Faculty

Institution

Unit

Venue

Michael Greenblatt

Professor

University of Illinois Chicago

Affiliations

College of Liberal Arts and Sciences

Mathematics, Statistics, and Computer Science

Michael Greenblatt is currently serving as a College Of Liberal Arts And Sciences Professor at University of Illinois Chicago.

Honors

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Experiences

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Education

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Michael Greenblatt

University of Illinois Chicago

Professor

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applied mathematics mathematics spectral theory algebraic geometry mathematical analysis functional analysis number theory pure mathematics geometric analysis fourier analysis asymptotic analysis geometric topology analytic number theory oscillation theory fourier transforms geometry and topology mathematical sciences modern algebra geometry of numbers radon transforms polyhedron numerical mathematics theoretical analysis definite integral variational analysis complex function theory integral transforms singular radon transforms nonlinear analysis mathematical optimization integral geometry applied algebra lower bounds function theory fourier expansion asymptotic expansions maximal averages surface measures negative powers applied physics function spaces theoretical physics boundary value problems interface science combinatorial theory numerical algorithms convex analysis numerical simulations complex geometry integrable systems mathematical statistical physic numerical stability geometric singular perturbation theory foundation of mathematics discrete differential geometry surface analysis geometric partial differential equation residual stress curve fitting finite fields numerical method for partial differential equation resolvent kernel potential theory kernel methods modulus problem sublevel set growth oscillatory integral decay asymptotic behavior degenerate oscillatory integrals direct resolution local integrability smooth functions related phenomena uniform bounds harmonic analysis operator theory harmonic space

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Method for Bounding Oscillatory Integrals in Terms of Non-Oscillatory Integrals. Journal of Geometric Analysis (2025)

harmonic analysisoscillation theorynon-oscillatory integralsnumerical analysisfourier analysisdefinite integralcomplex analysisresolvent kernelbounding oscillatory integralsasymptotic analysisapplied mathematicsspectral theoryapproximation theory

Convexity, Fourier Transforms, and Lattice Point Discrepancy. Journal of Functional Analysis (2025)

harmonic analysiscomputational mathematicsnumerical algorithmsfourier analysisconvex analysislattice point discrepancyapplied mathematicsapproximation theorymathematicsconvex hulls

Oscillatory Integrals and Weighted Gradient Flows. Revista Matemática Iberoamericana (2024)

Michael Greenblatt

calculus of variationsoscillation theorystochastic calculusoscillatory integralsnumerical analysisvariational analysisgradient flowstheoretical modelingnumerical simulationsapplied mathematics

Fourier Transforms of Indicator Functions, Lattice Point Discrepancy, and the Stability of Integrals. Mathematische Annalen (2021)

Michael Greenblatt

indicator functionsfourier transformsmathematicslattice point discrepancy

Hessian Determinants and Averaging Operators Over Surfaces in ${\Mathbb R}^3$.. arXiv (Cornell University) (2021)

Michael Greenblatt

hessian determinantsapplied mathematics

Hyperplane Integrability Conditions and Smoothing for Radon Transforms. Journal of Geometric Analysis (2020)

Michael Greenblatt

geometric analysishyperplane integrability conditionsradon transforms

Smooth and Singular Maximal Averages Over 2D Hypersurfaces and Associated Radon Transforms. Advances in Mathematics (2020)

Michael Greenblatt

singular maximal averagesapplied mathematicsmathematicspure mathematicsradon transforms

Smoothing Theorems for Radon Transforms Over Hypersurfaces and Related Operators. Forum Mathematicum (2020)

Michael Greenblatt

mathematical analysismathematical sciencesfinite fieldsrelated operatorscombinatorial theoryapplied mathematicsalgebraic geometrymathematicsgeometric topologyradon transforms

$$L^P$$ L P Sobolev Regularity for a Class of Radon and Radon-Like Transforms of Various Codimension. Journal of Fourier Analysis and Applications (2018)

Michael Greenblatt

harmonic analysisradon-like transformscomplex analysisspectral theoryapplied mathematicsfourier analysisvarious codimension

