Shreeram Shankar Abhyankar | Academic Influence

Shreeram Shankar Abhyankar's AcademicInfluence.com Rankings

Shreeram Shankar Abhyankar

Mathematics

#176

World Rank

#411

Historical Rank

#79

USA Rank

Algebraic Geometry

#13

World Rank

#14

Historical Rank

#3

USA Rank

Measure Theory

#604

World Rank

#837

Historical Rank

#247

USA Rank

mathematics Degrees

Download Badge

Mathematics

Shreeram Shankar Abhyankar's Degrees

Masters Mathematics University of Mumbai
Bachelors Mathematics University of Mumbai

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Shreeram Shankar Abhyankar Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Shreeram Shankar Abhyankar was an Indian American mathematician known for his contributions to algebraic geometry. He, at the time of his death, held the Marshall Distinguished Professor of Mathematics Chair at Purdue University, and was also a professor of computer science and industrial engineering. He is known for Abhyankar's conjecture of finite group theory.

(See a Problem?)

Shreeram Shankar Abhyankar'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

Algebraic geometry for scientists and engineers (1990) (302)
On the Valuations Centered in a Local Domain (1956) (287)
Resolution Of Singularities Of Embedded Algebraic Surfaces (1966) (272)
Local Analytic Geometry (1964) (227)
Embeddings of the line in the plane. (1975) (195)
On the uniqueness of the coefficient ring in a polynomial ring (1972) (193)
Local uniformization on algebraic surfaces over ground fields of characteristic p ≠ 0 1 (1956) (184)
Automatic parameterization of rational curves and surfaces IV: algebraic space curves (1988) (148)
Ramification theoretic methods in algebraic geometry (1959) (147)
On the Ramification of algebraic functions (1955) (142)
Local Rings of High Embedding Dimension (1967) (136)
Lectures on expansion techniques in algebraic geometry (1977) (113)
COVERINGS OF ALGEBRAIC CURVES. (1957) (109)
Newton-Puiseux expansion and generalized Tschirnhausen transformation. I. (1973) (104)
Galois theory on the line in nonzero characteristic (1992) (95)
Recent Developments in the Inverse Galois Problem (1995) (89)
Historical Ramblings in Algebraic Geometry and Related Algebra (1976) (81)
Enumerative Combinatorics of Young Tableaux (1988) (80)
Irreducibility criterion for germs of analytic functions of two complex variables (1989) (77)
Automatic parameterization of rational curves and surfaces 1: conics and conicoids (1987) (66)
Good points of a hypersurface (1988) (64)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
Resolution of singularities and modular Galois theory (2000) (53)
Lectures on algebra (2006) (49)
Nice equations for nice groups (1994) (48)
Algebraic Space Curves (1971) (44)
Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 (1959) (42)
SIMULTANEOUS RESOLUTION FOR ALGEBRAIC SURFACES. (1956) (40)
Tame coverings and fundamental groups of algebraic varieties: Part I: Branch loci with normal crossings; applications: theorems of Zariski and Picard (1959) (39)
Computations with Algebraic Curves (1988) (39)
Inversion and Invariance of Characteristic Pairs (1967) (38)
Two notes on formal power series (1956) (38)
What is the difference between a parabola and a hyperbola? (1988) (35)
Concepts of order and rank on a complex space, and a condition for normality (1960) (34)
Resolution of singularities of algebraic surfaces (1990) (32)
Bivariate factorizations connecting Dickson polynomials and Galois theory (2000) (31)
Projective Polynomials (1997) (28)
Automatic Rational Parameterization of Curves and Surfaces II: Cubics and Cubicoids (1986) (28)
Hilbert's Thirteenth Problem (1985) (28)
A reduction theorem for divergent power series. (1970) (27)
Tame coverings and fundamental groups of algebraic varieties. Part II: Branch curves with higher singularities (1960) (26)
Homomorphisms of analytic local rings. (1970) (26)
On Hilbertian ideals (1989) (25)
An algorithm on polynomials in one indeterminate with coefficients in a two dimensional regular local domain (1966) (24)
Nonsplitting of valuations in extensions of two dimensional regular local domains (1967) (24)
Dicritical divisors and Jacobian problem (2010) (24)
