Juliette Bruce

My interests lie toward the algebraic side of things, with my current research being somewhere in the intersection of commutative algebra, algebraic geometry, and number theory. While my interestes are quite widespread three themes that run throughout most of my projects are: 1) describing algebraic phenomea asymtoptically, 2) working interdisipinarily, and 3) the use and substantial computation often in Macaulay2.

Both of these themes are present in my current research projects, which revolve around studying the syzygies of algebraic varieties. For example, in one ongoing project I have been exploring the asymtoptic behavior of sysyzgies trying to generalize existing conjectures from the ample setting to the semi-ample case. In a second project I am working to try and understand the Betti tables of rational curves. 

Bruce
Juliette
Graduate Fellow
Research Interests: 
Algebraic Geometry, Commutative Algebra, Number Theory
web_page: 
https://juliettebruce.github.io
papers_url: 
https://arxiv.org/abs/1701.03200
https://arxiv.org/abs/1604.01704
https://arxiv.org/abs/1804.11015
https://arxiv.org/abs/1711.03513
person_type: 
Graduate
working_with: 
Erman
display: 
Yes