The University of Sheffield School of Mathematics and Statistics The Hicks Building Hounsfield Rd Sheffield S3 7RH E-mail: e.shinder at sheffield.ac.uk |

I am a Lecturer at the University of Sheffield and a member of the Sheffield Algebraic Geometry group and I am also an associated member of the International laboratory for Mirror Symmetry and Automorphic Forms at the Higher School of Economics in Moscow.

I defended my PhD in June 2011 under the supervision of Andrei Suslin at Northwestern University. During the academic years 2011-13 I was a postdoc at the Max Planck Institute for Mathematics, University of Bonn, the Hausdorff Research Institute for Mathematics and the University of Mainz. In 2013-14 I was a Whittaker postdoc at the University of Edinburgh.

I work in Algebraic Geometry, in particular I am interested in derived categories and the Grothendieck ring of varieties, with applications in Birational Geometry and Algebraic K-theory. Here is my Google scholar page.

Teaching: MAS439 Commutative Algebra and Algebraic Geometry in Semester 2, 2016/17

Current PhD students: Nebojsa Pavic (since 2016), George Moulantzikos (since 2018)

PhD projects: I have a variety of PhD projects to offer in Algebraic Geometry on Grothendieck ring of varieties, stable rationality and derived categories of coherent sheaves. Please contact me if you are interested. Familiarity with the basics of algebraic geometry and homological algebra is necessary.

Anna Barbieri, Barbara Bolognese, Joe Karmazyn and myself organized a Sheffield GLEN workshop on 8-9 February 2018 in Sheffield.

Singularity Category Seminar, Spring 2016/17

Tom Bridgeland and myself organized a workshop "GLEN: Homological Algebraic Geometry" on 9-10 June 2016 in Sheffield.

Sergey Galkin, Michael Wemyss and myself organized a workshop "Derived categories, Motives and Zeta-functions" on 9-11 June 2014 in Edinburgh.

Lectures by Andrey Soldatenkov on Holomorphic Symplectic Manifolds on 13-18 June 2014 in Edinburgh.Tentative schedule for the Seminar on derived categories of coherent sheaves a long time ago in Bonn

• *Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics,*
*arXiv:1612.07193 [math.AG]* (with Alexander Kuznetsov), accepted to Selecta (2017);

• *Group actions on categories and Elagin's Theorem Revisited,*
*arXiv:1706.01714 [math.AG]* accepted to EJM (2017);

• *On the geometry of the LLSvS eightfold,*
*arXiv:1601.08186 [math.AG]* , (with A.Soldatenkov), accepted to KJM (2016)

• *The Bogomolov-Prokhorov invariant of surfaces as equivariant cohomology,*
*arXiv:1604.01991 [math.AG]* , accepted to BKMS (2016)

• *Derived Categories of Keum's Fake Projective Planes* (with Sergey Galkin, Ludmil Katzarkov and Anton Mellit),
Adv. in Mathematics, Vol. 278, 2015, Pages 238-253,

• *Exceptional collections of line bundles on the Beauville surface*
*arXiv:1210.3339 [math.AG]* (with Sergey Galkin),
Adv. in Mathematics, Vol. 244, 2013, Pages 1033-1050,

• *Linear Mahler Measures and Double L-values of Modular Forms*
*arXiv:1206.1454 [math.NT]* (with Masha Vlasenko),
Journal of Number Theory
Volume 142, September 2014, Pages 149-182,

• *On the motive of the group of units of a division algebra*,
Journal of K-Theory, volume 13, issue 03, pp. 533-561.

• *On the Riemann-Roch Theorem without Denominators, * (with Oleg Podkopaev) St. Petersburg Math. J. Vol. 18 (2007), No. 6, Pages 1021–1027.

• *Mishchenko and Quillen Formulas for Oriented Cohomology Pretheories, * St. Petersburg Math. J. Vol. 18 (2007), No. 4, Pages 671–678

• *K-theory and the singularity category of quotient singularities,*
*arXiv:1809.10919* (with Nebojsa Pavic)

• *Derived categories of singular surfaces,*
*arXiv:1809.10628* (with Joseph Karmazyn and Alexander Kuznetsov)

• *The motivic nearby fiber and degeneration of stable rationality,*
*arXiv:1708.02790* (with Johannes Nicaise), submitted

• *On a zeta-function of a dg-category,*
*arXiv:1506.05831 [math.AG]* (with Sergey Galkin)

• *The Fano variety of lines and rationality problem for a cubic hypersurface,*
*arXiv:1405.5154 [math.AG]* (with Sergey Galkin), submitted

• *Minifolds and Phantoms*
*arXiv:1305.4549 [math.AG]* (with Sergey Galkin, Ludmil Katzarkov and Anton Mellit)

• *Lectures on simple singularities and McKay correspondence (in Russian)*

• *Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics:*
2017 talk in Osaka

• *The Fano variety of lines and rationality problem for a cubic hypersurface:*
2014 talk in the COW seminar; 2014 talk at the EDGE workshop

• *Mathematics of the Rubik's Cube:*
My talk at a Student Seminar in Sheffield

• *Derived categories of coherent sheaves and phantoms*,
(my lectures given at the University of Mainz in the Summer 2013)

*Joe Karmazyn*

*Nebojsa Pavic*

*Oleg Podkopaev*