Nic Koban Assistant Professor of Mathematics Office: Brinkman 105 Phone: (207) 778-7117 Email: nicholas.koban@maine.edu

TEACHING

In the Summer of 2008, I will be teaching:

• Math 132 - Precalculus

Past Teaching at the University of Maine at Farmington

I have taught the following courses at UMF:

• Math 120 - Introductory Statistics (Fall 07 and Spring 08)
• Math 132 - Precalculus (Fall 06,Spring 07, Summer 07, and Spring 08)
• Math 141 - Calculus I (Fall 06, Fall 07)
• Math 142 - Calculus II (Summer 07 and Summer 08)
• Math 151 - Foundations of Mathematics (Spring 07)
• Math 304 - College Geometry (Spring 07 and Spring 08)
• Math 403 - Numerical Analysis/Differential Equations (Fall 07)

RESEARCH

My field of interest is topology. I am especially interested in geometric group theory. My research so far has been focused on the Bieri-Neumann-Strebel-Renz geometric invariants Σⁿ of a group. My thesis develops an invariant Ωⁿ analogous to Σⁿ and investigates the relationship between the two.

Research Papers

• Controlled Topology Invariants of Translation Actions, Topology and it's Applications, Volume 153 (Issue 12), 2006, pp. 1975-1993. PDF file or Postscript file

• The Geometric Invariants Ωⁿ of a Product of Groups, Geometriae Dedicata, Volume 124 (Number 1), February 2007, pp. 133-141. PDF file or Postscript file
  The original publication is available at www.springerlink.com

EDUCATION AND EMPLOYMENT

Education

• B.S. in Mathematics from Bloomsburg University in 1997.
• Ph.D. in Mathematics from Binghamton University in 2004.

Employment

• Assistant Professor of Mathematics at Western Carolina University from fall 2004 until spring 2006.
• Assistant Professor of Mathematics at the University of Maine at Farmington since fall 2006.

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