Faculty

Institution

Unit

Venue

Matthew Holzer

Associate Professor

George Mason University

Affiliations

College of Science

Mathematical Sciences

Matthew Holzer is currently serving as a College Of Science Associate Professor at George Mason University.

Honors

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Experiences

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Education

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Matthew Holzer

George Mason University

Associate Professor

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applied mathematics mathematical biology systems engineering dynamical systems mathematics applied physics nonlinear science mathematical analysis invasion biology renormalization group method mathematical physics asymptotic analysis pattern formation theoretical biology discrete dynamical systems lotka-volterra competition model coupled fisher-kpp equations asymptotic stability numerical analysis partial differential equations boundary value problems nonlinear analysis spectral theory nonlinear phenomena fractional calculus numerical simulations biological invasions mathematical sciences integrable systems perturbation methods singularly perturbed problem lie point symmetry algal biology chaos theory bifurcation theory network theory normal form theory nonlocal fisher-kpp equation invasion processes pointwise growth accelerated fronts two-stage invasion process critical fisher-kpp front pointwise estimates reaction-diffusion-mechanics system nonlinear resonant interaction integrate-and-fire models refractory periods nonlinear hyperbolic problem wave motion stability wave propagation wave theory differential equations wave nonlinearity nonlinear wave propagation periodic travelling wave

Notable Scholarly Works

Notable Federal Grants

Collaborators

Pattern Formation in Random Networks Using Graphons. SIAM Journal on Mathematical Analysis (2023)

Jason BramburgerMatt Holzer

network analysisapplied mathematicsmathematicspattern formationrandom networksmathematical analysisgraph theorynetwork theorymathematical sciences

Pushed Fronts in a Fisher–Kpp–Burgers System Using Geometric Desingularization. Nonlinear Differential Equations and Applications NoDEA (2023)

Matt HolzerMatthew KearneySamuel MolseedKatie TuttleDavid Wigginton

fisher-kpp-burgers systemgeometric desingularizationfluid dynamicsapplied mathematics

Pushed-To-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty. Journal of Nonlinear Science (2023)

Montie AveryMatt HolzerArnd Scheel

transmissionnonlinear sciencehidden monotonictypushed-to-pulled front transitionsspeed scalings

Epidemic Spreading on Complex Networks as Front Propagation Into an Unstable State. Bulletin of Mathematical Biology (2022)

Ashley ArmbrusterMatt HolzerNoah RoselliLena Underwood

unstable stateapplied mathematicsmathematical biologyfront propagationtheoretical biologyepidemiology

Invasion Into Remnant Instability: A Case Study of Front Dynamics. Indiana University Mathematics Journal (2022)

Gregory FayeMatt HolzerArnd ScheelLars Siemer

applied mathematicsinvasion biologyfront dynamicsmathematicsplanetary sciencesremnant instability

Locked Fronts in a Discrete Time Discrete Space Population Model. Journal of Mathematical Biology (2022)

Matt HolzerZachary RicheyWyatt RushSamuel Schmidgall

mathematical biologylocked frontsapplied mathematics

Asymptotic Spreading for Fisher-Kpp Reaction-Diffusion Equations With Heterogeneous Shifting Diffusivity. Discrete and Continuous Dynamical Systems - S (2021)

Grégory FayeThomas GilettiMatt Holzer

discrete dynamical systemssystems engineeringapplied mathematicsasymptotic spreadingdynamical systemsfisher-kpp reaction-diffusion equations

Asymptotic Stability of the Critical Pulled Front in a Lotka-Volterra Competition Model. Journal of Differential Equations (2020)

Grégory FayeMatt Holzer

lotka-volterra competition modelasymptotic stabilityasymptotic analysisapplied mathematics

Asymptotic Stability of the Critical Fisher–Kpp Front Using Pointwise Estimates. Zeitschrift für angewandte Mathematik und Physik (2018)

Grégory FayeMatt Holzer

asymptotic stabilityapplied mathematicsmathematical biologycritical fisher-kpp frontpointwise estimates

