Eugenie Hunsicker - Academia.edu (original) (raw)
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Papers by Eugenie Hunsicker
Machine Learning: Science and Technology
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...
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.
Journal of Breath Research
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.
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.
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.
International Journal of Mathematical Education in Science and Technology, 2014
Journal of Spectral Theory, 2014
Numerical Methods for Partial Differential Equations, 2014
The Michigan Mathematical Journal, 2002
Journal of Mathematical Physics, 2008
Machine Learning: Science and Technology
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...
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.
Journal of Breath Research
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.
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.
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.
International Journal of Mathematical Education in Science and Technology, 2014
Journal of Spectral Theory, 2014
Numerical Methods for Partial Differential Equations, 2014
The Michigan Mathematical Journal, 2002
Journal of Mathematical Physics, 2008