Jack Kenneth Hale

Jack Kenneth Hale's AcademicInfluence.com Rankings

Jack Kenneth Hale

Mathematics

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Measure Theory

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#199

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Mathematics

Jack Kenneth Hale's Degrees

PhD Mathematics University of California, Berkeley

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Jack Kenneth Hale'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

Theory of Functional Differential Equations (1977) (5998)
Introduction to Functional Differential Equations (1993) (5325)
Asymptotic Behavior of Dissipative Systems (1988) (2669)
Ordinary Differential Equations. (1971) (2504)
Methods of Bifurcation Theory (1996) (1474)
Dynamics and Bifurcations (1991) (1261)
Infinite dimensional dynamical systems (1983) (966)
Functional Differential Equations (1971) (906)
Ordinary and Delay Differential Equations (1977) (902)
Stability of Motion. (1964) (628)
Persistence in infinite-dimensional systems (1989) (499)
Oscillations in Nonlinear Systems (1963) (383)
Slow-motion manifolds, dormant instability, and singular perturbations (1989) (287)
Dynamical systems and stability (1969) (267)
Stability in Linear Delay Equations. (1985) (247)
Strong stabilization of neutral functional differential equations (2002) (233)
An example of bifurcation to homoclinic orbits (1980) (232)
Global geometry of the stable regions for two delay differential equations (1993) (209)
Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation (1988) (193)
Competition for fluctuating nutrient (1983) (192)
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations (2005) (181)
A damped hyerbolic equation with critical exponent (1992) (180)
Réaction-diffusion equation on thin domains (1992) (175)
Upper semicontinuity of attractors for approximations of semigroups and partial differential equations (1988) (166)
Diffusive coupling, dissipation, and synchronization (1997) (157)
Dynamics in Infinite Dimensions (2002) (154)
An Introduction to Infinite Dimensional Dynamical Systems - Geometric Theory (1983) (145)
Stability of functional differential equations of neutral type (1970) (144)
A class of functional equations of neutral type (1967) (143)
Sufficient conditions for stability and instability of autonomous functional- Differential equations. (1965) (143)
Existence, uniqueness and continuous dependence for hereditary systems (1970) (141)
Convergence in gradient-like systems with applications to PDE (1992) (138)
Lower semicontinuity of attractors of gradient systems and applications (1989) (132)
Averaging in infinite dimensions (1990) (126)
INTEGRAL MANIFOLDS OF PERTURBED DIFFERENTIAL SYSTEMS (1961) (123)
A damped hyperbolic equation on thin domains (1992) (109)
Functional differential equations: Basic theory (1993) (106)
Coincidence degree and periodic solutions of neutral equations (1974) (106)
Applications of generic bifurcation. II (1975) (104)
Averaging methods for differential equations with retarded arguments and a small parameter (1966) (104)
Heteroclinic Orbits for Retarded Functional Differential Equations (1986) (103)
On the zeros of exponential polynomials (1980) (102)
Fixed point theorems and dissipative processes. (1973) (102)
Large Diffusivity and Asymptotic Behavior in Parabolic Systems. (1986) (99)
Exact Homoclinic and Heteroclinic Solutions of the Gray-Scott Model for Autocatalysis (2000) (91)
A nonlinear parabolic equation with varying domain (1984) (90)
Effects of Small Delays on Stability and Control (2001) (88)
Existence and stability of transition layers (1988) (88)
LINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS (1963) (82)
Functional differential equations with infinite delays (1974) (82)
Synchronization in lattices of coupled oscillators (1997) (81)
