CURI Academic Year Student Research - Gandini

St. Olaf Student • Northfield, MN

6d • $12 - $13

About The Position

Students work together with a faculty member on scholarly or artistic pro In Abstract Algebra 1 you have encountered groups and rings, but what happens when algebraic structures interact with each other? With Russ Woodroofe, I have been studying the intersection posets of subspace arrangements arising from graphs of group actions. For the regular action of a supersolvable group, we know that the poset is shallable. We conjecture that this is true for all permutation actions. If not, what additional conditions on the group are needed? What about any action of a supersolvable group? Students would start learning about group actions, posets, and shellings and then try to study small groups and actions and try to find an explicit shelling of the subspace action arrangement poset. In GAP (a Computer Algebra System) we have some rudimentary code that can generate the posets, but this would need to be improved if one hopes to use the pictures that are generated to be useful for a labelling. One way to approach this is to induce a labelling of the vertices from the coset poset (i.e., the poset for the regular action) and use it to build a shelling on the subposet.

Requirements

• A student interested in applying for the CURI academic year program must be enrolled as an on-campus St. Olaf student.
• There is no GPA requirement that must be met in order to apply for the program, but a student’s academic record will be considered during the selection process.
• Skills are dependent on individual projects.
• If you don’t have a work award and select, No, to the application questions your application will be automatically rejected by the system.
• If you apply and are rejected please contact Erin Eltonga to resolve this for you.

Responsibilities

• Each project has its own timing, as determined by the individual faculty mentor.
• See the CURI Digital Olaf database for individual project descriptions and details or talk to the Faculty mentor.

What This Job Offers

• Job Type: Part-time
• Career Level: Entry Level
• Education Level: No Education Listed