Edit Profile (opens in new tab) Parimala, Raman Co-Author Distance Author ID: parimala.raman Published as: Parimala, R.; Parimala, Raman; Parimala, S. more...less External Links: Women in Mathematics · MGP · Wikidata · GND · IdRef Documents Indexed: 126 Publications since 1975, including 7 Additional arXiv Preprints 1 Contribution as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 43 Co-Authors with 100 Joint Publications 755 Co-Co-Authors all top 5 Co-Authors 26 single-authored 29 Sridharan, Ramaiyengar 25 Suresh, Venapally 15 Bayer-Fluckiger, Eva 13 Colliot-Thélène, Jean-Louis 12 Knus, Max-Albert 12 Ojanguren, Manuel 5 Gille, Philippe 5 Lee, Tingyu 5 Tignol, Jean-Pierre 4 Harbater, David 4 Hartmann, Julia 4 Krashen, Daniel 4 Sinclair, Parvin 4 Sujatha, Ramdorai 3 Preeti, Raman 3 Thakur, Maneesh L. 2 Auel, Asher Natan 2 Kneser, Martin 2 Merkur’ev, Aleksandr Sergeevich 2 Srinivas, Vasudevan 1 Beilinson, Alexander A. 1 Black, Jodi 1 Dijols, Sarah 1 First, Uriya A. 1 Friedlander, Eric Mark 1 Garibaldi, Skip 1 Hasemeyer, Christian 1 Iyer, Jaya N. N. 1 Kulshrestha, Amit 1 Levine, Marc Noel 1 Lewis, David W. 1 Lieblich, Max David 1 Monsurrò, Marina 1 Panin, Ivan A. 1 Quéguiner-Mathieu, Anne 1 Ramachandran, Thiagarajan 1 Rehmann, Ulf 1 Scharlau, Rudolf 1 Scharlau, Winfried 1 Schoof, René 1 Serre, Jean-Pierre 1 Soulé, Christophe 1 Tschinkel, Yuri 1 Ure, Charlotte 1 Weibel, Charles A. 1 Weiss, Richard Mark 1 Yagunov, Serge 1 Ziegler, Günter Matthias all top 5 Serials 6 Commentarii Mathematici Helvetici 6 Inventiones Mathematicae 6 Mathematische Annalen 5 Journal of Pure and Applied Algebra 5 Transactions of the American Mathematical Society 5 Documenta Mathematica 4 Duke Mathematical Journal 4 Journal of Algebra 3 Advances in Mathematics 3 American Journal of Mathematics 3 Compositio Mathematica 3 Journal of Number Theory 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 3 Pacific Journal of Mathematics 3 \(K\)-Theory 3 The Journal of Fuzzy Mathematics 2 Communications in Algebra 2 The Journal of the Indian Mathematical Society. New Series 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Proceedings of the American Mathematical Society 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Izvestiya: Mathematics 2 Annals of Mathematics. Second Series 1 Israel Journal of Mathematics 1 Archiv der Mathematik 1 Publications Mathématiques 1 Journal of Mathematics of Kyoto University 1 Michigan Mathematical Journal 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 St. Petersburg Mathematical Journal 1 Transformation Groups 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 The Asian Journal of Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Bulletin of the American Mathematical Society 1 Pure and Applied Mathematics Quarterly 1 Tata Institute of Fundamental Research. Studies in Mathematics 1 Algebraic Geometry 1 Contemporary Mathematicians all top 5 Fields 98 Number theory (11-XX) 56 Algebraic geometry (14-XX) 25 Associative rings and algebras (16-XX) 25 Group theory and generalizations (20-XX) 22 Commutative algebra (13-XX) 18 Field theory and polynomials (12-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 6 \(K\)-theory (19-XX) 3 Nonassociative rings and algebras (17-XX) 3 Category theory; homological algebra (18-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 862 times in 492 Documents Cited by ▼ Year ▼ Galois cohomology of the classical groups over fields of cohomological dimension \(\leq 2\). Zbl 0851.11024 Bayer-Fluckiger, E.; Parimala, R. 52 1995 Patching and local-global principles for homogeneous spaces over function fields of \(p\)-adic curves. Zbl 1332.11065 Colliot-Thélène, Jean-Louis; Parimala, Raman; Suresh, Venapally 43 2012 Arithmetic of linear algebraic groups over 2-dimensional geometric fields. Zbl 1129.11014 Colliot-Thélène, J.-L.; Gille, P.; Parimala, R. 38 2004 Classical groups and the Hasse principle. Zbl 0909.20029 Bayer-Fluckiger, E.; Parimala, R. 30 1998 Hermitian analogue of a theorem of Springer. Zbl 1003.11012 Parimala, R.; Sridharan, R.; Suresh, V. 30 2001 The \(u\)-invariant of the function fields of \(p\)-adic curves. Zbl 1208.11053 Parimala, Raman; Suresh, V. 25 2010 Universal unramified cohomology of cubic fourfolds containing a plane. Zbl 1426.14005 Auel, Asher; Colliot-Thélène, Jean-Louis; Parimala, Raman 24 2017 Period-index and \(u\)-invariant questions for function fields over complete discretely valued fields. Zbl 1356.11018 Parimala, R.; Suresh, V. 23 2014 Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes. Zbl 1055.14019 Colliot-Thélène, J.