Preprints
- Relative singularity categories II: DG models, joint with Martin Kalck, arXiv:1803.08192.
- Discreteness of silting objects and t-structures in triangulated categories, joint with Takahide Adachi and Yuya Mizuno, to appear in Proc. Lond. Math. Soc., arXiv:1708.08168.
- Examples of finite dimensional algebras which do not satisfy the derived Jordan—Hoelder property, joint with Qunhua Liu, arXiv:1704.00398.
- Quotients of triangulated categories and equivalences of Buchweitz, Orlov and Amiot—Guo—Keller, joint with Osamu Iyama, to appear in American Journal of Mathematics, arXiv:1702.04475.
- From simple-minded collections to silting objects via Koszul duality, joint with Hao Su, Algebra and Representation Theory, published online, doi:10.1007/s10468-018-9763-y, arXiv:1609.03767.
Publications
- 2-Calabi-Yau范畴和3-Calabi-Yau范畴, 中国科学: 数学 48, 1 (2018 ),doi/10.1360/N012018-00001. English version: arXiv:1811.07553
- Silting reduction and Calabi--Yau reduction of triangulated categories, joint with Osamu Iyama, Trans. Amer. Math. Soc. 370 (2018), no. 11, 7861--7898. arXiv:1408.2678.
- Derived categories of graded gentle one-cycle algebras, joint with Martin Kalck, J Pure Appl Algebra 222 (2018), 3005-3035. arXiv:1611.01903.
- The derived category of an algebra with radical square zero, Comm. Alg. 46 (2018), no. 2, 727--739. arXiv:1612.05750.
- Recollements and stratifying ideals, joint with Lidia Angeleri Hügel, Steffen Koenig and Qunhua Liu, J. Alg. 484 (2017), 47—65. arXiv:1606.05992.
- Ladders of derived module categories, joint with Lidia Angeleri Hügel, Steffen Koenig and Qunhua Liu, J. Alg. 472 (2017), 15--66. arXiv:1310.3479.
- Stratifications of algebras with two simples, joint with Qunhua Liu, Forum Math. 28 (2016), no. 1, 175--188. arXiv:1310.3480.
- Relative singularity categories I: Auslander resolutions, joint with Martin Kalck, Adv. Math. 301 (2016), 973--1021. arXiv:1205.1008.
- Homotopy categories, Leavitt path algebras and Gorenstein projective modules, joint with Xiao-Wu Chen, Int. Math. Res. Not. IMRN 2015, no. 10, 2597--2633. arXiv:1301.0195.
- Intermediate co-t-structures, two-term silting objects, tau-tilting modules and torsion classes, joint with Peter Jørgensen and Osamu Iyama, Algebra and Number Theory 8 (2014), no. 10, 2413--2431. arXiv:1311.4891.
- Frobenius categories, Gorenstein algebras and rational surface singularities, joint with Osamu Iyama, Martin Kalck and Michael Wemyss, Compos. Math. 151 (2015), no. 3, 502--534. arXiv:1209.4215.
- Gluing silting objects, joint with Qunhua Liu and Jorge Vitória, Nagoya Math. J. 216 (2014), 117--151. arXiv:1206.4882.
- Silting objects, simple-minded collections, t-structures and co-t-structures for finite-dimensional algebras, joint with Steffen Koenig, Doc. Math. 19 (2014), 403--438. arXiv:1203.5657 (this incorporates arXiv:1011.3938).
- Ordered exchange graphs, joint with Thomas Brüstle, Advances in Representation Theory of Algebras, 135--193, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2013. arXiv:1302.6045.
- Sparseness of t-structures and negative Calabi--Yau dimension in triangulated categories generated by a spherical object, joint with Thorsten Holm and Peter Jørgensen, Bull. Lond. Math. Soc. 45 (2013), 120--130. arXiv:1108.2195
- Blocks of group algebras are derived simple, joint with Qunhua Liu, Math. Z. 272 (2012), 913--920. arXiv:1104.0500 .
- Endomorphism algebras of maximal rigid objects in cluster tubes, Comm. Alg. 40 (2012), no. 12, 4347--4371. arXiv:1004.1303
- The Ringel--Hall Lie algebra of a spherical object, joint with Changjian Fu, J. Lond. Math. Soc. (2) 85 (2012), 511--533. arXiv:1103.1241, correction.
- Stratifications of derived module categories, joint with Lidia Angeleri Hügel, Steffen Koenig and Qunhua Liu, C. R. Acad. Sci. Paris, Ser I 349 (2011), 1139--1144.
- Recollements from generalized tilting, Proc. Amer. Math. Soc. 140 (2012), 83--91. arXiv:1006.1227
- Derived equivalences from mutation of quiver potentials, joint work with Bernhard Keller, Adv. Math. 226 (2011), 2118--2168. arXiv:0906.0761
- The Hall algebra of a spherical object, joint work with Bernhard Keller and Guodong Zhou, J. Lond. Math. Soc. (2) 80 (2009), no. 3, 771--784. arXiv:0810.5546
- Non-simply-laced clusters of finite type via Frobenius morphisms, Algebra Colloquium 16 (2009), no.1, 143--154. arXiv:math/0608114
- On the affine Schur algebra of type $A$ II, Algebras and Representation Theory 12 (2009), no. 1, 63--75. arXiv:math/0609660
- On the affine Schur algebra of type $A$, Comm. Alg. 37 (2009), no. 4, 1389--1419. arXiv:math/0609659
- On defining ideals or subrings of Hall algebras (with an appendix by Andrew Hubery), Algebras and Representation Theory 10 (2007), no.6, 619--629. arXiv:math/0608677.
- Unramified extensions of quadratic fields, joint work with Wei Li, and Xianke Zhang, Prog. Nat. Sci. 18 (2008), no. 3, 323--324.
- Quadratic number fields with class numbers divisible by a prime q, joint work with Xianke Zhang, Tsinghua Science and Technology 9 (2004), no.4, 476-481.
Notes on seminar/conference talks
- Koszul algebras, slides (dvi-file), talk given in Leicester, May 2004.
- From triangulated categories to cluster algebras (after Palu), pdf-file, talk given in Bielefeld, July 2009.
- Recollements and singularity categories, pdf-file, talk given in Beijing, May 2011.
- Algebraic stratifications of derived module categories and derived simple algebras, pdf-file, talk given in Okayama, September 2011.
- Recollements generated by idempotents and application to singularity categories, pdf-file, talk given in Okayama, September 2011.
- Silting objects, t-structures, cluster-tilting objects and their mutations, arXiv:1302.6045, talk given in Bielefeld, August 2012 (ICRA XV).
- Hearts of t-structures: some examples, slides (pdf-file), talks given in Shanghai, July 2014, and in Hefei, October 2015.
- Algebraic stratifications and derived simplicity, slides (pdf-file), talk given in Sanya, August 2014 (ICRA XVI).
- A derived Jordan--Hoelder property, slides (pdf-file), talk given in Yangzhou, May 2016.
- The interplay between 2- and 3-CY categories, arXiv:1811.07553, talks given in Stuttgart, November 2011, and in Nagoya, May 2013.
- Silting t-structures, slides (pdf-file), talks given in Shanghai, October 2018.