Several TTU students have experienced the challenges and rewards of mathematical research through undergraduate research projects supervised by TTU mathematics faculty members. Descriptions of the accomplishments of some of these students are provided below under the heading Previous Projects.

Current students who are interested in participating in an undergraduate research project should consult with a professor to determine if he/she would be able to supervise a research project.

Rebecca Lufi and James Sunkes completed undergraduate research projects in algebra under the supervision of Dr. Andrew J. Hetzel. David Cook and several other students worked with Dr. Sabine Le Borne on research projects as part of her NSF grant on Hierarchical Matrices in Computational Fluid Dynamics.

Semirings: **Rebeca Lufi** completed a bachelor's degree in mathematics at TTU in May 2006 and completed a master's degree in mathematics at TTU in May 2007. She transformed an undergraduate research project in the area of semirings under the guidance of Dr. Andrew J. Hetzel into a master's thesis entitled "Sufficient Conditions for a Finite Semiring to be a Ring". Rebeca presented her results at the national meeting of Mathematical Association of America in 2006 and became a co-author with Dr. Hetzel in the subsequent paper "On the Relationship between Zero-divisors of Semirings", which was published in the Kyungpook Mathematical Journal in 2009. Rebeca is now working as an actuary at Towers-Perrin in Philadelphia and is pursuing a doctorate in mathematics at Temple University.

Arithmetic Functions and Polynomials with Integer Coefficients:** James Sunkes** completed a bachelor's degree in mathematics at TTU in May 2009. He did two undergraduate research projects under the guidance of Dr. Andrew J. Hetzel, one in 2007 in the number-theoretic area of arithmetic functions and the other in the fall of 2008 on polynomials with integer coefficients. James presented the results from his first research project at the University of Tennessee Undergraduate Math Conference in 2008 in a talk entitled "On the Average Divisor Function". James is now in graduate school at the University of Tennessee Knoxville pursuing a doctorate in mathematics.

**David Cook** completed a bachelor's degree in mathematics and a bachelor's degree in computer science at TTU in May 2007. He worked on an undergraduate research project under the supervision of Dr. Sabine Le Borne as part of her NSF grant on Hierarchical Matrices in Computational Fluid Dynamics. David and Dr. Le Borne published their results in the paper, "Construction of a discrete divergence-free basis through orthogonal factorization in H-arithmetic," that appeared in the journal *Computing* in 2007. David is now in graduate school at the University of Kentucky pursuing a doctorate in mathematics.