崔建莲，中国科学院数学与系统科学研究院数学研究所博士，北京大学数学研究所博士后，曾在太原理工大学数学系工作，2004.04起就职于清华大学数学系，2005.12晋升副教授，2023.12晋升教授，2024.04起任清华大学数学基础教学中心教授。曾为美国威廉玛丽学院数学系访问学者，韩国首尔大学数学系访问学者，香港大学数学系访问学者。从事算子理论及算子代数、量子信息理论的研究，曾获中国博士后科学基金二等资助，先后主持参与国家自然科学基金项目五项，主持国家自然科学基金中韩国际合作交流项目一项，主持参与省部级科研项目四项，主持参与清华大学本科教育教学改革项目五项。科学出版社出版专著《算子代数上线性映射引论》（合作），出版工信部十四五规划教材《微积分原理》上、下两部（合作）；培养博士生两名，均已毕业并都就职于科研院所。

曾开设本科生课程包括：《泛函分析》、《微积分I》、《微积分II》、《微积分III》, 《高等微积分B》，《微积分A(1)》、《微积分B(1)》、《微积分A(2)》等。

主持开展的小班习题研讨教改项目帮助众多学生取得进步，在人才培养中学生收获显著，教学方法深受学生喜爱，广受学生好评，自2018年春季学期至今，每学期每门课程教学评估均位于全校同等规模课堂前5%.

出版工信部十四五规划教材《微积分原理》两部：

1. 微积分原理（上），崔建莲，王勇 编著，电子工业出版社，2023年7月；

2. 微积分原理（下），崔建莲，王勇 编著，电子工业出版社，2023年10月。

在算子代数和算子理论研究方向，取得本领域一系列丰富而重要的研究成果。发表学术论文60多篇，SCI收录50余篇。在一类重要的非自伴算子代数上，获得非线性数值半径等距的完全分类，发表在泛函界知名刊物Journal of Functional Analysis杂志上；在von Neumann代数上回答了著名数学家Kaplansky在二十世纪七十年代提出的有关保可逆性问题；首次在有限von Neumann代数上引入tr-rank的概念，并刻画了其上完全tr-rank不增的线性映射的结构。近年来将其应用到量子信息领域研究中，量子信息是涉及物理学、计算机科学和数学等多学科的综合性新兴交叉研究领域。量子的纠缠性使得量子信息传输速度可超越光速，为信息科学的发展提供新的原理和方法，成为未来中国科技发展的重大方向之一。多体系统中的纠缠单配性是多种量子信息和通讯协议的核心，是量子密码安全的重要组成部分。我们获得高维多体系统的一个纠缠度量，并首次在3-qutrit系统中证明了困扰人们已久的单配性的存在性，该成果发表在Nature旗下子刊Scientific Report杂志上。量子纠错技术为解决量子消相干现象应运而生，我们通过构造满足Euclidean对偶包含或Hermitian对偶包含的矩阵乘积码，构造了新的量子码；首次给出NSC拟正交矩阵和NSC拟酉矩阵的构造性方法，部分结果发表在信息学知名刊物IEEE Communications Letters杂志上。

1. 2024年获得清华大学年度教学优秀奖；

2. 2023年获得清华大学新百年教学成就奖；

3. 2023年获得第九届“清韵烛光 我最喜爱的教师”奖；

4. 2023年被评为清华大学2023届毕业生心目中的好老师及课程；

5. 2023年获得清华大学优秀盟员奖；

6. 2022年获得清华大学优秀盟员奖；

7. 2021年获得宝钢教育奖优秀教师奖；

8. 2021年获得清华大学年度先进工作者；

9. 2021年获得清华大学年度教学优秀奖；

10. 2020年获得疫情防控在线教学优秀教师奖；

11. 2020年《微积分B(1)》获教育部首批国家级一流本科课程认定（主要成员）；

12. 2019年获得清华大学年度教学优秀奖；

13. 2018年获得北京市第29届大学生数学竞赛优秀指导教师奖；

14. 2017年获得清华大学优秀班主任二等奖；

15. 2015年获得清华大学优秀班主任二等奖；

16. 2014年获得北京市第25届大学生数学竞赛优秀指导教师奖；

17. 2010年获得山西省科技二等奖（合作）；

18. 2003年获得山西省科技进步一等奖（合作）；

19. 2002年获得中国科学院院长优秀奖；

20. 2002年获得中国科学院宝洁冠名优秀奖.

1. Cao M, Wang H X, Cui J L*，Construction of quantum codes from matrix-product codes. IEEE Communications Letters, 2020, 24(4):706-710.

2. Cao M, Cui J L*, New stabilizer codes from the construction of dual-containing matrix-product codes. Finite Fields and Their Applications, 2020, 63:101643.

