Julie Rowlett
My research in geometric analysis investigates relationships between geometric features and partial differential equations. Of particular interest to me are the heat, wave, and Laplace equations; the dynamics of the geodesic flow; and spectral invariants. I am also interested in interdisciplinary collaborations where geometric analysis may be applied.
Showing 41 publications
THE LAPLACE SPECTRUM ON CONFORMALLY COMPACT MANIFOLDS
Fourier expansions of vector-valued automorphic functions with non-unitary twists
THE ISOSPECTRAL PROBLEM FOR FLAT TORI FROM THREE PERSPECTIVES
Diversity strengthens competing teams
Eigenvalue asymptotics for weighted Laplace equations on rough Riemannian manifolds with boundary
Donut choirs and Schiemann's symphony
The Dirichlet isospectral problem for trapezoids
Biodiversity of marine microbes is safeguarded by phenotypic heterogeneity in ecological traits
Crystallographic Groups, Strictly Tessellating Polytopes, and Analytic Eigenfunctions
Second variation of Selberg zeta functions and curvature asymptotics
Decisions and disease: a mechanism for the evolution of cooperation
Correction to: A Polyakov Formula for Sectors
Mathematics Indicates That an HIV-Style Strategy Could Be Applied to Manage the Coronavirus
How to hear the corners of a drum
The theory of games and microbe ecology
The heat trace for the drifting laplacian and schrodinger operators on manifolds
A Polyakov Formula for Sectors
The Neumann Isospectral Problem for Trapezoids
One can hear the corners of a drum
Eigenvalue Estimates on Bakry–Émery Manifolds
Love games: A game theory approach to compatibility
A heat trace anomaly on polygons
Dynamics and zeta functions on conformally compact manifolds
Can one hear the corners of a drum
The level sets of typical games
Errata to "Dynamics of asymptotically hyperbolic manifolds"
The fundamental gap and one-dimensional collapse
The fundamental gap of simplices
Mathematical models for erosion and the optimal transportation of sediment
On the discrete spectrum of quantum layers
Eigenvalues of collapsing domains and drift Laplacians
Zeta-regularized determinants of Laplacians on polygonal domains
La géométrie de Bakry-Émery et l'écart fondamental
On the spectral theory and dynamics of asymptotically hyperbolic manifolds
Conformal deformations of conic metrics to constant scalar curvature
Dynamics of asymptotically hyperbolic manifolds
Spectral geometry and asymptotically conic convergence
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Showing 1 research projects
Geometric analysis and applications to microbe ecology