Name: Joseph Kirtland
Title: Professor of Mathematics
Office Location: Hancock Center 3042
Extension: (845) 575-3000 ext. 2602
Email: joe.kirtland@marist.edu
Personal Web Page: http://foxweb.marist.edu/users/joe.kirtland
Degrees Held:

B.S. Syracuse University
M.S. University of New Hampshire
Ph.D. University of New Hampshire

Bio:

Joseph Kirtland received his Ph.D. from the University of New Hampshire and his B.S. from Syracuse University. His professional interests are finite and infinite group theory, linear algebra, mathematics education, and mathematical computing. He also enjoys poetry, hiking, and scuba diving.

Due to Joe's interest in group theory, he collaborated on research projects with faculty from SUNY Binghamton. Joe is also interested in innovative ways to teach mathematics. In particular, he is working with Dr. Haruta of English Department on developing collaborative techniques for teaching freshman mathematics and college composition. Additionally, Joe studies the application of group theory to the creation and use of check digit schemes. Based on his efforts, he has written a book, entitled Identification Numbers and Check Digit Schemes, published by the Mathematical Association of America (MAA). This book won the MAAs Beckenback Book Prize, awarded to an author of a distinguished, innovative book published by the MAA.

Awards & Honors:

Recipient of the Award for Distinguished College or University Teaching of Mathematics given by the Metropolitan New York section of the Mathematical Association of America, May 5, 2002.

Awarded the Mathematical Association of America's Beckenbach Book Prize for my book Identification Numbers and Check Digit Schemes, January 7, 2002.

Recipient of the Marist College 2000 Board of Trustees' Faculty Award for Distinguished Teaching.

Publications:

Kirtland, J., On Two Classes of Finite Inseparable p-Groups, Acta Mathematica Sinica, English Series,  2015 (31), no. 7, 1203-1214.

Kirtland, J., Finite Groups with all Subgroups not contained in the Frattini Subgroup Permutable, Archiv der Mathematik 2011 (97), 399-406.

Kirtland, J., Finding Proper Factorizations in Finite Groups, Algebra and Discrete Mathematics 2009 (2), 45-59.

Kirtland, J., The Puzzle lqlq No. Crunchrqrq and Word Length in the Symmetric Group, The UMAP Journal 29 (4), 431-448, 2008.

Kirtland, J. and Hoh, P.-S., Freshmen Can Offer Mathematical Solutions to Real-World Issues FOCUS 24(8), 25-26, 2004.

Kirtland, J., Finite Separable Metacyclic 2-Groups, Expositiones Mathematicae 22, 395-398, 2004.

Kirtland, J., Finite Groups with a Minimal Frattini Subgroup Property, Glasgow Mathematical Journal 45, 41-44, 2003.

Kappe, L.-C. and Kirtland, J., Finite Groups with Trivial Frattini Subgroups, Archiv der Mathematik 80, 225 - 234, 2003.

Kirtland, J. and Hoh, P.-S., Integrating Mathematics and Composition Instruction, PRIMUS XII(1), 11-26, 2002.

Hoh, P.-S. and Kirtland, J., An Emergentist Model for Writing in Mathematics, ERIC ED 453552, 453-552, 2001.

Kirtland, J., Identification Numbers and Check Digit Schemes, Classroom Resource Materials series, The Mathematical Association of America, Washington, DC, 2001.

Kappe, L.-C. and Kirtland, J., Supplementation in Groups, Glasgow Mathematical Journal 42, 37-50, 2000.

Kappe, L.-C. and Kirtland, J., Some Analogues of the Frattini Subgroup, Algebra Colloquium 4(4), 419-426,1997.

Kirtland, J., Direct Products of Inseparable Finite Groups II, Communications in Algebra 25(1), 243-246, 1997.

Kirtland, J., Finite Solvable Multiprimitive Groups,  Communications in Algebra 23(1), 335-356, 1995.

Kirtland, J., Direct Products of Inseparable Finite Groups, Archiv der Mathematik 62, 289-291, 1994.

Kirtland, J., The Geometry of Finite Groups Through the Use of Splitting Systems, Communications in Algebra 22(3), 735-764, 1994.

Research Interests:

Dr. Kirtland has two research interests.
A) Group Theory: Studying structure and classification issues. He is particularly interested in complementation and supplementation issues, as well as permutability (subgroups and elements), decomposition, and group actions.
B) Interdisciplinary Teaching of Mathematics and English: He is currently investigating the ways in which writing, done inside and outside of class, can positively influence a student's learning of mathematics. In addition, Dr. Kirtland is also interested in how mathematics can be used to positively influence a students learning of composition and basic writing skills.