Edit Profile (opens in new tab) Shank, R. James Co-Author Distance Author ID: shank.r-james Published as: Shank, R. James; Shank, R. J. Documents Indexed: 27 Publications since 1991 Reviewing Activity: 22 Reviews Co-Authors: 14 Co-Authors with 24 Joint Publications 219 Co-Co-Authors all top 5 Co-Authors 3 single-authored 12 Wehlau, David Louis 6 Campbell, H. E. A. Eddy 4 Fleischmann, Peter 3 Harris, John C. 3 Hughes, I. P. 3 Kemper, Gregor 3 Sezer, Müfit 2 Hobson, Ashley 1 Chen, Yin 1 Chuai, Jianjun 1 Geramita, Anthony Vito 1 Hunter, Thomas J. 1 Pierron, Théo 1 Woodcock, Chris F. all top 5 Serials 4 Journal of Pure and Applied Algebra 3 Journal of Algebra 3 Transactions of the American Mathematical Society 3 Transformation Groups 2 Advances in Mathematics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Journal of Symbolic Computation 1 The Quarterly Journal of Mathematics 1 Involve Fields 23 Commutative algebra (13-XX) 14 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 2 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 181 times in 92 Documents Cited by ▼ Year ▼ S. A. G. B. I. bases for rings of formal modular seminvariants. Zbl 0929.13001 Shank, R. James 16 1998 Computing modular invariants of \(p\)-groups. Zbl 1048.13002 Shank, R. James; Wehlau, David L. 15 2002 The Noether numbers for cyclic groups of prime order. Zbl 1111.13004 Fleischmann, P.; Sezer, M.; Shank, R. J.; Woodcock, C. F. 14 2006 Bases for rings of coinvariants. Zbl 0877.20006 Campbell, H. E. A.; Hughes, I. P.; Shank, R. J.; Wehlau, D. L. 14 1996 Non-Cohen-Macaulay vector invariants and a Noether bound for a Gorenstein ring of invariants. Zbl 0942.13007 Campbell, H. E. A.; Geramita, A. V.; Hughes, I. P.; Shank, R. J.; Wehlau, D. L. 13 1999 Depth of modular invariant rings. Zbl 0961.13003 Campbell, H. E. A.; Hughes, I. P.; Kemper, G.; Shank, R. J.; Wehlau, D. L. 12 1999 Noether numbers for subrepresentations of cyclic groups of prime order. Zbl 1071.13001 Shank, R. James; Wehlau, David L. 12 2002 The transfer in modular invariant theory. Zbl 0942.13008 Shank, R. James; Wehlau, David L. 10 1999 On the coinvariants of modular representations of cyclic groups of prime order. Zbl 1096.13007 Sezer, Müfit; Shank, R. James 10 2006 Vector invariants for the two-dimensional modular representation of a cyclic group of prime order. Zbl 1198.13009 Campbell, H. E. A.; Shank, R. J.; Wehlau, D. L. 10 2010 Rings of invariants for modular representations of elementary abelian \(p\)-groups. Zbl 1264.13009 Campbell, H. E. A.; Shank, R. J.; Wehlau, D. L. 10 2013 Decomposing symmetric powers of certain modular representations of cyclic groups. Zbl 1203.13005 Shank, R. James; Wehlau, David L. 7 2010 On the depth of the invariants of the symmetric power representations of \(SL_2(\mathbb{F}_p)\). Zbl 0944.13004 Shank, R. James; Wehlau, David L. 5 1999 On the depth of cohomology modules. Zbl 1072.20061 Fleischmann, Peter; Kemper, Gregor; Shank, R. James 5 2004 The invariants of the second symmetric power representation of \(\mathrm{SL}_2 (\mathbb F_q)\). Zbl 1233.13002 Hobson, Ashley; Shank, R. James 4 2011 Depth and cohomological connectivity in modular invariant theory. Zbl 1086.13002 Fleischmann, Peter; Kemper, Gregor; Shank, R. James 4 2005 Rings of invariants for modular representations of the Klein four group. Zbl 1343.13011 Sezer, Müfit; Shank, R. James 4 2016 Lannes’ \(T\) functor on summands of \(H^*(B(\mathbb{Z}/p)^ s)\). Zbl 0759.55014 Harris, John C.; Shank, R. James 3 1992 Rings of invariants for the three-dimensional modular representations of elementary abelian \(p\)-groups of rank four. Zbl 1360.13019 Pierron, Théo; Shank, R. James 3 2016 Classical covariants and modular invariants. Zbl 1094.13008 Shank, R. J. 2 2004 Steenrod algebra module maps from \(H^*(B({\mathbb{Z}}/p)^ n)\) to \(H^*(B({\mathbb{Z}}/p)^ s)\). Zbl 0722.55013 Harris, John C.; Hunter, Thomas J.; Shank, R. James 2 1991 The relative trace ideal and the depth of modular rings of invariants. Zbl 1056.13005 Fleischmann, Peter; Shank, R. James 2 2003 Modular invariants of finite gluing groups. Zbl 1459.13008 Chen, Yin; Shank, R. James; Wehlau, David L. 2 2021 The invariants of the third symmetric power representation of \(\mathrm{SL}_2(\mathbb F_p)\). Zbl 1235.13003 Hobson, Ashley; Shank, R. James 1 2011 Representations of elementary abelian \(p\)-groups and finite subgroups of fields. Zbl 1428.13009 Campbell, H. E. A.; Chuai, J.; Shank, R. J.; Wehlau, D. L. 1 2019 Modular invariants of finite gluing groups. Zbl 1459.13008 Chen, Yin; Shank, R. James; Wehlau, David L. 2 2021 Representations of elementary abelian \(p\)-groups and finite subgroups of fields. Zbl 1428.13009 Campbell, H. E. A.; Chuai, J.; Shank, R. J.; Wehlau, D. L. 1 2019 Rings of invariants for modular representations of the Klein four group. Zbl 1343.13011 Sezer, Müfit; Shank, R. James 4 2016 Rings of invariants for the three-dimensional modular representations of elementary abelian \(p\)-groups of rank four. Zbl 1360.13019 Pierron, Théo; Shank, R. James 3 2016 Rings of invariants for modular representations of elementary abelian \(p\)-groups. Zbl 1264.13009 Campbell, H. E. A.; Shank, R. J.; Wehlau, D. L. 10 2013 The invariants of the second symmetric power representation of \(\mathrm{SL}_2 (\mathbb F_q)\). Zbl 1233.13002 Hobson, Ashley; Shank, R. James 4 2011 The invariants of the third symmetric power representation of \(\mathrm{SL}_2(\mathbb F_p)\). Zbl 1235.13003 Hobson, Ashley; Shank, R. James 1 2011 Vector invariants for the two-dimensional modular representation of a cyclic group of prime order. Zbl 1198.13009 Campbell, H. E. A.; Shank, R. J.; Wehlau, D. L. 10 2010 Decomposing symmetric powers of certain modular representations of cyclic groups. Zbl 1203.13005 Shank, R. James; Wehlau, David L. 7 2010 The Noether numbers for cyclic groups of prime order. Zbl 1111.13004 Fleischmann, P.; Sezer, M.; Shank, R. J.; Woodcock, C. F. 14 2006 On the coinvariants of modular representations of cyclic groups of prime order. Zbl 1096.13007 Sezer, Müfit; Shank, R. James 10 2006 Depth and cohomological connectivity in modular invariant theory. Zbl 1086.13002 Fleischmann, Peter; Kemper, Gregor; Shank, R. James 4 2005 On the depth of cohomology modules. Zbl 1072.20061 Fleischmann, Peter; Kemper, Gregor; Shank, R. James 5 2004 Classical covariants and modular invariants. Zbl 1094.13008 Shank, R. J. 2 2004 The relative trace ideal and the depth of modular rings of invariants. Zbl 1056.13005 Fleischmann, Peter; Shank, R. James 2 2003 Computing modular invariants of \(p\)-groups. Zbl 1048.13002 Shank, R. James; Wehlau, David L. 15 2002 Noether numbers for subrepresentations of cyclic groups of prime order. Zbl 1071.13001 Shank, R. James; Wehlau, David L. 12 2002 Non-Cohen-Macaulay vector invariants and a Noether bound for a Gorenstein ring of invariants. Zbl 0942.13007 