Important Info for Students

Spring 2021

  • Modern Algebra (Math 325): 8:30am, 9:40am MWF – via Zoom
  • Office Hours: MW 2-3:50pm, and by appt – via Congregate

Office Hours (via Congregate; password required) Book a Meeting

Courtney R. Gibbons

Courtney R. Gibbons

Associate Professor of Mathematics

Hamilton College

Biography

Professor Courtney Gibbons joined the faculty at Hamilton College in July, 2013 and is currently an associate professor of mathematics. She studies commutative and homological algebra, and her primary research interest is the study of infinite free resolutions (often through the lens of Boij-Soderberg theory). Gibbons also has a secondary interest in algebraic statistics (particularly maximum likelihood degree of toric varieties arising from statistical models). Since coming to Hamilton College, Professor Gibbons has supervised a handful of commutative algebra undergraduate research projects at Hamilton and the Willamette Valley Mathematics Consortium REU.

Daughter of a jazz musician and public school teacher, Professor Gibbons grew up near New Haven, CT; she attended public schools in West Haven, Woodbridge, and Bethany, CT and earned her diploma from Amity High School in 2000. In 2006, she graduated Summa Cum Laude with her B.A. in mathematics with disctinction from the Colorado College in Colorado Springs, CO. Subsequently, she worked for CC’s Math and Computer Science Department for a year after graduation as a paraprofessional. In 2009 and 2013 respectively, she earned her M.S. and Ph.D. in mathematics from the University of Nebraska-Lincoln.

In addition to being a multiply-certified math nerd and a reformed college dropout, Professor Gibbons likes to rock climb, argue about notation, and snuggle with cats.

Interests

  • Commutative Algebra
  • Homological Algebra
  • Algebraic Statistics

Education

  • PhD in Commutative Algebra, 2013

    University of Nebraska--Lincoln

  • MS in Mathematics, 2009

    University of Nebraska--Lincoln

  • BA in Mathematics, 2006

    Colorado College

Courses

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Recent Publications

(2020). Mentoring Undergraduate Research: Advanced Planning Tools and Tips. Notices of the American Mathematical Society.

PDF

(2017). Recursive strategy for decomposing Betti tables of complete intersections. arXiv:1911.03566.

Preprint

(2017). Recursive strategy for decomposing Betti tables of complete intersections. Internat. J. Algebra Comput..

Preprint PDF DOI

Recent & Upcoming Talks

The Real Friends are the Betti Numbers We Calculated Along the Way

Ever wondered what your life might have been like if you chose differently in the past? This talk is about how I nearly became a geometric group theorist – until I saw homological algebra used to prove theorems about modules. My emphasis will be on what Betti numbers are, a …

Syzygy: When Submodules Align

In astronomy, a syzygy is an alignment of celestial bodies. In mathematics, a syzygy is an alignment of a kernel of one homomorphism with the image of another! In this talk I’ll introduce free resolutions, syzygies, and a few applications thereof.

Boij-Soederberg Theory as an Introduction to Research in Commutative Algebra

Commutative algebra is ripe with topics for undergraduate research, and I will discuss one such topic: Boij-Soederberg theory. I will focus on specific results from two undergraduate research projects I mentored in this context, including how I developed the projects to dovetail …

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