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2020 NREUP Projects

  • Project Title: National Research Experience for Undergraduates Program (NREUP)
  • Project Director: Mihhail Berezovski
  • Project Summary: The goal of this NREUP proposal is to provide undergraduates from underrepresented groups with an opportunity to perform data-enabled industrial mathematics research by exposing them to problems outside of academia that are mathematical and data-driven in nature. The overarching learning goal is that the students will have the capability to conduct authentic data-enabled research, based on original real-world problems provided directly by businesses and industry. This experience is expected to enhance students’ overall development and to equip them with data analytics and mathematical modeling abilities, problem solving skills, creative talent, and effective communication necessary for various kinds of employment. This early educational experience will foster students’ interest in data-enabled science, help them to make informed decisions and promote their career development. Students will work in a collaborative effort directly with industrial partners while being mentored by program director.
  • Project Title: Researching the Structure of Graphs from Finite Incidence Geometry with the Aid of Computer Algebra Programs
  • Project Director: Wing Hong Tony Wong & Brian Kronenthal
  • Project Summary: In this project, we concentrate on research problems motivated by finite incidence geometry, with special emphasis on its association with experimental mathematics. Common structures in finite incidence geometry include projective planes, affine planes, and generalized quadrangles. Finite incidence geometry has close relationships with graph theory, combinatorics, abstract algebra, linear algebra, mathematical games, and many other fields. It is deep within the realm of proof-based theoretical mathematics, but to understand finite geometric structures, it is often useful to experiment with concrete examples. The size of these structures grows very quickly, and this is where experimental mathematics and its use of computer algebra programs can play a significant role. Four underrepresented minority students will complete this project over nine weeks during Summer 2020. They will learn how to use computer algebra programs to conduct mathematical investigation, formulate research questions by investigating mathematical structures, finding patterns, and identifying fundamental properties, apply newly-learned knowledge in theoretical mathematics to prove conjectures, and communicate mathematics effectively and confidently in both oral and written form. We anticipate student presentations at mathematical conferences and at least one publication in a peer-reviewed mathematics journal.


Program Contacts

MAA Programs Department