Stephan Ramon Garcia | Academic Influence

Stephan Ramon Garcia's AcademicInfluence.com Rankings

Stephan Ramon Garcia

Mathematics

#5911

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#8269

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Measure Theory

#3634

World Rank

#4287

Historical Rank

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Mathematics

Stephan Ramon Garcia's Degrees

PhD Mathematics Stanford University
Masters Mathematics Stanford University
Bachelors Mathematics Stanford University

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Why Is Stephan Ramon Garcia Influential?

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According to Wikipedia, Stephan Ramon Garcia is an American mathematician. He is the W.M. Keck Distinguished Service Professor and Professor of Mathematics at Pomona College, in California, United States. Garcia has been a faculty member at Pomona since 2006. He is the author of more than 100 research papers, many with undergraduate co-authors, and four books. Garcia works in operator theory, complex variables, matrix analysis, number theory, and discrete geometry. He serves on the editorial board of several well-known journals and has received four National Science Foundation grants as principal investigator.

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Stephan Ramon Garcia'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

Complex Symmetric Operators and Applications II (2005) (323)
Some new classes of complex symmetric operators (2009) (166)
Mathematical and physical aspects of complex symmetric operators (2014) (119)
Introduction to Model Spaces and their Operators (2016) (116)
Complex symmetric partial isometries (2009) (109)
Recent Progress on Truncated Toeplitz Operators (2011) (89)
Finite Blaschke Products and Their Connections (2018) (73)
Truncated Toeplitz Operators: Spatial Isomorphism, Unitary Equivalence, and Similarity (2009) (69)
A method for generating realistic correlation matrices (2011) (69)
Aluthge Transforms of Complex Symmetric Operators (2008) (66)
Which Weighted Composition Operators are Complex Symmetric (2011) (66)
Conjugation and Clark Operators (2006) (65)
Ramanujan sums as supercharacters (2012) (44)
Norm estimates of complex symmetric operators applied to quantum systems (2005) (43)
UNITARY EQUIVALENCE OF A MATRIX TO ITS TRANSPOSE (2009) (33)
Supercharacters, exponential sums, and the uncertainty principle (2012) (31)
Unitary equivalence to a complex symmetric matrix: geometric criteria (2009) (30)
On the closure of the complex symmetric operators: Compact operators and weighted shifts (2011) (27)
A Non-Linear Extremal Problem on the Hardy Space (2009) (26)
Interpolation and Complex Symmetry (2008) (25)
Quotient Sets and Diophantine Equations (2011) (25)
C*-algebras Generated by Truncated Toeplitz Operators (2012) (23)
On the matrix equation $XA + AX^T = 0$ (2012) (22)
Means of unitaries, conjugations, and the Friedrichs operator (2007) (21)
The Eigenstructure of Complex Symmetric Operators (2007) (21)
Four Quotient Set Gems (2013) (21)
Quotients of Gaussian Primes (2013) (20)
Unitary equivalence to a complex symmetric matrix: a modulus criterion (2010) (20)
Quotients of Fibonacci Numbers (2016) (20)
The Graphic Nature of Gaussian Periods (2012) (19)
Model Spaces: a Survey (2013) (18)
Conjugation, the Backward Shift, and Toeplitz Kernels (2005) (17)
Approximate antilinear eigenvalue problems and related inequalities (2008) (16)
The Bateman–Horn conjecture: Heuristic, history, and applications (2018) (16)
Unitary equivalence to a truncated Toeplitz operator: analytic symbols (2010) (16)
$p$-adic quotient sets (2016) (15)
On Lattices Generated by Finite Abelian Groups (2014) (14)
Variational principles for symmetric bilinear forms (2008) (14)
Classical Kloosterman sums: representation theory, magic squares, and Ramanujan multigraphs (2010) (13)
ON THE NORM CLOSURE PROBLEM FOR COMPLEX SYMMETRIC OPERATORS (2011) (13)
Real Outer Functions (2003) (13)
Gauss' hidden menagerie: from cyclotomy to supercharacters (2015) (13)
Unitary equivalence to a complex symmetric matrix: Low dimensions (2011) (13)
THE NORM AND MODULUS OF A FOGUEL OPERATOR (2009) (12)
Unconditional explicit Mertens’ theorems for number fields and Dedekind zeta residue bounds (2020) (11)
The Graphic Nature of the Symmetric Group (2013) (11)
Finite Blaschke products: a survey (2015) (10)
Two Remarks about Nilpotent Operators of Order Two (2012) (10)
Factorization length distribution for affine semigroups II: Asymptotic behavior for numerical semigroups with arbitrarily many generators (2019) (10)