Bifurcation to Locked Fronts in Two Component Reaction–Diffusion Systems. Annales de l Institut Henri Poincaré C Analyse Non Linéaire (2018)

Grégory FayeMatt Holzer

theoretical chemistrybifurcation theoryapplied mathematics

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Matthew Holzer

Associate Professor

George Mason University

Affiliations

College of Science

Mathematical Sciences

Matthew Holzer is currently serving as a College Of Science Associate Professor at George Mason University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Matthew Holzer

George Mason University

Associate Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Pattern Formation in Random Networks Using Graphons. SIAM Journal on Mathematical Analysis (2023)

Jason BramburgerMatt Holzer

network analysisapplied mathematicsmathematicspattern formationrandom networksmathematical analysisgraph theorynetwork theorymathematical sciences

Pushed Fronts in a Fisher–Kpp–Burgers System Using Geometric Desingularization. Nonlinear Differential Equations and Applications NoDEA (2023)

Matt HolzerMatthew KearneySamuel MolseedKatie TuttleDavid Wigginton

fisher-kpp-burgers systemgeometric desingularizationfluid dynamicsapplied mathematics

Pushed-To-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty. Journal of Nonlinear Science (2023)

Montie AveryMatt HolzerArnd Scheel

transmissionnonlinear sciencehidden monotonictypushed-to-pulled front transitionsspeed scalings

Epidemic Spreading on Complex Networks as Front Propagation Into an Unstable State. Bulletin of Mathematical Biology (2022)

Ashley ArmbrusterMatt HolzerNoah RoselliLena Underwood

unstable stateapplied mathematicsmathematical biologyfront propagationtheoretical biologyepidemiology

Invasion Into Remnant Instability: A Case Study of Front Dynamics. Indiana University Mathematics Journal (2022)

Gregory FayeMatt HolzerArnd ScheelLars Siemer

applied mathematicsinvasion biologyfront dynamicsmathematicsplanetary sciencesremnant instability

Locked Fronts in a Discrete Time Discrete Space Population Model. Journal of Mathematical Biology (2022)

Matt HolzerZachary RicheyWyatt RushSamuel Schmidgall

mathematical biologylocked frontsapplied mathematics

Asymptotic Spreading for Fisher-Kpp Reaction-Diffusion Equations With Heterogeneous Shifting Diffusivity. Discrete and Continuous Dynamical Systems - S (2021)

Grégory FayeThomas GilettiMatt Holzer

discrete dynamical systemssystems engineeringapplied mathematicsasymptotic spreadingdynamical systemsfisher-kpp reaction-diffusion equations

Asymptotic Stability of the Critical Pulled Front in a Lotka-Volterra Competition Model. Journal of Differential Equations (2020)

Grégory FayeMatt Holzer

lotka-volterra competition modelasymptotic stabilityasymptotic analysisapplied mathematics

Asymptotic Stability of the Critical Fisher–Kpp Front Using Pointwise Estimates. Zeitschrift für angewandte Mathematik und Physik (2018)

Grégory FayeMatt Holzer

asymptotic stabilityapplied mathematicsmathematical biologycritical fisher-kpp frontpointwise estimates

Bifurcation to Locked Fronts in Two Component Reaction–Diffusion Systems. Annales de l Institut Henri Poincaré C Analyse Non Linéaire (2018)

Grégory FayeMatt Holzer

theoretical chemistrybifurcation theoryapplied mathematics

1
2
3
10 / page

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Institution

Carnegie Mellon University

mechanics

mathematical logic

Jalal M. I. Shatah

Institution

New York University

nonlinear hyperbolic problem

hyperbolic equation

Benjamin Dodson

Institution

Johns Hopkins University

applied mathematics

global well-posedness

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spectral theory

difference equation

Nikolaos Tzirakis

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applied mathematics

nonlinear hyperbolic problem

Pierre Germain

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engineering

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mathematical physics

nonlinear phenomena

Vadim Zharnitsky

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applied mathematics

nonlinear dynamic

Robert Pego

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mechanics

financial stability

Vera Mikyoung Hur

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ocean engineering

earth science