Edit Profile (opens in new tab) Garkusha, Grigory Co-Author Distance Author ID: garkusha.grigory Published as: Garkusha, Grigory; Garkusha, G.; Garkusha, G. A.; Garkusha, Grigory A. more...less Further Spellings: Garkusha, Grigory Anatolevich; Garkusha, Grigoriĭ Anatolevich Homepage: https://www.swansea.ac.uk/staff/science/maths/garkusha-g/ External Links: MGP · ORCID · ResearchGate · Math-Net.Ru Documents Indexed: 38 Publications since 2000, including 1 Additional arXiv Preprint Co-Authors: 8 Co-Authors with 20 Joint Publications 171 Co-Co-Authors all top 5 Co-Authors 18 single-authored 9 Panin, Ivan A. 5 Prest, Mike 2 Generalov, Aleksandr Ivanovich 2 Jones, Darren 2 Neshitov, Alexander 1 Al Hwaeer, Hassan 1 Ananyevskiy, Alexey 1 Østvær, Paul Arne all top 5 Serials 5 St. Petersburg Mathematical Journal 3 Journal of Algebra 3 Journal of Algebra and its Applications 2 Advances in Mathematics 2 Annals of \(K\)-Theory 1 Communications in Algebra 1 Compositio Mathematica 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of Mathematical Sciences (New York) 1 Izvestiya: Mathematics 1 Documenta Mathematica 1 Fundamental’naya i Prikladnaya Matematika 1 Algebras and Representation Theory 1 Homology, Homotopy and Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Homotopy and Related Structures 1 Journal of \(K\)-Theory 1 Transactions of the London Mathematical Society 1 Cambridge Journal of Mathematics all top 5 Fields 19 Category theory; homological algebra (18-XX) 17 Algebraic geometry (14-XX) 14 Algebraic topology (55-XX) 10 \(K\)-theory (19-XX) 8 Associative rings and algebras (16-XX) 4 Commutative algebra (13-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 181 times in 99 Documents Cited by ▼ Year ▼ Homotopy invariant presheaves with framed transfers. Zbl 1453.14066 Garkusha, Grigory; Panin, Ivan 20 2020 Framed motives of algebraic varieties (after V. Voevodsky). Zbl 1491.14034 Garkusha, Grigory; Panin, Ivan 17 2021 \(K\)-motives of algebraic varieties. Zbl 1284.14029 Garkusha, Grigory; Panin, Ivan 12 2012 Cancellation theorem for framed motives of algebraic varieties. Zbl 1471.14050 Ananyevskiy, A.; Garkusha, G.; Panin, I. 11 2021 Triangulated categories and the Ziegler spectrum. Zbl 1126.18005 Garkusha, Grigory; Prest, Mike 10 2005 Grothendieck categories. Zbl 1007.18011 Garkusha, G. A. 10 2002 Classifying finite localizations of quasicoherent sheaves. Zbl 1211.14008 Garkusha, G. 10 2010 Framed motives of relative motivic spheres. Zbl 1484.14048 Garkusha, Grigory; Neshitov, Alexander; Panin, Ivan 8 2021 Classifying Serre subcategories of finitely presented modules. Zbl 1133.13007 Garkusha, Grigory; Prest, Mike 7 2008 FP-injective and weakly quasi-Frobenius rings. Zbl 1052.16001 Garkusha, G. A. 7 2002 Torsion classes of finite type and spectra. Zbl 1211.14007 Garkusha, Grigory; Prest, Mike 6 2008 The triangulated category of \(\mathrm K\)-motives \(DK_{-}^{\mathrm{eff}}(k)\). Zbl 1327.14106 Garkusha, Grigory; Panin, Ivan 6 2014 On the motivic spectral sequence. Zbl 1390.19006 Garkusha, Grigory; Panin, Ivan 6 2018 Reconstructing rational stable motivic homotopy theory. Zbl 1475.14046 Garkusha, Grigory 6 2019 Systems of diagram categories and K-theory. II. Zbl 1074.19001 Garkusha, Grigory 5 2005 Grothendieck categories of enriched functors. Zbl 1333.18014 Al Hwaeer, Hassan; Garkusha, Grigory 5 2016 Reconstructing projective schemes from Serre subcategories. Zbl 1143.14015 Garkusha, Grigory; Prest, Mike 4 2008 Algebraic Kasparov \(K\)-theory. I. Zbl 1314.19005 Garkusha, Grigory 4 2014 Duality for categories of finitely presented modules. Zbl 0971.16005 Garkusha, G. A.; Generalov, A. I. 3 2000 Injective objects in triangulated categories. Zbl 1068.18011 Garkusha, Grigory; Prest, Mike 3 2004 Algebraic Kasparov \(K\)-theory. II. Zbl 1375.19013 Garkusha, Grigory 3 2016 Universal bivariant algebraic \(K\)-theories. Zbl 1278.19005 Garkusha, Grigory 3 2013 Homotopy theory of associative rings. Zbl 1155.18011 Garkusha, Grigory 2 2007 Systems of diagram categories and \(K\)-theory. I. Zbl 1136.19001 Garkusha, G. 2 2007 Relative homological algebra for the proper class \(\omega_f\). Zbl 1058.18008 Garkusha, Grigory 2 2004 Derived categories for Grothendieck categories of enriched functors. Zbl 1423.13090 Garkusha, Grigory; Jones, Darren 2 2019 Framed motivic \(\Gamma \)-spaces. Zbl 07733647 Garkusha, Grigory A.; Panin, Ivan A.; Østvær, Paul Arne 2 2023 Grothendieck categories as quotient categories of \((R-{\mathcal M}od,{\mathcal A}b)\). Zbl 1016.18006 Garkusha, G. A.; Generalov, A. I. 1 2001 On the homotopy cofibre spectrum of \(K(R)\rightarrow G(R)\). Zbl 1026.19002 Garkusha, Grigory 1 2002 Fibrant resolutions for motivic Thom spectra. Zbl 1527.14048 Garkusha, Grigory; Neshitov, Alexander 1 2023 Recollements for derived categories of enriched functors and triangulated categories of motives. Zbl 1484.18005 Garkusha, Grigory; Jones, Darren 1 2022 Comparing motives of smooth algebraic varieties. (Comparaison des motifs de variétés algébriques lisses.) Zbl 1408.14016 Garkusha, Grigory 1 2018 Framed motivic \(\Gamma \)-spaces. Zbl 07733647 Garkusha, Grigory A.; Panin, Ivan A.; Østvær, Paul Arne 2 2023 Fibrant resolutions for motivic Thom spectra. Zbl 1527.14048 Garkusha, Grigory; Neshitov, Alexander 1 2023 Recollements for derived categories of enriched functors and triangulated categories of motives. Zbl 1484.18005 Garkusha, Grigory; Jones, Darren 1 2022 Framed motives of algebraic varieties (after V. Voevodsky). Zbl 1491.14034 Garkusha, Grigory; Panin, Ivan 17 2021 Cancellation theorem for framed motives of algebraic varieties. Zbl 1471.14050 Ananyevskiy, A.; Garkusha, G.; Panin, I. 11 2021 Framed motives of relative motivic spheres. Zbl 1484.14048 Garkusha, Grigory; Neshitov, Alexander; Panin, Ivan 8 2021 Homotopy invariant presheaves with framed transfers. Zbl 1453.14066 Garkusha, Grigory; Panin, Ivan 20 2020 Reconstructing rational stable motivic homotopy theory. Zbl 1475.14046 Garkusha, Grigory 6 2019 Derived categories for Grothendieck categories of enriched functors. Zbl 1423.13090 Garkusha, Grigory; Jones, Darren 2 2019 On the motivic spectral sequence. Zbl 1390.19006 Garkusha, Grigory; Panin, Ivan 6 2018 Comparing motives of smooth algebraic varieties. (Comparaison des motifs de variétés algébriques lisses.) Zbl 1408.14016 Garkusha, Grigory 1 2018 Grothendieck categories of enriched functors. Zbl 1333.18014 Al Hwaeer, Hassan; Garkusha, Grigory 5 2016 Algebraic Kasparov \(K\)-theory. II. Zbl 1375.19013 Garkusha, Grigory 3 2016 The triangulated category of \(\mathrm K\)-motives \(DK_{-}^{\mathrm{eff}}(k)\). Zbl 1327.14106 Garkusha, Grigory; Panin, Ivan 6 2014 Algebraic Kasparov \(K\)-theory. I. Zbl 1314.19005 Garkusha, Grigory 4 2014 Universal bivariant algebraic \(K\)-theories. Zbl 1278.19005 Garkusha, Grigory 3 2013 \(K\)-motives of algebraic varieties. Zbl 1284.14029 Garkusha, Grigory; Panin, Ivan 12 2012 Classifying finite localizations of quasicoherent sheaves. Zbl 1211.14008 Garkusha, G. 10 2010 Classifying Serre subcategories of finitely presented modules. Zbl 1133.13007 Garkusha, Grigory; Prest, Mike 7 2008 Torsion classes of finite type and spectra. Zbl 1211.14007 Garkusha, Grigory; Prest, Mike 6 2008 Reconstructing projective schemes from Serre subcategories. Zbl 1143.14015 Garkusha, Grigory; Prest, Mike 4 2008 Homotopy theory of associative rings. Zbl 1155.18011 Garkusha, Grigory 2 2007 Systems of diagram categories and \(K\)-theory. I. Zbl 1136.19001 Garkusha, G. 2 2007 Triangulated categories and the Ziegler spectrum. Zbl 1126.18005 Garkusha, Grigory; Prest, Mike 10 2005 Systems of diagram categories and K-theory. II. Zbl 1074.19001 Garkusha, Grigory 5 2005 Injective objects in triangulated categories. Zbl 1068.18011 Garkusha, Grigory; Prest, Mike 3 2004 Relative homological algebra