The damped elastic stretched string equation generalized: existence, uniqueness, regularity and stability (1982) (78)
Alternative problems for nonlinear functional equations (1968) (77)
Structural stability for time-periodic one-dimensional parabolic equations (1992) (70)
Shadow Systems and Attractors in Reaction-Diffusion Equations, (1989) (68)
Periodic solutions of a class of hyperbolic equations containing a small parameter (1967) (65)
Retarded functional differential equations: basic theory (1977) (65)
Theory of a general class of dissipative processes. (1972) (64)
Abelian integrals and bifurcation theory (1985) (62)
Coupled Oscillators on a Circle (1994) (59)
Applications of alternative problems (1971) (57)
Invariant Foliations for C1Semigroups in Banach Spaces (1997) (56)
Symbolic dynamics and nonlinear semiflows (1986) (54)
Interaction of damping and forcing in a second order equation (1978) (53)
Nonlinear Oscillations in Equations with Delays. (1978) (53)
Asymptotic behavior of gradient dissipative systems (1987) (51)
A reaction-diffusion equation on a thin L-shaped domain (1995) (51)
Regularity, determining modes and Galerkin methods (2003) (50)
Stability in neutral equations (1977) (49)
Lower semicontinuity of the attractor for a singularly perturbed hyperbolic equation (1990) (49)
Critical cases for neutral functional differential equations (1971) (49)
On local strong solutions of a nonlinear partial differential equation (1980) (46)
Stable Equilibria in a Scalar Parabolic Equation with Variable Diffusion (1985) (46)
Stability and instability in the Gray-Scott model: The case of equal diffusivities (1999) (45)
Eigenvalue problems for nonsmoothly perturbed domains (1991) (45)
Periodic and almost periodic solutions of functional-differential equations (1964) (45)
Extended dynamical systems and stability theory. (1967) (44)
Onset of chaos in differential delay equations (1988) (44)
Varying Boundary Conditions with Large Diffusivity (1985) (43)
Introduction to Dynamic Bifurcation. (1984) (42)
Period Doubling in Singularly Perturbed Delay Equations (1994) (41)
Asymptotic behavior of neutral functional differential equations (1969) (39)
Partial Differential Equations on Thin Domains (1992) (39)
Nonlinear differential equations (1985) (38)
A STABILITY THEOREM FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS. (1963) (37)
Dynamics of a Scalar Parabolic Equation (1999) (37)
Large diffusion with dispersion (1991) (36)
From sine waves to square waves in delay equations (1992) (36)
Forward and backward continuation for neutral functional differential equations (1970) (36)
Stability and control of feedback systems with time delays (2003) (35)
The neighborhood of a singular point of functional differential equations. (1964) (34)
Differentiability with respect to delays (1991) (33)
Flows on centre manifolds for scalar functional differential equations (1985) (33)
Dynamics of Infinite Dimensional Systems (1987) (33)
Behavior of solutions near integral manifolds (1960) (33)
Eigenvalues and Perturbed Domains (2005) (32)
Large-time behavior in inhomogeneous conservation laws (1993) (32)
Asymptotic Behavior of Gradient-Like Systems. (1981) (31)
Behavior near constant solutions of functional differential equations (1974) (31)
Smoothness of bounded solutions of nonlinear evolution equations (1985) (31)
Bifurcation from simple eigenvalues for several parameter families (1978) (30)
A Class of Linear Functional Equations (1966) (30)
Bifurcations in a parabolic equation with variable diffusion (1985) (30)
On perturbations of delay-differential equations with periodic orbits (2004) (30)
On monodromy matrix computation (2001) (28)
On resonant discrete boundary value problem (1985) (27)
Oscillation and Dynamics in Delay Equations (1992) (27)
Hereditary Differential Systems with Constant Delays (27)
