Image of Dr. Joseph Kirtland

Contact Information

Academic School

School of Computer Science and Mathematics

Office

Hancock 3042

Email

joe.kirtland@marist.edu

Phone

845-575-3000, ext. 2602

Website/Resume

http://foxweb.marist.edu/users/joe.kirtland/

Dr. Joseph Kirtland

Professor of Mathematics

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 (Philip Larkin and Mary Oliver are two of his favorite poets), hiking (he and his wife have hiked all the trailed peaks over 3,500 feet in the Catskills), and cycling (his road bike can be often seen in Northern Dutchess County).

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 entitled Identification Numbers and Check Digit Schemes, published by the Mathematical Association of America (MAA). This book won the MAA’s Beckenback Book Prize, awarded to an author of a distinguished, innovative book published by the MAA.


Education

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

Selected Publications

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


Selected Presentations

Delivered the invited talk Secure Data Transmission: The Mathematics Behind Identification Numbers and Check Digit Schemes at the April Meeting of the Poughkeepsie Chapter of the ACM held at Marist College on April 18, 2016

Delivered an invited talk entitled Finite Inseparable p-Groups, in the AMS Special Session on What’s New in Group Theory? at the Joint Mathematics Meetings, January 10 - 13, 2015, Henry B. Gonzales Convention Center, San Antonio, Texas

Delivered the talk On Two Classes of Finite Inseparable p-Groups, at the Joint Mathematics Meetings, January 9 - 12, 2013, San Diego Convention Center and San Diego Marriott & Marina, San Diego, California

Delivered the talk Non-Frattini Subgroup Permutability in Finite Groups at the 2011 Zassenhaus Group Theory Conference, May 27-29, 2011, Towson University, Towson, Maryland

Delivered the talk Identification Numbers and Check Digit Schemes; Using Abstract Algebra in Your High School Math Class at the 36th annual Ten County Mathematics Education Conference held on March 12, 2011, at Rye Neck High School in Mamaroneck, New York

Delivered the talk Finite Groups with Many Permutable Subgroups at the Algebra Seminar of the Department of Mathematical Sciences at SUNY Binghamton, on March 16, 2010, Binghamton, New York

Delivered the talk Finding Proper Factorizations in Finite Groups at the 2009 Zassenhaus Group Theory Conference, May 29-31, 2009, Franklin & Marshall College, Lancaster, Pennsylvania

Delivered the talk Finding Proper Supplements in Finite Groups, at the Joint Mathematics Meetings, January 6-9, 2008, San Diego Convention Center, San Diego, California

Delivered a colloquium talk titled A Solution to the Puzzle No. Crunch Leads to Word Length Sn for n even and n greater than 5 at Bard College on March 13, 2007

Delivered the talk Finding Proper Factorizations for Finite Groups at the Eastern Section Meeting of the American Mathematical Society, October 8-9, 2005, Bard College, Annandale-on-Hudson, New York

Delivered the talk Nonfactorizable Finite Groups at the 2005 Zassenhaus Group Theory Conference, March 18-20, 2005, Auburn University Montgomery, Montgomery, Alabama

Delivered the talk Beauty and the Beast: The Marriage of Art and Mathematics, at the 2004 Odyssey Series sponsored by The Johns Hopkins University - Center for Talented Youth held on April 24, 2004 at Marist College, Poughkeepsie, New York

Delivered an invited talk entitled Subgroup Containment Properties of Finite Solvable Groups, at the meeting of the Eastern Section of the American Mathematical Society , October 11-12, 2003 at Binghamton University, Binghamton, New York

Delivered the talk Integrating Writing into a Liberal Arts Mathematics Class, included in the MAA Special Session: Getting Students to Discuss and to Write about Mathematics at the Joint Mathematics Meetings, January 15-18, 2003, Baltimore Convention Center, Baltimore, MD

Delivered an invited paper entitled Finite Separable Metacyclic 2-Groups, at the 26th Ohio State-Denison Mathematics Conference, May 17-19, 2002, Denison University, Granville, Ohio

Delivered, with Dr. Pau-San Haruta of Marist College, the talk Making Writing Assessment Work, at the Conference on College Composition and Communication, March 14-17, 2001, Adam's Mark Hotel, Denver, Colorado

Delivered the talk Supplementation in Groups: The Finite Case, at the Joint Mathematics Meetings, January 7-10, 1998, Baltimore Convention Center, Baltimore, Maryland


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.