-L.; Ojanguren, M.; Parimala, R. 22 2002 Isotropy of quadratic forms over function fields of \(p\)-adic curves. Zbl 0972.11020 Parimala, R.; Suresh, V. 21 1998 Real components of algebraic varieties and étale cohomology. Zbl 0726.14013 Colliot-Thélène, J.-L.; Parimala, R. 21 1990 Witt groups of affine three-folds. Zbl 0674.14029 Parimala, R. 19 1988 Pfister involutions. Zbl 1049.16011 Bayer-Fluckiger, E.; Parimala, R.; Quéguiner-Mathieu, A. 18 2003 Classification theorems for central simple algebras with involution (with an appendix by R. Parimala). Zbl 0953.11011 Lewis, D. W.; Tignol, J.-P. 16 1999 Azumaya algebras with involutions. Zbl 0695.16003 Knus, M.-A.; Parimala, R.; Srinivas, V. 16 1990 Zero-cycles on quadric fibrations: Finiteness theorems and the cycle map. Zbl 0865.14002 Parimala, R.; Suresh, V. 15 1996 Projective modules over polynomial rings over division rings. Zbl 0309.16018 Parimala, S.; Sridharan, R. 15 1975 Failure of a quadratic analogue of Serre’s conjecture. Zbl 0419.13004 Parimala, S. 15 1978 Quadratic forms over polynomial rings over Dedekind domains. Zbl 0466.13007 Parimala, Raman 15 1981 On the discriminant of an involution. Zbl 0757.12002 Knus, M.-A.; Parimala, R.; Sridharan, R. 14 1991 Homogeneous varieties – zero-cycles of degree one versus rational points. Zbl 1095.14018 Parimala, R. 14 2005 Quadric surface bundles over surfaces. Zbl 1345.14046 Auel, Asher; Parimala, R.; Suresh, V. 14 2015 Involutions on rank 16 central simple algebras. Zbl 0824.16017 Knus, M.-A.; Parimala, R.; Sridharan, R. 13 1991 Discriminant of symplectic involutions. Zbl 1183.11020 Garibaldi, Skip; Parimala, R.; Tignol, Jean-Pierre 13 2009 Local-global principle for reduced norms over function fields of \(p\)-adic curves. Zbl 1469.11061 Parimala, R.; Preeti, R.; Suresh, V. 12 2018 Higher reciprocity laws and rational points. (Lois de réciprocité supérieures et points rationnels.) Zbl 1360.11068 Colliot-Thélène, J.-L.; Parimala, R.; Suresh, V. 12 2016 On compositions and triality. Zbl 0808.11028 Knus, M.-A.; Parimala, R.; Sridharan, R. 12 1994 Non-free projective modules over H(X,Y) and stable bundles over \(P_ 2(\)C). Zbl 0474.14012 Knus, M. A.; Parimala, Raman; Sridharan, R. 11 1981 Analogues of the Brauer group for algebras with involution. Zbl 0780.13002 Parimala, R.; Srinivas, V. 10 1992 Invariants of quasitrivial tori and the Rost invariant. Zbl 1041.11023 Merkurjev, A. S.; Parimala, R.; Tignol, J.-P. 10 2003 Tits’ constructions of Jordan algebras and \(F_4\) bundles on the plane. Zbl 1042.17028 Parimala, R.; Sridharan, R.; Thakur, Maneesh L. 10 1999 Witt groups of conics, elliptic, and hyperelliptic curves. Zbl 0696.14016 Parimala, R. 10 1988 A classification theorem for Albert algebras. Zbl 0898.17014 Parimala, R.; Sridharan, R.; Thakur, Maneesh L. 9 1998 Degree 3 cohomology of function fields of surfaces. Zbl 1404.14029 Parimala, Raman; Suresh, Venapally 9 2016 Hasse principle for classical groups over function fields of curves over number fields. Zbl 1026.11048 Parimala, R.; Preeti, R. 8 2003 Projective modules and Hermitian matrices. Zbl 0325.15013 Parimala, S. 8 1976 Pfaffians, central simple algebras and similitudes. Zbl 0707.16006 Knus, M.-A.; Parimala, R.; Sridharan, R. 8 1991 Hasse principles for multinorm equations. Zbl 1469.11215 Bayer-Fluckiger, E.; Lee, T.-Y.; Parimala, R. 7 2019 Jordan algebras and \(F_4\) bundles over the affine plane. Zbl 0893.17026 Parimala, R.; Suresh, V.; Thakur, Maneesh L. 7 1997 Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields. Zbl 1440.14035 Colliot-Thélène, J.-L.; Harbater, D.; Hartmann, J.; Krashen, D.; Parimala, R.; Suresh, V. 7 2019 Colliot-Thélène’s conjecture and finiteness of u-invariants. Zbl 1303.14031 Lieblich, Max; Parimala, R.; Suresh, V. 7 2014 Projective modules over quaternion algebras. Zbl 0356.16007 Parimala, S.; Sridharan, R. 7 1977 A classification of rank 6 quadratic spaces via Pfaffians. Zbl 0664.10008 Knus, M.