Ø      Ph.D., Mathematics, University of California, Los Angeles ( June 2004)

Dissertation: Fast Sweeping Methods for Static Hamilton-Jacobi Equations

Advisor: Stanley Osher

Ø      M.S., Applied Mechanics, National Taiwan University (June 1999)

Ø      B.S., Mathematics with a minor in Physics, National Taiwan University (June 1997)

Ø      IMA Industrial Postdoc (IMA,UMN) Sept. 2004 ~ now

Pursue interdisciplinary mathematical research at the IMA, especially in the areas of inverse problems and computational anatomy.

Ø      Faculty Mentor (IPAM, UCLA) Jun. 2004 ~ Aug. 2004

Advise students to do a summer research project in image processing for Areté Associates which is an advanced science and engineering company that provides innovative solutions to the most challenging technical problems faced by the United States (IPAM Research in Industrial Projects for Students (RIPS)

Ø      Research Assistant / Associate (UCLA) Apr. 2002 ~ Jun. 2004

Research on the numerical methods for Hamilton-Jacobi equations and Level Set applications on optimization problems

Ø      Research Assistant (National Taiwan University) Sept. 1997 ~ Jun. 1999

Research on Percolation theory and its application to random resistor network

Ø      Teaching Assistant /Associate (UCLA) Apr. 2000 ~ Mar. 2002

Math 31B Calculus and Analytic Geometry

Math 32A & 32B Calculus of Several Variables

Math 61 Introduction to Discrete Structures

Math 135A & 135B Ordinary Differential Equations

Math 151B Applied Numerical Methods

Math 266A Applied Ordinary Differential Equations

Math 269A Advanced Numerical Analysis

Ø      Teaching Assistant (National Taiwan University) Sept. 1998 ~ Jun. 1999

Course: Applied Partial Differential Equations

Ø      Teacher of Li-Wei Liu Math Center (Taiwan) Nov. 1993 ~ Jun. 1998

Teach high school students mathematics to prepare for University Entrance Exam

Ø      Inverse Problems

Ø      Computational Anatomy and Image Processing

Ø      Numerical Methods for Hamilton-Jacobi Equations and Conservation laws

Ø      Level Set Methods and its Applications

Ø      Numerical Analysis and Scientific Computing

Ø      Maximizing Band Gaps in Two Dimensional Photonic Crystals by Using Level Set Methods by Chiu-Yen Kao, Stanley Osher, and Eli Yablonovitch UCLA Math CAM Reports 05-05 (Applied Physics B: Lasers and Optics, 81, Pages 235-244,2005)

Ø      White Matter Tractography by Anisotropic Wavefront Evolution and Diffusion Tensor Imaging by Marcel Jackowski, Chiu Yen Kao, Maolin Qiu, R. Todd Constable, and Lawrence H. Staib UCLA Math CAM Reports 05-03 (Medical Image Analysis,9, Pages 427-440,2005)

Ø      The Lax-Friedrichs Sweeping Method for Optimal Control Problems in Continuous and Hybrid Dynamics by Chiu Yen Kao, Carmeliza Navasca, and Stanley Osher, UCLA Math CAM Reports 04-24 (Nonlinear Analysis, 63, Pages e1561-e1572,2005)

Ø      Estimation of Anatomical Connectivity by Anisotropic Front Propagation and Diffusion Tensor imaging by Marcel Jackowski, Chiu Yen Kao, Maolin Qiu, R. Todd Constable, and Lawrence H. Staib, UCLA Math CAM Reports 04-08 (MICCAI (2) 2004: Pages 663-670)

Ø      Lax-Friedrichs Sweeping Scheme for Static Hamilton-Jacobi Equations by Chiu Yen Kao, Stanley Osher and Jianliang Qian, UCLA Math CAM Report 03-38, (Journal of Computational Physics,196(1), Pages 367-391,2004)

Ø     Fast Sweeping Methods for Hamilton-Jacobi Equations by Chiu Yen Kao, Stanley Osher and Yen-His Tsai, UCLA Math CAM Reports 02-66 (SIAM Numerical Analysis, 42, Pages 2612-2632,2005)

Ø      Recognizing Sand Ripple Patterns from Side-scan Sonar Images by John David, Gunay Dogan, Yevgeny Goncharov, Chiu Yen Kao, and Pakinee Suwannajan, NCSU Reports, July 2002

Ø      A Geometric Method for Automatic Extraction of Sulcal Fundi by Chiu-Yen Kao, Michael Hofer, Guillermo Sapiro, Josh Stern, and David Rottenberg, IMA preprints 2078 (ISBI) , Apr, 2006

Ø     A Level Set Formulation for Visibility and its Discretization by Chiu-Yen Kao and  Richard Tsai, UCLA Math CAM Reports 06-04 (submitted to Numerische Mathematik)

Ø      A Geometric Method for Automatic Extraction of Sulcal Fundi by Chiu-Yen Kao, Michael Hofer, Guillermo Sapiro, Kelly Rehm, Josh Stern, and David Rottenberg, accepted by IEEE TMI, Apr 2006 (short version appeared in ISBI)

Ø     Incorporating Topological Derivatives into Shape Derivatives Based Level Set Methods by Lin He, Chiu-Yen Kao and Stanley Osher, IUCLA Math CAM Report 06-44 (2006) (submitted to Journal of Computational Physics)

