Aubrey HB - Graduate Student |
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MathDegrees: BA - Barnard College, Columbia University - 2005 MS - Duke University - 2006 I am a Fourth-Year Graduate student in the Department of Mathematics at Duke University. Passing my oral qualifying exams in Algebra and Topology earned me a Masters Degree. My current advisor is John Harer who is leading me in a thesis topic in computational topology. I am working towards understanding how Persistence may be used in the study of building up vector bundles of manifolds. In addition to teaching, taking courses, and experiencing these research areas, I ran the Graduate/Faculty Seminar that takes place at 4:30 in Physics 119 every operable Friday of the semester. Besides merely having to roping people to speak for the benefit of others, I wrote weekly advertisements to inspire excitement for the upcoming talks. For a reserve of past semesters' talks (titles and abstracts) and their advertisements, please go to this page. PapersI am currently writing a paper with John Harer that I anticipate will be entitled Persistence Cohomology.Talks
ABSTRACT:
Given a set of data points, I can create a topological space by
considering each individual data point to be a vertex of a simplicial
complex. Persistence pairs homology of that given surface at various
levels to look at a local structure. This talk will give a brief
explanation of simplicial complexes, homology groups and persistence.
This will provide the tools that detect noise versus important
trends in our data sets that further the analysis and understanding of
data collected.
ABSTRACT:
I will give a brief overview of the mathematical tools that lead to
understanding Persistence Homology, an important part of Computational
Topology. TeachingFall 2006 and 2007 I taught 25L under the supervision of James Tomberg. If you are lucky and/or I'm dilligent, there might be some calculus practice problems here at a later date. Summer 2008 I taught Math 103, or better known as Multivariable Calculus, during Summer Session 1. TutoringI currently offer my services as a tutor in the following areas:
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