Speaker: Yuriy Mileyko (UHM)
Title: Another look at recovering local homology from samples of stratified sets.
Recovering homological features of spaces from samples has become one of
the central themes in topological data analysis, which has led to many
successful applications. Most of the results in this area focus on
global homological features, whose recovery predicates on imposing well
understood geometric conditions on the underlying space. Existing work
on recovering local homological information of a space from samples has
been much less abundant, since the required local geometric conditions on
the underlying space may vary from point to point and are not easily
integrated into a global condition, unless the space is a smooth
manifold. In this talk, we show that such global conditions for
recovering local homological information can be obtained for a fairly
large class of stratified sets.
Prof. Ross will speak about Nathanson’s “Generalized Egyptian Fractions.” Usual time and place (2:30, K314).
In a paper earlier this year Mel Nathanson generalized the notion of
“Egyptian Fraction” and extended some results of Sierpinski to sets of
these generalized Egyptian fractions. I’ll give short nonstandard proofs of
further generalizations of these results.
Speaker: Ricardo Teixeira (U. Houston-Victoria)
Title: Teaching Precalculus in Hawaii
Abstract: Most students enjoy learning about applications of math concepts. In
this talk, we will show how Precalculus concepts can motivate students
in the University of Hawai`i at Mānoa. Some interesting and recreational
use of certain concepts will be explored. At the end, we will cover
other ideas such as how to develop and maintain an effective culture of
assessment that may be used for future improvement and more.
Speaker: John Marriott (Boeing)
Title: Data Science Curriculum for Industry
John Marriott earned his PhD from UH Math in 2013 and currently works
at Boeing as a data scientist. He combines mathematical modeling,
statistics, and programming to create data products on logistics,
labor estimates, and workplace safety. He will talk about his current
work, the transition from academia to industry, and suggestions for
curriculum to prepare students for work in this field.