Persons: Garkusha, Grigory Anatolevich

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Garkusha, Grigory Anatolevich

Total publications:	38 (38)
in MathSciNet:	32 (32)
in zbMATH:	27 (27)
in Web of Science:	12 (12)
in Scopus:	22 (22)
Cited articles:	29
Citations:	169

Number of views:
This page:	2223
Abstract pages:	2621
Full texts:	957
References:	121

Professor

Doctor of physico-mathematical sciences

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

Website:

https://www.swansea.ac.uk/staff/g.garkusha

Keywords:

Homotopical algebra, algebraic K-theory

UDC:

512.666, 512.58, 512.66, 512.5

Subject:

Motivic homotopy theory, algebraic K-theory, algebraic geometry, ring and module theory, category theory

Main publications:

G. Garkusha, “Systems of diagram categories and K-theory. II”, Math. Z., 249:3 (2005), 641–682
G. Garkusha, “Homotopy theory of associative rings”, Adv. Math., 213:2 (2007), 553–599
G. A. Garkusha, “Klassifikatsiya konechnykh lokalizatsii kvazikogerentnykh puchkov”, Algebra i analiz, 21:3 (2009), 93–129
G. Garkusha, “Algebraic Kasparov K-theory. I”, Documenta Mathematica, 19 (2014), 1207–1269
G. Garkusha, “Algebraic Kasparov K-theory, II”, Annals of K-theory, 1 (2016), 275–316

