Sonja Mapes-Szekelyhidi

Associate Professor of the Practice, Director of Undergraduate Studies

Education

Columbia University:

• Ph.D. in Mathematics, May 2009
• M.Phil. in Mathematics, February 2006
• M.A. in Mathematics, May 2004

University of Notre Dame:

• B.S. in Mathematics, magna cum laude, May 2002

Research Group

Algebra and Algebraic Geometry

Research Area

Combinatorial Commutative Algebra

Bio

Research Interests

My main research interest is combinatorial commutative algebra with a focus on free resolutions of monomial ideals, and toric ideals. I am also interested in connections to algebraic geometry and tropical geometry.

Selected Publications

• "Rigid monomial ideals", preprint, arXiv:1102.2243
• "Finite atomic lattices and resolutions of monomial ideals", preprint, arXiv:1009.1430v1.
• "Finite atomic lattices and their relationship to resolutions of monomial ideals", Ph.D. Thesis, Columbia University, May 2009.
• "Constructing almost excellent unique factorization domains" (with John Bryk, Charles Samuels, Grace Wang), Communications in Algebra 2005 33 (5) 1321-1336.