Publications

Journal Articles

  1. Garkusha, G., Panin, I. Framed motives of algebraic varieties (after V. Voevodsky) Journal of the American Mathematical Society to appear. 1
  2. Garkusha, G., Panin, I. Homotopy invariant presheaves with framed transfers Cambridge Journal of Mathematics 8 1 1 94
  3. Garkusha, G. Reconstructing rational stable motivic homotopy theory Compositio Mathematica 155 7 1424 1443
  4. Garkusha, G. Comparing motives of smooth algebraic varieties C. R. Math. Acad. Sci. Paris 356 11 1100 1105
  5. Garkusha, G., Panin, I. On the motivic spectral sequence Journal of the Institute of Mathematics of Jussieu 17 1 137 170
  6. Garkusha, G. Algebraic Kasparov K-theory, II Annals of K-Theory 1 3 275 316
  7. Al Hwaeer, H., Garkusha, G. Grothendieck categories of enriched functors Journal of Algebra 450 204 241
  8. Garkusha, G. Algebraic Kasparov K-theory. I Documenta Mathematica 19 1207 1269
  9. Garkusha, G., Panin, I. The triangulated category of K-motives DK_(k) Journal of K-theory 14 01 103 137
  10. Garkusha, G. Universal bivariant algebraic K-theories Journal of Homotopy and Related Structures 8 1 67 116
  11. Garkusha, G., Panin, I. K-motives of algebraic varieties Homology, Homotopy and Applications 14 2 211 264
  12. Garkusha, G. R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES Journal of Algebra and Its Applications 09 06 1001 1014
  13. Garkusha, G., Garkusha, G. Classifying finite localizations of quasi-coherent sheaves Algebra i Analiz 21 3 93 129
  14. Garkusha, G., Prest, M., Garkusha, G. Classifying Serre subcategories of finitely presented modules Proc. Amer. Math. Soc. 136 3 761 770
  15. Garkusha, G., Prest, M. Reconstructing projective schemes from Serre subcategories Journal of Algebra 319 3 1132 1153
  16. Garkusha, G. Homotopy theory of associative rings Advances in Mathematics 213 2 553
  17. Garkusha, G., Garkusha, G. Systems of diagram categories and $K$-theory. I St. Petersburg Mathematical Journal 18 06 957
  18. Garkusha, G. Systems of diagram categories and K-theory. II Mathematische Zeitschrift 249 3 641
  19. Garkusha, G., Prest, M. Triangulated Categories and the Ziegler Spectrum Algebras and Representation Theory 8 4 499 523
  20. Garkusha, G. Relative Homological Algebra for the Proper Class ωf Communications in Algebra 32 10 4043

Book Chapters

  1. Garkusha, G., Jones, D. Derived categories for Grothendieck categories of enriched functors (Ed.), Model Theory of Modules, Algebras and Categories 23 45 Providence, Rhode Island American Mathematical Society

Conference Contributions

  1. Garkusha, G., Prest, M., Garkusha, G. Torsion classes of finite type and spectra K-theory and Noncommutative Geometry. Proceedings of the ICM2006 Satellite Conference held in Valladolid 393 412