This is the webpage for the Commutative Algebra research group at Nebraska.
The NSF RTG Grant DMS-2342256 Commutative Algebra at Nebraska supports activities for undergraduates, graduate students, and postdocs in commutative algebra. More about the activities supported by this RTG grant can be found on our YouTube Channel.
Nawaj KC (advisor: Jack Jeffries and Mark Walker). Now a postdoc at the University of Utah.
Shah Roshan Zamir, RTG Graduate Trainee Spring 2025 and Summer 2025 (advisor: Alexandra Seceleanu). Now a postdoc at Tulane University.
Ryan Watson, RTG Graduate Trainee Summer 2025, Fall 2025 (advisor: Eloísa Grifo). Now a postdoc at the University of Hawaii-Mānoa.
Programs
RTG Seminar
Each RTG postdoc will run a year-long research seminar in their
second year (years 2, 3, and 5), vertically integrating their
research and teaching activities with those of our faculty and
graduate trainees. The RTG seminar will have a year-long focus
on an area of current interest. The Fall semester will be
centered on covering the background, and the Spring semester
will be a workshop in which students, postdocs, and faculty
work together on research problems. The goal will be to
publish original results or expository papers in a suitable
journal, with work continuing beyond the academic year.
Participants will produce materials to be publicly shared
on the RTG website, including lecture notes from seminar talks.
The RTG postdoc will co-direct their RTG seminar with a
faculty member. They will choose a topic in which the postdoc
has some experience, and they will co-direct the discussions
and the selection of problems to consider. The postdoc will
gain experience as a research mentor for students. By
including others in their program, the RTG seminar will
accelerate the postdoc's research; the faculty advisor
will help ensure that the postdoc is not sacrificing their
own research program in the process.
Participation in the RTG seminar will be open to anyone
who is interested, though RTG graduate trainees will take
a central role and be required to give talks. The co-directors
will help students prepare their talks. This will help graduate
students transition from learning to research, further their
communication skills, and help advanced students expand the
breadth of their research.
Ryo Takahashi
(Nagoya University): February 2025 (Seminar talk: "Proxy small thick
subcategories of derived categories")
Ben Briggs
(Imperial College London): March 2025
(Seminar talk: "Moment angle manifolds and linearity over monomial
rings")
Sudhir Ghorpade (Indian
Intitute of Technology): April 2025 (Seminar talk: "Some Interactions
between Coding Theory and Commutative Algebra")
Des
Martin (Syracuse University):
April 2025
(Seminar talk: "Implications of a Free Conormal Module")
Maria Akter (University of Alabama):
October 2025
(Seminar talk: "m-adic Continuity of Frobenius Splitting Ratio")
Vignesh Jagathese (University of Illinois at Chicago):
October 2025
(Seminar talk: "Quasi-F-Purity, F-Pure Thresholds, and Arithmetic Supersingularity")
Paolo Martins (University of São Paulo):
October 2025
(Seminar talk: "Quasi-homological dimensions")
Colin Crowley (University of Oregon):
November 2025
(Seminar talk: "Orlik-Terao algebras and cohomology of configuration spaces")
Havi Ellers (University of Michigan):
February 2026
(Seminar talk: "HSL numbers of toric face rings: on the nilpotency of Frobenius on local cohomology")
Aryaman Maithani (University of Utah): February 2026 (Seminar talk: "Polynomial invariants of GL2: Conjugation over finite fields")
Marta Benozzo (Université Paris-Saclay): February 2026 (Seminar talk: "Some hypersurface singularities over the p-adic integers")
Mahrud Sayrafi (McMaster):
March 2026
(Seminar talk: "Extensions and Exceptional Collections on Projective Varieties")
Jonathan Pérez Juarez (UNAM): April 2026
Christopher Wong (University of Kansas): April 2026 (Seminar talk: "The Bernstein-Sato Polynomial and Numerical Semigroup Rings")
Professional Development Workshop
In 2025, 2027, and 2029, we will host Summer CAMP, a workshop for graduate
students and postdocs in algebra (broadly construed) from across
the US. We will focus on professional development with the aim
of equipping participants with practical tools they need to be
as competitive as possible in the job market, both for academic
and nonacademic career paths. Activities will include workshops
on curating websites, creating job application materials,
crafting elevator pitches for mathematicians and the general
public, and framing the broader impacts of one's research
within societal and world challenges. It will also include
panels with junior and senior faculty members, including
someone who has served on a search committee, and a nonacademic mathematician.
This REU will be held at CIMAT, in Guanajuato, Mexico, in Summer 2025 and Summer 2028.
This program will enable 10 US citizen undergraduate students
recruited from institutions across the US to interact with commutative
algebra experts from the US and Mexico and experience international research collaboration.
Participants and mentors in the 2025 International REU in Commutative Algebra
First Generation First Year Research Experience for Undergraduates (REU)
Each summer, four undergraduates who are first generation college students
will participate in a 4-week long program. Students will be introduced
to the basics of proof writing, coding, and relevant foundational material,
and work on a small research question. Preference will be given to
incoming freshmen, with the goal of maximizing retention. The REU
students will be primarily guided by two of the RTG Graduate Trainees,
with support from a faculty member. Several of our current graduate
students are first generation college students, and they would be
excellent role models and mentors for the REU students; this will
also be a professional development opportunity for the RTG Trainees.
