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Research

My research interests include commutative algebra, computational algebra, combinatorics, and graph theory.

Here are my publications.

Publications:
Local Cohomology and Degree Complexes of Monomial Ideals (2019). (submitted)


Symbolic Powers of Edge Ideals of Graphs (2018), with Yan Gu (Soochow University, Suzhou), Huy Tài Hà, and Joseph Skelton. (submitted)

Additionally, my Macaulay2 code was cited in Symbolic powers of monomial ideals and Cohen-Macaulay vertex-weighted digraphs by Philippe Gimenez, Jose Martínez-Bernal, Aron Simis, Rafael H. Villarreal, and Carlos E. Vivares.

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Introduction

My name is Jonathan O'Rourke, and I am a fifth-year mathematics Ph.D. candidate at Tulane University. My main research interests are commutative algebra, computational algebra, combinatorics, and graph theory.