Hopf bifurcation for functional equations (1980) (26)
Differential Equations: Linearity vs. Nonlinearity (1963) (26)
Linear differential difference equations (1977) (25)
Dynamic behavior from bifurcation equations (1980) (25)
Topics in dynamic bifurcation theory (1981) (24)
Stability and Gradient Dynamical Systems (2004) (24)
Periodic solutions of autonomous equations (1978) (24)
Bounded and almost periodic solutions of singularly perturbed equations (1961) (23)
A class of neutral equations with the fixed point property. (1970) (23)
Interaction of diffusion and boundary conditions (1987) (23)
On differential equations containing a small parameter (1960) (23)
Exponential estimates and the saddle point property for neutral functional differential equations (1971) (22)
Dynamics and delays (1991) (20)
On a High Order Differential Delay Equation (1993) (20)
Linear asymptotically autonomous functional differential equations (1966) (20)
Stable equilibria with variable diffusion (1982) (20)
Attractors in inhomogeneous conservation laws and parabolic regularizations (1995) (20)
Stability of Linear Systems with Delays (2010) (19)
Topological Methods in the Theory of Nonlinear Integral Equations. M. A. Krasnosel'skii. Translated from the Russian edition (Moscow, 1956) by A. H. Armstrong. J. Burlak, Ed. Pergamon, London; Macmillan, New York, 1964. xii + 395 pp. Illus. $10 (1964) (19)
Retarded equations with infinite delays (1979) (18)
Variation of constants for hybrid systems of functional differential equations (1995) (18)
Bifurcation near degenerate families (1980) (18)
Square and Pulse Waves with Two Delays (2000) (18)
Some Physical Solutions of Dirac‐Type Equations (1962) (18)
HISTORY OF DELAY EQUATIONS (2006) (18)
A Modified Poincaré Method for the Persistence of Periodic Orbits and Applications (2010) (18)
Studies in Ordinary Differential Equations (1977) (17)
Dynamical systems : an international symposium (1976) (17)
Control of Dynamical Systems. (1978) (17)
Applications of generic bifurcation. I (1975) (17)
Multiple Internal Layer Solutions Generated by Spatially Oscillatory Perturbations (1999) (16)
Conditions for the stability of nonautonomous differential equations (1961) (16)
Global existence for functional integro-differential equations of delay and neutral type (1994) (16)
Examples of transverse homoclinic orbits in delay equations (1986) (16)
Effects of delays on dynamics (1995) (15)
Perturbation of Homoclinics and Subharmonics in Duffing's Equation. (1985) (15)
Periodic solutions of singularly perturbed delay equations (1996) (15)
Geometric Theory of Functional Differential Equations (1967) (14)
Persistence of Periodic Orbits for Perturbed Dissipative Dynamical Systems (2012) (14)
Bifurcation in the Duffing equation with independent parameters. I (1977) (14)
Limits of Semigroups Depending on Parameters (1993) (14)
Continuous dependence of fixed points of condensing maps (1974) (14)
Bifurcation near Families of Solutions. (1977) (13)
Subharmonic and Ultraharmonic Solutions for Weakly Non-Linear Systems (1956) (13)
Analysis of Dynamical Systems (1985) (13)
Dissipation and Attractors (2000) (12)
Periodic the Systems (2001) (12)
Compact attractors for weak dynamical systems (1988) (11)
On a gradient-like integro-differential equation (1982) (11)
Some recent results on dissipative processes (1980) (11)
A new sufficient condition for periodic solutions of weakly nonlinear differential systems (1957) (10)
Solutions near simple periodic orbits of functional differential equations (1970) (10)
Attractors of some reaction diffusion problems (1999) (9)
Dissipation and Compact Attractors (2006) (9)
Traveling waves as limits of solutions on bounded domains (1996) (9)
Attracting Manifolds for Evolutionary Equations (1997) (9)
Differential equations and dynamical systems (2002) (8)
