Rebecca R.G.
- Associate Professor
Contact Info
- Name
- Dr. Rebecca R.G.
- Job Title
- Associate Professor
- Website
- Office Number
- Exploratory Hall, Room 4406, MSN 3F2
Affiliations
Departments
- Mathematical Sciences Department (Research Faculty)
Research Areas
- Math
Education
- PhD, Mathematics, University of Michigan, (2016).
- BA/MA, Mathematics, Bryn Mawr College, (2011).
About
Dr. R.G. is an Assistant Professor in the mathematics department at GMU. She does research in commutative algebra and teaches a variety of courses, including graduate algebra, geometry, abstract algebra, and history of math.
Current Research
Dr. R.G. studies commutative Noetherian rings, especially big Cohen-Macaulay modules and algebras, closure operations, classifying singularities, and free resolutions over hypersurface rings.
Selected Publications
- Cohen-Macaulay test ideals over rings of finite and countable Cohen-Macaulay type (with Julian Benali and Shrunal Pothagoni), Involve: A Journal of Mathematics, 14 (2021), no. 3, p. 413-430, arXiv: 2103.02529.
- Characteristic-free test ideals (with Felipe P\'{e}rez), Trans. Am. Math. Soc. Ser. B, 8 (2021), p. 754-787, arXiv:1907.02150.
- The resolution of (x^N,y^N,z^N,w^N) over the hypersurface k[x,y,z,w]/(x^n+y^n+z^n+w^n) (with Andrew R. Kustin and Adela Vraciu), J. Algebra, 590 (2022), p. 338-393.
- Closure operations that induce big Cohen-Macaulay modules and classification of singularities, J. Algebra, 467 (2016), p. 237-267, arXiv:1512.06843
- F-singularities under generic linkage (with Linquan Ma, Janet Page, William Taylor, and Wenliang Zhang), J. Algebra, 505 (2018), p. 194-210, arXiv:1607.03972
- Closure operations that induce big Cohen-Macaulay algebras, J. Pure Appl. Algebr., 222 (2018), p. 1878-1897, arXiv:1512.07862
- Big Cohen-Macaulay and seed algebras in equal characteristic zero via ultraproducts (with Geoffrey D. Dietz), J. Commut. Algebr., 11 (2019), no. 4, p. 511-533, arXiv:1608.08193.
Awards
- AMS-Simons Travel Grant, 2019
- CHSS Internal Award for Team-Taught Course on History of Mathematics, 2019
- Project NExT Fellow, Mathematical Association of America, 2018
- AWM Mathematics Travel Grant, February 2017
- NSF Graduate Research Fellowship, Awarded 2011
Contact Info
- Name
- Dr. Rebecca R.G.
- Job Title
- Associate Professor
- Website
- Office Number
- Exploratory Hall, Room 4406, MSN 3F2