My research is in the fields of commutative algebra, representation theory and algebraic geometry. I am particularly interested in equivariant minimal free resolutions of ideals and modules over polynomial rings. I am also interested in algorithms and computational methods, and I often use mathematical software such as Macaulay2.

10. | Distinguishing k-configurations (with Y.S. Shin and A. Van Tuyl) arXiv:1705.09195 |

9. | Geometry of Hessenberg varieties with applications to Newton-Okounkov bodies (with H. Abe, L. DeDieu, and M. Harada) arXiv:1612.08831 |

8. | Degrees of regular sequences with a symmetric group action (with A.V. Geramita and D.L. Wehlau) arXiv:1610.06610 |

7. | The symbolic defect of an ideal (with A.V. Geramita, Y.S. Shin, and A. Van Tuyl) arXiv:1610.00176 |

6. | On the ideal generated by all squarefree monomials of a given degree arXiv:1609.06396 |

5. | Symmetric complete intersections (with A.V. Geramita and D.L. Wehlau) arXiv:1604.01101 |

4. | Generators of truncated symmetric polynomials J. Pure Appl. Algebra, 221(2):276–285, 2017 - arXiv:1011.6068 |

3. | Propagating weights of tori along free resolutions J. Symbolic Comput., 74:1-45, 2016 - arXiv:1406.1900 |

2. | Free resolutions and modules with a semisimple Lie group action J. Softw. Algebra Geom., 7(1):17–29, 2015 |

1. | Computational Methods for Orbit Closures in a Representation with Finitely Many Orbits Exp. Math., 23(3):310–321, 2014 |

Free resolutions of orbit closures for representations with finitely many orbits

PDF - M2 files - arXiv:1210.6410

PDF - M2 files - arXiv:1210.6410

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