Campbell, H. E. A.; Geramita, A. V.; Hughes, I. P.; Shank, R. J.; Wehlau, D. L. 13 1999 Depth of modular invariant rings. Zbl 0961.13003 Campbell, H. E. A.; Hughes, I. P.; Kemper, G.; Shank, R. J.; Wehlau, D. L. 12 1999 The transfer in modular invariant theory. Zbl 0942.13008 Shank, R. James; Wehlau, David L. 10 1999 On the depth of the invariants of the symmetric power representations of \(SL_2(\mathbb{F}_p)\). Zbl 0944.13004 Shank, R. James; Wehlau, David L. 5 1999 S. A. G. B. I. bases for rings of formal modular seminvariants. Zbl 0929.13001 Shank, R. James 16 1998 Bases for rings of coinvariants. Zbl 0877.20006 Campbell, H. E. A.; Hughes, I. P.; Shank, R. J.; Wehlau, D. L. 14 1996 Lannes’ \(T\) functor on summands of \(H^*(B(\mathbb{Z}/p)^ s)\). Zbl 0759.55014 Harris, John C.; Shank, R. James 3 1992 Steenrod algebra module maps from \(H^*(B({\mathbb{Z}}/p)^ n)\) to \(H^*(B({\mathbb{Z}}/p)^ s)\). Zbl 0722.55013 Harris, John C.; Hunter, Thomas J.; Shank, R. James 2 1991 all cited Publications top 5 cited Publications all top 5 Cited by 64 Authors 18 Sezer, Müfit 14 Shank, R. James 11 Wehlau, David Louis 9 Kemper, Gregor 7 Campbell, H. E. A. Eddy 7 Kohls, Martin 6 Chen, Yin 6 Elmer, Jonathan 5 Fleischmann, Peter 4 Chuai, Jianjun 4 Neusel, Mara D. 3 Erdemirci Erkuş, Deniz 3 Hai, Nguyen Dang Ho 3 Madran, Uğur 3 Symonds, Peter 3 Woodcock, Chris F. 2 Chen, Haixian 2 Hobson, Ashley 2 Hughes, Ian 2 Karagueuzian, Dikran B. 2 Nan, Jizhu 2 Schröer, Stefan 2 Tanimoto, Ryuji 1 Benson, David John 1 Blum-Smith, Ben 1 Buqaie, Tamir 1 Cziszter, Kálmán 1 Danış, Bekir 1 Domokos, Mátyás 1 Du, Rong 1 Dufresne, Emilie 1 Dwyer, William G. 1 Fodden, Brandon 1 Gao, Yun 1 Geroldinger, Alfred 1 Gordeev, Nikolai L. 1 Herzog, Jürgen 1 Hughes, I. P. 1 Kuhnigk, Kathrin 1 Kummini, Manoj 1 Lingli, Zeng 1 Lopatin, Artem A. 1 Lorenzini, Dino J. 1 Magaard, Kay 1 Marques, Sophie 1 Mondal, Mandira 1 Monico, Chris 1 Nam, Sun-Young 1 Nosaka, Takefumi 1 Oh, Young-Tak 1 Ou, Ke 1 Pattanayak, Santosha Kumar 1 Pevtsova, Julia 1 Pevzner, Alexandra 1 Powell, Geoffrey M. L. 1 Reimers, Fabian 1 Smith, Larry 1 Trivedi, Vijaylaxmi 1 Ünlü, Özgün 1 Wang, Ying 1 Wilkerson, Clarence W. jun. 1 Yamamoto, Takahiro 1 Yang, Chen 1 Zhang, Wenliang all top 5 Cited in 33 Serials 24 Journal of Algebra 12 Journal of Pure and Applied Algebra 7 Advances in Mathematics 7 Proceedings of the American Mathematical Society 5 Transformation Groups 4 Communications in Algebra 4 Mathematische Zeitschrift 3 Transactions of the American Mathematical Society 1 Linear and Multilinear Algebra 1 Arkiv för Matematik 1 Beiträge zur Algebra und Geometrie 1 Journal of Combinatorial Theory. Series A 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Topology and its Applications 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 International Journal of Mathematics 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Finite Fields and their Applications 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Algebra and its Applications 1 Algebra & Number Theory 1 Open Mathematics 1 Graduate Journal of Mathematics all top 5 Cited in 14 Fields 80 Commutative algebra (13-XX) 31 Group theory and generalizations (20-XX) 10 Algebraic geometry (14-XX) 6 Algebraic topology (55-XX) 4 Associative rings and algebras (16-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 \(K\)-theory (19-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Operator theory (47-XX) Citations by Year