-A.; Parimala, R.; Sridharan, R. 7 1989 Quadratic spaces over Laurent extensions of Dedekind domains. Zbl 0514.13005 Parimala, Raman 6 1983 A local global principle for quadratic forms over polynomial rings. Zbl 0472.10024 Parimala, Raman; Sridharan, R. 6 1982 Failure of a quadratic analogue of Serre’s conjecture. Zbl 0353.15035 Parimala, S. 6 1976 Hasse principle for \(G\)-trace forms. Zbl 1368.11030 Bayer-Fluckiger, E.; Parimala, R.; Serre, J.-P. 6 2013 Local-global principles for tori over arithmetic curves. Zbl 1468.11097 Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally 5 2020 Witt group of hyperelliptic curves. Zbl 0741.11023 Parimala, R.; Sujatha, R. 5 1990 A Hasse principle for quadratic forms over function fields. Zbl 1384.11065 Parimala, R. 5 2014 A question on the discriminants of involutions of central division algebras. Zbl 0803.16013 Parimala, R.; Sridharan, R.; Suresh, V. 5 1993 On the canonical class of a curve and the extension property for quadratic forms. Zbl 0815.14004 Parimala, R.; Scharlau, W. 5 1994 Arithmetic of linear algebraic groups over two-dimensional fields. Zbl 1251.20044 Parimala, R. 5 2011 Cancellation of quadratic forms over principal ideal domains. Zbl 0483.10023 Parimala, Raman 5 1982 The Kneser-Tits conjecture for groups with Tits-index E\(_{8,2}^{66}\) over an arbitrary field. Zbl 1251.20045 Parimala, R.; Tignol, J.-P.; Weiss, R. M. 5 2012 Quadratic forms over rings of dimension 1. Zbl 0453.13004 Parimala, Raman; Sridharan, R. 5 1980 Symplectic bundles over affine surfaces. Zbl 0598.14006 Ojanguren, M.; Parimala, R.; Sridharan, R. 5 1986 On rank 4 quadratic spaces with given Arf and Witt invariants. Zbl 0612.10014 Knus, M.-A.; Parimala, R.; Sridharan, R. 5 1986 Indecomposable quadratic spaces over the affine plane. Zbl 0604.10008 Parimala, Raman 5 1986 Local-global Galois theory of arithmetic function fields. Zbl 1451.11126 Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally 4 2019 Levels of non-real function fields of real rational surfaces. Zbl 0748.12001 Parimala, R.; Sujatha, R. 4 1991 Graded Witt ring and unramified cohomology. Zbl 0773.14012 Parimala, R.; Sridharan, R. 4 1992 On the length of a quadratic form. Zbl 1174.11375 Parimala, R.; Suresh, V. 4 2005 Indecomposable quadratic bundles of rank 4n over the real affine plane. Zbl 0513.14006 Ojanguren, M.; Parimala, Raman; Sridharan, R. 4 1983 Positive-definite quadratic bundles over the plane. Zbl 0507.14010 Knus, M.-A.; Ojanguren, M.; Parimala, Raman 4 1982 Cancellation of quadratic forms over polynomial rings. Zbl 0532.10015 Parimala, Raman 4 1984 Ketu and the second invariant of a quadratic space. Zbl 0802.19004 Ojanguren, M.; Parimala, R.; Sridharan, R. 4 1993 Witt groups of the punctured spectrum of a 3-dimensional regular local ring and a purity theorem. Zbl 0930.19003 Ojanguren, M.; Parimala, R.; Sridharan, R.; Suresh, V. 4 1999 Composition of quaternary quadratic forms. Zbl 0612.10015 Kneser, M.; Knus, M.-A.; Ojanguren, M.; Parimala, R.; Sridharan, R. 4 1986 Witt groups of curves over local fields. Zbl 0739.11017 Parimala, Raman 3 1989 Arithmetic of linear algebraic groups over certain fields of dimension two. (Arithmétique des groupes algébriques linéaires sur certains corps géométriques de dimension deux.) Zbl 1037.20050 Colliot-Thélène, Jean-Louis; Gille, Philippe; Parimala, Raman 3 2001 Embeddings of maximal tori in classical groups and explicit Brauer-Manin obstruction. Zbl 1452.11037 Bayer-Fluckiger, E.; Lee, T.