Review: Embeddings of Model Subspaces of the Hardy Class: Compactness and Schatten–von Neumann Ideals (2012) (10)
Spatial isomorphisms of algebras of truncated Toeplitz operators (2010) (9)
Toeplitz determinants with perturbations in the corners (2014) (9)
p-adic quotient sets II: Quadratic forms (2018) (8)
Factorization length distribution for affine semigroups I: Numerical semigroups with three generators (2018) (7)
Inner matrices and Darlington synthesis (2005) (7)
On the difference in values of the Euler totient function near prime arguments (2017) (7)
Primitive Root Bias for Twin Primes (2017) (7)
Supercharacters and the discrete Fourier, cosine, and sine transforms (2017) (6)
The Backward Shift on Dirichlet-type Spaces (2005) (6)
A Second Course in Linear Algebra (2017) (6)
On the matrix equation XA+AXT=0, II: Type 0–I interactions (2013) (6)
Visual properties of generalized Kloosterman sums (2015) (6)
The Norm of a Truncated Toeplitz Operator (2009) (6)
UNITARY EQUIVALENCE TO A COMPLEX SYMMETRIC MATRIX (2008) (5)
Weighted means of B-splines, positivity of divided differences, and complete homogeneous symmetric polynomials (2020) (5)
Supercharacters, elliptic curves, and the sixth moment of Kloosterman sums (2018) (5)
Lattices from tight equiangular frames (2016) (5)
A *-closed subalgebra of the Smirnov class (2005) (5)
Primitive root biases for prime pairs I: existence and non-totality of biases (2017) (5)
Spherical 2-Designs and Lattices from Abelian Groups (2015) (5)
Three Questions About Complex Symmetric Operators (2012) (5)
Partial orders on partial isometries (2015) (5)
Wetzel's Problem, Paul Erdös, and the Continuum Hypothesis: A Mathematical Mystery (2014) (4)
A supercharacter approach to Heilbronn sums (2013) (4)
Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function (2019) (4)
On the similarity of AB and BA for normal and other matrices (2016) (4)
One conjecture to rule them all: Bateman-Horn (2018) (4)
Lattices from equiangular tight frames (2016) (3)
Lattices from Hermitian function fields (2015) (3)
On Chebotarëv's nonvanishing minors theorem and the Biró-Meshulam-Tao discrete uncertainty principle (2018) (3)
Real complex functions (2015) (3)
Permutation invariant lattices (2014) (2)
Algebraic properties of Heilbronn's exponential sum: supercharacters, Fermat congruences, and Heath-Brown's bound (2013) (2)
Review: The relationships among multiplicities of a J-self-adjoint differential operator's eigenvalue (2014) (2)
Partially isometric matrices: a brief and selective survey. (2019) (2)
SPATIAL ISOMORPHISM , UNITARY EQUIVALENCE , AND SIMILARITY (2009) (2)
AN EFFECTIVE ANALYTIC FORMULA FOR THE NUMBER OF DISTINCT IRREDUCIBLE FACTORS OF A POLYNOMIAL (2020) (2)
Finite Blaschke Products and Group Theory (2018) (2)
Matrices similar to partial isometries (2017) (2)
FACTORIZATION LENGTH DISTRIBUTION FOR AFFINE SEMIGROUPS III: MODULAR EQUIDISTRIBUTION FOR NUMERICAL SEMIGROUPS WITH ARBITRARILY MANY GENERATORS (2020) (2)
Norms on complex matrices induced by complete homogeneous symmetric polynomials (2021) (2)
An improved uncertainty principle for functions with symmetry (2018) (2)
Composites in the Ulam Spiral (2021) (1)
Determining Unitary Equivalence to a 3 3 Complex Symmetric Matrix from the Upper Triangular Form (2008) (1)
8-1-2014 Four Quotient Set Gems (2017) (1)
Lateral Movement in Undergraduate Research: Case Studies in Number Theory (2020) (1)
Explicit Mertens' Theorems for Number Fields and Dedekind Zeta Residue Bounds with GRH (2020) (1)
An Exhibition of Exponential Sums: Visualizing Supercharacters (2015) (1)
Frobenius-Rieffel norms on finite-dimensional C*-algebras (2021) (1)
An extremal problem for characteristic functions (2013) (1)
Block Matrices in Linear Algebra (2020) (1)
Remembering Donald Sarason (1933–2017) (2018) (1)
Approaching Cauchy’s Theorem (2017) (1)
The Singular Value and Polar Decompositions (2017) (1)
Primitive root discrepancy for twin primes (2017) (1)
Linearly Independent Spanning Sets (2017) (1)
Review: On Rank-One Perturbations of Normal Operators (2008) (1)
Explicit estimates for Artin L-functions: Duke's short-sum theorem and Dedekind Zeta Residues (2021) (1)
Lattice Theory and Toeplitz Determinants (2018) (0)
Review: Shift-Type Invariant Subspaces of Contractions (2008) (0)
Review: On pairs of generalized and hypergeneralized projections in a Hilbert space (2015) (0)
Operators between model spaces (2016) (0)
Review: On a Class of Reflexive Toeplitz Operators (2007) (0)
Review: The Spectrum of Some Compressions of Unilateral Shifts (2010) (0)
100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection (2019) (0)
Zeros and Residues (2018) (0)
