2014 Project: Arithmetic of Numerical Semigroups
The general area of study will be Number Theory, specifically Numerical Semigroups. A numerical semigroup is an additively closed subset of the nonnegative integers, such as {0,3,5,6,8,9,10,11,...}. We are concerned with arithmetic properties, such as what the irreducible elements are (3,5 in this example).
 | Program Director: Vadim Ponomarenko |
| Dr. Ponomarenko has been directing undergraduate and REU research for over a decade. Most REU participants he has worked with have been coauthors on at least one paper as a result of this collaboration. |
 | Technical Consultant: Scott Chapman | Technical Consultant: Pedro Garcia-Sanchez |  | |
| Dr. Chapman has been involved with REU research for even longer than Dr. Ponomarenko. Since January 2012 he has been serving as the Editor-in-Chief of the American Mathematical Monthly. | Dr. Garcia-Sanchez teaches at the Universidad de Granada (Spain). He has published extensively on numerical semigroups, commutative monoids, and nonunique factorization invariants. |