-Y.; Parimala, R. 3 2018 Trace forms of \(G\)-Galois algebras in virtual cohomological dimension 1 and 2. Zbl 1069.12004 Bayer-Fluckiger, Eva; Monsurrò, Marina; Parimala, R.; Schoof, René 3 2004 Totaro’s question for simply connected groups of low rank. Zbl 1302.11015 Black, Jodi; Parimala, Raman 3 2014 Automorphisms of non-free projective ideals of polynomial extensions of division rings. Zbl 0465.16011 Parimala, Raman 3 1982 Projective modules over real affine algebras. Zbl 0696.13007 Ojanguren, M.; Parimala, R. 3 1990 On unramified Brauer groups of torsors over tori. Zbl 1505.11096 Bayer-Fluckiger, Eva; Parimala, Raman 2 2020 Local triviality for \(G\)-torsors. Zbl 1478.14028 Gille, P.; Parimala, R.; Suresh, V. 2 2021 On the \(u\)-invariant of function fields of curves over complete discretely valued fields. Zbl 1320.11105 Parimala, R.; Suresh, V. 2 2015 \(R\)-equivalence in adjoint classical groups over fields of virtual cohomological dimension 2. Zbl 1148.20031 Kulshrestha, Amit; Parimala, R. 2 2008 Quadratic spaces over polynomial extensions of regular rings of dimension 2. Zbl 0492.10018 Parimala, Raman 2 1982 Quadratic forms over polynomial extensions of rings of dimension one. Zbl 0495.10013 Parimala, Raman; Sinclair, Parvin 2 1982 Embedding functor for classical groups and Brauer-Manin obstruction. Zbl 1364.20037 Bayer-Fluckiger, Eva; Lee, Ting-Yu; Parimala, Raman 2 2015 Embeddings of maximal tori in classical groups over local and global fields. Zbl 1368.11032 Bayer-Fluckiger, Eva; Lee, Ting-Yu; Parimala, Raman 2 2016 Maslov index and a central extension of the symplectic group. Zbl 1037.11026 Parimala, R.; Preeti, R.; Sridharan, R. 2 2000 Reduced norms and Pfaffians via Brauer-Severi schemes. Zbl 0810.11024 Parimala, R.; Sridharan, R. 2 1994 Non-surjectivity of the Clifford invariant map. Zbl 0808.11027 Parimala, R.; Sridharan, R. 2 1994 Quadratic forms associated with projective modules over quaternion algebras. Zbl 0426.10022 Knus, M.-A.; Parimala, Raman 2 1980 On the Pfister number of quadratic forms. Zbl 1208.11055 Parimala, R.; Suresh, V.; Tignol, J.-P. 2 2009 In memoriam: Andrei Suslin. Zbl 1454.01043 Friedlander, Eric M.; Merkurjev, Alexander; Beilinson, Alexander; Haesemeyer, Christian; Levine, Marc; Panin, Ivan; Parimala, Raman; Soulé, Christophe; Weibel, Charles; Yagunov, Serge 1 2020 Hasse principle for Witt groups of function fields with special reference to elliptic curves. (Appendix by J.-L. Colliot-Thélène). Zbl 0876.11018 Parimala, R.; Sujatha, R. 1 1996 Study of quadratic forms – Some connections with geometry. Zbl 0851.11025 Parimala, Raman 1 1995 Witt groups vis-à-vis Chow groups. (With an appendix by J. L. Colliot- Thélène). Zbl 0836.14003 Parimala, R. 1 1993 On generic triality. Zbl 1032.16015 Knus, M.-A.; Parimala, R.; Sridharan, R. 1 2002 Fuzzy soft \(e\)-compactness and \(e\)-connectedness. Zbl 1402.54008 Chandrasekar, V.; Parimala, S. 1 2018 Indecomposable rank 4 quadratic spaces of non-trivial discriminant over polynomial rings. Zbl 0525.10012 Parimala, Raman; Sridharan, Raman 1 1983 Galois algebras, Hasse principle and induction-restriction methods. Zbl 1247.11046 Bayer-Fluckiger, E.; Parimala, R. 1 2011 Un théorème de pureté locale. (A local purity theorem). Zbl 0706.14003 Colliot-Thélène, Jean-Louis; Parimala, Raman; Sridharan, Ramaiyengar 1 1989 Local-global principles for constant reductive groups over semi-global fields. Zbl 1502.14059 Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, R.; Suresh, V. 1 2022 Local-global principle for classical groups over function fields of \(p\)-adic curves. Zbl 1527.11034 Parimala, Raman; Suresh, Venapally 1 2022 Local-global principles for constant reductive groups over semi-global fields. Zbl 1502.14059 Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, R.; Suresh, V. 1 2022 Local-global principle for classical groups over function fields of \(p\)-adic curves. Zbl 1527.11034 Parimala, Raman; Suresh, Venapally 1 2022 Local triviality for \(G\)-torsors. Zbl 1478.14028 Gille, P.; Parimala, R.; Suresh, V. 2 2021 Local-global principles for tori over arithmetic curves. Zbl 1468.11097 Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally 5 2020 On unramified Brauer groups of torsors over tori. Zbl 1505.11096 Bayer-Fluckiger, Eva; Parimala, Raman 2 2020 In memoriam: Andrei Suslin. Zbl 1454.01043 Friedlander, Eric M.; Merkurjev, Alexander; Beilinson, Alexander; Haesemeyer, Christian; Levine, Marc; Panin, Ivan; Parimala, Raman; Soulé, Christophe; Weibel, Charles; Yagunov, Serge 1 2020 Hasse principles for multinorm equations. Zbl 1469.11215 Bayer-Fluckiger, E.; Lee, T.-Y.; Parimala, R. 7 2019 Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields. Zbl 1440.14035 Colliot-Thélène, J.