M. S. Narasimhan | Academic Influence

M. S. Narasimhan's AcademicInfluence.com Rankings

M. S. Narasimhan

Mathematics

#801

World Rank

#1437

Historical Rank

Differential Geometry

#31

World Rank

#38

Historical Rank

Algebraic Geometry

#52

World Rank

#55

Historical Rank

Measure Theory

#2663

World Rank

#3185

Historical Rank

mathematics Degrees

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Mathematics

M. S. Narasimhan's Degrees

PhD Mathematics University of Mumbai

Why Is M. S. Narasimhan Influential?

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According to Wikipedia, Mudumbai Seshachalu Narasimhan was an Indian mathematician. His focus areas included number theory, algebraic geometry, representation theory, and partial differential equations. He was a pioneer in the study of moduli spaces of holomorphic vector bundles on projective varieties. His work is considered the foundation for Kobayashi–Hitchin correspondence that links differential geometry and algebraic geometry of vector bundles over complex manifolds. He was also known for his collaboration with mathematician C. S. Seshadri, for their proof of the Narasimhan–Seshadri theorem which proved the necessary conditions for stable vector bundles on a Riemann surface.

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M. S. Narasimhan'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

Stable and unitary vector bundles on a compact Riemann surface (1965) (1067)
On the cohomology groups of moduli spaces of vector bundles on curves (1975) (490)
Spectral curves and the generalised theta divisor. (1989) (383)
Moduli of Vector Bundles on a Compact Riemann Surface (1969) (330)
Deformations of the Moduli Space of Vector Bundles Over an Algebraic Curve (1975) (210)
EXISTENCE OF UNIVERSAL CONNECTIONS II. (1961) (201)
Maximal subbundles of rank two vector bundles on curves (1983) (172)
Geometry ofSU(2) gauge fields (1979) (129)
Holomorphic vector bundles on a compact Riemann surface (1964) (104)
The Standard Conjectures on Algebraic Cycles (2009) (102)
Regularity theorems for fractional powers of a linear elliptic operator (1962) (86)
Factorisation of generalised theta functions. I (1993) (83)
Picard group of the moduli spaces of G-bundles (1995) (70)
STABLE BUNDLES AND UNITARY BUNDLES ON A COMPACT RIEMANN SURFACE. (1964) (67)
Hermitian-einstein metrics on parabolic stable bundles (1999) (58)
Working Capital Financing Preferences: The Case of Mauritian Manufacturing Small and Medium Sized Enterprises (SMEs) (2012) (57)
Infinite Grassmannians and moduli spaces ofG-bundles (1994) (53)
An Analogue of the Borel-Weil-Bott Theorem for Hermitian Symmetric Pairs of Non-Compact Type (1970) (48)
Manifolds with ample canonical class (1968) (42)
Fibres de ’t Hooft Speciaux et Applications (1982) (41)
Derived categories of moduli spaces of vector bundles on curves (2017) (30)
Polarisations on an abelian variety (1981) (29)
Compactification of $M_{{\bf P}_3}(0,2)$ and Poncelet pairs of conics. (1990) (28)
Vector Bundles on Curves — New Directions (1997) (28)
Projective bundles on a complex torus. (1983) (21)
A Generalisation of Nagata's Theorem on Ruled Surfaces (2001) (21)
Testing Stock Market Efficiency Using Risk-Return Parity Rule (1988) (19)
The value relevance of consolidated financial statements in an emerging market (2012) (17)
Derived Categories of Moduli Spaces of Vector Bundles on Curves II (2016) (16)
Lectures on Complex Analytic Manifolds (1963) (14)
A Note on Hermitian-Einstein Metrics on Parabolic Stable Bundles (2001) (12)
In nite Grassmannians and moduli spaces of G-bundles (1994) (11)
Lectures on semi-group theory and its application to Cauchy's problem in partial differential equations (1957) (9)
Activity based costing in banking service: a case study of a large Indian private sector bank (2002) (8)
An Evaluation of Value Relevance of Consolidated Earnings and Cash Flow Reporting in India (2010) (7)
Symmetric products and moduli spaces of vector bundles of curves (2021) (7)
FORMALIZED PROOF, COMPUTATION, AND THE CONSTRUCTION PROBLEM IN ALGEBRAIC GEOMETRY (2005) (5)
Survey of vector bundles on curves (1987) (3)
The Impact of Derivative Trading on the Liquidity of Stocks (2014) (3)
Deformations of Complex Structures and Holomorphic Vector Bundles (1982) (3)
The Impact of Derivative Trading on the Liquidity Beta of Underlying Stocks in India (2012) (2)
Variations of complex structures on an open Riemann surface (1961) (2)
Higgs bundles twisted by a vector bundle (2021) (2)
Vector bundles as direct images of line bundles (1994) (2)
THE IDENTITY OF THE WEAK AND STRONG EXTENSIONS OF A LINEAR ELLIPTIC DIFFERENTIAL OPERATOR: II. (1957) (1)
The type and the Green's kernel of an open Riemann surface (1960) (1)
The Picard group of the compactification of M3(0, 2). (1991) (1)
Algebraic topology (1964) (1)
The Impact of Derivative Tradingon the Liquidity of Stocks (2014) (1)
Rank 2 vector bundles onP4 withc1 odd and contact curves (1990) (1)
The Picard group of the compactification of MP 3 3(0, 2) (1991) (1)
Alexander the great (2015) (0)
A Versatile Ace at Bridge Building (2020) (0)
Moduli Problems in Geometry (2001) (0)
THE IDENTITY OF THE WEAK AND STRONG EXTENSIONS OF A LINEAR ELLIPTIC DIFFERENTIAL OPERATOR. (1957) (0)
Framework for the evaluation of equity mutual funds (2003) (0)
Alexander the great (2015) (0)
An Analysis of Consolidated and Parent-Only Financial Statements of Indian Companies (2008) (0)
Masaki Maruyama (1944–2009) and his mathematics (2013) (0)
Dividend taxation, ownership structure and payout policy: evidence from India (2007) (0)
CHAPER 2 REVIEW OF LITERATURE (2007) (0)
Organising Mathematical Research in Developing Countries (1979) (0)
An Analysis of Active Fund Allocation Decision of Mutual Funds in India (2015) (0)
Vector bundles on curves, new directions : lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro (Cosenza), Italy, June 19-27, 1995 (1997) (0)
Riemann Surfaces (2011) (0)
Variance Analysis: Labour Cost Variance (2017) (0)
Break-even Analysis (2017) (0)
Algebraic geometry in India (2009) (0)
A remark on curvature and the Dirichlet problem (1959) (0)
K. Chandrasekharan (1920–2017) (2017) (0)
Comparative Usefulness of Statement of Cash Flows and Funds Statement : Evidence from Indian Mutual Fund Analysts. (2002) (0)
Financial Accounting Regulations (2017) (0)
LIVING LEGENDS IN INDIAN SCIENCE (2014) (0)
Collected papers of V. K. Patodi (1996) (0)
Non-project lending by the World Bank : its evolution from programme to policy based lending (1989) (0)
Capital Structuring Decision In A Competitive Market Environment (2004) (0)

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