##### Research Interests
My research is in commutative algebra and algebraic geometry. I am particularly interested in minimal free resolutions over polynomial rings, and connections with representation theory and combinatorics. I am also interested in computational methods in commutative algebra.
##### Publications
 12 Betti numbers of symmetric shifted ideals (with J. Biermann, H. De Alba, S. Murai, U. Nagel, A. O'Keefe, T. Römer, and A. Seceleanu) arXiv:1907.04288 11 Betti numbers of toric ideals of graphs: A case study (with J. Hofscheier, G. Keiper, C. Kohne, M.E. Uribe-Paczka, and A. Van Tuyl) To appear in J. Algebra Appl. - arXiv:1807.02154 10 The symbolic defect of an ideal (with A.V. Geramita, Y.S. Shin, and A. Van Tuyl) To appear in J. Pure Appl. Algebra - arXiv:1610.00176 9 On the ideal generated by all squarefree monomials of a given degree To appear in J. Commut. Algebra - arXiv:1609.06396 8 Degrees of regular sequences with a symmetric group action (with A.V. Geramita and D.L. Wehlau) To appear in Canad. J. Math. - arXiv:1610.06610 7 Geometry of Hessenberg varieties with applications to Newton-Okounkov bodies (with H. Abe, L. DeDieu, and M. Harada) Selecta Math. (N.S.), 24(3):2129-2163, 2018 - arXiv:1612.08831 6 Symmetric complete intersections (with A.V. Geramita and D.L. Wehlau) Comm. Algebra, 46:5, 2194-2204, 2018 - arXiv:1604.01101 5 Distinguishing $$\Bbbk$$-configurations (with Y.S. Shin and A. Van Tuyl) Illinois J. Math., 61(3-4):415--441, 2017 - arXiv:1705.09195 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
##### Software
 BEMultipliers, Buchsbaum-Eisenbud multipliers package for Macaulay2 Points, ideals of points package for Macaulay2 HighestWeights, equivariant resolutions package for Macaulay2
##### Expository
 Betti numbers with a dash of representations, CMS Notes 50, no. 1, 16, 2018
##### Select Talks
 Betti numbers of symbolic powers of star configurations CMS Winter Meeting 2018, Vancouver, BC The symbolic defect of an ideal AMS Spring Central Sectional Meeting 2018, Ohio State University, Columbus Distinguishing k-configurations Mathematics Colloquium 2017, Dalhousie University Towards Newton-Okounkov bodies of Hessenberg varieties AMS Spring Western Sectional Meeting 2017, Washington State University, Pullman Symmetric complete intersections AMS Spring Southeastern Sectional Meeting 2016, University of Georgia, Athens Equivariant resolutions of De Concini-Procesi ideals Joint Mathematics Meetings 2015, San Antonio, TX An algorithm for determining actions of semisimple Lie groups on free resolutions Combinatorial Algebra meets Algebraic Combinatorics 2014, Dalhousie University Free resolutions and representations with finitely many orbits Algebraic Geometry Seminar 2013, Queen's University Algorithms for irreducible decomposition of monomial ideals Graduate Student Seminar 2012, Northeastern University Risoluzioni libere di ideali determinantali Welcome Home Workshop 2011, Università degli Studi di Torino Generalized Tanisaki ideals and the cohomology of Hessenberg varieties Graduate Student Seminar 2011, Northeastern University Grassmannians and cluster algebras Topics in representation theory 2009, Northeastern University An introduction to Hodge algebras Tapas Seminar 2009, Northeastern University
##### Ph.D. Dissertation
 Free resolutions of orbit closures for representations with finitely many orbits PDF - M2 files - arXiv:1210.6410