1-1-2013 A method for generating realistic correlation matrices (2016) (0)
Hermitian-Symmetric Inequalities in Hilbert Space (2009) (0)
Finite Blaschke Products and Operator Theory (2018) (0)
Review: Spectra of Toeplitz Operators and Compositions of Muckenhoupt Weights with Blaschke Products (2009) (0)
Ten Great Ideas about Chance A Review (2019) (0)
1-1-2015 Model spaces : a survey (2017) (0)
Moments of Gaussian Periods (2021) (0)
Liberal arts colleges: an overlooked opportunity? (2016) (0)
Representing Complete Homogeneous Symmetric Polynomials of Fractional Degree as Moments of Probability Densities (2020) (0)
Ramanujan sums as supercharacters (2013) (0)
The strongly Leibniz property and the Gromov--Hausdorff propinquity (2023) (0)
The Prime Number Theorem as a Capstone in a Complex Analysis Course (2020) (0)
Finite Blaschke Products: The Basics (2018) (0)
The graphic nature of cyclic supercharacters (2012) (0)
Norms on Complex Matrices Induced by Random Vectors (2022) (0)
The Bohr Radius (2018) (0)
The compressed shift (2016) (0)
Geometry of the Schur Class (2018) (0)
The Darlington Synthesis Problem (2018) (0)
Review: Nontangential Limits in Pt(μ)-spaces and the Index of Invariant Subgroups (2010) (0)
The commutant lifting theorem (2016) (0)
Positive Semidefinite Matrices (2017) (0)
Review: Certain Shifts on Banach Spaces of Formal Power Series (2007) (0)
Review: On the Near Periodicity of Eigenvalues of Toeplitz Matrices (2011) (0)
A Word from... Stephan Ramon Garcia (2019) (0)
Review: Cyclicity Results for Some Antianalytic Toeplitz Operators Acting on H^p (2013) (0)
Elementary Hyperbolic Geometry (2018) (0)
Tips for Undergraduate Research Supervisors (2020) (0)
Complex symmetric operators (2011) (0)
Randomly Generating Computationally Stable Correlation Matrices (2010) (0)
The Characteristic Polynomial and Algebraic Multiplicity (2017) (0)
Review: Nevanlinna-Pick spaces with hyponormal multiplication operators (2015) (0)
Review: Truncated Toeplitz operators of finite rank (2014) (0)
100 Years of Math Milestones (2019) (0)
Unitary Triangularization and Block Diagonalization (2017) (0)
A Gallery of Gaussian Periods (2020) (0)
Explicit Mertens' Theorems for Number Fields I: Assuming the Generalized Riemann Hypothesis (2020) (0)
Review: An Intertwining Property for Positive Toeplitz Operators (2007) (0)
Advanced Linear Algebra: A Call for the Early Introduction of Complex Numbers (2017) (0)
Review: Stability of Bases and Frames of Reproducing Kernels in Model Spaces (2006) (0)
Review: Hankel and Toeplitz Transforms on H¹: Continuity, Compactness and Fredholm Properties (2009) (0)
Review: On Some Bergman Shift Operators (2013) (0)
The error term in the truncated Perron formula for the logarithm of an -function (2022) (0)
Three Remarks on Similarity (2016) (0)
Review: The Dirichlet Space: A Survey (2012) (0)
Singular Values and the Spectral Norm (2017) (0)
1-1-2008 Interpolation and Complex Symmetry (2013) (0)
Review: Transitivity and bundle shifts (2016) (0)
Inner Product Spaces (2017) (0)
Review: Unitary equivalence to truncated Toeplitz operators (2013) (0)
Review: A short introduction to de Branges-Rovnyak spaces (2015) (0)
Review: On rank one perturbations of complex symmetric operators (2016) (0)
Finite-Dimensional Model Spaces (2018) (0)
G.H. Hardy: Mathematical Biologist (2015) (0)
Truncated Toeplitz operators (2016) (0)
Upper-Level Mathematics and Statistics Courses Shared across Campuses (2020) (0)
Review: Common Cyclic Vectors for Unitary Operators (2010) (0)
Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples (2020) (0)
Matrices diagonalized by the discrete cosine and discrete sine transforms (2017) (0)
Three Questions About Complex Symmetric Operators (2011) (0)
Review: A C*-algebra approach to complex symmetric operators (2016) (0)
Approximation by Finite Blaschke Products (2018) (0)
Review: On complex symmetric Toeplitz operators (2016) (0)
Powers of Rational Matrices (2021) (0)
1-1-2009 Complex Symmetric Partial Isometries (2013) (0)
Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups (2021) (0)
Bases and Similarity (2017) (0)
Operators on the Hardy space (2016) (0)
Spherical 2-Designs and Lattices from Abelian Groups (2017) (0)
Orthogonal Complements and Orthogonal Projections (2017) (0)
Review: On symplectic self-adjointness of Hamiltonian operator matrices (2015) (0)
Review: Nearly Invariant Subspaces for Backwards Shifts on Vector-Valued Hardy Spaces (2011) (0)
Review: Hypercyclic Pairs of Coanalytic Toeplitz Operators (2008) (0)
WHAT IS...a Complex Symmetric Operator (2017) (0)

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