My research concentrate on computational algebraic geometry and scientific computing, especially on developing symbolic-numeric algorithms to singularity problems in computational (real) algebraic geometry and applying the algorithms in the related field (geometric modeling, convex optimization and etc.).  I'm also interested in computer vision and machine learning, especially on image stitching and convolutional neural network.  See my CV for details on my research experience and my publications page for preprints of all the papers I have written.