1. Collaboration Grants for Mathematicians. Simons Foundation, 2013-2018. $35000.
2. The Inversion Problem, Noncommutative Symmetric Functions and Combinatorics of Rooted Trees. American National Security Agency, 01/19/2011–01/18/2012. $17693.
3. The Inversion Problem, Noncommutative Symmetric Functions and Combinatorics of Rooted Trees. National Security Agency, 01/19/2010–01/18/2011. $17198.
4. Mathieu Subspaces of Representation Rings of Finite Groups and Semi-simple Algebras. Illinois State University Summer Faculty Fellowship, 2011. $5000.
5. Hessian Nilpotent Polynomials, Orthogonal Polynomials and Representations of Semi-simple Lie Groups. Illinois State University Summer Faculty Fellowship, 2009. $5000.
6．An American NSF (National Science Foundation) grant for the international conference “Vertex Operator Algebras and Related Topics”, joint with Gaywalee Yamskulna, July, 2008, $25,000.
7．Young Investigator Grant, American National Security Agency, 2007-2008, $14994.
8．Young Investigator Grant, American National Security Agency, 2006-2007, $14929.
9．International Travel Grant Program, Illinois State University, 2006, $500.
10．Pre-Tenure Faculty Initiative Grant, Illinois State University, 2004-2005, $2500.
11. New Faculty Initiative Grant, Illinois State University, 2003-2004, $2500.
Presentations (selected)
1. Invited speaker。Differential Equation and Differential Operator Approaches of the Jacobian Conjecture. Abhyankar 82nd Birthday Conference, Purdue University, West Lafayette. July 5-8, 2012.
2. Invited speaker。Mathieu Subspaces. Algebra and Algebraic Geometry Seminar, Purdue University, West Lafayette. Feb. 23, 2012.
3. Invited speaker。New Proofs for the Abhyankar-Gurjar Inversion Formula and the Equivalence of the Jacobian Conjecture and the Vanishing Conjecture. Algebra and Algebraic Geometry Seminar, Purdue University, West Lafayette. Feb. 16, 2012.
4．Invited speaker。Mathieu Subspaces. Affine Algebraic Geometry Day, July 5, 2011. Radboud University Nijmegen, The Netherlands.
5．Invited speaker。Mathieu Subspaces II. Algebra Seminar, Radboud University，Nijmegen, The Netherlands, April 19, 2010.
6．Invited speaker。Mathieu Subspaces I. Algebra Seminar, Radboud University, Nijmegen, The Netherlands, April 12, 2010.
7．Invited speaker。A Deformation of Commutative Polynomial Algebras in Even Numbers of Variables. Workshop and Conference on Automorphisms of Affine Spaces. Nijemgen, The Netherlands. July 06-11, 2009.
8．Invited speaker。Some Open Problems Raised by the Jacobian Conjecture。AMS sectional meeting at Kalamazoo, MI, Oct. 17-19, 2008.
9. Invited speaker。A Vanishing Conjecture on Differential Operators with Constant Coefficients。AMS meeting at Albuquerque, NM, Oct. 13-14, 2007.
10．Invited speaker。A Noncommutative Symmetric System over the Grossman-Larson Hopf Algebra of Labeled Rooted Trees。The Center of Combinatorics, Nankai University, China, Aug. 18, 2007.
11. Invited speaker。Some Remarks on the Jacobian Conjecture, Orthogonal Polynomials and Representation Theory, Algebraic Geometry Seminar,Washington University at St. Louis, November 17, 2006.
12．Invited speaker。The Jacobian Conjecture and the Laplace Eigenfunctions。Colloquium, Washington University at St. Louis, November 16, 2006.
13. Invited speaker。The Inversion Problem and Noncommutative Symmetric Functions。The joint international workshop and conference “Polynomial Automorphisms and related topics” of the Institute of Mathematics, Hanoi, Vietnam, and the Adus Salam International Centre of Theoretical Physics (ICTP), Trieste, Italy, October 9-20, 2006.
14. Invited speaker。A Vanishing Conjecture of Hessian Nilpotent Polynomials。The Workshop on Lie Theory and Vertex Operator Algebras, University of California at Santa Cruz, April 24-25, 2004.
15. Invited speaker。Inversion Formulas and Rooted trees。AMS Sectional Meeting on Representations of infinite dimensional Lie algebra and mathematical physics, Bloomington, April, 2003.
16．Invited speaker。Generalized 2-dimensional Genus Zero Conformal Field Theory. John Hopkins University, February, 2003.
17．Invited speaker。Inversion Formulas, D-Log’s and the Jacobian Conjecture。Georgia State University, February, 2003.
18．Invited speaker。D-log and Formal Flows of Analytic Maps。Algebra Seminar, St. Louis University, May 2002.
19．Invited speaker。Some Generalizations of Genus Zero Conformal Field Theory。 The international conference on “Infinite Dimensional Lie Algebras and Conformal Field Theory”in Virginia, May 2000.
20. Invited speaker。Operads of Locally Trivialized Holomorphic Bundles over Riemann Sphere and Generalized Affine Vertex Operator Algebras, AMS Sectional Meeting, Buffalo, April, 1999.
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