Uniqueness of plane embeddings of special curves (1996) (22)
Algebraic theory of dicritical divisors (2011) (22)
Inversion and Invariance of Characteristic Terms: Part I (2010) (20)
Uniformization inp-cyclic extensions of algebraic surfaces over ground fields of characteristicp (1964) (19)
Alternating group coverings of the affine line for characteristic two (1994) (19)
Some remarks on the Jacobian question (1994) (19)
Existence of dicritical divisors (2012) (18)
Uniformization of Jungian local domains (1965) (17)
Uniformization in a p-cyclic extension of a two dimensional regular local domain of residue field characteristic p (1966) (16)
Jacobian of meromorphic curves (1999) (16)
Alternating group coverings of the affine line for characteristic greater than two (1993) (16)
On Macaulay's examples (1973) (16)
Determinantal Loci and Enumerative Combinatorics of Young Tableaux (1988) (15)
Invariant theory and enumerative combinatorics of young tableaux (1992) (15)
More nice equations for nice groups (1996) (15)
More about dicriticals (2011) (15)
Galois embeddings for linear groups (2000) (15)
Pillars and towers of quadratic transformations (2011) (15)
Some thoughts on the Jacobian Conjecture, Part II (2008) (15)
Once more nice equations for nice groups (1998) (14)
Weighted Expansions for Canonical Desingularization (1982) (14)
Again nice equations for nice groups (1996) (14)
Quadratic transforms inside their generic incarnations (2012) (13)
Small degree coverings of the affine line in characteristic two (1994) (13)
Reduction to multiplicity less thanp in ap-cyclic extension of a two dimensional regular local ring (p = characteristic of the residue field) (1964) (13)
Geometric theory of algebraic space curves (1974) (12)
Further Nice Equations for Nice Groups (1996) (12)
Existence of dicritical divisors revisited (2011) (12)
Minimal "Sum of Products of Sums" Expressions of Boolean Functions (1958) (12)
Note on Coefficient Fields (1968) (12)
Galois theory of Moore-Carlitz-Drinfeld modules (1997) (12)
Factorizations over finite fields (1996) (11)
Bijection between indexed monomials and standard bitableaux (1990) (11)
Fractals, form, chance and dimension (1978) (11)
Translates of Polynomials (2015) (11)
SPLITTING OF VALUATIONS IN EXTENSIONS OF LOCAL DOMAINS. (1955) (11)
Mathieu group coverings and linear group coverings (1995) (11)
Galois groups of some vectorial polynomials (2001) (11)
Local fundamental groups of algebraic varieties (1997) (11)
Cubic surfaces with a double line (1960) (11)
Young tableaux and linear independence of standard monomials in multiminors of a multimatrix (1991) (10)
Absolute Minimal Expressions of Boolean Functions (1959) (10)
ON THE FIELD OF DEFINITION OF A NONSINGULAR BIRATIONAL TRANSFORM OF AN ALGEBRAIC SURFACE (1957) (10)
Tame coverings and fundamental groups of algebraic varieties. Part III: Some of other sets of conditions for the fundamental group to be Abelian (1960) (10)
Mathieu group coverings in characteristic two (1993) (10)
Mathieu-group coverings of the affine line (1992) (9)
Square-root Parametrization of Plane Curves (1994) (9)
On the compositum of algebraically closed subfields (1956) (9)
Algebra, Arithmetic and Geometry with Applications: Papers from Shreeram S. Abhyankar’s 70th Birthday Conference (2003) (9)
Lectures on Algebra Volume 1 (2006) (8)
On analytic independence (1976) (8)
Descent principle in modular Galois theory (2001) (8)
Algebraic geometry : papers presented at the Bombay Colloquium, 1968 (1968) (8)
On the Jacobian conjecture: a new approach via Gröbner bases (1989) (8)
Some more Mathieu group coverings in characteristic two (1994) (8)
Tame coverings and fundamental groups of algebraic varieties. Part V: Three cuspidal plane quartics (1960) (8)
Remarks on Equisingularity (1968) (8)
A Criterion of Equisingularity (1968) (7)
Wreath products and enlargements of groups (1993) (7)
Corrections to Local Uniformization on Algebraic Surfaces Over Ground Fields of Characteristic p 0 (1963) (7)
Tame coverings and fundamental groups of algebraic varieties. Part IV: Product theorems (1960) (7)
Symplectic Groups and Permutation Polynomials, Part II (2002) (7)
Generalized rodeletive correspondence between multitableaux and multimonomials (1991) (7)
