I am a Minerva postdoctoral researcher at BIREP – Representations of finite dimensional algebras at Bielefeld research group. My host is Prof.Henning Krause. Before that I was a postdoctoral researcher at the Department of Mathematics at the University of Antwerp, hosted by Prof. Wendy Lowen. Before that I was a postdoctoral researcher at the Weizmann institute. I graduated in 2013 from Ben-Gurion university of the Negev. My Phd advisor was Prof. Amnon Yekutieli.

**Contact**

Email: LShaul at math.uni-bielefeld.de

**Publications**

- Injective DG-modules over non-positive DG-rings. 2017. Submitted.
- Completion and torsion over commutative DG rings. 2016. Submitted.
- The twisted inverse image pseudofunctor over commutative DG rings and perfect base change. To appear in
**Advances in Mathematics**(2017). - Homological dimensions of local (co)homology over commutative DG-rings To appear in the
**Canadian Mathematical Bulletin**(2017). - Adic reduction to the diagonal and a relation between cofiniteness and derived completion. To appear in
**Proceedings of the AMS**(2017). - Hochschild cohomology commutes with adic completion.
**Algebra & Number Theory**10-5 (2016), 1001-1029. - Tensor product of dualizing complexes over a field. To appear in the
**Journal of Commutative Algebra**(2016). - Relations between derived Hochschild functors via twisting.
**Communications in Algebra**44:7 (2016), 2898-2907. - Reduction of Hochschild cohomology over algebras finite over their center.
**Journal of Pure and Applied Algebra**219 (2015), 4368-4377. - 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. - Cohomologically Cofinite Complexes. With Marco Porta and Amnon Yekutieli.
**Communications in Algebra**Volume 43, Issue 2, 2015. - 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**

- 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 - Towards coherent duality over derived formal schemes – “Hochschild Cohomology in Algebra, Geometry, and Topology”, 2016,
**Oberwolfach reports**.

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