColoringInformal Discussions
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008  03  13 (Thu.)
10:10  12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Student seminar on differential geometrySeminar on Differential Geometry
Prof. YuChao Tu ( University of Utah, USA )2008  03  13 (Thu.)
19:00  20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)我們希望集合一些大學部學生或碩博士生一起學Differential Geometry，從基礎的領域：manifolds, variation,curvatures, Jacobian fields,fundamental form 等，到一些進階的領域如comparison theorems,Toponogov's theorem, Homonic functions, Eigenvalue problems, heat kernels,deformation, conformality 等。目的是對 Differential Geometry 有一個基礎而多方面的認識，瞭解其在歷史上和 現在的一些重要課題。 
20080313Seminar on Parabolic PDESome topics in the study of parabolic equations
Prof. JongShenq Guo ( Tamkang University )2008  03  13 (Thu.)
14:00  15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Seminar on Differential GeometryYuChao Tu 20080313
19:00:00  20:30:00 Seminar on Differential Geometry405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Some topics in the study of parabolic equationsJongShenq Guo 20080313
14:00:00  15:00:00 Some topics in the study of parabolic equations308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313ChernSimonsHiggs Models in Superconductivity (2)ChangShou Lin 20080313
11:10:00  12:20:00 ChernSimonsHiggs Models in Superconductivity (2)308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Informal DiscussionsXuding Zhu 20080313
10:10:00  12:00:00 Informal Discussions405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Informal DiscussionsXuding Zhu 20080313
13:30:00  15:30:00 Informal Discussions405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080312Physics and mathematics of dispersive shock waves: An introductionPhysics and mathematics of dispersive shocks: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008  03  12 (Wed.)
15:30  17:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)In this lecture, we shall study nonlinear effects by Riemann's method applied to onedimensional compressible fluid dynamics equations. Riemann invariants will be introduced for this system. Solution of the resulted equations will be found by the hodograph method. The method will be illustrated by examples of dam problem and expansion of a gas slab. 
20080312Physics and mathematics of dispersive shocks: An introductionAnatoly Kamchatnov 20080312
15:30:00  17:20:00 Physics and mathematics of dispersive shocks: An introduction405 , Mathematics Research Center Building (ori. New Math. Bldg.)