Galois Groups of Generalized Iterates of Generic Vectorial Polynomials (2001) (7)
Intersection of algebraic space curves (1991) (7)
Improper intersection of algebraic curves (1990) (7)
Linear disjointness of polynomials (1992) (6)
SINGULARITIES OF ALGEBRAIC CURVES. (1970) (6)
Semidirect Products: x ↦ ax + b as a First Example (2002) (6)
Polynomials and Power Series (2004) (6)
On the compositum of two power series rings (1991) (6)
Coinsertion and standard bitableaux (1990) (6)
ON THE RAMIFICATION OF ALGEBRAIC FUNCTIONS PART II: UNAFFECTED EQUATIONS FOR CHARACTERISTIC TWO (1958) (5)
Lectures in algebraic geometry (1974) (5)
Nonprefactorial Local Rings (1967) (5)
SEMILINEAR TRANSFORMATIONS (1999) (5)
Generic incarnations of quadratic transforms (2013) (5)
Generalized roinsertive correspondence between multitableaux and multimonomials (1991) (4)
High-school algebra in algebraic geometry (1975) (4)
Thoughts on Symplectic Groups and Symplectic Equations (2004) (4)
Generalized coinsertion and standard multitableaux (1993) (4)
Spiders and multiplicity sequences (2013) (4)
A REMARK ON THE NONNORMAL LOCUS OF AN ANALYTIC SPACE (1964) (4)
Algebraic theory of curvettes and dicriticals (2013) (4)
A perspective on algebraic geometry (2002) (3)
Ramification in Infinite Integral Extensions (1994) (3)
Analytic theory of curvettes and dicriticals (2014) (3)
Automorphisms of analytic local rings (1969) (3)
Small Mathieu group coverings in characteristic two (1995) (3)
ON THE GENERALIZED DIFFERENCE POLYNOMIALS (2012) (3)
Dicriticals of pencils and Dedekind’s Gauss lemma (2013) (3)
Polynomial Maps and Zariski's main theorem (1994) (3)
Construction techniques for Galois coverings of the affine line (1993) (3)
Two counterexamples in normalization (2007) (3)
Derivativewise unramified infinite integral extensions (1991) (2)
Invariants of analytic local rings (1969) (2)
Singular Locus of an infinite Integral Extension (1991) (2)
Tame Coverings and Fundamental Groups of Algebraic Varieties. Part VI: Plane Curves of Order at Most Four (1960) (2)
Three Ways of Measuring Distance , Three Orbits , Three Subdegrees , or the Great Theorems of Cameron and (2002) (2)
Examples and Counterexamples in Commutative Ring Theory (1995) (2)
Parametrization of curves and surfaces (1990) (2)
SPLITTING OF VALUATIONS IN EXTENSIONS OF LOCAL DOMAIN II. (1955) (2)
On “abstract” homomorphisms of simple algebraic groups (2018) (2)
Design of a wien filter and measurement of longitudinal polarization of beta particles (1971) (2)
Grobner bases and automorphisms of polynomial rings (1990) (1)
Use of Resultants and Approximate Roots for Doing the Jacobian Problem (2009) (1)
Automatic Rational Parameterization of Curves and Surfaces I: Conics and Conicoids (2013) (1)
Degree complexity bounds on the intersection of algebraic curves (1989) (1)
Two Step Descent in Modular Galois Theory, Theorems of Burnside and Cayley, and Hilbert's Thirteenth Problem* (2007) (1)
Similarity method for the Jacobian problem (2007) (1)
Recent developments in the inverse Galois problem : a Joint Summer Research Conference on Recent Developments in the Inverse Galois Problem, July 17-23, 1993, University of Washington, Seattle (1995) (1)
On the Finite Factor Groups of Abelian Groups of Finite Rational Rank (1957) (1)
Equations of similitude (1999) (1)
Hensel’s lemma and Newton’s theorem (1990) (1)
Note on Positive Polynomials (1954) (1)
Resolution of singularities in various characteristics (1992) (1)
On a Question of Mumford (1983) (1)
Advanced Problems: 5677-5682 (1969) (1)
Fractional linear transformations (1990) (0)
More about Newton’s theorem (1990) (0)
CHAPTER III: NOETHERIAN LOCAL RINGS (1959) (0)
ALGEBRAIC CURVE THEORY AND THE ENVELOPE DIAGRAMS. (1970) (0)
Some commutative algebra (1990) (0)
Criterion for one place and Jacobian problem (1990) (0)
Properties of derived prescales (1982) (0)
Simultaneous Surface Resolution in Cyclic Galois Extensions (2007) (0)
FIELD GENERATORS IN TWO VARIABLES AND BIRATIONAL ENDOMORPHISMS OF A PIERRETTE CASSOU-NOGUÈS AND DANIEL DAIGLE (2014) (0)
Analytic theory of curvettes and dicriticals (2014) (0)
CHAPTER II: VALUATION THEORY (1959) (0)
CHAPTER V: VARIETIES AND TRANSFORMATIONS (1959) (0)
TANGENTS AND POLARS (2006) (0)
