1. The Gaussian Moments Conjecture and the Jacobian Conjecture (Joint with Harm Derksen and Arno van den Essen). Under submission. See also arXiv:1506.05192 [math.AC].
2. Some Results on the Vanishing Conjecture of Differential Operators with Constant Coefficients (joint with A. van den Essen and R. Willems). J. Pure Appl. Algebra. 219 (2015), 3847-3861. See also arXiv:0903.1478 [math.AC].
3. Mathieu Subspaces of Univariate Polynomial Algebras (joint with A. van den Essen). J. Pure Appl. Algebra. 217 (2013), no.7, 1316–-1324.See also arXiv:1012.2017[math.AC].
4. Analogue of the Duistermaat-van der Kallen Theorem for Group Algebras of Finite Groups (joint with R. Willems). Cent. Eur. J. Math. 10 (2012), no.3, 974-986. [MR2902228]. See also arXiv:1009.5794[math.RA].
5. Mathieu Subspaces of Associative Algebras. J. Algebra. 350 (2012), no.2, 245-272. [MR2859886]. See also arXiv:1005.4260[math.RA].
6.On the Image Conjecture (joint with A. van den Essen and D. Wright). J. Algebra 340 (2011), 211-224. [MR2813570]. See also arXiv:1008.3962[math.RA].
7. Images of Locally Finite Derivations of Polynomial Algebras in Two Variables (joint with A. van den Essen and D.Wright). J. Pure Appl. Algebra 215 (2011), no.9, 2130-2134. [MR2786603]. See also arXiv:1004.0521[math.AC].
8. New Proofs for the Abhyankar-Gurjar Inversion Formula and Equivalence of the Jacobian Conjecture and the Vanishing Conjecture. Proc. Amer. Math. Soc. 139 (2011), 3141-3154. [MR2811269]. See also arXiv:0907.3991[math.AG]
9. Moment Vanishing Problem and Positivity: Some Examples (joint with J. P. Francoise, F. Pakovich and Y. Yomdin). Bull. Sci. Math. 135 (2011), no.1, 10-32. [MR2764951]. (Click Paper.pdf for a pdf file of the paper)
10. A Generalization of Mathieu Subspaces to Modules of Associative Algebras. Centr. Eur. J. Math. 8, No.6 (2010), 1132-1155. See also arXiv:1005.4259[math.RT].
11. Images of Commuting Differential Operators of Order One with Constant Leading Coefficients. J. Algebra. 324 (2010), no.2, 231-247. See also arXiv:0902.0210[math.CV].
12. A Deformation of Commutative Polynomial Algebras in Even Numbers of Variables. Centr. Eur. J. Math. 8, no.1 (2010), 73-97. See also arXiv: 0907.3990[math.AC].
13. Generalizations of the Image Conjecture and the Mathieu Conjecture. J. Pure Appl. Algebra. 214 (2010), no.7, 1200-1216. [MR2586998]. See also arXiv:0902.0212[math.CV].
14. Noncommutative Symmetric Functions and the Inversion Problem. Internat. J. Algebra Comput., 18 (2008), no.5, 869-899. See also arXiv:0509135[math.CV].
15. Two Results on Hessian Nilpotent Polynomials (joint with A. van den Essen). J. Pure Appl. Algebra 212 (2008), no.10, 2190-2193. [MR2418165]. See also arXiv:0704.1690[math.AG].
16. Some Properties and Open Problems of Hessian Nilpotent polynomials. Ann. Polon. Math. 93 (2008), no.2, 135-162. See also arXiv:0704.1689[math.CV].
17. A Noncommutative Symmetric System over the Grossman-Larson Hopf Algebra of Labeled Rooted Trees. J. Alg. Comb. 28 (2008), 235-260. See also arXiv:0509136[math.CO].
18. A Vanishing Conjecture on Differential Operators with Constant Coefficients. Acta Mathematica Vietnamica, 32 (2007), no. 3, 259-286. [MR2368014]. See also arXiv:07041691[math.CV].
19. Differential Operator Specializations of Noncommutative Symmetric Functions. Adv. Math., 214 (2007), no.2, 639-665. [MR2349715]. See also arXiv:0509134[math.CO].
20. Noncommutative Symmetric Systems over Associative Algebras. J. Pure Appl. Algebra, 210 (2007), no.2, 363-382. See also arXiv:0509133[math.CO].
21. Deformations and Inversion Formulas for Formal Maps in Noncommutative Variables. Internat. J. Algebra Comput., 17 (2007), no.2, 261-288.[MR2310148]. See also arXiv:0509130[math.GM].
22. Hessian Nilpotent Polynomials and the Jacobian Conjecture. Trans. Amer. Math. Soc. 359 (2007), 249-274. See also arXiv:0409534[math.CV].
23. Inversion Problem, Legendre Transform and Inviscid Burgers’Equation. J.Pure Appl. Algebra, 199 (2005), no. 1-3, 299-317. See also arXiv:0403020[math.CV].
24. Some Reductions on Jacobian Problem in Two Variables. J. Pure Appl. Algebra, 188 (2004), no.1-3, 305-319. See also arXiv:0209254[math.AG].
25. A Family of Invariants of Rooted Forests. J. Pure Appl. Algebra, 186 (2004),no.3, 311-327. See also arXiv:0211095[math.CO].
26. D-log and Formal Flow for Analytic Isomorphisms of n-space (joint with D. Wright). Trans. Amer. Math. Soc. 355 (2003), No.8, 3117-3141. See also arXiv:0209274[math.CV].
27. Some Generalizations of Genus Zero Conformal Field Theory. Recent developments in infinite-dimensional Lie algebras and conformal field theory (Charlottesville, VA, 2000), Contemp. Math., 297 (2002), 297-334.
28. Exponential Formulas for the Jacobians and Jacobian Matrices of Analytic Maps. J. Pure and Applied Algebra, 166 (2002), no.3, 321-336. See also arXiv:0209312[math.CV].
29. Semi-infinite Forms and Topological Vertex Operator Algebras (joint with Yi-Zhi Huang). Commun. Contemp. Math. 2 (2000), no.2, 191-241. See also arXiv:990314[math.QA].
Proceeding Edited
30. Proceeding of the International Conference on Vertex Operator Algebras and Related Areas (co-edited with Gaywalee Yamskulna and Maarten Bergvelt). Contemporary Mathematics 497, AMS. 2009.
Other Prints
1. Classification of a Family of Quadratic Forms. Preprint. Available upon request.
2. Noncommutative Symmetric Systems over Differential Operator Algebras and the Grossman-Larson Hopf Algebra of Labeled Rooted Trees. Preprint. arXiv:0509138[math.CO].
3. A New Approach to Order Polynomials of Labeled Posets and Their Generalizations (joint with J. Shareshian and D. Wright). Preprint. arXiv:0311426[math.CO].