3. Cao M, Cui J L*, Construction of new quantum codes via Hermitian dual-containing matrix-product codes. Quantum Information Processing 19 (2020): 1-26.

4. T. Xin，S.J. Wei, J.L. Cui, J.X. Xiao, I. Arrazola, L. Lamata, X.Y. Kong, D.W. Lu, E. Solano, G.L. Long, Quantum algorithm for solving linear differential equations: Theory and experiment，PHYSICAL REVIEW A （ISSN：2469-9926），Vol 101(3), 2020, WOS: 000518434700002.

5. Q.T. Li, J.L. Cui*, S.H. Wang, G.L. Long, Entanglement monogamy in three qutrit systems, Scientific Reports 7, Article number: 1946(2017), doi: 10.1038/s41598-017-02066-8.

6. J.L. Cui,*, C.K. Li, N.S. Sze, Unitary similarity invariant function preservers of skew products of operators. J. Math. Anal. Appl., 454 (2017), No. 2, 716–729.

7. J.L. Cui, C.K. Li, N.S. Sze, Products of positive semi-definite matrices. Lin. Alg. Appl., 528(2017), 17-24.

8. Q.T. Li, J.L. Cui*, S.H. Wang, G.L. Long, Study of a monogamous entanglement measure for three-qubit quantum systems, Quantum Information Processing, 2016, 15(6), 2405-2424. DOI :10.1007/s11128-016-1285-0.

9. J.L. Cui, C.K. Li, Y.T. Poon, Preservers of Unitary Similarity Functions on Lie Products of Matrices, Lin. Alg. Appl., Vol. 498, 2016, 160-180.

10. X.F. Qi, J.C. Hou, J.L. Cui, Additive maps preserving zero skew *-Lie products (in Chinese). Sci. Sin. Math, 2015, 45: 151-165, doi: 10.1360/012014-69.

11. J.L. Cui, C.K. Li, Y.T. Poon, Pseudospectra of special operators and pseudospectrum preservers, J. Math. Anal. Appl., 419 (2014) 1261–1273.

12. J.L. Cui, Q.T. Li, J.C. Hou, X.F. Qi, Some unitary similarity invariant sets preservers of skew Lie products, Lin. Alg. Appl., 457 (2014), 76–92.

13. C. Park, J.L. Cui, Madjid Eshaghi Gordji, Orthogonality and quintic functional equations, Acta Math. Sinica, Vol 29(7), 2013, 1381-1390.

14. H. Li, S.H. Wang, J.L. Cui, G.L. Long, Quantifying entanglement of arbitrary-dimensional multipartite pure states in terms of the singular values of coefficient matrices, Phys, Rev. A 87, 042335 (2013).

15. S.H. Wang, Y. Lu, M. Gao, J.L. Cui, J.L. Li, Classification of arbitrary-dimensional multipartite pure states under stochastic local operations and classical communication using the rank of coefficient matrix, J. Phys. A: Math. Theor. 46(2013), 105303(10pp).

16. J.L. Cui, C.K. Li, Maps preserving peripheral-spectrum of Jordan products of operators, Operators and Matrices, Vol.6, No.1, (2012), 129-146.

17. J.L. Cui, C. Park, Maps preserving strong skew Lie products on factor von Neumann algebras, Acta Math. Scientia, 2012, 32B(2), 531-538.

18. J.L. Cui, Forstall, Li, Yall, Property and preservers of the pseudospectrum, Lin. Alg. Appl., 436, (2012), pp. 316-325.

19. X.F. Qi, J.L. Cui, J.C. Hou, Additive maps (generalized) $\xi$-Lie derivable at zero point on prime algebras, Lin. Alg. Appl, (434)2011, 669-682.

20. J.L. Cui, Nonlinear preserver problems on B(H), Acta Math. Sinica, 2011, No. 27(1), 193-202.

21. C. Park, J.L. Cui, Fixed Points and Stability of the Cauchy Functional Equation in Lie C*-Algebras, Nonlinear analysis and Variational problems, Springer Optimization and Its Applications, 35(2010), 111-124.

22. J.L. Cui, C.K. Li, Maps preserving product $XY-YX^*$ on factor von Neumann algebras, Lin. Alg. Appl., 431 (2009) 833-842.

23. J.S. An, J.L. Cui, C. Park, Jordan *-derivations on C*-algebras and JC*-algebras, Abstract and Applied Analysis, Vol. 2008, Article ID 410437, 12 pages, doi:10.1155/2008/410437.

24. J.L. Cui, J.C. Hou, Choonkil Park, Additive maps preserving commutativity up to a factor, Chinese Ann. of Math., 29A(5)(2008), 583-590.

