V. Lakshmibai

Q: What Schools Are Affiliated With V. Lakshmibai

V. Lakshmibai is affiliated with the following schools: Tata Institute of Fundamental Research, Northeastern University

V. Lakshmibai's AcademicInfluence.com Rankings

V. Lakshmibai

Mathematics

#3427

World Rank

#5059

Historical Rank

Measure Theory

#3607

World Rank

#4255

Historical Rank

mathematics Degrees

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Mathematics

Why Is V. Lakshmibai Influential?

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According to Wikipedia, Venkatraman Lakshmibai is an Indian mathematician who is a professor emerita of mathematics at Northeastern University in Boston. Her research concerns algebraic geometry, the theory of algebraic groups, and representation theory, including in particular the theory of flag varieties and Schubert varieties.

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V. Lakshmibai's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Singular Loci of Schubert Varieties (2000) (328)
Criterion for smoothness of Schubert varieties in Sl(n)/B (1990) (204)
Geometry of $G/P$ (1979) (106)
Geometry of GP−V (1986) (95)
Multiplicities of points on a Schubert variety in a minuscule GP (1990) (68)
A geometric approach to Standard Monomial Theory (2001) (59)
Standard Monomial Theory for Bott–Samelson Varieties (1997) (59)
ARITHMETIC COHEN-MACAULAYNESS AND ARITHMETIC NORMALITY FOR SCHUBERT VARIETIES (1981) (54)
Geometry ofG/P—IV (Standard monomial theory for classical types) (1979) (51)
Standard Monomial Theory: Invariant Theoretic Approach (2007) (50)
Degeneracy schemes, quiver schemes, and Schubert varieties (1998) (50)
Standard Monomial Theory and applications (1998) (48)
Geometry of G/P-II [The work of De Concini and Procesi and the basic conjectures] (1978) (48)
Singular locus of a Schubert variety (1984) (47)
Schubert varieties, toric varieties, and ladder determinantal varieties (1997) (32)
Richardson varieties and equivariant K-theory (2002) (30)
Equivariant Giambelli and determinantal restriction formulas for the Grassmannian (2005) (30)
Richardson Varieties in the Grassmannian (2002) (28)
Flag Varieties: An Interplay of Geometry, Combinatorics, and Representation Theory (2009) (27)
Frobenius Splittings and Blow-ups (1998) (24)
Multiplicities of Singular Points in Schubert Varieties of Grassmannians (2001) (23)
Singular Loci of Ladder Determinantal Varieties and Schubert Varieties (2000) (21)
The Grassmannian Variety (2015) (19)
Tangent spaces to Schubert varieties (1995) (18)
The Development of Standard Monomial Theory-II (2003) (15)
Singular loci of Schubert varieties for classical groups (1987) (14)
The Grassmannian Variety: Geometric and Representation-Theoretic Aspects (2015) (14)
Singular loci of Bruhat-Hibi toric varieties (2007) (12)
Geometry of GP—VII—The symplectic group and the involution σ (1987) (12)
Standard Monomial Theory for Bott-Samelson Varieties of GL(n) (1997) (11)
Geometry of GP—VI—Bases for fundamental representations of classical groups (1987) (11)
Singular Loci of Hibi toric varieties (2007) (11)
Singular loci of Grassmann-Hibi toric varieties (2006) (10)
Quantum Deformations of SL n /B and its Schubert Varieties (1991) (10)
Standard bases for affine SL(n)-modules (2004) (9)
On Ideal Generators for Affine Schubert Varieties (2004) (9)
Multiplicities of points on a Schubert variety (1995) (9)
Singular loci of varieties of complexes (2000) (8)
Gröbner bases and standard monomial bases (1996) (7)
COTANGENT BUNDLE TO THE GRASSMANN VARIETY (2015) (7)
Levi Subgroup Actions on Schubert Varieties, Induced Decompositions of their Coordinate Rings, and Sphericity Consequences (2016) (7)
Geometry of GP—VIII—The group SO(2n + 1) and the involution σ (1987) (7)
Standard monomial bases and geometric consequences for certain rings of invariants (2005) (7)
Degeneracy Schemes and Schubert Varieties (1997) (6)
On the normality of the rings of Schubert varieties (1982) (6)
A Tribute to C. S. Seshadri (2003) (6)
Conormal Varieties on the Cominuscule Grassmannian (2017) (5)
A Criterion for Smoothness of Schubert Varieties inSp(2n)/B☆ (1997) (5)
On Tangent Spaces to Schubert Varieties, II (2000) (5)
