Faculty

Institution

Unit

Venue

M. Burak Erdoğan

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

M. Burak Erdoğan is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

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Experiences

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Education

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M. Burak Erdoğan

University of Illinois Urbana-Champaign

Professor

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applied mathematics mathematics partial differential equations spectral theory boundary value problems functional analysis nonlinear phenomena differential equations mathematical analysis operator theory nonlinear analysis nonlinear functional analysis harmonic analysis nonlinear science abstract and applied analysis riemann-hilbert problem geometric analysis resolvent kernel potential theory integrable systems nonlinear wave propagation dispersive estimates mathematical sciences nonlinear dynamics physics function spaces dirac operator wave operators periodic travelling wave nonlinear hyperbolic problem global analysis harmonic space linear operators nonlinear equations wave mechanics microlocal analysis decay rate nonlinear dispersive pdes geometric topology fractional calculus mathematical statistics integrable probability elliptic equations half line periodic boundary conditions statistics fractals convex analysis evolution equations discrete geometry oscillation theory asymptotic formula fractal analysis topological soliton optical solitons measure theory fourier analysis regularity properties linear evolution zero energy dispersive pdes physical sciences fractal solutions mixed norm estimates l boundedness threshold obstructions dirac equation numerical mathematics combinatorial theory statistical mechanics statistical physics kam theory extremal set theory finite fields quantum chaos dispersion rational mechanic numerical analysis applied mathematical modelling foundational calculus

Notable Scholarly Works

Notable Federal Grants

Collaborators

Dispersive Estimates for Higher Order SchröDinger Operators With Scaling-Critical Potentials. Mathematische Annalen (2025)

M. Burak ErdoğanMichael GoldbergWilliam R. Green

harmonic analysisriemann-hilbert problemoperator theoryfunctional analysisboundary value problemsmicrolocal analysisnonlinear phenomenanonlinear functional analysispartial differential equationsmathematical physicsasymptotic analysisapplied mathematicsspectral theoryintegrable systemsfractional calculusmathematicsdispersive estimates

Inline-Formula Tex-Math Id="M1" $ L^P $ /Tex-Math /Inline-Formula -Continuity of Wave Operators for Higher Order SchröDinger Operators With Threshold Eigenvalues in High Dimensions. Discrete and Continuous Dynamical Systems (2025)

M. Burak ErdoğanWilliam R. GreenKevin LaMaster

high dimensionsoperator theorymathematical analysisfunctional analysispartial differential equationsthreshold eigenvaluesspectral theoryapplied mathematicswave operatorsmathematics

$L^P$-Continuity of Wave Operators for Higher Order Schr\"Odinger Operators With Threshold Eigenvalues in High Dimensions. arXiv (Cornell University) (2024)

Erdogan, M. BurakGreen, William R.LaMaster, Kevin

operator theorymathematical analysisfunctional analysisharmonic spacethreshold eigenvaluepotential theorymathematical physicsthreshold eigenvaluesspectral theoryapplied mathematicswave operatorsmathematics

Smoothing Estimates for Weakly Nonlinear Internal Waves in a Rotating Ocean. Zurnal matematiceskoj fiziki analiza geometrii (2024)

M. Burak ErdoğanNikolaos Tzirakis

wave groupwave nonlinearityocean sciencesoceanographynonlinear systemsnonlinear phenomenawave motionocean internal wavenonlinear analysisocean physicsapplied mathematicsphysical oceanographyocean modellingrotating ocean

Talbot Effect on the Sphere and Torus for $$D\Ge 2$$. Mathematische Zeitschrift (2024)

M. Burak ErdoğanChi N. Y. HuynhRyan McConnell

physicsgeometric analysismathematical physicstalbot effect

A Note on Endpoint L-Continuity of Wave Operators for Classical and Higher Order SchröDinger Operators. Journal of Differential Equations (2023)

M. Burak ErdoğanWilliam R. Green

riemann-hilbert problemoperator theorylinear operatorsfunctional analysisquantum mechanicsnonlinear functional analysisfunction spacesendpoint l-continuityresolvent kernelspectral theoryapplied mathematicswave operatorsmathematics

