Dr. Joseph Kirtland
Professor of Mathematics
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 (Philip Larkin and Mary Oliver are two of his favorite poets), hiking (he and his wife have hiked all the peaks over 3,500 feet in the Catskills), and cycling (his road bike can be often seen in Northern Dutchess County).
A dedicated teacher, Joe has been selected ten times by the students of Marist for the Faculty Recognition Award in the School of Computer Science and Mathematics. In 2000, he was presented with the Marist College Board of Trustees’ Distinguished Teaching award, and in 2002, he received the Award for Distinguished College or University Teaching of Mathematics given by the Metropolitan New York section of the Mathematical Association of America (MAA). Joe also authored the book Proofs 101: An Introduction to Formal Mathematics to serve as an introduction to upper-level mathematics.
Due to Joe’s research interests in decompositions of finite groups, he authored a book entitled Complementation of Normal Subgroups in Finite Groups, published by DeGruyter. 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 titled Identification Numbers and Check Digit Schemes, published by the MAA. This book won the MAA’s Beckenback Book Prize, awarded to an author of a distinguished, innovative book published by the MAA.
PhD, Mathematics (Finite Group Theory), University of New Hampshire, 1992
MS, Mathematics, University of New Hampshire, 1987
BS, Mathematics, Syracuse University, 1985
Research Area/Areas of Focus
Finite Group Theory
Proofs 101: An Introduction to Formal Mathematics, CRC Press, Boca Raton FL, 2021
Complementation of Normal Subgroups in Finite Groups, Walter de Gruyter, Berlin, 2017
Identification Numbers and Check Digit Schemes, Classroom Resource Materials series, The Mathematical Association of America, Washington, DC, 2001
On Two Classes of Finite Inseparable p-Groups, Acta Mathematica Sinica, English Series, 2015 (31), no. 7, 1203-1214
Finite Groups with all Subgroups not contained in the Frattini Subgroup Permutable, Archiv der Mathematik 2011 (97), 399-406
The Puzzle “No. Crunch" 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
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
Kappe, L.-C. and Kirtland, J., Supplementation in Groups, Glasgow Mathematical Journal 42, 37-50, 2000
Finite Solvable Multiprimitive Groups, Communications in Algebra 23(1), 335-356,
The Geometry of Finite Groups Through the Use of Splitting Systems, Communi-cations in Algebra 22(3), 735-764, 1994
Awards and Honors
Recipient of the Faculty Recognition Award given by the Library Development Committee of Marist College, 2002 and 2018
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, 2002
Awarded the Mathematical Association of America's Beckenbach Book Prize for my book Identification Numbers and Check Digit Schemes, 2002
Recipient of the Marist College 2000 Board of Trustees’ Faculty Award for Distinguished Teaching
Faculty Recognition Award given by the Student Academic Council of Marist College, for the academic years 1994-1995, 1995-1996, 1996-1997, 1997-1998, 1998-1999, 1999-2000, 2001-2002, 2002-2003, 2005-2006, and 2006-2007.