Affine plane and projective plane (1990) (0)
Indeterminate strings with restrictions (1982) (0)
Initial forms for protochips and monic polynomials (1982) (0)
Inversion formula and Jacobian problem (1990) (0)
Branches and valuations (1990) (0)
Weierstrass preparation theorem (1990) (0)
Semigroup nets with restrictions (1982) (0)
Substitutions with restrictions (1982) (0)
Isobars and initial forms for scales (1982) (0)
Initial forms for regular strings and nets (1982) (0)
Isobars for protochips (1982) (0)
Review of abstract algebra (1990) (0)
Attempts to use the power of modern group theory in finite simple groups for calculating Galois groups (2002) (0)
A G ] 2 2 Ja n 19 99 JACOBIAN OF MEROMORPHIC CURVES (0)
Ordered semigroup nets with restrictions (1982) (0)
Galois theory of special trinomials (2003) (0)
CHAPTER IV: TWO-DIMENSIONAL LOCAL DOMAINS (1959) (0)
Rational cylinders through a variety (1990) (0)
Scales and isobars (1982) (0)
Strings on rings (1982) (0)
TRANSLATES OF A POLYNOMIAL (2002) (0)
Supports of prescales (1982) (0)
Affine geometry or filtered domains (1974) (0)
Initial forms for regular strings (1982) (0)
Graded ring of a ring at an ideal (1982) (0)
Supplementary Thoughts on Symplectic Groups (2005) (0)
Parametrizing a quartic with three double points (1990) (0)
Advanced Problems: 5814-5819 (1971) (0)
Parameters in Power Series Rings (2001) (0)
Birational geometry or genus (1974) (0)
PAUSE AND REFRESH (2006) (0)
Protochips and parachips (1982) (0)
list of Chauvenet Prize winners (2013) (0)
COMPUTATIONS WITH ALGEBRAIC CURVES SOLID MODELING (2012) (0)
Errata: “A remark on the nonnormal locus of an analytic space” (1964) (0)
Wei-Liang Chow (1997) (0)
Uniformization of jungian local domains (1965) (0)
Coordinate nets and Monic polynomials (1982) (0)
Divisors of functions and differentials (1990) (0)
Resolution of singularities of plane curves (1990) (0)
Functions and differentials on a curve (1990) (0)
Errata: On the Ramification of Algebraic Functions (1956) (0)
Inner products and further notions of separatedness and regularity for strings (1982) (0)
Infinitely near singularities (1990) (0)
Projective geometry or homogeneous domains (1974) (0)
Initial forms for scales and regular nets (1982) (0)
N-support of an indexing string for 2≤N≤6 (1982) (0)
Review from Local Algebra (2001) (0)
Graded rings at strings and nets and the notions of separatedness and regularity for strings and nets (1982) (0)
Explicit multivariable meromorphic series (2015) (0)
Indeterminate nets with restrictions (1982) (0)
CHAPTER I: GENERAL RAMIFICATION THEORY (1959) (0)
Local geometry of length (1974) (0)
Language of Sheaves (2001) (0)
Sphere with handles (1990) (0)
Dicriticals of pencils and Dedekind’s Gauss lemma (2012) (0)
MEASUREMENT OF LONGITUDINAL POLARIZATION OF BETA PARTICLES. (1968) (0)
Nets on rings (1982) (0)
Geometry and Galois Theory (2003) (0)
Birational and polyrational transformations (1990) (0)
Isobars for prechips and Premonic polynomials (1982) (0)
VARIETIES AND MODELS (2006) (0)
Restricted degree and order for indeterminate nets (1982) (0)
Ordered semigroup strings with restrictions (1982) (0)
Rees valuations (2015) (0)
Rees valuations (2012) (0)
Weighted isobars and weighted initial forms (1982) (0)
Rational and polynomial parametrizations (1990) (0)
Cubic surfaces and general hypersurfaces (1990) (0)
Restricted degree and order for indeterminate strings (1982) (0)
Advanced Problems: 5689-5694 (1969) (0)
Inner products for protoscales (1982) (0)
Some Cases of Three-Dimensional Birational Resolution (1998) (0)
Valuations and birational correspondence (1990) (0)
Elementary Theory in Cn (2001) (0)
Graded ring of a ring (1982) (0)
Isobars for derived scales (1982) (0)
Geometry and analysis : papers presented at the Bombay Colloquium 1992 (1995) (0)
Outline of the theory of plane curves (1990) (0)
Semigroup strings with restrictions (1982) (0)

This paper list is powered by the following services:

Other Resources About Shreeram Shankar Abhyankar

en.wikipedia.org

What Schools Are Affiliated With Shreeram Shankar Abhyankar?

Shreeram Shankar Abhyankar is affiliated with the following schools:

Image Attributions

Image Source for Shreeram Shankar Abhyankar