Janusz Konieczny, professor of mathematics, co-authored a research article, The largest subsemilattices of the endomorphism monoid of an independence algebra, published in the journal Linear Algebra and Its Applications.
Senior mathematics student Kimberly Hildebrand’s abstract titled Using Independent Bernoulli Random Variables to Model Gender Hiring Practices has been accepted for presentation at the 2014 National Pi Mu Epsilon Conference from August 6 to 8 in Portland, Ore.
Here is the abstract:
Gender bias is a problem in the workforce at large. In order for society to progress it is important that hiring practices do not use gender as a competitive factor. Hiring practices based on gender can be represented statistically using Bernoulli Random Variables and the Beta and Binomial Distributions. Using the moment generating function (MGF) of the Bernoulli and Binomial Distributions, it is possible to calculate the expected value (mean) and variance for the number of women hires for n positions. The probability generating function (PGF) of a sample size n can be used to find the probability of hiring a specific number of women (X). A computer program was used to run trials to simulate different male/female distributions using recent data on the proportion of women earning a PhD in a variety of disciplines. The simulations were used to represent hiring results for seven faculty positions. Situations where the female proportion is centered at 0.3, 0.5, and 0.7 were studied. Trials that included random proportions of women for each position were run as well. Results revealed that it is actually unusual for employers to hire one or fewer women for seven positions, which could provide evidence of gender bias.
Janusz Konieczny, professor of mathematics, published a research article, Automorphism groups of endomorphism monoids of free G_sets, in the Asian-European Journal of Mathematics.
Janusz Konieczny, professor of mathematics, gave an invited talk, “The Commuting Graph of the Symmetric Inverse Semigroup,” at the Analysis, Logic and Physics Seminar at Virginia Commonwealth University.
Keith Mellinger, Associate Professor and Chair of the Department of Mathematics, recently saw his co-authored research article Embedding cycles in finite planes published in the Electronic Journal of Combinatorics. The article addresses graph cycles in planes, a topic that has been connected to certain soft-decision decoding algorithms for error-correcting codes.
Assistant Professor of Mathematics, Jangwoon “Leo” Lee, recently presented “Domain Decomposition Methods for Solving Stochastic PDEs” at the annual US-Korea Conference (UKC 2013) in New Jersey. In addition to attending many research talks at the conference, Dr. Lee chaired an applied mathematics session.
Keith Mellinger, Associate Professor and Chair of the Department of Mathematics, recently traveled to two conferences to present various results of his research. First, was the 2nd Annual Conference for the Exchange of Mathematical Ideas, a conference he helped to organize, held at the University of Northern Iowa. There he spoke about Blocking Semiovals and Their Applications to Cryptography. He also traveled to London, England, for the 24th British Combinatorial Conference where he delivered the presentation titled Minimal Kakeya Sets.