On a class of linear differential equations with periodic coefficients (1957) (8)
Discrete dynamical systems (2010) (8)
Restricted Generic Bifurcation (1978) (8)
On the uniform asymptotic stability of functional differential equations of the neutral type (1971) (7)
Smoothing properties of neutral equations (1972) (7)
Boundary layers in a semilinear parabolic problem (1999) (7)
On uniformity of exponential dichotomies for delay equations (2004) (7)
STABILITY FROM THE BIFURCATION FUNCTION (1980) (7)
On the Asymptotic Behavior of the Solutions of Systems of Differential Equations (1953) (7)
A Periodicity Theorem for Functional Equations (1971) (7)
Stability and bifurcation in a parabolic equation (1981) (7)
Synchronization Through Boundary Interaction (2004) (6)
IV. On the Behavior of the Solutions of Linear Periodic Differential Systems Near Resonance Points (1960) (6)
Stability and Bifurcation (2002) (6)
V. On the Stability of Periodic Solutions of Weakly Nonlinear Periodic and Autonomous Differential Systems (1960) (6)
Attractors and Dynamics in Partial Differential Equations (2001) (5)
Linear systems of first and second order differential equations with periodic coefficients (1958) (5)
A short proof of a boundedness theorem for linear differential systems with periodic coefficients (1958) (5)
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations: Differential Calculus of Boundary Perturbations (2005) (5)
Some results in asymptotic field point theory (2008) (5)
Limiting Behavior of Linearly Damped Hyperbolic Equations (1986) (5)
Theory and Application of Liapunov's Direct Method; Oscillations in Nonlinear Systems; and Nonlinear Problems (1963) (5)
Bifurcation in infinite dimensions (1981) (4)
Oscillations in Neutral Functional Differential Equations (2010) (4)
PURE AND APPLIED MATHEMATICS A Program of Monographs, Textbooks, and Lecture Notes (2006) (4)
Orbit Connections in a Parabolic Equation. (1983) (4)
Differential equations and dynamical systems : proceedings of an International Symposium held at the University of Puerto Rico, Mayaguez, Puerto Rico, December 27-30, 1965 (1967) (4)
Differentiability with respect to delays for a retarded reaction-diffusion equation (1993) (4)
Stability, control and small delays (2001) (4)
Dynamics of numerical approximations (1998) (4)
A Lyapunov-Schmidt method for transition layers in reaction-diffusion systems (2005) (4)
Dynamic behavior from asymptotic expansions (1983) (3)
Stability of Perturbed Systems (1971) (3)
One-to-oneness for linear retarded functional differential equations (1976) (3)
Scalar Autonomous Equations (1991) (3)
Definitions of Stability (1971) (2)
Attractor Sets as C 1 -Manifolds (2002) (2)
Functional Differential Equations of Neutral Type (1976) (2)
The Saddle Point Property (1971) (2)
Effects of time delays on the dynamics of feedback systems (2000) (2)
Sufficient Conditions for the Existence of Periodic Solutions of Systems of Weakly Nonlinear First and Second Order Differential Equations (1958) (2)
General linear systems (1977) (2)
LOCAL BEHAVIOR OF AUTONOMOUS NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS (1972) (2)
Bifurcations of Periodic Equations (1991) (2)
Bifurcation from Families of Periodic Solutions (2020) (1)
Dynamics in Parabolic Equations — An Example (1983) (1)
Remarks on Bifurcation Theory in Differential Equations. (1979) (1)
Generic Properties of an Integro-Differential Equation. (1980) (1)
Bifurcation with One Dimensional Null Space (1982) (1)
Sufficient Conditions for Instability (1971) (1)
Some Infinite-Dimensional Dynamical Systems (1973) (1)
On a nonlinear Communication Scheme (2001) (1)
Higher Order Bifurcation near Equilibrium (1982) (1)
Topics in dynamical systems (1997) (1)
Equations of neutral type (1977) (1)
THE SOLUTION OPERATOR WITH INFINITE DELAYS (1975) (1)
