Diagonally F-regular Cartier Algebras
Dylan Johnson, Co-advised with Daniel Smolkin
June 2018 - August 2019

We are investigating which toric varieties are diagonally F-regular. Dylan prepared a poster for the University of Utah undergraduate research symposium and slides for a talk he gave at the JMM in 2019.

Diagonal F-regularity of Hibi Rings
Winston Stucki
January 2020 - present

We are attempting to generalize the work with Dylan Johnson and Daniel Smolkin to show that all Hibi rings are diagonally F-regular.

Improved Algorithm for Computing the Ideal of Minors in Macaulay2
Boyana Martinova, Co-advised with Karl Schwede
January 2019 - August 2019

We are developing and implementing an improved algorithm with multithreading capabilities for computing the ideal of minors in Macaulay2. The current version of the code can be found here. Boyana presented a poster on her work at the University of Utah ACCESS Symposium 2019.

Directed Reading

Goedel, Escher, Bach by Douglas Hofstadter
Hannah Slind
January 2019 - August 2019