


Darin Stephenson's Undergraduate Research
Hope College mathematicians have been doing research with undergraduate
students since the early 1990s. Therefore, undergraduate research is
a longstanding part of the culture in our mathematics department.
This page details the projects students have
undertaken under my direction, and the resulting publications and presentations.
 Summer 1998: Geoffrey Dietz and Ryan Higginbottom
 Summer 1999: Andrea Douglass, Scott Mihalik and Courtney Fitzgerald
 Spring 2001: Lee Kiessel and Brian Yurk
 Summer 2001: Abigail Reck, Stephanie Wankier and Lee Kiessel
 Summer 2003: Andrew Wells, Erika Frugoni and Nina Miller
 Summer 2005: Shova KC and Anna Madras
 Summer 2008: Jill Immink, HHMI Science Education Scholar
 Summer 2008: Victoria Elandt, Nicholas James, Kathryn Johnson and Zachary Mitchell (project
codirected with Dr. Stephanie Edwards)
 Summer 2012: Laura Ballard and Erica Budge
Details about the students involved, the project, and related papers and talks are given below.
 Summer 1998: Geoffrey Dietz and Ryan Higginbottom
 Paper: Quantum 3spaces which embed weighted quantum planes,
Rocky Mountain Journal of Mathematics 35 (2005), 415444.
 Presentation: 1999 Joint Mathematics Meetings in San Antonio, TX.
 Support: NSFREU grant
 Geoffrey Dietz graduated from the University of Dayton, and completed his
PhD in commutative algebra at the University of Michigan. He is now a member of the
mathematics faculty at Gannon University.
 Ryan Higginbottom graduated from Bucknell University, and completed
his PhD in algebraic topology at the University of Virginia. He is now a member of the mathematics faculty
at Washington and Jefferson College.
 Summer 1999: Andrea Douglass, Scott Mihalik and Courtney Fitzgerald
 Paper: Expected areas of
randomly generated triangles of fixed perimeter,
Pi Mu Epsilon Journal, 11, No. 7, 2002, pp. 365371.
 Presentation: 1999 Hope College Mathematics Colloquium.
 Presentation: 1999 PEW Undergraduate Research Conference, Chicago, IL.
 Presentation: 2000 Joint Mathematics Meetings in Washington, DC.
 Support: NSFREU grant
 Andrea (Douglass) Shaeffer graduated from Hope College and is a financial analyst.
 Courtney (Fitzgerald) Slade graduated from Niagara University. She
also attended the MASS program at Penn State University, and currently
is a Math Editor for a publishing company.
 Scott Mihalik graduated the University of Michigan and works in
health care as a cardiovascular disease specialist.
 Spring 2001: Lee Kiessel and Brian Yurk
 Research in growth of algebras as an independent study course.
 Presentation: 2001 MAA Annual Meeting, Michigan Section.
 Lee Kiessel graduated from Hope College and completed a PhD in medical physics
at the University of Wisconsin. He now works as a physics radiology consultant.
 Brian Yurk graduated from
Utah State University with a PhD in mathematical biology. He
is now a faculty member at Hope College.
 Summer 2001: Abigail Reck, Stephanie Wankier and Lee Kiessel
 Paper: Noncommutative quadratic algebras with 2 generators (jointly with
Darin Stephenson and Bryan Yurk).
 Presentation: 2001 Hope College Mathematics Colloquium.
 Presentation: 2002 Joint Mathematics Meetings in San Diego, CA.
 Support: NSFREU grant
 Lee Kiessel graduated from Hope College and completed a PhD in medical physics
at the University of Wisconsin. He now works as a physics radiology consultant.
 Abigail (Reck) Brandsen graduated from Grand Valley State University.
 Stephanie Wankier graduated from Utah State University, and is now teaching
junior high school mathematics in Utah.
 Summer 2003: Andrew Wells, Erika Frugoni and Nina Miller
 Paper: Counting quadratic forms of rank 1 and 2, Pi Mu Epsilon Journal 12 (2009), No. 11, 613622.
 Presentation: 2003 Undergraduate Research Miniconference at Central Michigan University.
 Presentation: 2003 Michigan Undergraduate Mathematics Conference at Grand Valley State University.
 Support: NSFREU grant
 Erika Frugoni graduated from LoyolaMarymount University in 2004, and received her PhD in mathematics
from the University of ColoradoBoulder.
 Nina Miller graduated from Valparaiso University in 2004, and is working for an educational
publishing firm in South Carolina.
 Andrew Wells graduated from Hope College in 2005, and received his PhD in mathematics
from Iowa State University. He is currently an Assistant Professor at East Central University in Oklahoma.
 Summer 2005: Shova KC and Anna Madras
 Paper: Randomly generated triangles whose vertices are vertices of a regular polygon, RoseHulman Undergraduate Mathematics Journal 7, No. 1, 2006.
 Presentation: 2005 Michigan Undergraduate Mathematics Conference at University of MichiganFlint.
 Presentation: 2005 Undergraduate Research Miniconference at Grand Valley State University.
 Support: NSFREU grant
 Shova KC graduated from Hope College and completed a Master's degree in survey methodology
at the University of Maryland, College Park. She now works as a survey
statistician for the National Opinion Research Center in Chicago.
 Anna Madras graduated from Drury University and is teaching high school mathematics in Missouri.
 Summer 2008: Jill Immink
 Created a booklet of Maple labs and projects for the Math 231232 Multivariable Mathematics sequence,
in use during the 200809 academic year.
 Created exercises for the Math 231232 book being developed by Darin Stephenson.
 Created learning assessments for the Maple labs and projects.
 Explored ways to connect the topics of linear algebra and difference equations to the high school curriculum.
 Presentation: 2008 SUMMR Conference at Hope College.
 Funding: Howard Hughes Medical Institute Science Education Scholarship.
 Jill Immink graduated from Hope College with a degree in mathematics, and is now teaching high school.
 Summer 2008: Nicholas James, Zachary Mitchell, Kathryn Johnson and Victoria Elandt
 Paper: Lights Out on Finite Graphs, Involve 3 (2010), No. 1, 1732.
 Presentation: 2008 SUMMR Conference at Hope College.
 Presentation (by Zachary Mitchell):
2008 Michigan Undergraduate Research Conference at University of MichiganDearborn. This talk won an
award for second place in the competition for "Best Talk" at the conference.
 Support: NSFREU grant and Hope College funds.
 Victoria Elandt graduated from University of WisconsinStevens Point.
 Nicholas James graduated from the University of Florida, and is pursuing
mathematics graduate work
at Cornell University.
 Kathryn Johnson graduated from Hope College and completed a graduate program in library
sciences. She is now a reference librarian.
 Zachary Mitchell is a graduated from Hope College and is pursuing graduate work in
mathematics at Texas A&M
 Summer 2012: Laura Ballard and Erica Budge
 Paper: Lights Out on related graphs, submitted, 2014.
 Presentation: 2008 SUMMR Conference at Michigan State University.
 Support: NSFREU grant.
 Laura Ballard is currently a student at Syracuse University.
 Erica Budge graduated from Hope College and is working in insurance
in Michigan.
University.

