Ravi A. Rao

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All published works

Action	Title	Year	Authors
+	Suslin matrices and the Euler characteristic	2023	Selby Jose Ravi A. Rao
+	Symplectic version of Gram–Schmidt process	2023	Pratyusha Chattopadhyay Ravi A. Rao
+	Visualizing the Dickson–Siegel–Eichler–Roy elementary orthogonal group	2023	A. A. Ambily Ravi A. Rao
+ PDF Chat	Generalised homotopy and commutativity principle	2022	Ravi A. Rao Sampat Sharma
+	Generalised homotopy and commutativity principle	2022	Ravi A. Rao Sampat Sharma
+	On a theorem of Keune	2021	Kuntal Chakraborty Ravi A. Rao
+ PDF Chat	The Pillars of Relative Quillen–Suslin Theory	2020	Rabeya Basu Reema Khanna Ravi A. Rao
+ PDF Chat	The Quotient Unimodular Vector Group is Nilpotent	2020	Reema Khanna Selby Jose Sampat Sharma Ravi A. Rao
+ PDF Chat	Normality of DSER elementary orthogonal group	2019	A. A. Ambily Ravi A. Rao
+ PDF Chat	Stability results for projective modules over Rees algebras	2018	Ravi A. Rao Husney Parvez Sarwar
+	The Pillars of Relative Quillen--Suslin Theory	2018	Rabeya Basu Reema Khanna Ravi A. Rao
+ PDF Chat	Homotopy and commutativity principle	2017	Ravi A. Rao Sampat Sharma
+	Homotopy and Commutativity Principle	2017	Ravi A. Rao Sampat Sharma
+	Normality of DSER elementary orthogonal group	2017	A. A. Ambily Ravi A. Rao
+	Homotopy and Commutativity Principle	2017	Ravi A. Rao Sampat Sharma
+	ON PROJECTIVE Rf1.. ft -MODULES	2016	Ravi A. Rao
+	A Study of Suslin Matrices: Their Properties and Uses	2016	Ravi A. Rao Selby Jose
+	Equality of elementary linear and symplectic orbits with respect to an alternating form	2015	Pratyusha Chattopadhyay Ravi A. Rao
+	Gram-Schmidt-Vaserstein generators for odd sized elementary groups	2015	Pratyusha Chattopadhyay Ravi A. Rao
+	The orbit set and the orthogonal quotient	2015	Ravi A. Rao Selby Jose
+ PDF Chat	Equality of linear and symplectic orbits	2015	Pratyusha Chattopadhyay Ravi A. Rao
+	Gram-Schmidt-Vaserstein generators for odd sized elementary groups	2015	Pratyusha Chattopadhyay Ravi A. Rao
+	Suslin forms and the Hodge star operator	2014	Selby Jose Ravi A. Rao
+	A nice group structure on the orbit space of unimodular rows-II	2014	Anjan K. Gupta Anuradha S. Garge Ravi A. Rao
+ PDF Chat	Extendability of quadratic modules over a polynomial extension of an equicharacteristic regular local ring	2014	A. A. Ambily Ravi A. Rao
+	Extendability of quadratic modules over a polynomial extension of an equicharacteristic regular local ring	2014	A. A. Ambily Ravi A. Rao
+	A nice group structure on the orbit space of unimodular rows-II	2012	Anjan K. Gupta Anuradha S. Garge Ravi A. Rao
+ PDF Chat	On Stably Free Modules over Affine Algebras	2012	Jean Fasel Ravi A. Rao Richard G. Swan
+	Quillen-Suslin theory for a structure theorem for the Elementary Symplectic Group	2012	Neeraj Kumar Ravi A. Rao
+	A nice group structure on the orbit space of unimodular rows-II	2012	Anjan Gupta Anuradha S. Garge Ravi A. Rao
+	Simply-laced isomonodromy systems . On the functions counting walks with small steps in the quarter plane . The structure of approximate groups . On stably free modules over affine algebras . Perfectoid spaces	2012	Philip Boalch Irina Kurkova Kilian Raschel Emmanuel Breuillard Ben Green Terence Tao Jean Fasel Ravi A. Rao Richard G. Swan Peter Scholze
+	Equality of Linear and Symplectic Orbits	2011	Pratyusha Chattopadhyay Ravi A. Rao
+	Equality of Linear and Symplectic Orbits	2011	Pratyusha Chattopadhyay Ravi A. Rao
+ PDF	Some remarks on symplectic injective stability	2010	Rabeya Basu Pratyusha Chattopadhyay Ravi A. Rao
+	Elementary symplectic orbits and improved <i>K</i><sub>1</sub>-stability	2010	Pratyusha Chattopadhyay Ravi A. Rao
+	Non-self-dual Stably Free Modules	2010	Madhav V. Nori Ravi A. Rao Richard G. Swan
