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 27 publications
Second variation of Selberg zeta functions and curvature asymptotics
Decisions and disease: a mechanism for the evolution of cooperation
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
A heat trace anomaly on polygons
Eigenvalue Estimates on Bakry–Émery Manifolds
Dynamics and zeta functions on conformally compact manifolds
Can one hear the corners of a drum
Love games: A game theory approach to compatibility
Errata to "Dynamics of asymptotically hyperbolic manifolds"
The fundamental gap and one-dimensional collapse
Mathematical models for erosion and the optimal transportation of sediment
The fundamental gap of simplices
On the discrete spectrum of quantum layers
Zeta-regularized determinants of Laplacians on polygonal domains
Eigenvalues of collapsing domains and drift Laplacians
On the spectral theory and dynamics of asymptotically hyperbolic manifolds
La géométrie de Bakry-Émery et l'écart fondamental
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