My research interests are in commutative algebra and homological algebra. I am particularly interested in problems related to Koszul homology, resolutions, differential operators, and edge ideals.
Koszul homology of quotients by edge ideals. J.Algebra (2022): journal version arXiv version
A self-dual complete resolution. To appear in J. Algebra Appl (2022): arXiv version
A survey on the Koszul homology algebra. Women in Commutative Algebra (2021): journal version arXiv version
Generators of Koszul homology with coefficents in a J-closed module. J. Pure Appl. Algebra (2020): journal version arXiv version
Resolutions of differential operators of low order for an isolated hypersurface singularity. With Jeffries, Miller, Packauskas, Pollitz, Rahmati, and Vassiliadou. arXiv version
Powers of edge ideals with linear quotients. With undergraduate students Ethan Basser, Allen Mi, and Robert Miranda. In preparation.
Talk: AMS Special Session on Commutative Algebra, Differential Operators, and Singularities. Omaha, NE. October 2023.
Women in Commutative Algebra (WICA) II. Trento, Italy. October 2023.
Morgantown Algebra Days. West Virginia University. Morgantown, WV. April 2023.
Talk: AMS Special Session on Homological Methods in Commutative Algebra. Cincinnati, OH. March 2023.
Talk: JMM AWM Workshop: WiCA. Boston, MA. January 2023.
Talk: AMS Special Session on Combinatorial Commutative Algebra. Chattanooga, TN. October 2022.
Talk: AMS Special Session on Building Bridges between Commutative Algebra and Nearby Areas. Salt Lake City, UT. October 2022
Talk: AMS Special Session on Homological Methods in Commutative Algebra. Medford, MA. March 2022.
ICERM: D-modules, Group Actions, and Frobenius: Computing on Singularities (virtual) August 2021
Talk: AMS Special Session on Commutative Algebra. (virtual) Providence, RI. March 2021.
Talk: AMS Special Session on Differential Graded Methods in Commutative Algebra. (virtual) Atlanta, GA. March 2021.
Talk: AMS Special Session on Homological Methods in Algebra. University Park, PA. October 2020.
Talk: AMS Special Session on DG Methods in Commutative Algebra and Representation Theory. Fresno, CA. May 2020.
Talk: AMS Special Session on Commutative Algebra. Charlottesville, VA. March 2020.
Talk: AMS Special Session on Homological Methods in Commutative Algebra. Medford, MA. March 2020.
Talk: Special Session on Commutative Algebra. JMM. Denver, Co. January 2020.
New York Regional Graduate Mathematics Conference. Syracuse University. 2016, 2017, 2018, 2019