Edit Profile (opens in new tab) Garkusha, Grigory Co-Author Distance Author ID: garkusha.grigory Published as: Garkusha, Grigory; Garkusha, G. A.; Garkusha, G.; 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: 34 Publications since 2000 Co-Authors: 8 Co-Authors with 19 Joint Publications 154 Co-Co-Authors all top 5 Co-Authors 15 single-authored 8 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 4 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 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 Cambridge Journal of Mathematics all top 5 Fields 17 Category theory; homological algebra (18-XX) 15 Algebraic geometry (14-XX) 12 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 158 times in 92 Documents Cited by ▼ Year ▼ Homotopy invariant presheaves with framed transfers. Zbl 1453.14066Garkusha, Grigory; Panin, Ivan 17 2020 Framed motives of algebraic varieties (after V. Voevodsky). Zbl 1491.14034Garkusha, Grigory; Panin, Ivan 14 2021 \(K\)-motives of algebraic varieties. Zbl 1284.14029Garkusha, Grigory; Panin, Ivan 11 2012 Grothendieck categories. Zbl 1007.18011Garkusha, G. A. 9 2002 Triangulated categories and the Ziegler spectrum. Zbl 1126.18005Garkusha, Grigory; Prest, Mike 9 2005 Cancellation theorem for framed motives of algebraic varieties. Zbl 1471.14050Ananyevskiy, A.; Garkusha, G.; Panin, I. 9 2021 Classifying Serre subcategories of finitely presented modules. Zbl 1133.13007Garkusha, Grigory; Prest, Mike 7 2008 Classifying finite localizations of quasicoherent sheaves. Zbl 1211.14008Garkusha, G. 7 2010 FP-injective and weakly quasi-Frobenius rings. Zbl 1052.16001Garkusha, G. A. 7 2002 On the motivic spectral sequence. Zbl 1390.19006Garkusha, Grigory; Panin, Ivan 6 2018 Torsion classes of finite type and spectra. Zbl 1211.14007Garkusha, Grigory; Prest, Mike 6 2008 Framed motives of relative motivic spheres. Zbl 1484.14048Garkusha, Grigory; Neshitov, Alexander; Panin, Ivan 6 2021 Systems of diagram categories and K-theory. II. Zbl 1074.19001Garkusha, Grigory 5 2005 Grothendieck categories of enriched functors. Zbl 1333.18014Al Hwaeer, Hassan; Garkusha, Grigory 5 2016 Reconstructing rational stable motivic homotopy theory. Zbl 1475.14046Garkusha, Grigory 5 2019 The triangulated category of \(\mathrm K\)-motives \(DK_{-}^{\mathrm{eff}}(k)\). Zbl 1327.14106Garkusha, Grigory; Panin, Ivan 5 2014 Reconstructing projective schemes from Serre subcategories. Zbl 1143.14015Garkusha, Grigory; Prest, Mike 4 2008 Duality for categories of finitely presented modules. Zbl 0971.16005Garkusha, G. A.; Generalov, A. I. 3 2000 Algebraic Kasparov \(K\)-theory. I. Zbl 1314.19005Garkusha, Grigory 3 2014 Universal bivariant algebraic \(K\)-theories. Zbl 1278.19005Garkusha, Grigory 3 2013 Injective objects in triangulated categories. Zbl 1068.18011Garkusha, Grigory; Prest, Mike 3 2004 Algebraic Kasparov \(K\)-theory. II. Zbl 1375.19013Garkusha, Grigory 2 2016 Systems of diagram categories and \(K\)-theory. I. Zbl 1136.19001Garkusha, G. 2 2007 Homotopy theory of associative rings. Zbl 1155.18011Garkusha, Grigory 2 2007 Relative homological algebra for the proper class \(\omega_f\). Zbl 1058.18008Garkusha, Grigory 2 2004 Derived categories for Grothendieck categories of enriched functors. Zbl 1423.13090Garkusha, Grigory; Jones, Darren 2 2019 Grothendieck categories as quotient categories of \((R-{\mathcal M}od,{\mathcal A}b)\). Zbl 1016.18006Garkusha, G. A.; Generalov, A. I. 1 2001 On the homotopy cofibre spectrum of \(K(R)\rightarrow G(R)\). Zbl 1026.19002Garkusha, Grigory 1 2002 Comparing motives of smooth algebraic varieties. (Comparaison des motifs de variétés algébriques lisses.) Zbl 1408.14016Garkusha, Grigory 1 2018 Framed motivic \(\Gamma \)-spaces. Zbl 07733647Garkusha, Grigory A.; Panin, Ivan A.; Østvær, Paul Arne 1 2023 Framed motivic \(\Gamma \)-spaces. Zbl 07733647Garkusha, Grigory A.; Panin, Ivan A.; Østvær, Paul Arne 1 2023 Framed motives of algebraic varieties (after V. Voevodsky). Zbl 1491.14034Garkusha, Grigory; Panin, Ivan 14 2021 Cancellation theorem for framed motives of algebraic varieties. Zbl 1471.14050Ananyevskiy, A.; Garkusha, G.; Panin, I. 9 2021 Framed motives of relative motivic spheres. Zbl 1484.14048Garkusha, Grigory; Neshitov, Alexander; Panin, Ivan 6 2021 Homotopy invariant presheaves with framed transfers. Zbl 1453.14066Garkusha, Grigory; Panin, Ivan 17 2020 Reconstructing rational stable motivic homotopy