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Papers by Eugenie Hunsicker

Research paper thumbnail of Improving the segmentation of scanning probe microscope images using convolutional neural networks

Machine Learning: Science and Technology

Research paper thumbnail of A Tunable Three-Dimensional Printed Microfluidic Resistive Pulse Sensor for the Characterization of Algae and Microplastics

Research paper thumbnail of A Tunable 3D Printed Microfluidic Resistive Pulse Sensor for the Characterisation of Algae and Microplastics

Technologies that can detect and characterise particulates in liquids have applications in health... more Technologies that can detect and characterise particulates in liquids have applications in health, food and environmental monitoring. Here we present a low-cost and high-throughput multiuse counter that classifies a particle’s size, concentration, porosity and shape. Using an additive manufacturing process, we have assembled a reusable flow resistive pulse sensor. The device remains stable for several days with repeat measurements. We demonstrate its use for characterising algae with spherical and rod structures as well as microplastics shed from teabags. We present a methodology that results in a specific signal for microplastics, namely a conductive pulse, in contrast to particles with smooth surfaces such as calibration particles or algae, allowing the presence of microplastics to be easily confirmed and quantified. In addition, the shape of the signal and particle are correlated, giving an extra physical property to characterise suspended particulates. The technology can rapidly...

Research paper thumbnail of Architecture Definition in Complex System Design Using Model Theory

Research paper thumbnail of A methodology for characterising nanoparticle size and shape using nanopores

Nanoscale

The discovery and characterisation of nanomaterials represents a multidisciplinary problem, here ... more The discovery and characterisation of nanomaterials represents a multidisciplinary problem, here we apply predictive logistic regression models with resistive pulse sensing to create an rapid analysis technology.

Research paper thumbnail of Hodge theory for intersection space cohomology

Research paper thumbnail of Breath selection methods for compact mass spectrometry breath analysis

Journal of Breath Research

Research paper thumbnail of Isospectrality for Orbifold Lens Spaces

Canadian Journal of Mathematics

We answer Mark Kac’s famous question, “Can one hear the shape of a drum?” in the positive for orb... more We answer Mark Kac’s famous question, “Can one hear the shape of a drum?” in the positive for orbifolds that are 3-dimensional and 4-dimensional lens spaces; we thus complete the answer to this question for orbifold lens spaces in all dimensions. We also show that the coefficients of the asymptotic expansion of the trace of the heat kernel are not sufficient to determine the above results.

Research paper thumbnail of Hodge cohomology of iterated fibred cusp metrics on Witt spaces

On a smoothly stratified space, we identify intersection cohomology of any given perversity with ... more On a smoothly stratified space, we identify intersection cohomology of any given perversity with an associated weighted L2L^2L2 cohomology for iterated fibred cusp metrics on the smooth stratum. In particular given a Witt space, we identify the L2L^2L2 cohomology of iterated fibred cusp metrics with the middle perversity intersection cohomology of the corresponding stratified space.

Research paper thumbnail of Analysis of periodic Schr�dinger operators: Regularity and approximation of eigenfunctions

Research paper thumbnail of Hodge and signature theorems for a family of manifolds with fibration boundary

Research paper thumbnail of Spectral theory of the p-form Laplacian on manifolds with generalized cusps

Research paper thumbnail of A Parametrix Construction for the Laplacian on Q-rank 1 Locally Symmetric Space

In addition, we study the mapping properties of these operators and determine the appropriate Hli... more In addition, we study the mapping properties of these operators and determine the appropriate Hlibert spaces between which the Gauss-Bonnet and Hodge Laplace operators are Fredholm. Finally, we establish regularity results for elements of the kernels of these operators.

Research paper thumbnail of Improving statistical skills through students’ participation in the development of resources

International Journal of Mathematical Education in Science and Technology, 2014

Research paper thumbnail of Harmonic forms on manifolds with edges

Research paper thumbnail of Scattering theory of the <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>p</mi></mrow><annotation encoding="application/x-tex">p</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">p</span></span></span></span>-form Laplacian on manifolds with generalized cusps

Journal of Spectral Theory, 2014

Research paper thumbnail of A Parametrix Construction for the Laplacian on ℚ-rank 1 Locally Symmetric Spaces

Research paper thumbnail of Analysis of Schrödinger operators with inverse square potentials II: FEM and approximation of eigenfunctions in the periodic case

Numerical Methods for Partial Differential Equations, 2014

Research paper thumbnail of L 2 Harmonic forms for a class of complete Kähler metrics

The Michigan Mathematical Journal, 2002

Research paper thumbnail of Analysis of periodic Schrödinger operators: Regularity and approximation of eigenfunctions

