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Research
My primary research interests are in Commutative Algebra and in particular:
- Closure/Interior operations and related structures
- Tight Closure, Integral Closure and Basically Full Closure
- Local Cohomology
- Singularity Theory
Curriculum Vita
Publications
Teaching:
Fall 2026:
MATH 322 Modern Algebra
MATH 533 Algebraic Topology II: Discrete Morse Theory
Previous Courses
Postdoctoral Mentoring:
Olivia Strahan, August 2025 --
Shuai Wei, August 2022-May 2025.
Doctoral Students:
Benjamin Betts, Spring 2025 --
Sarah Poiani, Ph.D. May 2024.
Gregory Morre, Ph.D. August 2016.
Bryan White, Ph.D. May 2014.
MS Students:
Jiekai Pang, M.S., August 2024.
Perla Maldonado, M.S. December 2022.
Ryan Bridges, M.S. August 2020.
Paige Mankey, M.S., December 2015.
Laurie Price, M.S., December 2011.
Undergraduate Students:
Chayton Castruita, B.S., May 2026.
Cordelia Russell, B.S., May 2025.
Hannah Butler, B.S., December 2016.
Andrew Baxter, B.S., May 2014.
High School Students:
John Keeney, Rio Rancho High School, 2015-2016.
Ruby Aidun, Albuquerque High School, 2014-2015.
Evan Liu, Albuquerque Academy, 2012-2013.
Katherine Cordwell, Manzano High School, 2011-2012.
Mathematics webpoints of interest:
American Mathematical Society
MathSciNet
ArXiv
The Front
commalg.org
AWM
Math Genealogy
Penn's Math Around the World
Mathematics on the Web
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