I am a postdoc at the University of Cologne working with Prof. Sibylle Schroll . I completed my Ph.D. at Nagoya University in September 2020 under the supervision of Prof. Osamu Iyama. My main research interests revolve around the representation theory of algebras, especially dg algebras and their applications, triangulated categories and derived categories.
dg categories and dg algebras
Cohen-Macaulay modules
derived categories and singularity categories
graded gentle algebras
triangulated categories
simple-minded collections and simple-minded systems
cluster categories
Cohen-Macaulay differential graded modules and negative Calabi-Yau configurations, Adv. Math. 374 (2020).
Positive Fuss-Catalan numbers and Simple-minded systems in negative Calabi-Yau categories, joint with Osamu Iyama, International Mathematics Research Notices, doi.org/10.1093/imrn/rnab369 . See also arXiv:2002.09952.
Reductions of triangulated categories and simple-minded collections, arXiv:1907.05114.
Ladders and localisation theorems, joint with Dong Yang and Guodong Zhou. in preparation.
Recollements of derived categories of graded gentle algebras, joint with Sibylle Schroll and Wen Chang. in preparation.
Department of Mathematics
University of Cologne
Weyertal 86-90
50931 Köln
Germany
Office: Mathematical Institut, Room 124
Email: hjin AT math.uni-koeln.de
