Boris Shapiro

Q: What Schools Are Affiliated With Boris Shapiro

Boris Shapiro is affiliated with the following schools: Stockholm University, Russian University of Transport, KTH Royal Institute of Technology, Moscow State University

Boris Shapiro's AcademicInfluence.com Rankings

Boris Shapiro

Mathematics

#7075

World Rank

#9692

Historical Rank

Complex Analysis

#34

World Rank

#50

Historical Rank

Group Theory

#343

World Rank

#397

Historical Rank

Number Theory

#408

World Rank

#507

Historical Rank

mathematics Degrees

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Mathematics

Boris Shapiro's Degrees

Doctorate Mathematics KTH Royal Institute of Technology

Why Is Boris Shapiro Influential?

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According to Wikipedia, Boris Shapiro is a Russian-Swedish mathematician, whose research concerns differential equations, commutative algebra and Schubert calculus. The Shapiro–Shapiro conjecture was named after Michael Shapiro and him .

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Boris Shapiro'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

Trees, parking functions, syzygies, and deformations of monomial ideals (2003) (182)
HARDY-PETROVITCH-HUTCHINSON'S PROBLEM AND PARTIAL THETA FUNCTION (2011) (63)
Mystery of point charges (2004) (53)
Algebro‐geometric aspects of Heine–Stieltjes theory (2008) (44)
Ramified coverings of S^2 with one degenerate branching point and enumeration of edge-ordered graphs (1997) (44)
High Energy Eigenfunctions of One-Dimensional Schrödinger Operators with Polynomial Potentials (2007) (38)
On the Waring problem for polynomial rings (2011) (37)
Connected Components in the Intersection of Two Open Opposite Schubert Cells in SLn(ℝ)/B (1997) (37)
Algebras of Curvature Forms on Homogeneous Manifolds (1999) (36)
Could René Descartes Have Known This? (2015) (35)
ON THE NUMBER OF CONNECTED COMPONENTS IN THE SPACE OF CLOSED NONDEGENERATE CURVES ON S n (1991) (35)
Nondegenerate curves onS2 and orbit classification of the Zamolodchikov algebra (1992) (33)
ZEROS OF EIGENFUNCTIONS OF SOME ANHARMONIC OSCILLATORS (2006) (33)
On Spectral Polynomials of the Heun Equation. II (2009) (29)
Skew-symmetric Vanishing Lattices and Intersections of Schubert Cells (1998) (26)
Root Asymptotics of Spectral Polynomials for the Lamé Operator (2007) (26)
The mixed Hodge structure of the complement to an arbitrary arrangement of affine complex hyperplanes is pure (1993) (26)
Homotopy classification of nondegenerate quasiperiodic curves on the 2-sphere (1999) (24)
On arrangements of roots for a real hyperbolic polynomial and its derivatives (2002) (24)
Simply laced coxeter groups and groups generated by symplectic transvections (1999) (23)
On Spectral Polynomials of the Heun Equation. II (2008) (23)
TOPOLOGICAL CLASSIFICATION OF GENERIC REAL RATIONAL FUNCTIONS (2001) (23)
ON RATIONAL APPROXIMATION OF ALGEBRAIC FUNCTIONS (2004) (22)
Spaces of locally convex curves in S^n and combinatorics of the group B_{n+1} (2007) (21)
On Polynomial Eigenfunctions of a Hypergeometric-Type Operator (2001) (20)
On mother body measures with algebraic Cauchy transform (2014) (20)
On higher heine-stieltjes polynomials (2009) (20)
Swallowtails and Whitney umbrellas are homeomorphic (1992) (19)
Classification of hyperbolicity and stability preservers: the multivariate Weyl algebra case (2006) (18)
Polynomial Solutions of the Heun Equation (2011) (18)
Homogenized Spectral Problems for Exactly Solvable Operators: Asymptotics of Polynomial Eigenfunctions (2007) (18)
Hyperbolic polynomials and spectral order (2003) (17)
On the complements of affine subspace arrangements (1994) (17)
Using Homological Duality in Consecutive Pattern Avoidance (2010) (17)
