College of Science
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- Creator(s):
- Dan Bates, David Eklund, Jonathan Hauenstein, Chris Peterson
- Description:
A fundamental problem in algebraic geometry is to decompose the solution set of a given polynomial system. A numerical description of this solution set is called a numerical irreducible decomposition and currently all standard algorithms use a sequence of homotopies forming a dimension-by-dimension approach. In this article, we pair a classical result to compute a smooth point on every irreducible component in every dimension using a single homotopy together with the theory of isosingular s…
- Date Created:
- 2019-04-26
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2
Doctoral Dissertation
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3
Doctoral Dissertation
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4
Doctoral Dissertation
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- Author:
- Cunlu Zhou
- Advisory Committee:
- Roxana Smarandache, Leonid Faybusovich
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2019-03-26
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6
Doctoral Dissertation
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7
Doctoral Dissertation
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8
Doctoral Dissertation
- Author:
- Ju-Young Kim
- Advisory Committee:
- Paul W. Bohn
- Degree Area:
- Chemistry and Biochemistry
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2019-02-21
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- Author(s):
- Yide Zhang
- Abstract:
In cancer and all biomedical researches, we always need a microscope with better imaging precision, speed, functionality, and depth, so that the diagnostics and treatments of cancer and other diseases can be accurate, fast, and noninvasive. However, conventional fluorescence microscopes cannot satisfy these needs due to physical limits on resolution, speed, information, and depth. In this work, we aim to overcome these limits using novel super-resolution microscopy and high-speed quantitative…
- Date Created:
- 2018-04-09
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10
Doctoral Dissertation
- Author:
- Suzanne M. Neidhart
- Advisory Committee:
- Steven A. Corcelli, J.Daniel Gezelter, William Schneider
- Degree Area:
- Chemistry and Biochemistry
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2019-01-09
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- Author(s):
- Yide Zhang, Scott S. Howard, Cody J. Smith
- Abstract:
Super-resolution microscopy is broadening our in-depth understanding of cellular structure. However, super-resolution approaches are limited, for numerous reasons, from utilization in longer-term intravital imaging. We devised a combinatorial imaging technique that combines deconvolution with stepwise optical saturation microscopy (DeSOS) to circumvent this issue and image cells in their native physiological environment. Other than a traditional confocal or two-photon microscope, this approac…
- Date Created:
- 2019-01-09
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12
Doctoral Dissertation
- Author:
- Matthew R. Hall
- Advisory Committee:
- John LoSecco, Rebecca Surman, Daniel W. Bardayan, Michael Wiescher
- Degree Area:
- Physics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2018-10-04