Undergraduate: Resources

Undergraduate Research

The Department of Mathematics and Statistics encourages undergraduate students to further their mathematical education beyond the basic curriculum through several opportunities, including a limited number of undergraduate research awards. Students that are interested in pursuing any of these options should contact the Director of Undergraduate Research, Thomas Weighill.

You can find research experiences that are part of a larger undergraduate research program at UNCG and beyond.

Undergraduate Research at UNCG

Course-Based Research Experience

Some courses offered by the department may include an active research component that will motivate the course content. As part of their assignments for the course, students will engage in activities (literature reading, hypothesizing, programming, theoretical work, writing) that contribute to our understanding of open research questions. The courses that include these research experiences and the motivating research question will vary by semester.

Independent Research Experience

The capstone experience for many undergraduate students is an independent research project on a novel mathematical or statistical question. The research will often be a part of a faculty member’s ongoing research portfolio, although students may propose projects of their own design. Written and oral presentations of findings at the end of the project are expected. Although it is not a strict requirement, students are encouraged to undertake research projects that are potentially worthy of publication in student or professional research journals.

Finding an Advisor

Interested students should identify a faculty member willing to mentor the student during the project.
You can find the research interests of faculty members on the faculty homepages.

Current Opportunities at UNCG

RESU: Research Experience in Statistics for UNCG Undergraduates Research Experience in Statistics for UNCG Undergraduates

The Research Experience in Statistics for UNCG Undergraduates (RESU) Program is designed to provide high performing students the opportunity to get involved in quantitative research. The program is open to all students irrespective of their major. However, interested students must have completed a course on statistical methodology equivalent to UNCG course STA 271 or higher.

UNCG Undergraduate Research and Creativity Award

The UNCG Undergraduate Research and Creativity Award (URCA) is designed to help faculty and students partner in meaningful projects that result in advances in understanding within their discipline. Support can be used to help defray the cost of material expenses and/or related travel, or can be used to provide a stipend for the students. The general URCA program is funded through the indirect costs generated by external grants awarded to UNCG. Many faculty in the department have been successful in securing these awards.

Undergraduate Research Award in Mathematics and Statistics

The Department of Mathematics & Statistics currently provides this opportunity using H. Barton Excellence Professorship Funds.
Contact the Director of Undergraduate Research, Thomas Weighill for details.

External Research Opportunities

Outside of UNCG, students may find numerous experiential learning opportunities including summer Research Experiences for Undergraduates (REUs) at different host institutions or externships or internships with various companies. Contact the Director of Undergraduate Research for assistance in locating available opportunities and preparing applications.

NSF supported REUs

Take look at the list REU Sites: Mathematical Sciences.
Students at all undergraduate levels are encouraged to apply. In addition to the benefit of going through a research experience, these programs typically carry a stipend and provide housing for participants.

Past Programs

We list undergraduate research programs (co)organized by faculty from the Department of Mathematics and Statistics at UNCG.

Math Biology Program 2005 to 2013

Math-Biology at UNCG

The major push for undergraduate research in the Department started in 2005 with the establishment of a math-biology research group by Rychtář, Chhetri, and Gupta from the Department of Mathematics and Statistics, Rueppell and Remington from the Department of Biology, and Crowe from the Office of Undergraduate Research. The group has been funded by two major NSF grants; 0634182 (2006-2010) and 0926288 (2009-2013). Over the years, this research has involved 16 faculty and over 45 undergraduate students. The students and faculty received 33 awards and recognitions, gave over 250 presentations, and published over 40 research articles in major international journals.

REU Mathematical Biology 2014 to 2016

Research Experiences for Undergraduates Program

National Science Foundation funded Research Experiences for Undergraduates Program (REU site for 2014-2016): This NSF-REU is an opportunity for students to engage in research in the summer. During the 10 weeks students get the opportunity to actively participate in all activities, including regular group research meetings to discuss related articles, brainstorm, discuss problems; propose solutions and work toward moving the research forward; write a paper about their research; present (both in written and oral form) to the group about their research project, and present their research at regional/national meeting(s). See the article
All Fun and Game Theory.

National Research Experience for Undergraduates at Bennett College 2013-2015

A National Research Experience for Undergraduates Program at Bennett College was funded by MAA (2013-2015). I This NREUP supports the participation of mathematics undergraduates from underrepresented groups in focused and challenging research experiences to increase their interest in advanced degrees and careers in mathematics.

REU Local Fields and Galois Groups at Elon University 2018

In the local ring \(\mathbb{Z}_5\):

  1. \(\frac{1}{2}\in \mathbb{Z}_5\)
  2. \(\mathbb{Z}_5\) contains only one prime
  3. \(\mathbb{Z}_5\) is complete (with respect to \(|\cdot|_5\))
  4. the multiplicative group \(\mathbb{Z}_5^\times\) is generated by \(\sqrt{-1}\) and \(1+5\)
  5. \(|a|_5\le 1\) for all \(a\in \mathbb{Z}_5\)
Local rings are more fun than the integers.

This NSA supported REU took place at Elon University in North Carolina from June 4 to July 27, 2018. The topic of Local Fields and Galois Groups is an area of pure mathematics that is well suited for undergraduate research. The explicit presentation of local fields make them accessible to undergraduate students, and their applications in number theory and other areas of mathematics make results of the undergraduate research applicable in the research of others. For details see the REU website