Ø     Optimization of the Quality Factor of an Acoustic Resonator by Chiu-Yen Kao and Fadil Santosa, submitted to JCP (2006)

Ø     Inpainting Grayscale and Color Images by the Cahn-Hilliard Equation 

Ø     2006 IEEE Internation Symposium on Biomedical Imaging: From Nano to Macro, Arlington, Virginia(Apr. 9 2006)

A Geometric Method for Automatic Extraction of Sulcal Fundi 

Ø      University of California, Los Angeles, Department of Mathematics (Feb. 28 2006)

A Geometric Method for Automatic Extraction of Sulcal Fundi 

Ø      University of Massachusetts at Amherst, Department of Mathematics and Statistics (Feb. 7 2006)

A Geometric Method for Automatic Extraction of Sulcal Fundi 

Ø      University of Colorado at Denver and Health Sciences Center, Department of Mathematical Sciences (Jan. 30 2006)

A Geometric Method for Automatic Extraction of Sulcal Fundi 

Ø      Southern Methodist University, Department of Mathematics (Jan. 26 2006)

A Geometric Method for Automatic Extraction of Sulcal Fundi 

Ø      Illinois Institute of Technology, Applied Mathematics Department (Jan. 23 2006)

A Geometric Method for Automatic Extraction of Sulcal Fundi 

Ø      University of Central Florida, Department of Mathematics (Jan. 20 2006)

A Geometric Method for Automatic Extraction of Sulcal Fundi 

Ø      University of Notre Dame, Department of Mathematics (Jan. 17 2006)

A Geometric Method for Automatic Extraction of Sulcal Fundi 

Ø  University of Illinois at Chicago, Department of Mathematics, Statistics, and Computer Science (Jan. 13 2006)

A Geometric Method for Automatic Extraction of Sulcal Fundi 

Ø Ohio State University, Math Department (Jan. 9 2006)

A Geometric Method for Automatic Extraction of Sulcal Fundi 

Ø Georgia Tech, Math Department (Dec. 15 2005)

Sweeping Methods for Static Hamilton-Jacobi Equations and its Applications  

Ø      National Taiwan University, Math Department (Nov. 30 2005)

An Overview of Inverse Problems and Optimization of the Quality Factor of An Acoustic Resonator  

Ø      National Chiao Tung University, Math Department (Nov. 29 2005)

An Overview of Inverse Problems and Optimization of the Quality Factor of An Acoustic Resonator

Ø      SIAM Annual Meeting: New Orleans (Jul. 2005)

Maximizing Band Gaps in Two Dimensional Photonic Crystals by Using Level Set Methods

Ø      Applied Mathematics and Numerical Analysis Seminar, UMN Math Department (Oct. 2004)

Fast Sweeping Methods for Static Hamilton-Jacobi Equations

Ø      SIAM Annual Meeting: Portland (Jul. 2004)

Fast Sweeping Methods for Static Hamilton-Jacobi Equations

Ø      MURI On-Site Meeting at Stanford University (Feb. 2004)

Lax-Friedrich Sweeping Methods for Static Hamilton-Jacobi Equations

Ø      National Taiwan University, Math Department (Dec. 30 2003)

Level Set Methods and Hamilton-Jacobi Equations 

Ø      National Chiao Tung University, Math Department (Dec. 25 2003)

Level Set Methods and Hamilton-Jacobi Equations 

Ø      MURI On-Site Meeting at Stanford University (Jan. 2003)

Sweeping Methods for Static Hamilton-Jacobi Equations

Ø      Geometrically Based Motions Reunion Conference at Lake Arrowhead (Sept. 2002)

Sweeping Methods for Static Hamilton-Jacobi Equations

Ø      Industrial Mathematics Modeling Workshop at NCSU (Jul. 2002)

Recognizing Sand Ripple Patterns from Side-scan Sonar Images

Ø      Reviewer for Journal of Computational Physics

Ø      Reviewer for IEEE Transaction on Pattern Analysis and Machine Intelligence

Ø      Reviewer for Physics Letters A

Ø      Reviewer for Journal of Visual Communication and Image Representation

Ø      Reviewer for Kang-Ting Publishing Company, Taiwan (Mar. 1998 ~ Jun. 1998)

Review mathematics textbooks for high school education

Ø      Computer Languages: C++, Fortran, Matlab, Maple, Mathematica

Ø      Platforms: Windows, Unix, and Linux

Ø      American Mathematical Society

Ø      Society for Industrial and Applied Mathematics

Ø      Professor Stanley Osher, Department of Mathematics, UCLA

E-mail: sjo@math.ucla.edu  (thesis advisor)

Ø      Professor Fadil Santosa, Department of Mathematics, UMN

E-mail: santosa@ima.umn.edu  (current mentor in IMA)

Ø      Professor Guillermo Sapiro, Department of Electrical and Computer Engineering, UMN

E-mail: guille@ece.umn.edu

Ø      Professor Eli Yablonovitch, Department of Electrical Engineering, UCLA

E-mail: eliy@ee.ucla.edu

Ø      Professor Hailiang Liu, Department of Mathematics, Iowa State University
E-mail: hliu@iastate.edu