-L.; Harbater, D.; Hartmann, J.; Krashen, D.; Parimala, R.; Suresh, V. 7 2019 Local-global Galois theory of arithmetic function fields. Zbl 1451.11126 Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally 4 2019 Local-global principle for reduced norms over function fields of \(p\)-adic curves. Zbl 1469.11061 Parimala, R.; Preeti, R.; Suresh, V. 12 2018 Embeddings of maximal tori in classical groups and explicit Brauer-Manin obstruction. Zbl 1452.11037 Bayer-Fluckiger, E.; Lee, T.-Y.; Parimala, R. 3 2018 Fuzzy soft \(e\)-compactness and \(e\)-connectedness. Zbl 1402.54008 Chandrasekar, V.; Parimala, S. 1 2018 Universal unramified cohomology of cubic fourfolds containing a plane. Zbl 1426.14005 Auel, Asher; Colliot-Thélène, Jean-Louis; Parimala, Raman 24 2017 Higher reciprocity laws and rational points. (Lois de réciprocité supérieures et points rationnels.) Zbl 1360.11068 Colliot-Thélène, J.-L.; Parimala, R.; Suresh, V. 12 2016 Degree 3 cohomology of function fields of surfaces. Zbl 1404.14029 Parimala, Raman; Suresh, Venapally 9 2016 Embeddings of maximal tori in classical groups over local and global fields. Zbl 1368.11032 Bayer-Fluckiger, Eva; Lee, Ting-Yu; Parimala, Raman 2 2016 Quadric surface bundles over surfaces. Zbl 1345.14046 Auel, Asher; Parimala, R.; Suresh, V. 14 2015 On the \(u\)-invariant of function fields of curves over complete discretely valued fields. Zbl 1320.11105 Parimala, R.; Suresh, V. 2 2015 Embedding functor for classical groups and Brauer-Manin obstruction. Zbl 1364.20037 Bayer-Fluckiger, Eva; Lee, Ting-Yu; Parimala, Raman 2 2015 Period-index and \(u\)-invariant questions for function fields over complete discretely valued fields. Zbl 1356.11018 Parimala, R.; Suresh, V. 23 2014 Colliot-Thélène’s conjecture and finiteness of u-invariants. Zbl 1303.14031 Lieblich, Max; Parimala, R.; Suresh, V. 7 2014 A Hasse principle for quadratic forms over function fields. Zbl 1384.11065 Parimala, R. 5 2014 Totaro’s question for simply connected groups of low rank. Zbl 1302.11015 Black, Jodi; Parimala, Raman 3 2014 Hasse principle for \(G\)-trace forms. Zbl 1368.11030 Bayer-Fluckiger, E.; Parimala, R.; Serre, J.-P. 6 2013 Patching and local-global principles for homogeneous spaces over function fields of \(p\)-adic curves. Zbl 1332.11065 Colliot-Thélène, Jean-Louis; Parimala, Raman; Suresh, Venapally 43 2012 The Kneser-Tits conjecture for groups with Tits-index E\(_{8,2}^{66}\) over an arbitrary field. Zbl 1251.20045 Parimala, R.; Tignol, J.-P.; Weiss, R. M. 5 2012 Arithmetic of linear algebraic groups over two-dimensional fields. Zbl 1251.20044 Parimala, R. 5 2011 Galois algebras, Hasse principle and induction-restriction methods. Zbl 1247.11046 Bayer-Fluckiger, E.; Parimala, R. 1 2011 The \(u\)-invariant of the function fields of \(p\)-adic curves. Zbl 1208.11053 Parimala, Raman; Suresh, V. 25 2010 Discriminant of symplectic involutions. Zbl 1183.11020 Garibaldi, Skip; Parimala, R.; Tignol, Jean-Pierre 13 2009 On the Pfister number of quadratic forms. Zbl 1208.11055 Parimala, R.; Suresh, V.; Tignol, J.-P. 2 2009 \(R\)-equivalence in adjoint classical groups over fields of virtual cohomological dimension 2. Zbl 1148.20031 Kulshrestha, Amit; Parimala, R. 2 2008 Homogeneous varieties – zero-cycles of degree one versus rational points. Zbl 1095.14018 Parimala, R. 14 2005 On the length of a quadratic form. Zbl 1174.11375 Parimala, R.; Suresh, V. 4 2005 Arithmetic of linear algebraic groups over 2-dimensional geometric fields. Zbl 1129.11014 Colliot-Thélène, J.-L.; Gille, P.; Parimala, R. 38 2004 Trace forms of \(G\)-Galois algebras in virtual cohomological dimension 1 and 2. Zbl 1069.12004 Bayer-Fluckiger, Eva; Monsurrò, Marina; Parimala, R.; Schoof, René 3 2004 Pfister involutions. Zbl 1049.16011 Bayer-Fluckiger, E.; Parimala, R.; Quéguiner-Mathieu, A. 18 2003 Invariants of quasitrivial tori and the Rost invariant. Zbl 1041.11023 Merkurjev, A. S.; Parimala, R.; Tignol, J.-P. 10 2003 Hasse principle for classical groups over function fields of curves over number fields. Zbl 1026.11048 Parimala, R.; Preeti, R. 8 2003 Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes. Zbl 1055.14019 Colliot-Thélène, J.-L.; Ojanguren, M.; Parimala, R. 22 2002 On generic triality. Zbl 1032.16015 Knus, M.