Counterexamples to L Boundedness of Wave Operators for Classical and Higher Order SchröDinger Operators. Journal of Functional Analysis (2023)

M. Burak ErdoğanMichael GoldbergWilliam R. Green

abstract and applied analysisoperator theorylinear operatorsfunctional analysisoperator algebrasspectral theorywave operatorsl boundedness

Dispersive Estimates for Higher Order SchröDinger Operators With Scaling-Critical Potentials. arXiv (Cornell University) (2023)

Erdogan, M. BurakGoldberg, MichaelGreen, William R.

harmonic analysisabstract and applied analysisoperator theorymathematical analysisfunctional analysisnonlinear functional analysisscaling-critical potentialsresolvent kernelasymptotic analysisapplied mathematicsspectral theorycritical scalingmathematicsdispersive estimates

A Note on Endpoint $L^P$-Continuity of Wave Operators for Classical and Higher Order SchröDinger Operators. arXiv (Cornell University) (2022)

Erdogan, M. BurakGreen, William R.

harmonic analysisoperator theorymathematical analysisfunctional analysisodd dimensionspotential theory\mathbb r^nnonlinear functional analysismathematical physicsspectral theoryapplied mathematicswave operatorsmathematics

The L-Continuity of Wave Operators for Higher Order SchröDinger Operators. Advances in Mathematics (2022)

M. Burak ErdoğanWilliam R. Green

abstract and applied analysisoperator theorylinear operatorsmathematical analysisfunctional analysisriemann-hilbert problemwave mechanicsoperator algebrasquantum mechanicsnonlinear functional analysisfunction spacesresolvent kernelspectral theoryapplied mathematicswave operatorsmathematics

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M. Burak Erdoğan

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

M. Burak Erdoğan is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

M. Burak Erdoğan

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Dispersive Estimates for Higher Order SchröDinger Operators With Scaling-Critical Potentials. Mathematische Annalen (2025)

M. Burak ErdoğanMichael GoldbergWilliam R. Green

M. Burak ErdoğanWilliam R. GreenKevin LaMaster

high dimensionsoperator theorymathematical analysisfunctional analysispartial differential equationsthreshold eigenvaluesspectral theoryapplied mathematicswave operatorsmathematics

$L^P$-Continuity of Wave Operators for Higher Order Schr\"Odinger Operators With Threshold Eigenvalues in High Dimensions. arXiv (Cornell University) (2024)

Erdogan, M. BurakGreen, William R.LaMaster, Kevin

Smoothing Estimates for Weakly Nonlinear Internal Waves in a Rotating Ocean. Zurnal matematiceskoj fiziki analiza geometrii (2024)

M. Burak ErdoğanNikolaos Tzirakis

Talbot Effect on the Sphere and Torus for $$D\Ge 2$$. Mathematische Zeitschrift (2024)

M. Burak ErdoğanChi N. Y. HuynhRyan McConnell

physicsgeometric analysismathematical physicstalbot effect

A Note on Endpoint L-Continuity of Wave Operators for Classical and Higher Order SchröDinger Operators. Journal of Differential Equations (2023)

M. Burak ErdoğanWilliam R. Green

Counterexamples to L Boundedness of Wave Operators for Classical and Higher Order SchröDinger Operators. Journal of Functional Analysis (2023)

M. Burak ErdoğanMichael GoldbergWilliam R. Green

abstract and applied analysisoperator theorylinear operatorsfunctional analysisoperator algebrasspectral theorywave operatorsl boundedness

Dispersive Estimates for Higher Order SchröDinger Operators With Scaling-Critical Potentials. arXiv (Cornell University) (2023)

Erdogan, M. BurakGoldberg, MichaelGreen, William R.

A Note on Endpoint $L^P$-Continuity of Wave Operators for Classical and Higher Order SchröDinger Operators. arXiv (Cornell University) (2022)

Erdogan, M. BurakGreen, William R.

The L-Continuity of Wave Operators for Higher Order SchröDinger Operators. Advances in Mathematics (2022)

M. Burak ErdoğanWilliam R. Green

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