Liran Shaul

I am an assistant professor (tenure-track) at the Department of Algebra at Charles University in Prague.

I am currently organizing the conference Derived Categories.

Contact

Email: shaul at karlin.mff.cuni.cz

photoLiranShaul
At Petrin Hill overlooking the beautiful city of Prague, November 2018

Publications

  1. The Cohen-Macaulay property in derived commutative algebra. 2019. Submitted.
  2.  Pole placement for overdetermined 2D systems. With Victor Vinnikov. 2018. Submitted.
  3.  Completion and torsion over commutative DG rings. Israel Journal of Mathematics, , Volume 232, Issue 2, pages 531–588.
  4.  Injective DG-modules over non-positive DG-rings. Journal of Algebra 515 (2018) pp. 102-156
  5.  The twisted inverse image pseudofunctor over commutative DG rings and perfect base change.  Advances in Mathematics, Volume 320, 7 November 2017, Pages 279-328.
  6. Homological dimensions of local (co)homology over commutative DG-rings. Canadian Mathematical Bulletin 61(2018), no. 4, 865-877
  7. Adic reduction to the diagonal and a relation between cofiniteness and derived completion. Proceedings of the AMS, Volume 145, Number 12, December 2017, Pages 5131-5143.
  8. Hochschild cohomology commutes with adic completion. Algebra & Number Theory 10-5 (2016), 1001-1029.
  9. Tensor product of dualizing complexes over a field. J. Commut. Algebra, Volume 10, Number 2 (2018), 243-263.
  10. Relations between derived Hochschild functors via twisting. Communications in Algebra 44:7 (2016), 2898-2907.
  11. Reduction of Hochschild cohomology over algebras finite over their center. Journal of Pure and Applied Algebra 219 (2015), 4368-4377.
  12. On the Homology of Completion and Torsion. With Marco Porta and Amnon Yekutieli. Algebras and Representation Theory February 2014, Volume 17, Issue 1, pp 31-67. Errata.
  13. Cohomologically Cofinite Complexes. With Marco Porta and Amnon Yekutieli. Communications in Algebra Volume 43, Issue 2, 2015.
  14. Completion by Derived Double Centralizer. With Marco Porta and Amnon Yekutieli. Algebras and Representation Theory April 2014, Volume 17, Issue 2, pp 481-494.

Conference proceedings

  1. Tensor product of dualizing complexes over a field. In: Herbera D., Pitsch W., Zarzuela S. (eds) Extended Abstracts Spring 2015. Trends in Mathematics, vol 5. Birkhäuser, Cham
  2. Towards coherent duality over derived formal schemes – “Hochschild Cohomology in Algebra, Geometry, and Topology”, 2016, Oberwolfach reports.
  3. State feedback for overdetermined 2D systems: pole placement for bundle maps over an algebraic curve. With Victor Vinnikov. International Workshop on Multidimensional (nD) Systems, IEEE, 2009

Teaching

My teaching schedule could be found here.

2019/2020 winter semester

  1. Algebraic Geometry. Course website.
  2. Algebra I. Course website.

2018/2019 spring semester

  1. Categories of modules and homological algebra. Course website.
  2. Reading course – Algebra 2 for computer science.

2018/2019 winter semester

  1. Derived categories and their applications in commutative algebra.
  2. Algebraic Geometry.

Past positions

Before coming to Prague, I was a postdoctoral researcher at Bielefeld, Germany, hosted by Prof. Henning Krause, at Antwerp, Belgium, hosted by Prof. Wendy Lowen, at the Weizmann institute, Israel, and at Ben-Gurion university of the Negev. I graduated from Ben-Gurion at 2013. My PhD advisor was Prof. Amnon Yekutieli.