-A.; Parimala, R.; Sridharan, R. 1 2002 Hermitian analogue of a theorem of Springer. Zbl 1003.11012 Parimala, R.; Sridharan, R.; Suresh, V. 30 2001 Arithmetic of linear algebraic groups over certain fields of dimension two. (Arithmétique des groupes algébriques linéaires sur certains corps géométriques de dimension deux.) Zbl 1037.20050 Colliot-Thélène, Jean-Louis; Gille, Philippe; Parimala, Raman 3 2001 Maslov index and a central extension of the symplectic group. Zbl 1037.11026 Parimala, R.; Preeti, R.; Sridharan, R. 2 2000 Classification theorems for central simple algebras with involution (with an appendix by R. Parimala). Zbl 0953.11011 Lewis, D. W.; Tignol, J.-P. 16 1999 Tits’ constructions of Jordan algebras and \(F_4\) bundles on the plane. Zbl 1042.17028 Parimala, R.; Sridharan, R.; Thakur, Maneesh L. 10 1999 Witt groups of the punctured spectrum of a 3-dimensional regular local ring and a purity theorem. Zbl 0930.19003 Ojanguren, M.; Parimala, R.; Sridharan, R.; Suresh, V. 4 1999 Classical groups and the Hasse principle. Zbl 0909.20029 Bayer-Fluckiger, E.; Parimala, R. 30 1998 Isotropy of quadratic forms over function fields of \(p\)-adic curves. Zbl 0972.11020 Parimala, R.; Suresh, V. 21 1998 A classification theorem for Albert algebras. Zbl 0898.17014 Parimala, R.; Sridharan, R.; Thakur, Maneesh L. 9 1998 Jordan algebras and \(F_4\) bundles over the affine plane. Zbl 0893.17026 Parimala, R.; Suresh, V.; Thakur, Maneesh L. 7 1997 Zero-cycles on quadric fibrations: Finiteness theorems and the cycle map. Zbl 0865.14002 Parimala, R.; Suresh, V. 15 1996 Hasse principle for Witt groups of function fields with special reference to elliptic curves. (Appendix by J.-L. Colliot-Thélène). Zbl 0876.11018 Parimala, R.; Sujatha, R. 1 1996 Galois cohomology of the classical groups over fields of cohomological dimension \(\leq 2\). Zbl 0851.11024 Bayer-Fluckiger, E.; Parimala, R. 52 1995 Study of quadratic forms – Some connections with geometry. Zbl 0851.11025 Parimala, Raman 1 1995 On compositions and triality. Zbl 0808.11028 Knus, M.-A.; Parimala, R.; Sridharan, R. 12 1994 On the canonical class of a curve and the extension property for quadratic forms. Zbl 0815.14004 Parimala, R.; Scharlau, W. 5 1994 Reduced norms and Pfaffians via Brauer-Severi schemes. Zbl 0810.11024 Parimala, R.; Sridharan, R. 2 1994 Non-surjectivity of the Clifford invariant map. Zbl 0808.11027 Parimala, R.; Sridharan, R. 2 1994 A question on the discriminants of involutions of central division algebras. Zbl 0803.16013 Parimala, R.; Sridharan, R.; Suresh, V. 5 1993 Ketu and the second invariant of a quadratic space. Zbl 0802.19004 Ojanguren, M.; Parimala, R.; Sridharan, R. 4 1993 Witt groups vis-à-vis Chow groups. (With an appendix by J. L. Colliot- Thélène). Zbl 0836.14003 Parimala, R. 1 1993 Analogues of the Brauer group for algebras with involution. Zbl 0780.13002 Parimala, R.; Srinivas, V. 10 1992 Graded Witt ring and unramified cohomology. Zbl 0773.14012 Parimala, R.; Sridharan, R. 4 1992 On the discriminant of an involution. Zbl 0757.12002 Knus, M.-A.; Parimala, R.; Sridharan, R. 14 1991 Involutions on rank 16 central simple algebras. Zbl 0824.16017 Knus, M.-A.; Parimala, R.; Sridharan, R. 13 1991 Pfaffians, central simple algebras and similitudes. Zbl 0707.16006 Knus, M.-A.; Parimala, R.; Sridharan, R. 8 1991 Levels of non-real function fields of real rational surfaces. Zbl 0748.12001 Parimala, R.; Sujatha, R. 4 1991 Real components of algebraic varieties and étale cohomology. Zbl 0726.14013 Colliot-Thélène, J.-L.; Parimala, R. 21 1990 Azumaya algebras with involutions. Zbl 0695.16003 Knus, M.-A.; Parimala, R.; Srinivas, V. 16 1990 Witt group of hyperelliptic curves. Zbl 0741.11023 Parimala, R.; Sujatha, R. 5 1990 Projective modules over real affine algebras. Zbl 0696.13007 Ojanguren, M.; Parimala, R. 3 1990 A classification of rank 6 quadratic spaces via Pfaffians. Zbl 0664.10008 Knus, M.