University of Sheffield

School of Mathematics and Statistics

Hounsfield Rd

Sheffield, UK

S3 7RH

Office: J14b, Hicks Building

EMail: npavic1@sheffield.ac.uk

CV

I am currently a PhD student at the University of Sheffield under the supervision of Evgeny Shinder and a member of the Sheffield Algebraic Geometry group.

My research is in algebraic geometry, particularly I am interested in derived categories of singular varieties with applications in algebraic K-theory.

*Obstructions to semiorthogonal decompositions for singular threefolds I: K-theory,*joint with Martin Kalck and Evgeny Shinder, arXiv:1809.10919*K-theory and the singularity category of quotient singularities,*joint with Evgeny Shinder, arXiv:1809.10919*On O'Grady's generalized Franchetta conjecture,*joint with Junliang Shen and Qizheng Yin, Int. Math. Res. Not. (2017), Issue 16, 4971-4983, arXiv:1604.02939

*The Geometry of Derived Categories,*Liverpool (09.09.-13.09.2019).*Periods and Motives,*Berlin (08.07.-12.07.2019).*Hodge theory and o-minimality,*Bonn (16.05.-24.05.2019).*GLEN,*Manchester (28.02.-01.03.2019).*Finite dimensional algebras, homotopy theory, and geometry,*Glasgow (13.12.-14.12.2018).*Constructions and obstructions in birational geometry,*Edinburgh (05.11.-09.11.2018).*School on Birational Geometry of Hypersurfaces,*Gargnano del Garda - Italy (19.03.-23.03.2018).*K-theory, A1-homotopy and quadratic forms,*Warwick (12.02.-16.02.2018).*Matrix factorisations and related topics,*Edinburgh (24.07.-28.07.2017).*Derived Noncommutative Geometry,*Bonn (29.05.-02.06.2017).*Chow Lectures,*Leipzig (22.05.-24.05.2017).*Stability conditions, Donaldson-Thomas invariants and cluster varieties,*Sheffield (09.01.-13.01.2017).

I am a teaching assistant at the University of Sheffield where I have tutored classes such as Advanced Calculus and Linear Algebra,
Mathematics Core I/II and Numbers and Groups.

During my BSc and MSc at ETH Zurich I tutored Calculus, Complex Analysis and Linear Algebra as well.

In June 2018 I co-supervised a final year undergraduate student with Evgeny Shinder on a semester project on the topic:

In spring 2018 I organized the Algebraic Geometry student seminar on the