Speaker: Yuriy Mileyko (UHM)

Title: Another look at recovering local homology from samples of stratified sets.

Abstract

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).

Abstract:

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: B. Kjos-Hanssen (joint work with Lei Liu)

Abstract:

Campeanu and Ho (2004) stated that it is “very difficult” to compute the number $m_n$ of maximally complex languages (in a finite automata sense) consisting of binary words of length $n$. We show that $m_n=O_{i,n}$, the number of functions from $[2^i]$ to $[2^{2^{n-i}}]$ whose range contains $[2^{2^{n-i}}-1]$, for the least $i$ for which $O_{i,n}>0$. Here, $[a]=${1,…,a}.

Speaker: John Marriott (Boeing)

Title: Data Science Curriculum for Industry

Abstract:

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.