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)


2023
1.	G. A. Garkusha, I. A. Panin, P. Østvær, “Framed motivic $\Gamma$-spaces”, Izv. Math., 87:1 (2023), 1–28
2.	G. Garkusha, “Group schemes and motivic spectra”, Israel Journal of Mathematics, 2023, 1–32 (to appear) pdf
3.	G. Garkusha, A. Neshitov, “Fibrant resolutions for motivic Thom spectra”, Annals of K-theory, 8:3 (2023), 421–488 (to appear)	1 ^[x]
4.	G. Garkusha, “Correspondences and stable homotopy theory”, Transactions of the London Mathematical Society, 10:1 (2023), 124–155 (to appear) pdf	1 ^[x]

2022
5.	G. Garkusha, D. Jones, “Recollements for derived categories of enriched functors and triangulated categories of motives”, Journal of Algebra, 589 (2022), 238–272
6.	G. Garkusha, I. Panin, “Triangulated categories of framed bispectra and framed motives”, Algebra i analiz, 34:6 (2022), 135–169 ;	2 ^[x]
7.	G. Garkusha, “Semilocal Milnor K-Theory”, International Mathematics Research Notices, 2022, rnac343 , 27 pp. pdf

2021
8.	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]
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, A. Neshitov, I. Panin, “Framed motives of relative motivic spheres”, Transactions of the American Mathematical Society, 374:7 (2021), 5131–5161	8 ^[x]

2020
11.	G. Garkusha, I. Panin, “Homotopy invariant presheaves with framed transfers”, Cambridge Journal of Mathematics, 8:1 (2020), 1–94

2019
12.	G. Garkusha, “Reconstructing rational stable motivic homotopy theory”, Compositio Mathematica, 155:7 (2019), 1424–1443	10 ^[x]
13.	G. Garkusha, D. Jones, “Derived categories for Grothendieck categories of enriched functors”, Contemporary Mathematics, 730, American Mathematical Society, 2019, 23–45

2018
14.	G. Garkusha, “Comparing motives of smooth algebraic varieties”, C. R. Math. Acad. Sci. Paris, 356:11 (2018), 1100–1105	1 ^[x]

2016
15.	H. Al Hwaeer, G. Garkusha, “Grothendieck categories of enriched functors”, Journal of Algebra, 450 (2016), 204–241	5 ^[x]
16.	G. Garkusha, “Algebraic Kasparov K-theory, II”, Annals of K-theory, 1:3 (2016), 275–316	12 ^[x]

2015
17.	G. Garkusha, I. Panin, “On the motivic spectral sequence”, Journal of the Institute of Mathematics of Jussieu, 2015, 1–34 (Published online)	7 ^[x]

2014
18.	G. Garkusha, I. Panin, “The triangulated category of K-motives DK_(k)”, Journal of K-theory, 14:1 (2014), 103–137	5 ^[x]
19.	G. Garkusha, “Algebraic Kasparov K-theory. I”, Documenta Mathematica, 19 (2014), 1207–1269

2013
20.	G. Garkusha, “Universal bivariant algebraic K-theories”, Journal of Homotopy and Related Structures, 8:1 (2013), 67–116	3 ^[x]

2012
21.	G. Garkusha, I. Panin, “K-motives of algebraic varieties”, Homology, Homotopy and Applications, 14:2 (2012), 211–264	9 ^[x]

2010
22.	G. Garkusha, “R-supports in tensor triangulated categories”, Journal of Algebra and its Applications, 9:6 (2010), 1001–1014
23.	G. A. Garkusha, “Classifying finite localizations of quasi-coherent sheaves”, St. Petersburg Math. J., 21:3 (2010), 433–458

2008
24.	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]
25.	G. Garkusha, M. Prest, “Reconstructing projective schemes from Serre subcategories”, Journal of Algebra, 319:3 (2008), 1132–1153	4 ^[x]
26.	G. Garkusha, M. Prest, “Classifying Serre subcategories of finitely presented modules”, Proc. Amer. Math. Soc., 136:3 (2008), 761–770	6 ^[x]

2007
27.	G. Garkusha, “Homotopy theory of associative rings”, Advances in Mathematics, 213:2 (2007), 553–599	4 ^[x]
28.	G. Garkusha, “Systems of diagram categories and $K$-theory. I”, St. Petersburg Math. J., 18:6 (2007), 957–996

2005
29.	G. Garkusha, M. Prest, “Triangulated categories and the Ziegler spectrum”, Algebras and Representation Theory, 8:4 (2005), 499–523	6 ^[x]
30.	G. Garkusha, “Systems of diagram categories and K-theory. II”, Mathematische Zeitschrift, 249:3 (2005), 641–682	5 ^[x]

2004
31.	G. Garkusha, “Relative Homological Algebra for the Proper Class ωf”, Communications in Algebra, 32:4 (2004), 4043–4072	4 ^[x]
32.	G. Garkusha, M. Prest, “Injective objects in triangulated categories”, Journal of Algebra and its Applications, 3:4 (2004), 367–389	3 ^[x]

2002
33.	G. Garkusha, “On the homotopy cofibre spectrum of K(R)→G(R)”, Journal of Algebra and its Applications, 1:3 (2002), 327–334
34.	G. A. Garkusha, “Grothendieck categories”, St. Petersburg Math. J., 13:2 (2002), 149–200

2001
35.	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

2004
36.	G. A. Garkusha, “A note on almost regular group rings”, J. Math. Sci. (N. Y.), 120:4 (2004), 1561–1562

2000
37.	G. A. Garkusha, A. I. Generalov, “Duality for categories of finitely presented modules”, St. Petersburg Math. J., 11:6 (2000), 1051–1061

2002
38.	G. A. Garkusha, “$FP$-injective and weakly quasi-Frobenius rings”, J. Math. Sci. (New York), 112:3 (2002), 4303–4312

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