Journal of Mathematical Physics, 2008

Research paper thumbnail of Improving the segmentation of scanning probe microscope images using convolutional neural networks

Machine Learning: Science and Technology

Research paper thumbnail of A Tunable Three-Dimensional Printed Microfluidic Resistive Pulse Sensor for the Characterization of Algae and Microplastics

Research paper thumbnail of A Tunable 3D Printed Microfluidic Resistive Pulse Sensor for the Characterisation of Algae and Microplastics

Technologies that can detect and characterise particulates in liquids have applications in health... more Technologies that can detect and characterise particulates in liquids have applications in health, food and environmental monitoring. Here we present a low-cost and high-throughput multiuse counter that classifies a particle’s size, concentration, porosity and shape. Using an additive manufacturing process, we have assembled a reusable flow resistive pulse sensor. The device remains stable for several days with repeat measurements. We demonstrate its use for characterising algae with spherical and rod structures as well as microplastics shed from teabags. We present a methodology that results in a specific signal for microplastics, namely a conductive pulse, in contrast to particles with smooth surfaces such as calibration particles or algae, allowing the presence of microplastics to be easily confirmed and quantified. In addition, the shape of the signal and particle are correlated, giving an extra physical property to characterise suspended particulates. The technology can rapidly...

Research paper thumbnail of Architecture Definition in Complex System Design Using Model Theory

Research paper thumbnail of A methodology for characterising nanoparticle size and shape using nanopores

Nanoscale

The discovery and characterisation of nanomaterials represents a multidisciplinary problem, here ... more The discovery and characterisation of nanomaterials represents a multidisciplinary problem, here we apply predictive logistic regression models with resistive pulse sensing to create an rapid analysis technology.

Research paper thumbnail of Hodge theory for intersection space cohomology

Research paper thumbnail of Breath selection methods for compact mass spectrometry breath analysis

Journal of Breath Research

Research paper thumbnail of Isospectrality for Orbifold Lens Spaces

Canadian Journal of Mathematics

We answer Mark Kac’s famous question, “Can one hear the shape of a drum?” in the positive for orb... more We answer Mark Kac’s famous question, “Can one hear the shape of a drum?” in the positive for orbifolds that are 3-dimensional and 4-dimensional lens spaces; we thus complete the answer to this question for orbifold lens spaces in all dimensions. We also show that the coefficients of the asymptotic expansion of the trace of the heat kernel are not sufficient to determine the above results.

Research paper thumbnail of Hodge cohomology of iterated fibred cusp metrics on Witt spaces

On a smoothly stratified space, we identify intersection cohomology of any given perversity with ... more On a smoothly stratified space, we identify intersection cohomology of any given perversity with an associated weighted L2L^2L2 cohomology for iterated fibred cusp metrics on the smooth stratum. In particular given a Witt space, we identify the L2L^2L2 cohomology of iterated fibred cusp metrics with the middle perversity intersection cohomology of the corresponding stratified space.

Research paper thumbnail of Analysis of periodic Schr�dinger operators: Regularity and approximation of eigenfunctions

Research paper thumbnail of Hodge and signature theorems for a family of manifolds with fibration boundary

Research paper thumbnail of Spectral theory of the p-form Laplacian on manifolds with generalized cusps

Research paper thumbnail of A Parametrix Construction for the Laplacian on Q-rank 1 Locally Symmetric Space

In addition, we study the mapping properties of these operators and determine the appropriate Hli... more In addition, we study the mapping properties of these operators and determine the appropriate Hlibert spaces between which the Gauss-Bonnet and Hodge Laplace operators are Fredholm. Finally, we establish regularity results for elements of the kernels of these operators.

Research paper thumbnail of Improving statistical skills through students’ participation in the development of resources

International Journal of Mathematical Education in Science and Technology, 2014

Research paper thumbnail of Harmonic forms on manifolds with edges

Research paper thumbnail of Scattering theory of the <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>p</mi></mrow><annotation encoding="application/x-tex">p</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.1944em;"></span><span class="mord mathnormal">p</span></span></span></span>-form Laplacian on manifolds with generalized cusps

Journal of Spectral Theory, 2014

Research paper thumbnail of A Parametrix Construction for the Laplacian on ℚ-rank 1 Locally Symmetric Spaces

Research paper thumbnail of Analysis of Schrödinger operators with inverse square potentials II: FEM and approximation of eigenfunctions in the periodic case

Numerical Methods for Partial Differential Equations, 2014

Research paper thumbnail of L 2 Harmonic forms for a class of complete Kähler metrics

The Michigan Mathematical Journal, 2002

Research paper thumbnail of Analysis of periodic Schrödinger operators: Regularity and approximation of eigenfunctions

Journal of Mathematical Physics, 2008

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