The Algebra of Trace Modules

We'll work on calculating and understanding trace modules over various kinds of commutative rings. The goal of this project is to contribute to the development of modern trace module theory within commutative algebra as part of a larger NSF-funded project "Singularities, Rigidity and Trace Modules". Students will conduct literature searches, learn to use Macaulay2 and other computational software and develop general research skills within "pure" math (e.g. learning how to generate and pursue math research questions). 

 

Name of research group, project, or lab
HMC Lindo Commutative Algebra Group
Why join this research group or lab?

These positions are part of a larger newly NSF-funded project "Singularities, Rigidity and Trace Modules" and will help with the long-term development of an undergraduate commutative algebra group within the Claremont Consortium. Trace Modules themselves are attracting a lot of attention within commutative algebra, with lots of room for undergraduates to develop their own research questions, make meaningful mathematical contributions and/or publish (e.g. https://arxiv.org/abs/1802.06491). The project already has a number of undergrads working on it, so you will be joining a team of students and have the opportunity to work both independently and collaboratively.  

Representative publication
Logistics Information:
Project categories
Mathematics
Student ranks applicable
Sophomore
Junior
Senior
Student qualifications

Abstract Algebra or equivalent (the more algebra the better). 

Working collaboratively with other students.

Commitment to meeting for >=1 hr, at least once a week.

Ability to work independently (with guidance)

Time commitment
Fall - Part Time
Spring - Part Time
Compensation
Paid Research
Number of openings
2
Techniques learned

Commutative and Homological Algebra

How to conduct theoretical/pure math research

Algebraic computations via Macaulay2 or other computational software

Contact Information:
Mentor name
Haydee Lindo
Mentor email
hlindo@hmc.edu
Name of project director or principal investigator
Haydee Lindo
Email address of project director or principal investigator
hlindo@hmc.edu
2 sp. | 6 appl.
Hours per week
Fall - Part Time (+1)
Fall - Part TimeSpring - Part Time
Project categories
Mathematics