+	Commutative algebra and combinatorics : proceedings of the International Conference on Computational Algebraic Geometry, Harish-Chandra Research Institute, allahabad, December 2003	2010	Ram Kumar Gurjar Sumitra Mangesh Katre Ravi A. Rao J. K. Verma
+	Injective stability for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math> of classical modules	2009	Rabeya Basu Ravi A. Rao
+	Local-global principle for transvection groups	2009	Anthony Bak Rabeya Basu Ravi A. Rao
+	Injective stability for K1 of the orthogonal group	2009	Ravi A. Rao Rabeya Basu Selby Jose
+ PDF	A stably elementary homotopy	2009	Ravi A. Rao
+	Injective Stability for K_1 of Classical Modules	2009	Rabeya Basu Ravi A. Rao
+	Local-Global Principle for Transvection Groups	2009	Anthony Bak Rabeya Basu Ravi A. Rao
+	Solving linear systems via Pfaffians	2008	S. A. Katre Ravi A. Rao D.N. Sheth
+ PDF	A group structure on squares	2007	Ravi A. Rao Selby Jose
+	A nice group structure on the orbit space of unimodular rows	2007	Anuradha S. Garge Ravi A. Rao
+	Quillen–Suslin theory revisited	2007	Ravi A. Rao Selby Jose
+	Commutative algebra and combinatorics : proceedings of the International Workshop and Conference on Computational Algebraic Geometry, December 8-13, 2003	2007	R. V. Gurjar S. A. Katre Ravi A. Rao J. K. Verma
+	A structure theorem for the elementary unimodular vector group	2005	Selby Jose Ravi A. Rao
+	Ideals and reality : projective modules and number of generators of ideals	2005	Friedrich Ischebeck Ravi A. Rao
+	A local global principle for the elementary unimodular vector group	2005	Selby Jose Ravi A. Rao
+	On Quillen’s local global principle	2005	Rabeya Basu Ravi A. Rao Reema Khanna
+	An Abelian Group Structure on Orbits of “Unimodular Squares” in Dimension 3	1998	Ravi A. Rao
+ PDF	On Completing Unimodular Polynomial Vectors of Length Three	1991	Ravi A. Rao
+ PDF	On completing unimodular polynomial vectors of length three	1991	Ravi A. Rao
+	The Bass-Quillen conjecture in dimension three but characteristic ?2, 3 via a question of A. Suslin	1988	Ravi A. Rao
+	A Question of H. Bass on the Cancellative Nature of Large Projective Modules Over Polynomial Rings	1988	Ravi A. Rao
+	Two examples of the Bass-Quillen-Suslin Conjectures	1987	Ravi A. Rao
+	On Projective R f 1 � f t -Modules	1985	Ravi A. Rao
+	The Bass-Murthy question: Serre dimension of Laurent polynomial extensions	1985	S. M. Bhatwadekar Hartmut Lindel Ravi A. Rao
+	A note on the serre dimension of polynomial rings	1985	Ravi A. Rao
+ PDF	An elementary transformation of a special unimodular vector to its top coefficient vector	1985	Ravi A. Rao
+	Extendability of quadratic modules with sufficient Witt index, II	1984	Ravi A. Rao
+	Extendability of quadratic modules with sufficient witt index	1984	Ravi A. Rao
+ PDF	On a question of Quillen	1983	S. M. Bhatwadekar Ravi A. Rao
+	Stability theorems for overrings of polynomial rings, II	1982	Ravi A. Rao

Common Coauthors

Coauthor	Papers Together
Selby Jose	10
Pratyusha Chattopadhyay	9
Rabeya Basu	9
Sampat Sharma	6
A. A. Ambily	5
Reema Khanna	4
Anuradha S. Garge	4
Richard G. Swan	3
Anthony Bak	2
Anjan K. Gupta	2
J. K. Verma	2
S. M. Bhatwadekar	2
S. A. Katre	2
Jean Fasel	2
R. V. Gurjar	1
Ben Green	1
Irina Kurkova	1
Husney Parvez Sarwar	1
Neeraj Kumar	1
Ram Kumar Gurjar	1
Anjan Gupta	1
D.N. Sheth	1
Terence Tao	1
Kilian Raschel	1
Peter Scholze	1
Madhav V. Nori	1
Hartmut Lindel	1
Emmanuel Breuillard	1
Sumitra Mangesh Katre	1
Kuntal Chakraborty	1
Philip Boalch	1
Friedrich Ischebeck	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS	1977	Andrei Suslin	34
+	SERRE'S PROBLEM ON PROJECTIVE MODULES OVER POLYNOMIAL RINGS, AND ALGEBRAIC $ K$-THEORY	1976	L. N. Vaserstein Andrei Suslin	27
+	Projective modules over polynomial rings	1976	Daniel Quillen	27
+	A group structure on certain orbit sets of unimodular rows	1983	Wilberd van der Kallen	21
+	ON STABLY FREE MODULES	1977	Andrei Suslin	18