INTEGRAL MANIFOLDS AND NONLINEAR OSCILLATIONS (1962) (1)
Linear Autonomous Equations. The Semigroup and Infinitesimal Generator (1971) (1)
In the Presence of a Zero Eigenvalue (1991) (1)
ASYMPTOTIC BEHAVIOUR OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS (1968) (1)
Linear periodic systems (1977) (1)
Retarded Functional Differential Equations on Manifolds (1984) (1)
Sufficient Conditions for Stability of General Systems (1971) (1)
A General Initial Value Problem (1971) (1)
Discrete dissipative processes (1976) (1)
Applications of the Implicit Function Theorem (1982) (1)
The “Adjoint” Equation and Representation of Solutions (1971) (0)
Linear Periodic Systems. General Theory (1971) (0)
Compact Attractors and Singular Perturbations (1987) (0)
AFOSR * Th . 8 6-0 3 74 UPPER SEMICONTINUITY OF ATTRACTORS FOR APPROXIMATIONS OF SEMIGROUPS AND PARTIAL DIFFERENTIAL EQUATIONS (0)
A Short Biography of Shui-Nee Chow (2004) (0)
OSCILLATIONS IN NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS" 1 " (2008) (0)
Generic Perturbation of the Boundary (2005) (0)
Functional Differential Equations on Manifolds (2002) (0)
Stability Relative to A(F) and Bifurcation (1984) (0)
Autonomous and periodic processes (1977) (0)
Bifurcation and Nonlinear Oscillations. (1980) (0)
Realization of Vector Fields and Normal Forms (2002) (0)
Research on Nonlinear Dynamical Systems. (1974) (0)
Decomposing C with the Adjoint Equation (1971) (0)
The “Adjoint” Equation for General Linear Systems (1971) (0)
Collaboration in basic science and engineering (1994) (0)
list of Chauvenet Prize winners (2013) (0)
The Decomposition in the Variation of Constants Formula (1971) (0)
Bifurcation in the Duffing equation with independent parameters, II (1978) (0)
MPONENTIAL ESTIMATES AND THE SADDLE POINT PROPERTY FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS (2010) (0)
Generic Properties. The Theorem of Kupka-Smale (1984) (0)
EXPONENTIAL ESTIMATES AND 711E SADDLE, POINT PROPERTY FOR NBU`ML FUNCTIONAL DIF'F'ERENTIAL EQUATIONS (2010) (0)
Eigenvalues of the Laplacian in the Presence of Symmetry (2005) (0)
The Effect of Rapid Oscillations in the Dynamics of Delay Equations (2020) (0)
Bifurcation near Equilibrium (1982) (0)
DYNAMICAL SYSTEMS AND STABILITY THEORY (0)
Planar Autonomous Systems (1991) (0)
On Tori and Circles (1991) (0)
Scalar Nonautonomous Equations (1991) (0)
Bifurcation of Periodic Planar Equations (1982) (0)
One-to-Oneness, Persistence, and Hyperbolicity (2002) (0)
The Dimension of the Attractor (2002) (0)
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations: Introduction (2005) (0)
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations: Boundary Operators for Second-Order Elliptic Equations (2005) (0)
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations: On Micheletti's Metric Space (2005) (0)
An Example of Levin and Nohel (1971) (0)
Normal Forms and Invariant Manifolds (1982) (0)
Nonhomogeneous Linear Systems (1971) (0)
Remarks on the Map Defined by Solutions (1971) (0)
Stability and bifurcation from a focus (1981) (0)
Asymptotically smooth semigroups and applications (1987) (0)
Proceedings of the NATO Advanced Study Institute on Dynamics of infinite dimensional systems (1987) (0)
Dynamical Systems, An International Symposium Held at Brown University on 12-16 August 1974. Volume II, (1976) (0)
Structural stability and generic properties in ℝⁿ (1981) (0)
The Transversality Theorem (2005) (0)
Dimension Two and One Half (1991) (0)
Continuous dynamical systems (2010) (0)
The Eigenvalues of a Linear Autonomous Equation. Decomposition of C. (1971) (0)
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations: The Method of Rapidly-Oscillating Solutions (2005) (0)
Perturbation of Spectra of Linear Operators (1982) (0)
Asymptotic Behavior of an Integro-Differential Equation, (1980) (0)
