● 国家自然科学基金青年项目，12001037，Shuffle猜想衍生的若干问题研究，

2021-01-01 至 2023-12-31，主持

● 国家自然科学基金面上项目，12171034，色对称函数的3+1猜想的若干相关问题的研究，

2022-01-01 至 2025-12-31，参与

● 国家自然科学基金面上项目，12271023，组合设计中的渐近存在性问题，

2023-01-01 至 2026-12-31，参与

1. S. Kitaev and D. Qiu, On a family of universal cycles for multi-dimensional permutations, Discrete Applied Mathematics, 359 (2024), 310—320.

2. P. Alexandersson, F. Kebede; S. Fufa and D. Qiu, PatternAvoidance and Fuss-Catalan Numbers, Journal of Integer Sequences, 26 (2023), #23.4.2

3. D. Qiu and J. Remmel, Schur function expansions and the Rational Shuffle Theorem, Journal of Combinatorial Theory, Series A, 175 (2020), 105272.

4. D. Qiu and A. Wilson, The valley version of the Extended Delta Conjecture, Journal of Combinatorial Theory, Series A, 175 (2020), 105271.

5. D. Qiu and J. Remmel, Classical pattern distributions in Sn(132) and Sn(123), Discrete Mathematics & Theoretical Computer Science, 21 (2) (2019), #2.

6. D. Qiu and J. Remmel, Patterns in words of ordered set partitions, Journal of Combinatorics, 10 (3) (2019), 433—490.

7. R. Pan, D. Qiu and J. Remmel, Counting consecutive pattern matches in Sn(132) and Sn(123), Advances in Applied Mathematics, 105 (2019), 130—167.

8. A. Garsia, J. Haglund, D. Qiu and M. Romero, e-positivity results and conjectures, arXiv preprint: 1904.07912 (2019).

9. D. Qiu, J. Remmel, E. Sergel and G. Xin, On the Schur positivity of △e2 en[X], Electronic Journal of Combinatorics, 25 (4) (2018), 4—20.

10. D. Qiu and J. Remmel, Quadrant marked mesh patterns in 123-avoiding permutations, Discrete Mathematics & Theoretical Computer Science, 19 (2) (2018), #12.

11. D. Qiu and J. Remmel, Schur function expansions and the Rational Shuffle Conjecture, Extended abstract: Seminaire Lotharingien de Combinatoire, 78B (2017), #83.