At UMF we have programs in Liberal Arts Mathematics, Secondary Education Mathematics, Computer Science and Individualized Majors such as Mathematics and Biology, Mathematics and Economics, Mathematics and Environmental Science, Computer Science and Music, and many more. University Website Department Website Join our UMF Math & CS Facebook group!

Lori Koban Associate Professor of Mathematics Math and CS Department Office: Brinkman 204 Phone: (207)778-7952 E-mail: lori.koban@maine.edu

CURRENT TEACHING: Spring 2012

• Math 120 - Introductory Statistics
• Math 377 - Financial Mathematics
• Distance Introductory Statistics for the Health Professions (through the University of New England)

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PAST TEACHING

University of Maine at Farmington:

• Math 100 - Introduction to Mathematics (S09)
• Math 103 - Mathematics for Elementary School Teachers (F06, S07, S08)
• Math 120 - Introductory Statistics (Summer 07, May 08, Summer 08, May 09, S10, S11, F11, S12)
• Math 132 - Precalculus (F10)
• Math 141 - Calculus I (F06, F07, F08, F09)
• Math 142 - Calculus II (S07, S08, S10)
• MAT 220 - Data Analysis (F08, F09, F11)
• MAT 241 - Calculus III (F07)
• Math 333 - Combinatorics and Graph Theory (S11)
• Math 377 - Financial Mathematics (S12)
• Math 371 - Mathematical Probability (F10)
• Math 477 - Problem Solving in Probability (S09)

Western Carolina University:

• Math 101 - Mathematical Concepts (S05, Summer 05)
• Math 130 - College Algebra (Fall 04)
• Math 135 - Statistics, Functions, and Rates of Change (F05)
• Math 153 - Calculus I (F05, S06)
• Math 170 - Applied Statistics (F04, S05, Summer 06)
• Math 230 - Theory of Arithmetic I (Summer 06)
• Math 270 - Statistical Methods I (F05)
• Math 361 - Abstract Algebra (S06)

RESEARCH

My research is in combinatorics, especially matroids and their connections with graph theory. The main topic of my work is gain and biased graphs. These are graphs with additional structure that leads to new graphical matroids. The theories of gain and biased graphs are being developed by my advisor, Thomas Zaslavsky, in a series of papers entitled ``Biased Graphs''.

Papers

• "Biased Expansions of Biased Graphs and their Chromatic Polynomials", Annals of Combinatorics, to appear.

• (with Erin McNelis) "Fantasy Baseball with a Statistical Twist", Mathematics Teacher, 102-4 (2008), 264-269..

• "A Modular Triple Characterization of Circuit Signatures", Europ. J. Combinatorics, 29 (2008), 159-170.

• Two Generalizations of Biased Graphs: Circuit Signatures and Modular Triples of Matroids, and Biased Expansions of Biased Graphs, Ph.D. Thesis, Advisor: Thomas Zaslavsky.

• "Comments on 'Supersolvable frame-matroid and graphic-lift lattices' by T. Zaslavsky", Europ. J. Combinatorics, 25 (2004), 141-144.

• (with Gary Gordon, Jason Leasure, and Sharon Pronchik) "Matroid Automorphisms and Symmetric Groups", Combinatorics, Probability, & Computing 9(2000), 105-123.

EDUCATION AND EMPLOYMENT

Education

• Ph.D. in Mathematics from Binghamton University in 2004.
• M.A.T. in Mathematics from Binghamton University in 2000.
• M.A.in Mathematics from Binghamton University in 1999.
• B.S. in Mathematics from Eastern Nazarene College in 1997.

Employment

• Associate Professor of Mathematics at University of Maine at Farmington, 2011 - present.
• Assistant Professor of Mathematics at University of Maine at Farmington, 2006 - 2011.
• Assistant Professor of Mathematics at Western Carolina University, 2005 - 2006.
• Visiting Assistant Professor of Mathematics at Western Carolina University, 2004 - 2005.

OTHER

• New York State Teacher Certification, Grades 7 to 12 (February 2001)
• Actuarial Exam P/1 (July 2008)

My Cakes .