-A.; Parimala, R.; Sridharan, R. 7 1989 Witt groups of curves over local fields. Zbl 0739.11017 Parimala, Raman 3 1989 Un théorème de pureté locale. (A local purity theorem). Zbl 0706.14003 Colliot-Thélène, Jean-Louis; Parimala, Raman; Sridharan, Ramaiyengar 1 1989 Witt groups of affine three-folds. Zbl 0674.14029 Parimala, R. 19 1988 Witt groups of conics, elliptic, and hyperelliptic curves. Zbl 0696.14016 Parimala, R. 10 1988 Symplectic bundles over affine surfaces. Zbl 0598.14006 Ojanguren, M.; Parimala, R.; Sridharan, R. 5 1986 On rank 4 quadratic spaces with given Arf and Witt invariants. Zbl 0612.10014 Knus, M.-A.; Parimala, R.; Sridharan, R. 5 1986 Indecomposable quadratic spaces over the affine plane. Zbl 0604.10008 Parimala, Raman 5 1986 Composition of quaternary quadratic forms. Zbl 0612.10015 Kneser, M.; Knus, M.-A.; Ojanguren, M.; Parimala, R.; Sridharan, R. 4 1986 Cancellation of quadratic forms over polynomial rings. Zbl 0532.10015 Parimala, Raman 4 1984 Quadratic spaces over Laurent extensions of Dedekind domains. Zbl 0514.13005 Parimala, Raman 6 1983 Indecomposable quadratic bundles of rank 4n over the real affine plane. Zbl 0513.14006 Ojanguren, M.; Parimala, Raman; Sridharan, R. 4 1983 Indecomposable rank 4 quadratic spaces of non-trivial discriminant over polynomial rings. Zbl 0525.10012 Parimala, Raman; Sridharan, Raman 1 1983 A local global principle for quadratic forms over polynomial rings. Zbl 0472.10024 Parimala, Raman; Sridharan, R. 6 1982 Cancellation of quadratic forms over principal ideal domains. Zbl 0483.10023 Parimala, Raman 5 1982 Positive-definite quadratic bundles over the plane. Zbl 0507.14010 Knus, M.-A.; Ojanguren, M.; Parimala, Raman 4 1982 Automorphisms of non-free projective ideals of polynomial extensions of division rings. Zbl 0465.16011 Parimala, Raman 3 1982 Quadratic spaces over polynomial extensions of regular rings of dimension 2. Zbl 0492.10018 Parimala, Raman 2 1982 Quadratic forms over polynomial extensions of rings of dimension one. Zbl 0495.10013 Parimala, Raman; Sinclair, Parvin 2 1982 Quadratic forms over polynomial rings over Dedekind domains. Zbl 0466.13007 Parimala, Raman 15 1981 Non-free projective modules over H(X,Y) and stable bundles over \(P_ 2(\)C). Zbl 0474.14012 Knus, M. A.; Parimala, Raman; Sridharan, R. 11 1981 Quadratic forms over rings of dimension 1. Zbl 0453.13004 Parimala, Raman; Sridharan, R. 5 1980 Quadratic forms associated with projective modules over quaternion algebras. Zbl 0426.10022 Knus, M.-A.; Parimala, Raman 2 1980 Failure of a quadratic analogue of Serre’s conjecture. Zbl 0419.13004 Parimala, S. 15 1978 Projective modules over quaternion algebras. Zbl 0356.16007 Parimala, S.; Sridharan, R. 7 1977 Projective modules and Hermitian matrices. Zbl 0325.15013 Parimala, S. 8 1976 Failure of a quadratic analogue of Serre’s conjecture. Zbl 0353.15035 Parimala, S. 6 1976 Projective modules over polynomial rings over division rings. Zbl 0309.16018 Parimala, S.; Sridharan, R. 15 1975 all cited Publications top 5 cited Publications all top 5 Cited by 328 Authors 52 Parimala, Raman 24 Colliot-Thélène, Jean-Louis 21 Suresh, Venapally 20 Tignol, Jean-Pierre 14 Pumplün, Susanne 13 Quéguiner-Mathieu, Anne 12 Harbater, David 12 Nokhodkar, Amir Hossein 12 Sridharan, Ramaiyengar 11 Bayer-Fluckiger, Eva 10 Auel, Asher Natan 10 Gille, Philippe 10 Nguyễn Quôc Thăng 9 Becher, Karim Johannes 9 Krashen, Daniel 9 Merkur’ev, Aleksandr Sergeevich 9 Thakur, Maneesh L. 8 Chernousov, Vladimir I. 8 Hartmann, Julia 8 Mahmoudi, Mohammad Gholamzadeh 8 Unger, Thomas P. 7 Garibaldi, Skip 7 Knus, Max-Albert 7 Petersson, Holger P. 6 Astier, Vincent 6 First, Uriya A. 6 Ojanguren, Manuel 6 Preeti, Raman 6 Sujatha, Ramdorai 5 Barry, Demba 5 Dolphin, Andrew 5 Izquierdo, Diego 5 Totaro, Burt 4 Ambily, Ambattu Asokan 4 Böhning, Christian 4 Brussel, Eric S. 4 Chipchakov, Ivan D. 4 Gonzalez-Avilés, Cristian D. 4 Hu, Yong 4 Kahn, Bruno 4 Panin, Ivan A. 4 Pianzola, Arturo 4 Pirutka, Alena 4 Rapinchuk, Andrei S. 4 Rapinchuk, Igor A. 4 Reichstein, Zinovy B. 4 Scavia, Federico 4 Tengan, Eduardo 4 Voisin, Claire 3 Antieau, Benjamin 3 Benoist, Olivier 3 Berhuy, Grégory 3 Bernardara, Marcello 3 Bhaskhar, Nivedita 3 Flicker, Yuval Z. 3 Ford, Timothy J. 3 Garibaldi, Ryan Skip 3 Graf von Bothmer, Hans-Christian 3 Grenier-Boley, Nicolas 3 Gupta, Parul 3 Hooda, Neha 3 Karpenko, Nikita Aleksandrovich 3 Keshari, Manoj Kumar 3 Kopejko, V. I. 3 Kunyavskiĭ, Boris Èmmanuilovich 3 Lewis, David W. 3 Mandal, Satya 3 Rao, Ravi