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Mathematics Department
 

Mark HuibregtseMark Huibregtse portrait

Professor of Mathematics
Class of 1964 Term Professor, 2009-2014

Office: Harder Hall 216
Telephone: (518) 580-5289
Fax: (518) 580-5295 or (518) 580-5936
Email #1: mhuibreg@skidmore.edu
Email #2: huibregm@member.ams.org
Personal Web Page: Mark Huibregtse

Curriculum Vitae

Professor Huibregtse teaches mathematics and computer science courses in the department. He received his Ph.D. in mathematics from the Massachusetts Institute of Technology and completed a Master’s-level program at the Institute for Retraining in Computer Science at Clarkson University. His research specialty is algebraic geometry, an area in which he has published a number of papers. Prof. Huibregtse has been active, along with other colleagues in the department, in trying to improve pedagogy through appropriate use of technology and alternative modes of learning and teaching. In 1996, Prof. Huibregtse completed five years of service as chair of the department. Outside Skidmore, Prof. Huibregtse is a spouse, parent, and member of the Methodist Church's chancel choir.

Education

Teaching Experience

Publications

Unpublished Manuscripts

Research Presentations

  1. Product Schemes with Group Action and Secant Sheaves on Quotients, AMS Contributed Paper Session, Orono , ME , August 1991.
  2. Quotients of G-Stable Subschemes: Questions of Embedding and Cartesian-ness, a series of two talks given to the Capital Region Algebra and Number Theory Seminar, 29 October and 12 November 1991, Union College.
  3. Quotients of G-Stable Subschemes, Cartesian Diagrams, and Embeddings, AMS Session on Algebraic Geometry and Applied Group Theory, San Antonio, TX, January 1993.
  4. Symmetrized Differentials on Hilbert Schemes of Points, preliminary report, AMS Session on Algebraic Geometry, Cincinnati , OH , January 1994.
  5. Symmetrized Differentials and Secant Sheaves on Hilbert Schemes of Points, AMS Session on Algebraic Geometry, San Francisco, CA, January 1995.
  6. An expanded version of the previous talk was presented to the CRANTS seminar at Union College, March 1995.
  7. The First Degeneracy Locus of the Map Sec(\Omega^1_X) à Sec(\Omega^1_{H^n_X}) for an Algebraic Surface X, AMS Session on Commutative Algebra and Algebraic Geometry, Orlando, FL, January 1996.
  8. On the Tangent Space at a k-point of Hilb^n_X for an Algebraic Surface X, AMS Session on Algebraic Geometry, San Diego, CA, January 1997.
  9. An Introduction to Hilb^n_{A^2_k} and to Some of its Local Charts, Geometry, Algebra, and Topology (GAT) Seminar, Texas A&M University , 24 November 1997.
  10. Some Amplifications and a Correction of Iarrobino’s Construction of Local Parameters on Hilb^n_{P^2_k}, AMS Session on Algebraic Geometry and Fields, Baltimore , MD , January 1998.
  11. A Description of Certain Affine Open Subschemes That Form an Open Covering of Hilb^n_{A^2_k}, AMS Session on Algebraic Geometry, Joint AMS-MAA Winter Meetings at San Antonio, TX, 15 January 1999.
  12. Open subschemes of Hilb^n_{A^2_k} that are isomorphic to A^{2n}_k, AMS Session on Algebraic Geometry, Joint AMS-MAA Winter Meetings at Washington , DC , 19 January 2000.
  13. An elementary construction of certain affine open subschemes of the Hilbert scheme of n points of the affine plane (Preliminary report), AMS Session on Algebraic Geometry and Linear Algebra, Joint AMS-MAA Winter Meetings at New Orleans, LA, 13 January 2001.
  14. A description of certain affine open subschemes that form an open covering of the Hilbert scheme of n points of the affine plane, a series of two talks presented to the CRANTS seminar meeting at Union College , 7 and 21 March 2001.
  15. An elementary construction of an open affine covering of the Hilbert scheme of points of an affine space, AMS Special Session on Hilbert Schemes, AMS Regional Meeting #979, Northeastern University , Boston , MA , 6 October 2002.
  16. On Ellingsrud and Strømme's explicit description of a cell decomposition of the Hilbert scheme of points of the affine plane, AMS Session on Algebraic Geometry and Algebra, Joint AMS-MAA Winter Meetings in Baltimore, MD, 17 January 2003.
  17. The cotangent space at a monomial ideal of the Hilbert scheme of points of an affine space, AMS Session on Algebra, Joint AMS-MAA Winter Meetings in Atlanta , GA , Wednesday, 5 January 2005.
  18. An elementary construction of the Hilbert scheme of points of an affine space, Union College Occasional Mathematics Conference, 3 December 2005.
  19. Smooth monomial-ideal points of the Hilbert scheme of points of an affine space, AMS Session on Algebraic Geometry, Joint AMS-MAA Winter Meetings in San Antonio , TX , 13 January 2006.
  20. An elementary construction of the Hilbert scheme of points of an affine space, presented to CRANTS seminar at Skidmore on 6 December 2006.
  21. Some syzygies of the generators of the ideal of a border basis scheme, AMS Session on Algebraic Geometry and K-Theory, Joint AMS-MAA Winter Meetings in Washington , DC , 8 January 2009.
  22. Some Elementary Components of the Hilbert Scheme of Points, AMS Session on Algebraic Varieties, Moduli Spaces, and Singularities, AMS-MAA Joint Mathematics Meetings in San Diego, CA, 12 January 2013.
  23. A generalization of Emsalem and Iarrobino's construction of elementary components of the Hilbert scheme of points, AMS Special Session on Commuting Nilpotent Matrices and the Hilbert Scheme, AMS Regional Meeting # 1088 at Chestnut Hill, MA, Sunday, 7 April 2013, 10:30-10:50 a.m., talk # 1088-14-89.

Other Presentations

  1. Choosing the k-th Largest Element: a k-th Study in Algorithm Design and Analysis, Skidmore Mathematics and Computer Science Colloquium, 17 November 1987.
  2. ISETL and Mathematical Programming: Why Would I Settle For Less?, Skidmore Mathematics and Computer Science Colloquium, 16 March 1989.
  3. The Rise and Fall of Euclidean Geometry, MAA Special Session on Using History in the Teaching of Mathematics, San Francisco, CA, January 1991.
  4. Served as panelist for a discussion: What is the Mathematical Research Experience?, Regional Geometry Institute, Amherst College , July 1992.
  5. An Explicit Computation of an Invariant Subring of a Polynomial Ring, Hudson River Undergraduate Mathematics Conference, Siena College , April 1994.
  6. Demonstrating Space-Filling Curves with Derive: A Cautionary Tale?, Hudson River Undergraduate Mathematics Conference, Siena College , April 1995.
  7. Mathematica Programming, presented as part of a departmental workshop on Mathematica, 31 May 2001.
  8. The Banach-Tarski Paradox I: Preliminaries, Hudson River Undergraduate Mathematics Conference, Union College , April 2009. (This was an introduction to the talk by my thesis student Rozalina Zlatareva, titled The Banach-Tarski Paradox II: Outline of Proof.)
  9. The Merkle-Hellman Cryptosystem, Hudson River Undergraduate Mathematics Conference, Keene State University, April 2010.
  10. Equidistant sets of curves, Hudson River Undergraduate Mathematics Conference, St. Michael’s College, Colchester, VT, April 2016.

Memberships

  1. American Association of University Professors (AAUP)
  2. American Mathematical Society (AMS)
  3. Mathematical Association of America (MAA)
  4. Council on Undergraduate Research
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