Research

I am currently interested in mathematics problems in the fields of Lie Algebra, Combinatorics, and (very recently) graph theory. However, I am open to working on undergraduate projects in other related fields.

I also am working in the field of the Scholarship of Teaching and Learning (SoTL), studying the effects of mastery-based grading (also known as points-free grading).

My dissertation is under the direction of Dr. Kailash Misra and focuses on Demazure crystals associated with the quantum affine algebra U_q(D₄⁽³⁾).

My publications are:

• Comparing Mastery-based Testing with Traditional Testing in Calculus II, International Journal for the Scholarship of Teaching and Learning, 2020, Volume 14, no. 2, article 10. DOI: 10.20429/ijsotl.2020.140210.

• Mastery-Based Testing in Undergraduate Mathematics Courses, PRIMUS, 2018, DOI: 10.1080/10511970.2018.1488317.

• A note on U_q(D₄⁽³⁾)-Demazure Modules, Contemporary Mathematics, Volume 623, p. 13-22, 2014 and can be found on the arXiv.

Past student projects that I have advised are:

• Clara Andersen '22: Modeling Major League Baseball Hall of Fame Players

• Garrett Hunter '21: Lineup Optimization Using Markov Chains

• Jessica Skoglund '18: Tracing Cognitive Trends Using Graph Theoretical Approaches

For projects involving statistical analysis in R, I have used DataCamp with my students to help them learn R. DataCamp is the most intuitive learning platform for data science and analytics. DataCamp’s learn-by-doing methodology combines short expert videos and hands-on-the-keyboard exercises to help learners retain knowledge. DataCamp offers 350+ courses by expert instructors on topics such as importing data, data visualization, and machine learning. They’re constantly expanding their curriculum to keep up with the latest technology trends and to provide the best learning experience for all skill levels. Join over 6 million learners around the world and close your skills gap.