https://www.mathnet.ru/eng/person20195

https://scholar.google.com/citations?user=Emg-aMIAAAAJ&hl=en

List of publications on ZentralBlatt

https://orcid.org/0000-0001-9836-0714

https://www.researchgate.net/profile/Grigory-Garkusha

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	G. A. Garkusha, “Grothendieck categories”, St. Petersburg Math. J., 13:2 (2002), 149–200
2.	G. Garkusha, I. Panin, “Framed motives of algebraic varieties (after V. Voevodsky)”, Journal of the American Mathematical Society, 34:1 (2021), 261–313	13 ^[x]
3.	G. Garkusha, “Algebraic Kasparov K-theory, II”, Annals of K-theory, 1:3 (2016), 275–316	12 ^[x]
4.	G. A. Garkusha, “Classifying finite localizations of quasi-coherent sheaves”, St. Petersburg Math. J., 21:3 (2010), 433–458
5.	G. Garkusha, “Reconstructing rational stable motivic homotopy theory”, Compositio Mathematica, 155:7 (2019), 1424–1443	10 ^[x]
6.	G. A. Garkusha, “$FP$-injective and weakly quasi-Frobenius rings”, J. Math. Sci. (New York), 112:3 (2002), 4303–4312
7.	G. Garkusha, I. Panin, “K-motives of algebraic varieties”, Homology, Homotopy and Applications, 14:2 (2012), 211–264	9 ^[x]
8.	G. Garkusha, A. Neshitov, I. Panin, “Framed motives of relative motivic spheres”, Transactions of the American Mathematical Society, 374:7 (2021), 5131–5161	8 ^[x]
9.	A. Ananyevskiy, G. Garkusha, I. Panin, “Cancellation theorem for framed motives of algebraic varieties”, Advances in Mathematics, 383 (2021), 107681 , 38 pp.	7 ^[x]
10.	G. Garkusha, I. Panin, “On the motivic spectral sequence”, Journal of the Institute of Mathematics of Jussieu, 2015, 1–34 (Published online)	7 ^[x]
11.	G. Garkusha, M. Prest, “Classifying Serre subcategories of finitely presented modules”, Proc. Amer. Math. Soc., 136:3 (2008), 761–770	6 ^[x]
12.	G. Garkusha, M. Prest, “Triangulated categories and the Ziegler spectrum”, Algebras and Representation Theory, 8:4 (2005), 499–523	6 ^[x]
13.	H. Al Hwaeer, G. Garkusha, “Grothendieck categories of enriched functors”, Journal of Algebra, 450 (2016), 204–241	5 ^[x]
14.	G. Garkusha, I. Panin, “The triangulated category of K-motives DK_(k)”, Journal of K-theory, 14:1 (2014), 103–137	5 ^[x]
15.	G. Garkusha, “Systems of diagram categories and K-theory. II”, Mathematische Zeitschrift, 249:3 (2005), 641–682	5 ^[x]
16.	G. A. Garkusha, A. I. Generalov, “Duality for categories of finitely presented modules”, St. Petersburg Math. J., 11:6 (2000), 1051–1061
17.	G. Garkusha, M. Prest, “Torsion classes of finite type and spectra”, K-theory and Noncommutative Geometry ., Proceedings of the ICM2006 Satellite Conference held in Valladolid, European Math. Soc. Publ. House, 2008, 393–412	4 ^[x]
18.	G. Garkusha, M. Prest, “Reconstructing projective schemes from Serre subcategories”, Journal of Algebra, 319:3 (2008), 1132–1153	4 ^[x]
19.	G. Garkusha, “Homotopy theory of associative rings”, Advances in Mathematics, 213:2 (2007), 553–599	4 ^[x]
20.	G. Garkusha, “Systems of diagram categories and $K$-theory. I”, St. Petersburg Math. J., 18:6 (2007), 957–996
21.	G. Garkusha, “Relative Homological Algebra for the Proper Class ωf”, Communications in Algebra, 32:4 (2004), 4043–4072	4 ^[x]
22.	G. A. Garkusha, I. A. Panin, P. Østvær, “Framed motivic $\Gamma$-spaces”, Izv. Math., 87:1 (2023), 1–28
23.	G. Garkusha, “Universal bivariant algebraic K-theories”, Journal of Homotopy and Related Structures, 8:1 (2013), 67–116	3 ^[x]
24.	G. Garkusha, M. Prest, “Injective objects in triangulated categories”, Journal of Algebra and its Applications, 3:4 (2004), 367–389	3 ^[x]
25.	G. Garkusha, I. Panin, “Triangulated categories of framed bispectra and framed motives”, Algebra i analiz, 34:6 (2022), 135–169 ;	2 ^[x]
26.	G. Garkusha, A. Neshitov, “Fibrant resolutions for motivic Thom spectra”, Annals of K-theory, 8:3 (2023), 421–488 (to appear)	1 ^[x]
27.	G. Garkusha, “Correspondences and stable homotopy theory”, Transactions of the London Mathematical Society, 10:1 (2023), 124–155 (to appear) pdf	1 ^[x]
28.	G. Garkusha, “Comparing motives of smooth algebraic varieties”, C. R. Math. Acad. Sci. Paris, 356:11 (2018), 1100–1105	1 ^[x]
29.	G. A. Garkusha, “A note on almost regular group rings”, J. Math. Sci. (N. Y.), 120:4 (2004), 1561–1562
30.	G. Garkusha, “Group schemes and motivic spectra”, Israel Journal of Mathematics, 2023, 1–32 (to appear) pdf
31.	G. Garkusha, D. Jones, “Recollements for derived categories of enriched functors and triangulated categories of motives”, Journal of Algebra, 589 (2022), 238–272
32.	G. Garkusha, “Semilocal Milnor K-Theory”, International Mathematics Research Notices, 2022, rnac343 , 27 pp. pdf
33.	G. Garkusha, I. Panin, “Homotopy invariant presheaves with framed transfers”, Cambridge Journal of Mathematics, 8:1 (2020), 1–94
34.	G. Garkusha, D. Jones, “Derived categories for Grothendieck categories of enriched functors”, Contemporary Mathematics, 730, American Mathematical Society, 2019, 23–45
35.	G. Garkusha, “Algebraic Kasparov K-theory. I”, Documenta Mathematica, 19 (2014), 1207–1269
36.	G. Garkusha, “R-supports in tensor triangulated categories”, Journal of Algebra and its Applications, 9:6 (2010), 1001–1014
37.	G. Garkusha, “On the homotopy cofibre spectrum of K(R)→G(R)”, Journal of Algebra and its Applications, 1:3 (2002), 327–334
38.	G. A. Garkusha, A. I. Generalov, “Grothendieck categories as quotient categories of $(R\mathrm{\text{-}mod},\mathrm{Ab})$”, Fundam. Prikl. Mat., 7:4 (2001), 983–992

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