QI YE

Department of Mathematics
Syracuse University

215 Carnegie Building, Syracuse NY 13244
Tel 315-443-1498, Fax 315-443-1475
Email: qiye at syr.edu and yeqi.iit at gmail.com


POSTDOC POSITION

Philip T. Church Postdoc
Department of Mathematics, Syracuse University, 2012 - current,
Joint work with Dr. Yuesheng Xu and Dr. Lixin Shen


TEACHING

Introduction to Scientific Computing (MAT 581), Fall 2014

First Course in Linear Algebra (MAT 331), Fall 2014

Calculus For The Life Science (MAT 286), Fall 2012, Spring 2014

Differential Equations and Matrix Algebra for Engineers (MAT 485), Spring 2013, Spring 2014

Calculus III (MAT 397), Fall 2013


EDUCATION

Doctor of Philosophy
Applied Mathematics, Illinois Institute of Technology (IIT), Graduation Date: May 2012
Advisor: Dr. Gregory E. Fasshauer
Thesis Title: Analyzing reproducing kernel approximation methods via a Green function approach,
Thesis 2nd version (corrections of Section 6.2), Correction manual of original and library version
Keywords: meshfree method, reproducing kernel, Green function, Green kernel, conditionally positive definite function, positive definite kernel, reproducing kernel Hilbert space, reproducing kernel Banach space, generalized Sobolev space, kernel-based collocation method, stochastic field, Gaussian field, Gaussian process, partial differential equation, stochastic partial differential equation.

Master of Science (partial course work)
Mathematical Science, South China Normal University (SCNU), Sep. 2006 - Jul. 2007, partial courses work, completed 18 credits
Advisor: Dr. Liren Huang
Research Topic: Optimization Computation with Generalized Derivatives

Bachelor of Science
Mathematical Science, South China Normal University (SCNU), Graduation Date: Jul. 2006
Bachelor Thesis: Application of Generalized Gradients in Optimization Theory


GENEALOGY


RESEARCH INTERESTS


RESEARCH ACTIVITIES

PAPERS:

Green Functions and Reproducing Kernels:

Support Vector Machines: Stochastic Partial Differential Equations: Random Dynamical Systems: Image Proessing: Others:

PROJECTS:


PRESENTATIONS AND CONFERENCES

Kernel-based Approximation Methods for Stochastic Partial Differential Equations
International Conference on Spectral and High-Order Methods 2014, June 23-27 2014, Salt Lake City, UT .
Kernel-based Approximation Methods for Stochastic Partial Differential Equations
5th International Conference on Computational Harmonic Analysis, May 19-23 2014, Nashville, TN.
Solving Stochastic Partial Differential Equations with L\'evy Noises via A Kernel-based Approximation Method
International Conference on Approximation Theory and Applications, May 20-24 2013, Hong Kong.
Solving Support Vector Machines in Reproducing Kernel Banach Spaces with Mat\'ern Functions
14th International Conference Approximation Theory, Apr 7-10 2013, San Antonio, TX.
Approximation of Stochastic Partial Differential Equations by a Kernel-based Collocation Method
3rd New York Conference on Applied Mathematics (3rd NYCAM), Oct 13 2012, Troy, NY.
Midwest Numerical Analysis Day (NWNA Day) 2012, May 12-13 2012, Notre Dame, IN, Attended.
Approximation of Stochastic Partial Differential Equations by a Kernel-based Collocation Method
the Tenth International Conference on Monte Carlo and Quasi-Monte Carlo Methods, Feb 13-17, 2012, Sydney, Australia.
Approximation of Stochastic Partial Differential Equations by a Kernel-based Collocation Method
2012 Joint Mathematics Meeting: AMS-SIAM Special Session on the Mathematics of Computation, Jan 4-7, 2012, Boston MA.
Approximation of Stochastic Partial Differential Equations by a Kernel-based Collocation Method
Sixth International Workshop of Meshfree Methods for Partial Differential Equations, Oct 4-6, 2011, Bonn, Germany.
Approximation of Nonlinear Partial Differential Equations by Gaussian Processes via Mat\'ern Functions
7th International Congress on Industrial and Applied Mathematics (ICIAM2011), July 18-22 2011, Vancouver, BC Canada.
Midwest Numerical Analysis Day (NWNA Day) 2011, May 7-8 2011, West Lafayette, IN, Attended.
Approximation of Linear Stochaitic Partial Differential Equations by Gaussian Processes via Mat\'ern Functions (Poster)
Recent Advances in the Numerical Approximation of Stochastic Partial Differential Equations, August 9-13 2010, Chicago, IL.
Approximation of Linear Partial Differential Equations by Gaussian Processes via Mat\'ern Functions
2010 SIAM Annual Meeting, July 12-16 2010, Pittsburgh, PA.
Approximating Stable and Unstable Manifolds of 2D Stochastic Dynamical Systems via Reproducing Kernels
Midwest Numerical Analysis Day (NWNA Day) 2010, April 24-25 2010, Ames, IA.
A Green Function Approach to (Conditionally) Positive Definite Functions and Reproducing Kernels of Generalized Sobolev spaces
13th International Conference Approximation Theory, March 7-10 2010, San Antonio, TX.
Reproducing Kernels of Generalized Sobolev Spaces via a Green Function Approach
2009 Joint Midwest Numerical Analysis Day and SIAM Great Lakes Numerical PDEs Spring Conference, April 17-18 2009, Detroit, MI.
Midwest Numerical Analysis Day (NWNA Day) 2008, May 3 2008, St. Paul, MN, Attended.

CONFERENCES ORGANIZATION

IIT SIAM 2011: Recent Advances in Computational Science and Statistics, October 29-30 2011, Chicago IL, USA




TRAVEL

Visit to Department of Mathematics, Cornell University on Apr 7 2014
Talk: Kernel-based approximation method and its application

Visit to School of Mathematics & Computational Science, Sun Yat-Sen University on May 27 - July 31 2013

Visit to Huazhong University of Science and Technology on December 29-31 2010 (Thanks for the invitation Dr. Xu Sun.)
Talk: Tutorial of Meshfree Approximation Method, PDF

Visit to Department of Mathematics, University of Iowa on June 21-25 2010 (dicussing with Dr. Kendall E. Atkinson)


AWARDS


COMPUTER SKILLS

Fluent in C++ and Matlab/Maple/Mathematica


PAST TEACHING EXPERIENCES

Teaching Assistant of Probability and Statistics (Math 474 & 563), Applied Analysis (Math 500), Dynamical Systems (Math 515), Computational Mathematics (Math 577), and etc. at Illinois Institute of Technology, 2007-2012

Internship at South China Institute of Software Engineering, Guangzhou University, 2006


LEADERSHIP

President of Illinois Institute of Technology Chapter of SIAM in 2011


MEMBERSHIP

Society for Industrial and Applied Mathematics (SIAM)

Sigma Xi, The Scientific Research Society


ACTIVITY PHOTO

SIAM Annual 2012 Student Days Power Point Presentation

Facebook of IIT SIAM

Monte Carlo's Gallery, 2012


OTHER WEB SITES

Numerical Analysis in the Midwest

Society for Industrial and Applied Mathematics (SIAM)

Sigma Xi, The Scientific Research Society

Mathematical Association of America (MAA)

American Mathematical Society (AMS)

International Council for Industrial and Applied Mathematics (ICIAM)

Numerische Mathematik, Springer

The New York Review of Books