# Sonja Mapes-Szekelyhidi

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#### Assistant Professor of the Practice, Director of Undergraduate Studies

#### Assistant Professor of the Practice, Director of Undergraduate Studies

**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

Email: smapes1@nd.edu

Office: 228 Hayes-Healy Hall

Phone: (574) 631-7586

Fax: (574) 631-6579

For additional information see Sonja Mapes-Szekelyhidi's Personal Page.

**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.

Please direct questions and comments to: smapes1@nd.edu