+ PDF	A module structure on certain orbit sets of unimodular rows	1989	Wilberd van der Kallen	15
+	ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING	1969	L. N. Vaserstein	14
+ PDF	The general linear group of polynomial rings over regular rings	1981	Ton Vorst	14
+	Algebraic K-theory	1968	Hyman Bass	14
+	Operations on orbits of unimodular vectors	1986	L. N. Vaserstein	14
+ PDF	On stably extended projective modules over polynomial rings	1986	Moshe Roitman	12
+	THE STABILIZATION OF SYMPLECTIC GROUPS OVER A POLYNOMIAL RING	1978	V. I. Kopeĭko	11
+	On the Bass-Quillen conjecture concerning projective modules over polynomial rings	1981	Hartmut Lindel	10
+	Solution of the congruence subgroup problem for SL n (n ≥ 3) and Sp2n (n ≥ 2)	1967	Hyman Bass John Milnor Jean-Pierre Serre	10
+	The Bass-Quillen conjecture in dimension three but characteristic ?2, 3 via a question of A. Suslin	1988	Ravi A. Rao	10
+	Mennicke symbols and their applications in the k-theory of fields	1982	A. A. Suslin	10
+	A structure theorem for the elementary unimodular vector group	2005	Selby Jose Ravi A. Rao	10
+	Application of patching diagrams to some questions about projective modules	1982	Amit Roy	10
+ PDF	On unimodular rows	1985	Moshe Roitman	9
+	The Conjectures of Eisenbud and Evans	1983	Barton R. Plumstead	9
+	Elementary symplectic orbits and improved <i>K</i><sub>1</sub>-stability	2010	Pratyusha Chattopadhyay Ravi A. Rao	9
+	Serre's conjecture	1978	Tsit Yuen Lam	9
+ PDF	K1 of Chevalley groups are nilpotent	2003	Roozbeh Hazrat N. A. Vavilov	8
+ PDF	A stably elementary homotopy	2009	Ravi A. Rao	8
+ PDF	Projective modules over Laurent polynomial rings	1978	Richard G. Swan	8
+	Nonabelian K-theory: The nilpotent class of K1 and general stability	1991	Anthony Bak	8
+	Two examples of the Bass-Quillen-Suslin Conjectures	1987	Ravi A. Rao	7
+	STABILIZATION OF UNITARY AND ORTHOGONAL GROUPS OVER A RING WITH INVOLUTION	1970	L. N. Vaserstein	7
+	Serre’s Problem on Projective Modules	2006	Tsit Yuen Lam	7
+	Injective stability for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math> of classical modules	2009	Rabeya Basu Ravi A. Rao	7
+	A cancellation theorem for projective modules in the metastable range	1974	Richard G. Swan	7
+ PDF	An elementary transformation of a special unimodular vector to its top coefficient vector	1985	Ravi A. Rao	7
+	Computation of k<sub>1</sub>Via mennicke symbols	1987	L. N. Vaserstein	6
+	Extendability of quadratic modules with sufficient witt index	1984	Ravi A. Rao	6
+	Stability theorems for overrings of polynomial rings	1982	S. M. Bhatwadekar Amit Roy	6
+	Cancellation of quadratic forms over commutative rings	1968	Amit Roy	6
+ PDF Chat	On Stably Free Modules over Affine Algebras	2012	Jean Fasel Ravi A. Rao Richard G. Swan	6
+	A nice group structure on the orbit space of unimodular rows	2007	Anuradha S. Garge Ravi A. Rao	6
+ PDF	Quadratic modules and the orthogonal group over polynomial rings	1982	Andrei Suslin V. I. Kopeĭko	5
+ PDF	On completing unimodular polynomial vectors of length three	1991	Ravi A. Rao	5
+	Quadratic forms over regular rings	1980	Manuel Ojanguren	5
+	A local global principle for the elementary unimodular vector group	2005	Selby Jose Ravi A. Rao	5
+	Local-global principle for transvection groups	2009	Anthony Bak Rabeya Basu Ravi A. Rao	5
+	On the structure of theGL 2 of a ring	1966	P. M. Cohn	5
+	Stability theorems for overrings of polynomial rings, II	1982	Ravi A. Rao	5
+	Introduction to algebraic K-theory	1971	John Milnor	4
+ PDF Chat	Optimal injective stability for the symplectic K1Sp group	2014	Anjan K. Gupta	4
+	Equality of elementary linear and symplectic orbits with respect to an alternating form	2015	Pratyusha Chattopadhyay Ravi A. Rao	4
+	Efficient generation of ideals in polynomial rings	1983	Budh Nashier	4
+	Quadratic Forms Over Polynomial Rings Over Dedekind Domains	1981	R. Parimala	4