CHARACTERISTIC CLASSES FOR THE DEGENERATIONS OF TWO-PLANE FIELDS IN FOUR DIMENSIONS (1997) (17)
Narayana numbers and Schur-Szego composition (2008) (16)
On the boundary of totally positive upper triangular matrices (1995) (16)
SPACES OF LINEAR DIFFERENTIAL EQUATIONS, AND FLAG MANIFOLDS (1991) (16)
A tropical analog of Descartes' rule of signs (2015) (15)
Kazhdan-Lusztig polynomials for certain varieties of incomplete flags (1998) (15)
On ring generated by Chern 2-forms on SL_n/B (1998) (14)
On the Schur-Szego composition of polynomials (2006) (13)
On Vandermonde Varieties (2016) (13)
Combinatorics & Topology of Stratifications of The Space of Monic Polynomials With Real Coefficients (1996) (13)
On generic and maximal k-ranks of binary forms (2017) (12)
On eigenvalues of rectangular matrices (2007) (12)
Parametric Poincaré-Perron theorem with applications (2009) (12)
On Evgrafov–Fedoryuk’s theory and quadratic differentials (2010) (12)
On moments of a polytope (2012) (12)
New Multiplier Sequences via Discriminant Amoebae (2010) (12)
On two conjectures concerning convex curves (2002) (11)
Moment varieties of measures on polytopes (2018) (11)
Classifying real polynomial pencils (2004) (11)
Euler characteristics for links of Schubert cells in the space of complete flags (1990) (10)
PROJECTIVE CONVEXITY IN ℙ3 IMPLIES GRASSMANN CONVEXITY (2000) (9)
On Bochner-Krall orthogonal polynomial systems (2002) (9)
AROUND MATRIX-TREE THEOREM (2005) (9)
Counting real rational functions with all real critical values (2002) (9)
On total reality of meromorphic functions (2006) (8)
On Combinatorics and Topology of Pairwise Intersections of Schubert Cells in SLn/B (1997) (8)
Multiplier sequences and logarithmic mesh (2010) (8)
First steps towards total reality of meromorphic functions (2006) (8)
Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum (2017) (8)
Around a multivariate Schmidt–Spitzer theorem (2013) (7)
Algebraic Stories from One and from the Other Pockets (2018) (7)
How to run a centipede: a topological perspective (2014) (7)
"K-theoretic" analog of Postnikov-Shapiro algebra distinguishes graphs (2016) (7)
Topology of intersections of Schubert cells and Hecke algebra (1996) (7)
Discriminants, Symmetrized Graph Monomials, and Sums Of Squares (2011) (7)
Periodic de Bruijn triangles: exact and asymptotic results (2003) (7)
On polygonal measures with vanishing harmonic moments (2012) (7)
MAXIMAL UNIVALENT DISKS OF REAL RATIONAL FUNCTIONS AND HERMITE-BIEHLER POLYNOMIALS (2010) (7)
Discriminants of convex curves are homeomorphic (1996) (7)
On Young Hulls of Convex Curve in R (1996) (6)
LINEAR ORDINARY DIFFERENTIAL EQUATIONS AND SCHUBERT CALCULUS (2011) (6)
A Few Riddles Behind Rolle's Theorem (2003) (6)
On Young hulls of convex curves in ℝ2n (1996) (6)
Grassmann Convexity and Multiplicative Sturm Theory, Revisited (2019) (6)
On linear operators preserving the set of positive polynomials (2008) (6)
Corrigendum: “Could René Descrates have known this?” (2019) (6)
Root-counting Measures of Jacobi Polynomials and Topological Types and Critical Geodesics of Related Quadratic Differentials (2015) (6)
Electrostatic Problems with a Rational Constraint and Degenerate Lamé Equations (2018) (5)
On associated discriminants for polynomials in one variable (1998) (5)
Two conjectures on convex curves (2002) (4)
On ring generated by Chern 2-forms on %plane1D;54A;%plane1D;543;n/B (1998) (4)
Problems Around Polynomials: The Good, The Bad and The Ugly... (2015) (4)
The M-property of flag varieties (1992) (4)
Asymptotics of spectral polynomials (2007) (4)
Rodrigues' descendants of a polynomial and Boutroux curves (2021) (4)
Vandermonde varieties and relations among Schur polynomials (2013) (3)
Asymptotics and Monodromy of the Algebraic Spectrum of Quasi-Exactly Solvable Sextic Oscillator (2016) (3)