The Cotangent Bundle of a Cominuscule Grassmannian (2015) (4)
A classification of spherical Schubert varieties in the Grassmannian (2018) (4)
Wahl’s conjecture for a minuscule G/P (2008) (4)
Regular ArticleOn Tangent Spaces to Schubert Varieties, II☆ (2000) (4)
Free resolutions of some Schubert singularities (2015) (4)
COTANGENT BUNDLE TO THE FLAG VARIETY–I (2016) (3)
Singularities of Affine Schubert Varieties (2008) (3)
Standard monomial bases, Moduli spaces of vector bundles, and Invariant theory (2006) (3)
A tribute to C.S. Seshadri : a collection of articles on geometry and representation theory (2003) (2)
On Equivariant Schubert Calculus (2005) (2)
Arithmetically Gorenstein Schubert Varieties in A Minuscule G / P (2012) (2)
Toroidal Schubert Varieties (2018) (2)
Levi Subgroup Actions on Schubert Varieties, Induced Decompositions of their Coordinate Rings, Sphericity and Singularity Consequences (2016) (1)
The Flag Variety: Geometric and Representation Theoretic Aspects (2015) (1)
Schubert varieties and standard monomial theory (1990) (1)
J un 2 00 5 STANDARD MONOMIAL BASES & GEOMETRIC CONSEQUENCES FOR CERTAIN RINGS OF INVARIANTS (2005) (1)
The Grassmannian and Its Schubert Varieties (2015) (0)
Representation Theory of the Symmetric Group (2009) (0)
Structure Theory of Semisimple Rings (2009) (0)
Representation Theory of Complex Semisimple Lie Algebras (2009) (0)
Vector bundles and invariant theory (2012) (0)
Structure Theory of Reductive Groups (2009) (0)
Schubert geometry and representation theory (2012) (0)
Connecting Invariant Theory and NP-Completeness Lectures 1-5 (2005) (0)
Generalities on Algebraic Groups (2009) (0)
Standard monomial bases, moduli of vector bundles, and invariant theory (2006) (0)
Levi Subgroup Actions on Schubert Varieties, and Some Geometric Consequences (2018) (0)
Nil-Hecke Ring and the Singular Locus of X(w) (2000) (0)
Cotangent Bundle to the Flag Variety - II (2016) (0)
Generalities on G / B and G / Q (2000) (0)
Related Topics (0)
Singular Locus of a Schubert Variety in the Flag Variety SL n / B (2009) (0)
J an 2 00 2 Richardson Varieties and Equivariant K-Theory (2008) (0)
Representation Theory of Finite Groups (2009) (0)
Patterns, Smoothness and Rational Smoothness (2000) (0)
The Tangent Space and Smoothness (2000) (0)
Standard Bases for Affine SL ( n )-Modules V (2004) (0)
Structure Theory of Complex Semisimple Lie Algebras (2009) (0)
Levi Subgroup Actions on Schubert Varieties, Induced Decompositions of their Coordinate Rings, and Sphericity Consequences (2017) (0)
SCHUBERT VARIETIES , TORIC VARIETIES , AND LADDERDETERMINANTAL (1997) (0)
Relationship to Classical Invariant Theory (2015) (0)
Degeneracy Schemes and Schubert Varieties Contents. 1. Zelevinsky's Bijection 1.1 Quiver Varieties 1.2 Schubert Varieties 1.3 the Bijection 1.4 the Actions of B, Q, and G N 2. Plucker (1997) (0)
Schur-Weyl Duality and the Relationship Between Representations of S d and GL n (ℂ) (2009) (0)
COTANGENT BUNDLE TO THE FLAG VARIETY–I (2017) (0)
COTANGENT BUNDLES OF PARTIAL FLAG VARIETIES AND CONORMAL VARIETIES OF THEIR SCHUBERT DIVISORS (2019) (0)
Further Geometric Properties of Schubert Varieties (2015) (0)
Related Combinatorial Results (2000) (0)
Minuscule and cominuscule G/P (2000) (0)
Representation Theory of Semisimple Algebraic Groups (2009) (0)
Degeneracy Schemes and Schubert Varieties Plucker Coordinates and Determinantal Ideals 2.1 Coordinates on the opposite Big Cell 2.2 the Main Theorem 2.3 Proof of the Main Theorem: Determinant Identities (1997) (0)
Free Resolutions of Some Schubert Singularities in the Lagrangian Grassmannian (2015) (0)
COTANGENT BUNDLES OF PARTIAL FLAG VARIETIES AND CONORMAL VARIETIES OF THEIR SCHUBERT DIVISORS (2017) (0)
Geometry of the Grassmannian, Flag and their Schubert Varieties via Standard Monomial Theory (2009) (0)
Rational Smoothness and Kazhdan—Lusztig Theory (2000) (0)
Root System Description of T(w, τ) (2000) (0)
Frobenius splitting of certain rings of invariants (2008) (0)
Rank Two Results (2000) (0)
COTANGENT BUNDLE TO THE GRASSMANN VARIETY (2015) (0)

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What Schools Are Affiliated With V. Lakshmibai?

V. Lakshmibai is affiliated with the following schools: