| Publication | Date of Publication | Type |
|---|
| Attainable bounds for algebraic connectivity and maximally-connected regular graphs | 2023-07-14 | Paper |
| Resource-Mediated Competition Between Two Plant Species with Different Rates of Water Intake | 2023-05-26 | Paper |
| Cops-on-the-dots: The linear stability of crime hotspots for a 1-D reaction-diffusion model of urban crime | 2022-12-08 | Paper |
| Spikes and localised patterns for a novel Schnakenberg model in the semi-strong interaction regime | 2022-12-08 | Paper |
| Stability and dynamics of spike-type solutions to delayed Gierer-Meinhardt equations | 2022-11-08 | Paper |
| A ring of spikes in a Schnakenberg model | 2022-10-11 | Paper |
| Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory | 2022-04-11 | Paper |
| A ring of spikes | 2022-02-15 | Paper |
| It is better to be semi-regular when you have a low degree | 2021-12-28 | Paper |
| Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system | 2021-07-15 | Paper |
| Toroidal Vortex Filament Knots and Links: Existence, Stability and Dynamics | 2021-04-20 | Paper |
| Spike Dynamics in the Presence of Noise | 2021-04-20 | Paper |
| Stable asymmetric spike equilibria for the Gierer–Meinhardt model with a precursor field | 2021-03-18 | Paper |
| Competition instabilities of spike patterns for the 1D Gierer–Meinhardt and Schnakenberg models are subcritical | 2021-01-29 | Paper |
| Spike density distribution for the Gierer-Meinhardt model with precursor | 2021-01-27 | Paper |
| Hexagonal spike clusters for some PDE's in 2D | 2020-11-11 | Paper |
| Localized outbreaks in an S-I-R model with diffusion | 2020-03-05 | Paper |
| Stabilizing a homoclinic stripe | 2019-11-18 | Paper |
| Pattern formation in bacterial colonies with density-dependent diffusion | 2019-02-20 | Paper |
| Multi-vortex crystal lattices in Bose–Einstein condensates with a rotating trap | 2018-11-26 | Paper |
| Critical exponent of a simple model of spot replication | 2018-10-02 | Paper |
| Pattern Formation in a Reaction-Diffusion System with Space-Dependent Feed Rate | 2018-08-14 | Paper |
| Mathematics on the chopping block | 2018-02-28 | Paper |
| Equilibria for an Aggregation Model with Two Species | 2018-01-12 | Paper |
| Agent-based model of the effect of globalization on inequality and class mobility | 2017-12-01 | Paper |
| Patterned vegetation, tipping points, and the rate of climate change | 2017-11-24 | Paper |
| A tale of two distributions: from few to many vortices in quasi-two-dimensional Bose–Einstein condensates | 2017-09-29 | Paper |
| Vortex nucleation in a dissipative variant of the nonlinear Schrödinger equation under rotation | 2017-06-13 | Paper |
| Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems | 2017-06-06 | Paper |
| Moving and jumping spot in a two-dimensional reaction–diffusion model | 2017-05-24 | Paper |
| The Stability and Slow Dynamics of Localized Spot Patterns for the 3-D Schnakenberg Reaction-Diffusion Model | 2017-03-02 | Paper |
| Metastable States for an Aggregation Model with Noise | 2016-12-16 | Paper |
| A local PDE model of aggregation formation in bacterial colonies | 2016-11-11 | Paper |
| Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross--Pitaevskii Equation | 2016-06-16 | Paper |
| Oscillations of many interfaces in the near-shadow regime of two-component reaction-diffusion systems | 2016-02-03 | Paper |
| Recovering multiple small inclusions in a three-dimensional domain using a single measurement | 2015-12-09 | Paper |
| Ring patterns and their bifurcations in a nonlocal model of biological swarms | 2015-06-12 | Paper |
| The Transition to a Point Constraint in a Mixed Biharmonic Eigenvalue Problem | 2015-06-12 | Paper |
| Maximizing algebraic connectivity for certain families of graphs | 2015-03-06 | Paper |
| Basic Mechanisms Driving Complex Spike Dynamics in a Chemotaxis Model with Logistic Growth | 2015-02-09 | Paper |
| The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime | 2014-12-03 | Paper |
| Two-species particle aggregation and stability of co-dimension one solutions | 2014-12-03 | Paper |
| Drunken robber, tipsy cop: First passage times, mobile traps, and Hopf bifurcations | 2014-10-03 | Paper |
| Mean first passage time for a small rotating trap inside a reflective disk | 2014-05-09 | Paper |
| Singular patterns for an aggregation model with a confining potential | 2014-04-04 | Paper |
| On large ring solutions for Gierer-Meinhardt system in \(\mathbb R^3\) | 2014-02-05 | Paper |
| Crime Modeling with Lévy Flights | 2013-11-14 | Paper |
| Diffuse interface surface tension models in an expanding flow | 2013-07-30 | Paper |
| Swarming on random graphs | 2013-06-26 | Paper |
| Simple PDE Model of Spot Replication in Any Dimension | 2013-02-04 | Paper |
| Interface oscillations in reaction-diffusion systems above the Hopf bifurcation | 2012-10-29 | Paper |
| PREDICTING PATTERN FORMATION IN PARTICLE INTERACTIONS | 2012-06-18 | Paper |
| Stability transitions and dynamics of mesa patterns near the shadow limit of reaction-diffusion systems in one space dimension | 2012-03-19 | Paper |
| Stability of Spiky Solutions in a Competition Model with Cross-Diffusion | 2011-11-10 | Paper |
| Swarm dynamics and equilibria for a nonlocal aggregation model | 2011-10-27 | Paper |
| Instability thresholds in the microwave heating model with exponential non-linearity | 2011-06-10 | Paper |
| Smoke-Ring Solutions of Gierer–Meinhardt System in $\mathbb{R}^{3}$ | 2011-05-02 | Paper |
| Stability of Curved Interfaces in the Perturbed Two-Dimensional Allen–Cahn System | 2009-11-06 | Paper |
| Phytoplankton depth profiles and their transitions near the critical sinking velocity | 2009-10-12 | Paper |
| Existence and stability analysis of spiky solutions for the Gierer-Meinhardt system with large reaction rates | 2009-09-28 | Paper |
| Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain | 2009-07-24 | Paper |
| Introduction: Dissipative localized structures in extended systems | 2009-07-01 | Paper |
| Zigzag and Breakup Instabilities of Stripes and Rings in the Two‐Dimensional Gray–Scott Model | 2008-10-17 | Paper |
| Pulse‐Splitting for Some Reaction‐Diffusion Systems in One‐Space Dimension | 2008-10-16 | Paper |
| The Existence and Stability of Spike Equilibria in the One‐Dimensional Gray–Scott Model: The Low Feed‐Rate Regime | 2008-10-16 | Paper |
| Positive clustered layered solutions for the Gierer-Meinhardt system | 2008-07-31 | Paper |
| Self-replication of mesa patterns in reaction-diffusion systems | 2007-12-12 | Paper |
| The Stability of a Stripe for the Gierer--Meinhardt Model and the Effect of Saturation | 2007-10-02 | Paper |
| The stability and dynamics of a spike in the 1D Keller–Segel model | 2007-08-10 | Paper |
| Slow translational instabilities of spike patterns in the one-dimensional Gray-Scott model | 2006-11-21 | Paper |
| The Q-switching instability in passively mode-locked lasers | 2006-08-17 | Paper |
| Mesa-type patterns in the one-dimensional Brusselator and their stability | 2006-06-09 | Paper |
| The existence and stability of spike equilibria in the one-dimensional Gray -- Scott model on a finite domain | 2006-01-24 | Paper |
| Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps | 2006-01-03 | Paper |
| On ring-like solutions for the Gray–Scott model: existence, instability and self-replicating rings | 2006-01-03 | Paper |
| The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime | 2005-06-01 | Paper |
| Bifurcation of spike equilibria in the near-shadow Gierer-Meinhardt model | 2004-10-27 | Paper |
| Reduced wave Green's functions and their effect on the dynamics of a spike for the Gierer–Meinhardt model | 2004-10-25 | Paper |
| First-order ordinary differential equations, symmetries and linear transformations | 2003-01-01 | Paper |
