Luke Reifenberg is currently writing a thesis in algebraic geometry with the Department of Mathematics, advised by Dr. Juan Migliore.

In the summer of 2019, Reifenberg traveled to Calais, France, with funding from the Hesburgh-Yusko Scholars Program, the Glynn Family Honors Program, and the Center for the Study of Languages and Cultures. While in Europe, Reifenberg conducted interviews and assisted several charities in providing direct humanitarian aid to refugees in Northern France.

During the summer of 2020, Reifenberg participated in the Summer Service Learning Program partnering with the education-based non-profit organization Guadalupe Center to teach (online) music lessons to children living in Immokalee, Florida.

In the summer of 2021, Reifenberg won a Boren Scholarship, a U.S. federal government award to study foreign languages critical to U.S. security, specifically to study Chinese in Taiwan. He declined the award in order to participate in the NSF-funded REU at Williams College (“SMALL”), doing in-person research in number theory and probability.

Juan Migliore

Thesis Title: On the Cayley/Bacharach Theorem

Glynn Family Honors Program
Thematic Interests

Reifenberg is interested in mathematics, particularly in its applications to computer science.

Current Research

Reifenberg is currently writing a thesis under Professor Migliore on the Cayley-Bacharach Theorem, an important theorem in algebraic geometry. The thesis is currently expository, but if by some miracle any progress on a meaningful, related open problem is made, then the thesis will be focused on that.

Other Accomplishments & Recognitions
  • 2021 - Boren Scholar; provides support to undergraduates pursuing the study of languages and cultures currently underrepresented in study abroad programs and critical to national security