校园百科

学习工作简历

2002.7-2007.6 Starting for Ph.D in USTC (supervisor: Prof. Dr. Pu Zhang)

2003.12-2004.12 Study in University of Antwerpen (supervisor: Prof. Dr. Freddy Van Oystaeyen)

2006.1.7-1.26 Advanced School in ICTP

2007.6-2008.8 Postdoctor in USTC (mentor: Prof. Dr. Sen Hu)

2008.9-2010.9 Alexander von Humboldt Fellowship (host Professor Prof. Dr. Henning Krause)

2010.9- Professor in USTC (specially appointed, a three-year position)

研究兴趣

Derived Categories, Singularity of Algebras,  and Gorenstein Rings

Weighted Projective Lines and Tilting Theory

Hopf Algebras, Quantum Groups, Noncommtative Geometry

Mathematical Physics: D-Branes, LG-Models, CFT.

Graded Rings, Color Lie Algebras and FCR Algebras

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“Homological algebra”, 2008.2-2008.6

Part I. Projective modules, injective modules, flat modules,categories and functors
Part II. Ext, Tor functors and short exact sequences, Yext functors
Part III. Cohomology theory of groups, Lie algebras and algebras
Part IV. Spectral sequences



“Representation theory of groups and algebras”, 2007.9-2008.2.

Part I: On groups and linear algebra, 6 courses.
Pat II: On representation theory of groups, character theory, 18 courses.
Part III: On modules of algebras, Wedderburn-Artin theory, induced representations, 18 courses.
Part IV: On representations of compact groups, 18 courses.

Published:

1. Xiao-Wu Chen, Hua-Lin Huang, Yu Ye, Pu Zhang, Monomial Hopf Algebras,

Journal of Algebra 275 (2004), no. 1, 212--232. Published PDF

Dedicated to Professor Claus Michael Ringel on the occasion of his sixtieth birthday

2. Xiao-Wu Chen, Hua-Lin Huang, Pu Zhang, Dual Gabriel Theorem with applications,

Science in China, Series A Mathematics, (2006) Vol. 49 (1), 9-26. Published PDF

Also see: Science inChina, Series A Mathematics 35(11) (2005), 1201-1218 (in Chinese). Published PDF

3. Xiao-Wu Chen, Toukaiddine Petit, Fred Van Oystaeyen, Note on the Cohomology of Color Hopf and Lie Algebras,

Journal of Algebra 299 (2006), 419-442. Published PDF

4. Xiao-Wu Chen, Hua-Lin Huang, Yan-Hua Wang, A note on “Modules, comodules and cotensor products over Frobenius algebras”,

Chinese Annals of Mathematics, Series B 27 (4) (2006), 419-424. Publishedd PDF

5. Xiao-Wu Chen, Sergei D. Silvestrov, Fred Van Oystaeyen, Representations and Cocycle Twists of Color Lie Algebras,

Algebras and Representation Theory, Vol.9, No.6 (2006), 633-650. Published PDF

6. Yu Du, Xiao-Wu Chen, Yu Ye, On Graded Bialgebra Deformations,

Algebra Colloquium, 14:2 (2007), 301-312. Published PDF

7. Xiao-Wu Chen, Duality between quantum symmetric algebras,

Letters in Mathematics Physics, Vol.90, No.1 (2007), 39-50. Published PDF

8. Jue Le and Xiao-Wu Chen, Karoubianness of a triangulated category,

Journal of Algebra, 310 (2007), 452-457. Published PDF

Dedicated to Professor Yingbo Zhang on the occasion of her sixtieth birthday

9.Yan-Hua Wang, Xiao-Wu Chen, Construct non-graded bi-Frobenius algebras via quivers,

Science inChina, Series A Mathematics, 50(3)(2007), 450-456. Published PDF

Also see: Science inChina, Series A Mathematics 38 (2) (2008), 128-134 (in Chinese). Published PDF

10. Xiao-Wu Chen, Pu Zhang, Quotient triangulated categories,

Manuscripta Mathematica, 123 (2007), 167-183. Published PDF

Dedicated to Professor Zhexian Wan on the occasion of his eightieth birthday

11. Xiao-Wu Chen, Pu Zhang, Comodules of U_q(sl_2) and modules of SL_q(2) via quiver methods,

Journal of Pure and Applied Algebra, 211(3) (2007), 862-876. Published PDF

Dedicated to Professor Freddy Van Oystaeyen on the occasion of his sixtieth birthday

The paper is ranked no.20 inthe list of ScienceDirect TOP 25 Hottest Articles (July-September 2007 JPAA).

