丁龙云
	博士，教授，国家杰青

个人简介

丁龙云教授，从事“描述集合论”研究。解决了“描述集合论”领域中多个重要的公开问题。迄今为止，已经在该方向上发表了二十余篇学术论文，包括发表在Adv. Math.（3篇）, Transactions of AMS等综合类数学权威杂志和Journal of Symbolic Logic（JSL）, Annals of Pure and Applied Logic（APAL）等逻辑类权威杂志。2014年在国际著名数学杂志，美国数学会的会员期刊Notices of AMS上发表论文一篇。

2009年入选教育部“新世纪优秀人才支持计划”。2013年入选南开大学“百名青年学科带头人培养计划”。2017年获得国家自然科学基金杰出青年项目支持。

研究领域

描述集合论，数学基础

科研项目

1. 国家自然科学基金面上项目，12271264，波兰群诱导的等价关系之间的波莱尔归约，2023/01-2026/12，47万元，在研，主持。

2. 国家杰出青年科学基金，11725103，描述集合论，2018/01-2022/12，245万元，已结题，主持。

3. 国家自然科学基金面上项目，11371203，等价关系在Borel 归约意义下的复杂性，2014/01-2017/12，50万元，已结题，主持。

4. 国家自然科学基金面上项目，11071129，源于Banach 空间的等价关系之间的Borel 归约，2011/01-2013/12，25万元，已结题，主持。

5. 教育部新世纪优秀人才支持计划，NCET-09-0477，2010/01-2012/12，50 万元，已结题，主持。

6. 国家自然科学基金青年项目，10701044，Polish 群及Polish 群作用中的两个公开问题，2008/01-2010/12，15万元，已结题，主持。

代表论文

1. L. Ding, R. Li, B. Peng, Complete orbit equivalence relations and non-universal Polish groups, to appear in The Journal of Symbolic Logic.

2. L. Ding, Y. Zheng, On equivalence relations inducec by Polish groups, to appear in The Journal of Symbolic Logic.

3. L. Ding, Y. Zheng, On equivalence relations induced by Polish groups admitting compatible two-sided invariant metrics, to appear in The Journal of Symbolic Logic.

4. L. Ding, X. Wang, A hierarchy on non-archimedean Polish groups admitting a compatible complete left-invariant metric, The Journal of Symbolic Logic, 91 (2026), no. 2, 680-698.

5. L. Ding, Y. Zheng, On equivalence relations induced by locally compact abelian Polish groups, The Journal of Symbolic Logic, 90 (2025), no. 1, 221-236.

6. L. Ding, J. Li, C. Peng, Essential complexity of metrizable spaces, Topology and Its Applications, 301 (2021), 107501, 8pp.

7. L. Ding, K. Gu, On equivalence relations generated by Cauchy sequences in countable metric spaces, Annals of Pure and Applied Logic, 171 (2020), no. 10, 102854, 15pp.

8. L. Ding, T. Kihara, B. Semmes, J. Zhao,Decomposing functions of Baire class 2 on Polish spaces, The Journal of Symbolic Logic, 85 (2020), no 3, 960-971.

9. L. Ding, P. Yu, Reductions on Equivalence Relations Generated by Universal Sets, Mathematical Logic Quarterly, 65 (2019), no. 1, 8-13.

10. L. Ding, On equivalence relations generated by Schauder bases, The Journal of Symbolic Logic, 82 (2017), no 4, 1459-1481.

11. L. Ding, S. Gao, Non-archimedean abelian Polish groups and their actions, Advances in Mathematics, 307 (2017), 312-343.

12. L. Ding, S. Gao, Is there a Spectral Theory for all bounded linear operators? Notices of the American Mathematical Society, 61 (2014), no. 7, 730-735.

13. L. Ding, Characterization of $\ell_p$-like and $c_0$-like equivalence relations, Mathematical Logic Quarterly, 60 (2014), no. 4-5, 273-279.

14. L. Ding, Z. Yin, Borel equivalence relations between $\ell_1$ and $\ell_p$, Acta Mathematica Sinica, English Series, 29 (2013), no. 12, 2391-2396.

15. L. Ding, S. Gao, On the Borelness of the intersection operation, Israel Journal of Mathematics, 195 (2013), 783-800.

16. L. Ding, A trichotomy for a class of equivalence relations, Science China Mathematics, 55(2012), no. 12, 2621-2630.

17. L. Ding, On surjectively universal Polish groups, Advances in Mathematics, 231(2012), no. 5, 2557-2572.

18. L. Ding, Borel reducibility and Holder($\alpha$) embeddability between Banach spaces, The Journal of Symbolic Logic, 77 (2012), no. 1, 224-244.

19. L. Ding, Borel reducibility and finitely Holder($\alpha$) embeddability, Annals of Pure and Applied Logic, 162 (2011), 970-980.

20. L. Ding, B. Li, Products of Borel subgroups, Proceedings of the American Mathematical Society, 136 (2008), no. 9, 3319-3326.

21. L. Ding, S. Gao,On separable Banach subspaces, Journal of Mathematical Analysis and Applications, 340 (2008), no. 1, 746-751.

22. L. Ding, S. Gao, Graev metric groups and Polishable subgroups, Advances in Mathematics, 213 (2007), no. 2, 887-901.

23. L. Ding, S. Gao, New metrics on free groups, Topology and Its Applications, 154 (2007), no. 2, 410-420.

24. L. Ding, S. Gao, On generalizations of Lavrentieff's theorem for Polish group actions, Transactions of the American Mathematical Society, 359 (2007), no. 1, 417-426.

25. L. Ding, S. Gao, Diagonal actions and Borel equivalence relations, The Journal of Symbolic Logic, 71 (2006), no. 4, 1081-1096.