Adjoints and Canonical Forms of Polypols (2021) (3)
On the number of intersection points of the contour of an amoeba with a line (2019) (3)
Corrigendum: "Homogenized Spectral Problems for Exactly Solvable Operators: Asymptotics of Polynomial Eigenfunctions" (2007) (3)
On spectral asymptotic of quasi-exactly solvable quartic potential (2021) (3)
Finiteness of rank for Grassmann convexity (2021) (3)
On global non-oscillation of linear ordinary differential equations with polynomial coefficients (2015) (3)
Level crossing in random matrices: I. Random perturbation of a fixed matrix (2016) (3)
On asymptotic Gauss-Lucas theorem (2015) (3)
Something You Always Wanted to Know About Real Polynomials (But Were Afraid to Ask) (2017) (3)
Quadratic differentials and signed measures (2021) (3)
On the number of connected components of the space of trigonometric polynomials of degreen with2n different critical values (1997) (3)
Real polynomials with constrained real divisors. I. Fundamental groups (2019) (2)
Generalizing Tran's Conjecture (2020) (2)
Normal forms of the whitney umbrella with respect to the contact group preserving a cone (1997) (2)
POLYNOMIALS, SIGN PATTERNS AND DESCARTES’ RULE (2019) (2)
On the number of connected components in the space of M-polynomials in hyperbolic functions (2003) (2)
Root Asymptotics for the Eigenfunctions of Univariate Differential Operators (2010) (2)
SWALLOWTAILS AND WHITNEY UMBRELLAS ARE (1992) (2)
On algebra generated by Chern-Bott forms on SL_n/B (1997) (2)
AN INVERSE PROBLEM IN PÓLYA–SCHUR THEORY. I. NON-DEGENERATE AND DEGENERATE OPERATORS (2019) (2)
On singularities of smooth maps to a space with a fixed cone (1995) (2)
In search of higher Bochner theorem (2018) (2)
PRESERVING POSITIVE POLYNOMIALS AND BEYOND (2008) (2)
Level functions of quadratic differentials, signed measures, and the Strebel property (2016) (2)
Normal forms of the Whitney umbrella with respect to a cone-preserving contact group (1997) (2)
AN INVERSE PROBLEM IN PÓLYA–SCHUR THEORY. II. EXACTLY SOLVABLE OPERATORS AND COMPLEX DYNAMICS (2019) (2)
Classification of spaces of locally convex curves in S^n and combinatorics of the Weyl group D_{n+1} (2007) (1)
On moments of a polytope (2018) (1)
REAL POLYNOMIALS WITH CONSTRAINED REAL DIVISORS, II. (CO)HOMOLOGY AND STABILIZATION (2019) (1)
On existence of quasi-Strebel structures for meromorphic $k$-differentials (2020) (1)
Topological classification of generic real meromorphic functions (2016) (1)
TOPOLOGICAL CLASSIFICATION OF GENERIC REAL MEROMORPHIC FUNCTIONS FROM COMPACT SURFACES (2018) (1)
ASYMPTOTICS OF RODRIGUES’ DESCENDANTS OF A POLYNOMIAL (2018) (1)
Tree-like curves and their number of inflection points. Differential and symplectic topology of knots and curves (1999) (1)
LINEAR RECURRENCES AND VANDERMONDE VARIETIES. I. (2010) (1)
The homotopy type of spaces of locally convex curves in spheres (2018) (1)
Deformed graphical zonotopal algebras (2022) (1)
Green function correlations across physics subfields (2011) (1)
A GIAMBELLI-TYPE FORMULA FOR SUBBUNDLES OF THE TANGENT BUNDLE (1996) (1)
Corrigendum to “On two conjectures concerning convex curves”, by V. Sedykh and B. Shapiro (2022) (1)
Secant Degeneracy Index of the Standard Strata in The Space of Binary Forms (2016) (1)
Problems Around Polynomials: The Good, The Bad and The Ugly... (2015) (1)
New Aspects of Descartes’ Rule of Signs (2018) (0)
Quadratic differentials and signed measures (2021) (0)
CLASSIFICATION OF SYMPLECTIC LEAVES IN KAC-MOODY ALGEBRAS ĜL3 AND ŜOn (2006) (0)
HOW TO RUN A ROACH (2009) (0)
Algebraic Stories from One and from the Other Pockets (2018) (0)
Disconjugate linear ordinary differential equations, flag varieties and classification of symplectic leaves in several Kac-Moody and Gelfand-Dikii algebras (1990) (0)
On formulae for calculating Hurwitz numbers- preprint (2015) (0)
