The University of Sheffield School of Mathematics and Statistics Hounsfield Rd Sheffield S3 7RH, UK ( Send me a postcard and I will send you one in return!)
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 Here is my Google Scholar page, my CV, and my slightly outdated Research Statement on Grothendieck ring and birational geometry and a newer Research Statement on Derived categories and singularities

MAS114 Numbers and Groups, Semester 2, 2019/20

MAS330 Topics in Number Theory, full notes 2017/18

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

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

In 2020-2023 my work on derived categories of singularities is supported by an EPSRC grant Derived categories and algebraic K-theory of singularities. Here is the mathematical content of the proposal: pdf

Various Algebraic Geometry seminars in Sheffield

Anna Barbieri, Cristina Manolache, Nebojsa Pavic and myself organized a Sheffield GLEN "Singularities in Algebra and Geometry" workshop on 13-14 November 2019 in Sheffield.

Arend Bayer, Ivan Cheltsov, Liana Heuberger and myself organized a Constructions and Obstructions in Birational Geometry workshop at ICMS on 5-9th November 2018.

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

• *The motivic nearby fiber and degeneration of stable rationality,*
*arXiv:1708.02790* (with Johannes Nicaise), Invent. Math. 217 (2019) 2, 377-413.

• *Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics,*
*arXiv:1612.07193* (with Alexander Kuznetsov), Selecta Math. (N.S.) 24 (2018), no. 4, 3475-3500.

• *Group actions on categories and Elagin's Theorem Revisited,*
*arXiv:1706.01714* , Eur. J. Math. 4 (2018), no. 1, 413-422.

• *On the geometry of the LLSvS eightfold,*
*arXiv:1601.08186* , (with Andrey Soldatenkov), Kyoto J. Math. 57 (2017), no. 4, 789-806.

• *The Bogomolov-Prokhorov invariant of surfaces as equivariant cohomology,*
*arXiv:1604.01991* , Bull. Korean Math. Soc. 54 (2017), no. 5, 1725–1741.

• *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* (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* (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

• *Obstructions to semiorthogonal decompositions for singular threefolds I: K-theory,*
*arXiv:1910.09531* (with Martin Kalck, Nebojsa Pavic), submitted

• *L-equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces,*
*arXiv:1907.01335* (with Ziyu Zhang), submitted

• *Variation of stable birational types of hypersurfaces,*
*arXiv:1903.02111* (with an appendix by Claire Voisin), submitted

• *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), submitted

• *On a zeta-function of a dg-category,*
*arXiv:1506.05831* (with Sergey Galkin)

• *The Fano variety of lines and rationality problem for a cubic hypersurface,*
*arXiv:1405.5154* (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)*

• *Geometry of singularities:*
30 minutes colloquium talk

• *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*

*Martin Kalck*

*Oleg Podkopaev*