Associate Professor and Chair of Mathematics Keith Mellinger recently attended the Mathematical Association of America‘s regional meeting held at Salisbury University. At the meeting, Mellinger presented Eigentriads – a musical offering in which he discussed eigenvectors, a topic found in any undergraduate course in linear algebra, and an amusing relationship they have with diminished and augmented triads.
Larry Lehman Publishes Research
Larry Lehman, professor of mathematics, published the article “Suborder Polynomials Modulo Primes” in the February 2013 issue of JP Journal of Algebra, Number Theory and Applications. This article relates patterns in recursively defined sequences to the roots over finite fields of a certain class of polynomials.
Janusz Konieczny Publishes in Semigroup Forum
Janusz Konieczny, professor of mathematics, has co-authored a research article, Centralizers in the full transformation semigroup, published in the journal Semigroup Forum.
Mathematics Faculty and Student Present in San Diego
At the 2013 Joint Mathematics Meetings in San Diego, Calif., in January, two faculty members and a student from UMW presented their work. Suzanne Sumner, professor of mathematics, delivered the talk “Intensive Experiences for Undergraduate Mathematics” in a session on Communicating Mathematics sponsored by the Mathematical Association of America.
Debra Hydorn, professor of mathematics, spoke in a session devoted to Innovative Ideas for Courses in the First Two Years. Her talk was titled “Exploratory Projects in an Introduction to Discrete Mathematics Course.” Hydorn gave a second talk titled “Using R for Data Analysis Assignments in an Introductory Statistics Course” in a session devoted to Modern Ideas in Introductory Statistics Courses. In addition, she was honored to have a piece of geometric artwork accepted through a juried process to the Mathematical Art Exhibition.
Finally, UMW senior Ryan Vaughn presented a poster at the National Undergraduate Student poster competition. Ryan’s poster, titled “Embeddings of Complete Bipartite Graphs in Finite Projective Planes” won one of the Outstanding Poster Awards.
Keith Mellinger Publishes Research Article
Keith Mellinger, associate professor and chair of the Department of Mathematics, saw his co-authored article “Blocking semiovals containing conics” published in the January 2013 issue of Advances in Geometry. The article addresses the construction of blocking semiovals, a mathematical object that finds application in areas of modern cryptology and the design of experiments.
Leo Lee Presents Research in Korea
Janusz Konieczny Publishes in the Bulletin of the Australian Mathematical Society
Janusz Konieczny, professor of mathematics, has published a research article, Centralizers in the infinite symmetric inverse semigroup, in the Bulletin of the Australian Mathematical Society.
Larry Lehman Presents at Regional Conference
Larry Lehman, professor of mathematics, presented a paper entitled “Suborders of Quadratic Polynomials Modulo Primes” at the fall meeting of the MD-DC-VA Section of the Mathematical Association of America, held at Virginia Military Institute in Lexington, Va., in October 2012.
Janusz Konieczny and Former Students Publish in Algebra Colloquium
Janusz Konieczny, professor of mathematics, has co-authored a research article, Sn-normal semigroups of partial transformations, published in the journal Algebra Colloquium. The article has been written jointly with two UMW graduates, Sean Droms and Roberto Palomba, and contains the results of undergraduate research that Sean and Roberto did when they were mathematics students at the University of Mary Washington.
Keith Mellinger Publishes Research Article
Associate Professor and Chair of the Department of Mathematics Keith Mellinger recently had his article “The de Bruijn–Erdős theorem for hypergraphs” published in the journal Designs, Codes and Cryptography. The article was co-authored with mathematicians from the University of Illinois at Chicago, the University of California in San Diego, and Tel Aviv University, Israel.