Some remarks on the super Fermat problem for binary forms (2016) (0)
Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum (2017) (0)
∂̄-FREE MAPS SATISFY THE HOMOTOPY PRINCIPLE (2005) (0)
ON A NEW TYPE OF MULTIPLIER SEQUENCES AND DISCRIMINANT AMOEBAE (2009) (0)
Introducing isodynamic points for binary forms and their ratios (2022) (0)
On Hurwitz--Severi numbers (2016) (0)
Secant Degeneracy Index of the Standard Strata in The Space of Binary Forms (2017) (0)
On polygonal measures with vanishing harmonic moments (2014) (0)
Algebraic Relations between Harmonic and Anti-harmonic Moments of Plane Polygons (2020) (0)
HYPERGEOMETRIC-TYPE INTEGRALS AND FUCHSIAN DIFFERENTIAL OPERATORS (2007) (0)
Planarity stratification of Hurwitz spaces (2014) (0)
A Note on Planarity Stratification of Hurwitz Spaces (2014) (0)
CLASSIFICATION OF SYMPLECTIC LEAVES IN KAC-MOODY (1991) (0)
DISCRIMINANTS OF CONVEX CURVES ARE HOMEOMORPHICB (2007) (0)
On plane Hurwitz numbers of Severi varieties (2016) (0)
On algebras and matroids associated to undirected graphs (2020) (0)
On Limit Sets for Geodesics of Meromorphic Connections (2020) (0)
ON ASYMPTOTIC RATIO OF A SEQUENCE OF FUNCTIONS OBEYING A FINITE RECURRENCE RELATION (2009) (0)
AROUND MULTIVARIATE (0)
Johnson's conjectures on characteristic polynomials of matrix pairs and generalizations (2006) (0)
TREES, PARKING FUNCTIONS, AND DEFORMATIONS OF MONOMIAL IDEALS (2018) (0)
Report on the MSRI semester on Topological Aspects of Real Algebraic Goemetry , Spring 2004 (0)
Hyperbolic Polynomials and Spectral Order Introduction and Main Results (0)
Linear differential equations and real flag manifolds (1989) (0)
A Note on Planarity Stratification of (2015) (0)
INERTIA MINIMIZERS IN THE INVERSE MOMENT PROBLEM IN LOGARITHMIC POTENTIAL THEORY (2018) (0)
On Evgrafov–Fedoryuk’s theory and quadratic differentials (2015) (0)
INTRODUCING HURWITZ NUMBERS FOR SEVERI-TYPE VARIETIES (2014) (0)
Level crossing in random matrices. II. Random perturbation of a random matrix (2018) (0)
A Comparative Analysis Of MEMS Parallel Plate Actuators (2013) (0)
Linear first order differential operators and their Hutchinson-invariant sets (2022) (0)
d-free maps satisfy the homotopy principle (1998) (0)
COUNTING REAL ZEROS OF EXPONENTIAL SUMS (2017) (0)
1 ON ARRANGEMENTS OF ROOTS FOR A REAL HYPERBOLIC POLYNOMIAL AND ITS DERIVATIVES (2006) (0)
Analysis On the Schur-Szegö composition of polynomials (2006) (0)
Correction: Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum (2023) (0)
Tree-like curves and their inflection points (1997) (0)
Electrostatic Problems with a Rational Constraint and Degenerate Lamé Equations (2018) (0)
On the Schur-Szeg¨o composition of polynomials (2006) (0)
Spaces of polynomials with constrained real divisors, II. (Co)homology&stabilization (2021) (0)
Root Asymptotics of Spectral Polynomials (2007) (0)
A NOTE ON PLANARITY STRATIFICATION OF HURWITZ (2015) (0)
A ug 1 99 6 DISCRIMINANTS OF CONVEX CURVES ARE HOMEOMORPHIC (1998) (0)
Connected components in the intersection of two open opposite Schubert cells in real complete flag manifold (1997) (0)
Algebraic relations between moments of plane polygons. (2019) (0)
Section 2: The Project proposal Aspects of the asymptotic theory of linear ordinary differential equations (2012) (0)
Return of the plane evolute (2021) (0)

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What Schools Are Affiliated With Boris Shapiro?

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Boris Shapiro's Academic­Influence.com Rankings

Boris Shapiro's Degrees

Why Is Boris Shapiro Influential?

Boris Shapiro's Published Works

Published Works

Other Resources About Boris Shapiro

What Schools Are Affiliated With Boris Shapiro?

Boris Shapiro's AcademicInfluence.com Rankings