A. 3 Schreieder, Stefan 3 Serre, Jean-Pierre 3 Sinclair, Parvin 3 Suslin, Andreĭ Aleksandrovich 3 Tschinkel, Yuri 3 Williams, Ben 3 Wittenberg, Olivier 3 Wu, Zhengyao 3 Zainoulline, Kirill 2 Alsaody, Seidon 2 Aparna Pradeep, V. K. 2 Baek, Sanghoon 2 Balwe, Chetan T. 2 Barge, Jean 2 Black, Jodi 2 Borovoi, Mikhail V. 2 Chapman, Adam 2 De Concini, Corrado 2 Dejaiffe, Ingrid 2 Douai, Jean-Claude 2 Ducros, Antoine 2 Fiori, Andrew 2 Gordon-Sarney, Reed Leon 2 Guralnick, Robert Michael 2 Harari, David 2 Jacob, Bill 2 Karoubi, Max 2 Krasnov, Vyacheslav Alekseevich 2 Kresch, Andrew 2 Kucharz, Wojciech 2 Kulshrestha, Amit 2 Laghribi, Ahmed ...and 228 more Authors all top 5 Cited in 103 Serials 46 Journal of Algebra 36 Communications in Algebra 27 Journal of Pure and Applied Algebra 23 Transactions of the American Mathematical Society 21 Mathematische Annalen 15 Mathematische Zeitschrift 13 Inventiones Mathematicae 12 Advances in Mathematics 11 Israel Journal of Mathematics 11 Manuscripta Mathematica 11 Documenta Mathematica 10 Duke Mathematical Journal 10 Transformation Groups 9 Proceedings of the American Mathematical Society 8 Journal of Number Theory 8 \(K\)-Theory 7 Archiv der Mathematik 7 Publications Mathématiques 7 Journal of Soviet Mathematics 6 Indagationes Mathematicae. New Series 6 Journal de Théorie des Nombres de Bordeaux 6 Journal of Algebra and its Applications 6 Algebra & Number Theory 5 Bulletin of the London Mathematical Society 5 Compositio Mathematica 5 Journal für die Reine und Angewandte Mathematik 5 Expositiones Mathematicae 5 Annals of Mathematics. Second Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Forum of Mathematics, Sigma 4 Michigan Mathematical Journal 4 Proceedings of the Japan Academy. Series A 4 Journal of the American Mathematical Society 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Journal of Algebraic Geometry 4 Journal of the European Mathematical Society (JEMS) 4 Oberwolfach Reports 4 European Journal of Mathematics 3 Rocky Mountain Journal of Mathematics 3 Commentarii Mathematici Helvetici 3 Proceedings of the London Mathematical Society. Third Series 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Topology 3 Journal of \(K\)-Theory 3 Annals of \(K\)-Theory 2 Linear and Multilinear Algebra 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Monatshefte für Mathematik 2 Journal of the Ramanujan Mathematical Society 2 Turkish Journal of Mathematics 2 Bulletin des Sciences Mathématiques 2 Journal of the Institute of Mathematics of Jussieu 1 Archive for History of Exact Sciences 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Arkiv för Matematik 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tokyo Journal of Mathematics 1 Bulletin of the Iranian Mathematical Society 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Vestnik St. Petersburg University. Mathematics 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Representation Theory 1 Communications in Contemporary Mathematics 1 Advances in Geometry 1 Central European Journal of Mathematics 1 International Journal of Number Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the American Mathematical Society 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Noncommutative Geometry 1 Journal of Homotopy and Related Structures 1 Albanian Journal of Mathematics 1 Electronic Research Announcements in Mathematical Sciences 1 Science China. Mathematics 1 Journal of Mathematics ...and 3 more Serials all top 5 Cited in 23 Fields 289 Number theory (11-XX) 237 Algebraic geometry (14-XX) 130 Associative rings and algebras (16-XX) 104 Group theory and generalizations (20-XX) 63 Field theory and polynomials (12-XX) 57 Commutative algebra (13-XX) 47 Nonassociative rings and algebras (17-XX) 38 \(K\)-theory (19-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 14 Category theory; homological algebra (18-XX) 14 Algebraic topology (55-XX) 6 General and overarching topics; collections (00-XX) 6 Topological groups, Lie groups (22-XX) 5 Manifolds and cell complexes (57-XX) 4 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geometry (51-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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