for the proper class \(\omega_f\). Zbl 1058.18008 Garkusha, Grigory 2 2004 Grothendieck categories. Zbl 1007.18011 Garkusha, G. A. 10 2002 FP-injective and weakly quasi-Frobenius rings. Zbl 1052.16001 Garkusha, G. A. 7 2002 On the homotopy cofibre spectrum of \(K(R)\rightarrow G(R)\). Zbl 1026.19002 Garkusha, Grigory 1 2002 Grothendieck categories as quotient categories of \((R-{\mathcal M}od,{\mathcal A}b)\). Zbl 1016.18006 Garkusha, G. A.; Generalov, A. I. 1 2001 Duality for categories of finitely presented modules. Zbl 0971.16005 Garkusha, G. A.; Generalov, A. I. 3 2000 all cited Publications top 5 cited Publications all top 5 Cited by 95 Authors 19 Garkusha, Grigory 7 Panin, Ivan A. 6 Prest, Mike 4 Ananyevskiy, Alexey 4 Banerjee, Abhishek 4 Hrbek, Michal 4 Yakerson, Maria 3 Estrada, Sergio 3 Feld, Niels 3 Hoyois, Marc 3 Khan, Adeel A. 3 Kolderup, Håkon 3 Neshitov, Alexander 3 Odabaşı, Sinem 2 Bachmann, Tom 2 Bennett-Tennenhaus, Raphael 2 Déglise, Frédéric 2 Druzhinin, Andreĭ É. 2 Elmanto, Elden 2 Holm, Henrik 2 Jin, Fangzhou 2 Jones, Darren 2 Krause, Henning 2 Laking, Rosanna 2 Parra, Carlos E. 2 Raptis, George 2 Tabuada, Gonçalo 2 Takahashi, Ryo 2 Tsybyshev, Alekseĭ Evgen’evich 2 Virili, Simone 1 Al Hwaeer, Hassan 1 Angeleri Hügel, Lidia 1 Barbieri Viale, Luca 1 Bazzoni, Silvana 1 Bondarko, Mikhail Vladimirovich 1 Breaz, Simion 1 Broomhead, Nathan T. 1 Cisinski, Denis-Charles 1 Crivei, Septimiu 1 Dean, Samuel 1 Do Ngoc Yen 1 Ellis, Eugenia 1 Enochs, Edgar E. 1 Fasel, Jean 1 Gillespie, James 1 Guil Asensio, Pedro A. 1 Haugland, Johanne 1 Hovey, Mark A. 1 Hustad Sandøy, Mads 1 Imamura, Yuki 1 Iyengar, Srikanth B. 1 Jelisiejew, Joachim 1 Kanda, Ryo 1 Kelly, Shane P. 1 Keskin Tutuncu, Derya 1 Koşan, Muhammet Tamer 1 Kuku, Aderemi Oluyomi 1 Kumallagov, D. Z. 1 Lee, Tsiu-Kwen 1 Levine, Marc Noel 1 Lockridge, Keir H. 1 Mahdou, Najib 1 Martini, Lorenzo 1 Matsui, Hiroki 1 Modoi, George Ciprian 1 Muro, Fernando 1 Nardin, Denis 1 Neeman, Amnon 1 Nguyễn Minh Trí 1 Østvær, Paul Arne 1 Pauksztello, David 1 Pavon, Sergio 1 Pirashvili, Ilia 1 Ploog, David 1 Puninski, Gena 1 Rahn, Moritz 1 Rajani, Ravi 1 Rodríguez Cirone, Emanuel Darío 1 Romaniv, Oleh Mykolayovych 1 Saorín, Manuel 1 Shah, Amit 1 Shaul, Liran 1 Shen, Liang 1 Shitov, Yaroslav Nikolaevich 1 Slávik, Alexander 1 Sorokin, O. S. 1 Sosnilo, Vladimir Aleksandrovich 1 Šťovíček, Jan 1 Tamekkante, Mohammed 1 Toksoy, Sultan Eylem 1 Tran Tuan Nam 1 Yassemi, Siamak 1 Yiğit, Aliye 1 Zabavsky, Bogdan Volodymyrovych 1 Zhou, Yiqiang all top 5 Cited in 51 Serials 9 Journal of Algebra 7 Advances in Mathematics 7 Journal of Pure and Applied Algebra 5 St. Petersburg Mathematical Journal 4 Mathematische Zeitschrift 4 Documenta Mathematica 3 Communications in Algebra 3 Algebras and Representation Theory 3 Journal of Algebra and its Applications 2 Publicacions Matemàtiques 2 Journal of Mathematical Sciences (New York) 2 Selecta Mathematica. New Series 2 Journal of the European Mathematical Society (JEMS) 2 Algebraic & Geometric Topology 2 Journal of the Institute of Mathematics of Jussieu 2 Annals of \(K\)-Theory 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 International Journal of Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Applied Categorical Structures 1 Representation Theory 1 Geometry & Topology 1 Matematychni Studiï 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Homotopy and Related Structures 1 Journal of \(K\)-Theory 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Carpathian Mathematical Publications 1 Transactions of the London Mathematical Society 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 13 Fields 57 Category theory; homological algebra (18-XX) 41 Algebraic geometry (14-XX) 29 Associative rings and algebras (16-XX) 26 \(K\)-theory (19-XX) 19 Algebraic topology (55-XX) 18 Commutative algebra (13-XX) 8 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) Citations by Year