Stability of Morse—Smale Maps and Semiflows (2002) (0)
An Equation of Volterra (1971) (0)
Conservative and Gradient Systems (1991) (0)
A framework for infinite dimensions (1981) (0)
Behavior near equilibrium and periodic orbits for autonomous equations (1977) (0)
On the definition of bifurcation (1981) (0)
Trajectory attractors of non-autonomous evolution equations (1998) (0)
The Kupka—Smale Theorem (2002) (0)
TOPICS IN LOCAL BIFURCATION THEORY (1979) (0)
Lemma 2.5 (a) Positive and Negative Elements of S Are Separated Sketch of Proof of Theorem 1.1. Lemma 2.4 given W 2 S Which Changes Sign, There Exists a Path R 2 (1997) (0)
Two dimensional periodic systems (1981) (0)
The Equation {\rm{\ddot x}}\left( {\rm{t}} \right) + {\rm{f}}\left( {{\rm{x}}\left( {\rm{t}} \right){\rm{\dot x}}\left( {\rm{t}} \right)} \right) + {\rm{g}}\left( {{\rm{x}}\left( {{\rm{t}} - {\rm{r}}} \right)} \right) = 0 (1971) (0)
Examples of Retarded Functional Differential Equations on Manifolds (1984) (0)
Stability and bifurcation at a zero eigenvalue (1981) (0)
The Linear Approximation and Bifurcation (1982) (0)
A Fixed Point Theorem for Cones (1971) (0)
A general class of evolutionary equations (2007) (0)
Dedicated to my Professors : (2015) (0)
Figures of the article Limits of Semigroups Depending on Parameters by J. K. Hale and G. Raugel , vol 1, 1 , 1-45, 1993 (1994) (0)
Stability in Linear Systems of Difference and Differential-Difference Equations (函数微分方程式の解の定性的研究) (1977) (0)
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations: Examples Using the Implicit Function Theorem (2005) (0)
All Planar Things Considered (1991) (0)
Estimates on the Complementary Subspace (1971) (0)
Compactification at Infinity (1984) (0)
Stability in Autonomous Systems (1971) (0)
Oscillation and dynamics in delay equations : proceedings of an AMS special session held January 16-19, 1991 (1992) (0)
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations: References (2005) (0)
Boundary Value Problems (1971) (0)
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations: Geometrical Preliminaries (2005) (0)
In the Presence of Purely Imaginary Eigenvalues (1991) (0)
Notes and Remarks (1971) (0)
Elements of Nonlinear Analysis (1982) (0)
Bifurcation of Autonomous Planar Equations (1982) (0)
Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations: Bifurcation Problems (2005) (0)
Invariant Sets and Attractors (2002) (0)
Decomposition of Linear Periodic Systems (1971) (0)
Introduction and Examples (1982) (0)
The Equation {\rm{\dot x}}\left( {\rm{t}} \right) = - \alpha {\rm{x}}\left( {{\rm{t}} - 1} \right)\left[ {{\rm{l}} - {\rm{x}}^2 \left( {\rm{t}} \right)} \right] (1971) (0)
Analysis, Modeling and Control of Dynamical Systems. (1984) (0)
Linear autonomous equations (1977) (0)
Robustness in Difference Equations (2005) (0)
Near equilibrium and periodic orbits (1993) (0)
AFOSR-. TR-86-0041 LARGE DIFFUSIVITY AND ASYMPTOTIC BEHAVIOR IN PARABOLIC (0)
First order bifurcation in the plane (1981) (0)
Lower bounds for solutions to a class of nonlinear integrodifferential equations in hilbert space (1980) (0)
A GENERAL CLASS OF EVOLUTIONARY EQUATIONS ZAHAL\NYJ (0)
Perturbed linear systems (1977) (0)
Forced Linear Systems (1971) (0)
Behavior near a periodic orbit of functional differential equations (1969) (0)
Bifurcation with Higher Dimensional Null Spaces (1982) (0)
The True Adjoint of a Linear System (1971) (0)
Continuous Dependence and Uniqueness (1971) (0)
Nondegenerate Periodic Orbits (1971) (0)
A Survey of Some Current Research in Functional-differential Equations (1965) (0)
Properties of the solution map (1977) (0)
Invariant Sets, Limit Sets and the Attractor (1984) (0)

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What Schools Are Affiliated With Jack Kenneth Hale?

Jack Kenneth Hale is affiliated with the following schools:

Brown University