theory. Zbl 1475.14046Garkusha, Grigory 5 2019 Derived categories for Grothendieck categories of enriched functors. Zbl 1423.13090Garkusha, Grigory; Jones, Darren 2 2019 On the motivic spectral sequence. Zbl 1390.19006Garkusha, Grigory; Panin, Ivan 6 2018 Comparing motives of smooth algebraic varieties. (Comparaison des motifs de variétés algébriques lisses.) Zbl 1408.14016Garkusha, Grigory 1 2018 Grothendieck categories of enriched functors. Zbl 1333.18014Al Hwaeer, Hassan; Garkusha, Grigory 5 2016 Algebraic Kasparov \(K\)-theory. II. Zbl 1375.19013Garkusha, Grigory 2 2016 The triangulated category of \(\mathrm K\)-motives \(DK_{-}^{\mathrm{eff}}(k)\). Zbl 1327.14106Garkusha, Grigory; Panin, Ivan 5 2014 Algebraic Kasparov \(K\)-theory. I. Zbl 1314.19005Garkusha, Grigory 3 2014 Universal bivariant algebraic \(K\)-theories. Zbl 1278.19005Garkusha, Grigory 3 2013 \(K\)-motives of algebraic varieties. Zbl 1284.14029Garkusha, Grigory; Panin, Ivan 11 2012 Classifying finite localizations of quasicoherent sheaves. Zbl 1211.14008Garkusha, G. 7 2010 Classifying Serre subcategories of finitely presented modules. Zbl 1133.13007Garkusha, Grigory; Prest, Mike 7 2008 Torsion classes of finite type and spectra. Zbl 1211.14007Garkusha, Grigory; Prest, Mike 6 2008 Reconstructing projective schemes from Serre subcategories. Zbl 1143.14015Garkusha, Grigory; Prest, Mike 4 2008 Systems of diagram categories and \(K\)-theory. I. Zbl 1136.19001Garkusha, G. 2 2007 Homotopy theory of associative rings. Zbl 1155.18011Garkusha, Grigory 2 2007 Triangulated categories and the Ziegler spectrum. Zbl 1126.18005Garkusha, Grigory; Prest, Mike 9 2005 Systems of diagram categories and K-theory. II. Zbl 1074.19001Garkusha, Grigory 5 2005 Injective objects in triangulated categories. Zbl 1068.18011Garkusha, Grigory; Prest, Mike 3 2004 Relative homological algebra for the proper class \(\omega_f\). Zbl 1058.18008Garkusha, Grigory 2 2004 Grothendieck categories. Zbl 1007.18011Garkusha, G. A. 9 2002 FP-injective and weakly quasi-Frobenius rings. Zbl 1052.16001Garkusha, G. A. 7 2002 On the homotopy cofibre spectrum of \(K(R)\rightarrow G(R)\). Zbl 1026.19002Garkusha, Grigory 1 2002 Grothendieck categories as quotient categories of \((R-{\mathcal M}od,{\mathcal A}b)\). Zbl 1016.18006Garkusha, G. A.; Generalov, A. I. 1 2001 Duality for categories of finitely presented modules. Zbl 0971.16005Garkusha, G. A.; Generalov, A. I. 3 2000 all cited Publications top 5 cited Publications all top 5 Cited by 91 Authors 17 Garkusha, Grigory 6 Prest, Mike 5 Panin, Ivan A. 4 Ananyevskiy, Alexey 4 Banerjee, Abhishek 4 Yakerson, Maria 3 Estrada, Sergio 3 Feld, Niels 3 Hoyois, Marc 3 Hrbek, Michal 3 Khan, Adeel A. 3 Kolderup, Håkon 3 Neshitov, Alexander 3 Odabaşı, Sinem 2 Bachmann, Tom 2 Déglise, Frédéric 2 Elmanto, Elden 2 Holm, Henrik 2 Jin, Fangzhou 2 Jones, Darren 2 Krause, Henning 2 Laking, Rosanna 2 Raptis, George 2 Rodríguez Cirone, Emanuel Darío 2 Tabuada, Gonçalo 2 Takahashi, Ryo 2 Tsybyshev, Alekseĭ Evgen’evich 1 Al Hwaeer, Hassan 1 Angeleri Hügel, Lidia 1 Barbieri Viale, Luca 1 Bazzoni, Silvana 1 Bennett-Tennenhaus, Raphael 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 Druzhinin, Andreĭ É. 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 Parra, Carlos E. 1 Pauksztello, David 1 Pirashvili, Ilia 1 Ploog, David 1 Puninski, Gena 1 Rahn, Moritz 1 Rajani, Ravi 1 Romaniv, Oleh Mykolayovych 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 Tran Tuan Nam 1 Virili, Simone 1 Yassemi, Siamak 1 Zabavsky, Bogdan Volodymyrovych 1 Zhou, Yiqiang all top 5 Cited in 46 Serials 8 Journal of Algebra 7 Advances in Mathematics 7 Journal of Pure and Applied Algebra 4 Mathematische Zeitschrift 4 St. Petersburg Mathematical Journal 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 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 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 Journal of Homotopy and Related Structures 1 Journal of \(K\)-Theory 1 Science China. Mathematics 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Carpathian Mathematical Publications 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 13 Fields 51 Category theory; homological algebra (18-XX) 38 Algebraic geometry (14-XX) 28 Associative rings and algebras (16-XX) 25 \(K\)-theory (19-XX) 17 Commutative algebra (13-XX) 17 Algebraic topology (55-XX) 7 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