25. J.L. Cui, J.C. Hou, Maps leaving functional values of operator products invariant, Lin. Alg. Appl., 428(2008), 1649-1663.

26. J.L. Cui, Additive Drazin inverse preservers, Lin. Alg. Appl., 426(2007), 448-453.

27. J.L. Cui, Linear maps leaving zeros of a polynomial invariant, Acta Math. Sinica , 50(3), 2007, 493-496.

28. J.C. Hou, J.L. Cui, Linear aps preserving essential spectral functions and closeness of operator ranges, Bulletin of London Math Soc., 39(2007), 575-582.

29. Choonkil Park, J.L. Cui, Generalized stability of C*-ternary quadratic mappings, Abstract and Applied Analysis, Vol 2007, Article ID23282, doi:10.1155/2007/23282.

30. J.L. Cui, J.C. Hou, Additive maps preserving rank-1 nilpotency on nest algebras, Acta Mathematica Scientia, 27A(2), 2007, 193-203.

31. Choonkil Park, J.L. Cui, Approximately Linear Mappings in Banach Modules over a $C^*$-algebra, Acta Math. sinica, 2007, Vol.23(11), 1919-1936.

32. C. Park, J.S. An, J.L. Cui, Isomorphisms and derivations in Lie C*-algebras, Abstract and Applied Analysis，Vol 2007, Article ID 85737, 14 pages, doi:10.1155/2007/85737.

33. J.L. Cui, J.C. Hou, Linear maps preserving elements annihilated by the polynomial $XY-YX^\dagger$, Studia Math., 2006, vol. 174(2), 183-199.

34. J.L Cui, J.C. Hou, An algebraic invariant for Jordan automorphisms on B(H): the set of idempotents, Science in China, 2005, Vol. 48(12), 1585-1596.

35. J.L. Cui, J.C. Hou, Non-linear numerical radius isometries on atomic nest algebras and diagonal algebras, Journal of Functional Analysis, 206 (2004), 414-448.

36. J.L. Cui, J.C. Hou, Chun-Gil Park, Indefinite orthogonality preserving additive maps. Archiv der Mathematik, 83 (2004), 548-557.

37. J.L. Cui, M.Z. Guo, J.C. Hou, Linear maps preserving rank-1 nilpotency on nest algebras, Lin. Alg. Appl., Vol 377(2004), 267-290.

38. J.L. Cui, J.C. Hou, Linear maps preserving idempotence on nest algebras, Acta Math. Sinica, Vol. 20 (5) (2004), 807-820.

39. J.L. Cui, J.C. Hou, Linear maps compressing the certain spectral functions on Banach algebras, Rocky Moun. J. Math., Vol. 34, no. 2 (2004), 565-584.

40. J.L. Cui, J.C. Hou, A Characterization of Homomorphisms Between Banach Algebras, Acta Math. Sinica, Vol. 20 (4) (2004), 761-768.

41. J.L. Cui, J.C. Hou, Linear maps preserving indefinite orthogonality on C$^*$-algebras, Chinese Ann. Math., Ser. A, Vol. 25, no. 4 (2004), 437-444.

42. J.C. Hou, J.L. Cui, Completely rank nonincreasing linear maps on nest algebras, Procceding of Amer. Math. Soc., Vol. 132 (2004), 1419-1428.

43. J.L. Cui, J.C. Hou, Linear maps preserving the closure of numerical range on nest algebras with maximal atomic nest, Integ. Equa.Oper. Theo., Vol. 46(3), (2003), 253-266.

44. J.L. Cui, J.C. Hou, Additive maps on standard operator algebras preserving parts of the spectrum, J. Math. Anal. Appl., Vol.282(1), (2003), 266-278.

45. J.L. Cui, J.C. Hou, Linear maps preserving ideals of C*-algebras, Proceeding of Amer. Math. Soc., 131(11), (2003), 3441-3446.

46. J.C. Hou, J.L. Cui, Rank-1 preserving linear maps on nest algebras, Lin. Alg. Appl., Vol. 369 (2003), 263-277.

47. J.C. Hou, J.L. Cui, Additive maps on standard operator algebras preserving invertibilities or zero divisors, Lin. Alg. Appl., Vol. 359 (2003), 219-233.

48. J.L. Cui, J.C. Hou, Linear maps on von Neumann algebras preserving zero products or tr-rank, Bull. Austral. Math. Soc., Vol. 65 (2002), 79-91.

49. J.L. Cui, J.C. Hou, The spectrally bounded linear maps on operator algebras, Studia Math., Vol. 150 (3), (2002), 261-271.

50. J.L. Cui, J.C. Hou, Bingren Li, Linear preservers on upper triangular operator matrix algebras, Linear Algebra and its Applications, Vol. 336 (2001), 29-50.