Rebecca R.G.


Philip T. Church Postdoctoral Fellow
Mathematics Department
Syracuse University

313C Carnegie Library (mail to 215 Carnegie Library)
Syracuse, NY 13244

e-mail: rirebhuh (at) syr (dot) edu

arXiv site: http://arxiv.org/a/rg_r_1

I am a postdoc at Syracuse University, studying commutative algebra. I received my PhD from the University of Michigan in Summer 2016, under the guidance of Mel Hochster. I'm interested in closure operations, particularly those with similar properties to tight closure, and big Cohen-Macaulay modules and algebras.
 




Papers:

Closure operations that induce big Cohen-Macaulay modules and classification of singularities, J. Algebra 467 (2016), 237-267.
Closure operations that induce big Cohen-Macaulay algebras, to appear in Journal of Pure and Applied Algebra, arXiv:1512.07862
Big Cohen-Macaulay and seed algebras in equal characteristic zero via ultraproducts, with Geoffrey D. Dietz, to appear in Journal of Commutative Algebra, arXiv:1608.08193
F-singularities under generic linkage, with Linquan Ma, Janet Page, William Taylor, and Wenliang Zhang, to appear in Journal of Algebra, arXiv:1607.03972

Upcoming Talks:

AMS Fall Central Sectional Meeting 2017, Denton, TX, Special Session on Homological Methods in Commutative Algebra
JMM 2018, AMS Special Session on Commutative Algebra in all Characteristics
AMS Spring Northeastern Sectional Meeting 2018, Boston, MA, Special Session on Homological Commutative Algebra

Previous talks:

The Prospects for Commutative Algebra, Osaka, Japan, July 2017, Wine and Cheese Talk. Test Ideals for all characteristics.
AMS Spring Southeastern Sectional Meeting 2017 Special Session on Commutative Algebra. Directed families of big Cohen-Macaulay algebras in equal characteristic.
JMM 2017, AMS Special Session on an Amicable Combination of Algebra and Number Theory. Using closure operations to study singularities.
CMS Winter Meeting 2016, Special Session on Recent Advances in Commutative Algebra. Directed families of big Cohen-Macaulay algebras in equal characteristic.
Algebra Seminar, Syracuse University.
Poster at Midwest Commutative Algebra and Algebraic Geometry Conference at Notre Dame.
AMS Spring Central Sectional Meeting 2016, Fargo, ND, AMS Special Session on Commutative Ring Theory. F-singularities under generic linkage.
Poster at Southwest Local Algebra Meeting 2016.
JMM 2016, AMS-AWM Special Session on Commutative Algebra and its Interactions with Algebraic Geometry. Closure operations that induce big Cohen-Macaulay modules and algebras, module closures, and classification of singularities.
Commutative Algebra Seminar, University of Virginia.
Algebra Seminar, University of Texas at Austin.
AMS Fall Western Sectional Meeting 2015, Fullerton, CA, AMS Special Session on Homological Methods in Commutative Algebra. Closure operations that give big Cohen-Macaulay modules and algebras.
Commutative Algebra Seminar, University of Michigan.
Commutative Algebra Seminar, Georgia State University.
AMS Fall Central Sectional Meeting 2015 Special Session on Commutative Algebra Closure operations that induce big Cohen-Macaulay modules and algebras. Slides are available here.
Poster at 2015 Midwest Commutative Algebra Conference at Purdue. An image of the poster is available here.
Kumunu Jr 2015. Slides are available here.
AMS Spring Eastern Sectional Meeting 2015 Special Session on Closure Operations in Commutative Algebra  Closure operations that induce big Cohen-Macaulay modules and algebras, and smallest closures . Same slides as Kumunu Jr talk above.

Teaching and Outreach:

Courses Taught:

Fall 2017:
Math 285/Calculus 1 for Life Sciences, Section 002
Math 593/History of Math

Spring 2017:
Math 285/Calculus 1 for Life Sciences, Sections 002 and 006

Fall 2016:
Math 295/Calculus 1, Sections 002 and 006

At the University of Michigan, I was a graduate student instructor for the following courses:
Math 115/Calculus 1 (Fall 2012, Winter 2013)
Math 116/Calculus 2 (Fall 2014)
Math 215/Multivariable Calculus (Winter 2015)

I was also a TA at the following:

Michigan Math and Science Scholars: Summer 2014, Cryptography and Fibonacci Numbers courses; Summer 2015, Mathematics and Art
Summer Program for Women in Mathematics at George Washington University, Summer 2013

Training and Certification:

I attended a workshop at DePaul University in June 2017 through the Academy for Inquiry-Based Learning. A description of the workshop is available here.

I received a Graduate Teacher Certificate from the University of Michigan in Fall 2016. Details on this program are available here.

Outreach:

I spoke at the Syracuse University Math Club in Fall 2016. I was an invited graduate student at the 18th annual Nebraska Conference for Undergraduate Women in Math. I gave two talks at the undergraduate math club at the University of Michigan, and I have run several Math Circles for middle school and high school students.

Seminars:

I ran the Student Commutative Algebra seminar at the University of Michigan from Fall 2013-Winter 2016, sometimes with Zhibek Kadyrsizova.