Fourier Transforms of Irregular Mixed Homogeneous Hypersurface Measures. Mathematische Nachrichten (2018)

Michael Greenblatt

applied algebrageometric analysisdifferential geometrynumerical mathematicsvariational analysisfourier transformsgeometric measure theoryfourier expansiondiscrete differential geometrygeometry and topologynonlinear analysisspectral theoryapplied mathematicsalgebraic geometryfourier analysismathematicsgeometric topology

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Michael Greenblatt

Professor

University of Illinois Chicago

Affiliations

College of Liberal Arts and Sciences

Mathematics, Statistics, and Computer Science

Michael Greenblatt is currently serving as a College Of Liberal Arts And Sciences Professor at University of Illinois Chicago.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Michael Greenblatt

University of Illinois Chicago

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Method for Bounding Oscillatory Integrals in Terms of Non-Oscillatory Integrals. Journal of Geometric Analysis (2025)

Convexity, Fourier Transforms, and Lattice Point Discrepancy. Journal of Functional Analysis (2025)

harmonic analysiscomputational mathematicsnumerical algorithmsfourier analysisconvex analysislattice point discrepancyapplied mathematicsapproximation theorymathematicsconvex hulls

Oscillatory Integrals and Weighted Gradient Flows. Revista Matemática Iberoamericana (2024)

Michael Greenblatt

calculus of variationsoscillation theorystochastic calculusoscillatory integralsnumerical analysisvariational analysisgradient flowstheoretical modelingnumerical simulationsapplied mathematics

Fourier Transforms of Indicator Functions, Lattice Point Discrepancy, and the Stability of Integrals. Mathematische Annalen (2021)

Michael Greenblatt

indicator functionsfourier transformsmathematicslattice point discrepancy

Hessian Determinants and Averaging Operators Over Surfaces in ${\Mathbb R}^3$.. arXiv (Cornell University) (2021)

Michael Greenblatt

hessian determinantsapplied mathematics

Hyperplane Integrability Conditions and Smoothing for Radon Transforms. Journal of Geometric Analysis (2020)

Michael Greenblatt

geometric analysishyperplane integrability conditionsradon transforms

Smooth and Singular Maximal Averages Over 2D Hypersurfaces and Associated Radon Transforms. Advances in Mathematics (2020)

Michael Greenblatt

singular maximal averagesapplied mathematicsmathematicspure mathematicsradon transforms

Smoothing Theorems for Radon Transforms Over Hypersurfaces and Related Operators. Forum Mathematicum (2020)

Michael Greenblatt

mathematical analysismathematical sciencesfinite fieldsrelated operatorscombinatorial theoryapplied mathematicsalgebraic geometrymathematicsgeometric topologyradon transforms

$$L^P$$ L P Sobolev Regularity for a Class of Radon and Radon-Like Transforms of Various Codimension. Journal of Fourier Analysis and Applications (2018)

Michael Greenblatt

harmonic analysisradon-like transformscomplex analysisspectral theoryapplied mathematicsfourier analysisvarious codimension

Fourier Transforms of Irregular Mixed Homogeneous Hypersurface Measures. Mathematische Nachrichten (2018)

Michael Greenblatt

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Similar Faculty Members

Henri Martikainen

Institution

Washington University in St. Louis

measure theory

geometric analysis

James Brennan

Institution

University of Kentucky

partial differential equation

nonlinear analysis

Alexander Solynin

Institution

Texas Tech University

complex analysis

spectral theory

Theodore William Gamelin

Institution

University of California, Los Angeles

complex analysis

functional analysis

Roger W. Barnard

Institution

Texas Tech University

complex analysis

mathematical physics

Arthur A. Danielyan

Institution

University of South Florida

constructive approximation

applied mathematics

Piotr Mikusinski

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applied mathematics

mathematics

Larry Rolen

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Vanderbilt University

harmonic maass forms

spectral theory

Pei-Kee Lin

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University of Memphis

functional analysis

applied mathematics

Boris Shekhtman

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University of South Florida

spectral theory

functional analysis