12. Xiao-Wu Chen, Yu Ye, Pu Zhang, Algebras of derived dimension zero,

Communications in Algebra, 36 (1) (2008), 1-10. Published PDF

13. Xiao-Wu Chen, An Auslander-type result for Gorenstein-projective modules,

Advances in Mathematics, 218 (2008), 2043-2050. Published PDF

The paper is ranked no.4 inthe list of ScienceDirect TOP 25 Hottest Articles (July-September 2008 Adv. Math.).

14. Xiao-Wu Chen, Singularity categories, Schur functors and triangular matrix rings,

Algebras and Representation Theory, 12 (2009), 181-191. Published PDF

Dedicated to Professor Freddy Van Oystaeyen on the occasion of his sixtieth birthday

15. Xiao-Wu Chen, Extensions of covariantly finite subcategories

Archiv der Mathematik, 93 (2009), 29-35. Published PDF

16. Xiao-Wu Chen, Graded self-injective algebras “are” trivial extensions,

Journal of Algebra, 322 (2009), 2601-2606. Published PDF

Dedicated to Professor Helmut Lenzing on the occasion of his seventieth birthday

The paper is ranked no.3 inthe list of ScienceDirect TOP 25 Hottest Articles (July-September 2009 J. Algebra).

17. Xiao-Wu Chen, A short proof of HRS-tilting,

Proceedings of American Mathematical Society, 138(2) (2010), 455-459. Published PDF

18. Xiao-Wu Chen, Srikanth Iyengar, Support and injective resolutions of complexes over commutative rings,

Homology, Homotopy and Applications, 12(1) (2010), 39-44. Published PDF

19. Xiao-Wu Chen, Homotopy equivalences induced by balanced pairs,

Journal of Algebra, 324 (2010), 2718-2731. Published PDF

Dedicated to Professor Claus Michael Ringel on the occasion of his sixty-fifth birthday

The paper is ranked no.24 inthe list of ScienceDirect TOP 25 Hottest Articles (Oct.-Dec. 2010 J. Algebra).

20. Xiao-Wu Chen, Unifying two results of Orlov on singularity categories,

Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg, 80 (2010), 207-212.Published PDF

21. Xiao-Wu Chen, Generalized Serre duality,

Journal of Algebra, 328 (2011), 268-286. Published PDF

The paper is ranked no.6 inthe list of ScienceDirect TOP 25 Hottest Articles (Oct.-Dec. 2010 J. Algebra).

22. Xiao-Wu Chen, The stable monomorphism category of a Frobenius category,

Mathematical Research Letters, 18 (01) (2011), 125-137. Published PDF

23. Xiao-Wu Chen, Relative singularity categories and Gorenstein-projective modules,

Mathematische Nachrichten, 284 (No. 2-3) (2011), 199-212. Published PDF

24. Xiao-Wu Chen, Henning Krause, Expansions of abelian categories,

Journal of Pure and Applied Algebra, 215 (2011), 2873-2883. Published PDF

The paper is ranked no.22 inthe list of ScienceDirect TOP 25 Hottest Articles (Apr.-Jun. 2010 JPAA).

25. Xiao-Wu Chen, The singularity category of an algebra with radical square zero,

Documenta Mathematica, 16 (2011), 921-936. Published PDF

26. Xiao-Wu Chen, Algebras with radical square zero are either self-injective or CM-free,

Proceedings of American Mathematical Society, 140(1) (2012), 93-98. Published PDF

27. Xiao-Wu Chen, Three results on Frobenius categories,

Mathematische Zeitschrift, 270 (2012), 43-58. Published PDF

28. Xiao-Wu Chen, A recollement of vector bundles,

Bulletin of theLondonMathematical Society, 44 (2012), 271-284. Published PDF

29. Xiao-Wu Chen, Totally reflexive extensions and modules,

Journal of Algebra, 379 (2013), 322-332. Published PDF

Accepted:

30. Xiao-Wu Chen, Irreducible representations of Leavitt path algebras,

Forum Mathematicum, accepted.

31. Xiao-Wu Chen, Singular equivalences induced by homological epimorphisms,

Proceedings of American Mathematical Society, accepted.

32. Xiao-Wu Chen, Yu Ye, Retractions and Gorenstein homological properties,

Algebras and Representation Theory, accepted.

陈小伍教授本科、博士均毕业于中国科学技术大学数学系，现任中国科学技术大学数学学院教授、博士生导师，研究领域为代数表示论和同调代数。