Education & Professional History
Professional Experience
Professor of Mathematics, Truman State University, 1991-1994, 1997-2022.
Education
B.Sc. University of Nebraska – Lincoln
M.Sc. Ohio State University
Ph.D. University of Wyoming
At Carleton since 2024.
I am interested in applied combinatorics. My research has touched on problems in mathematical biology, coding theory, quasi-Monte Carlo methods, cooperative game theory, and combinatorial physics. A problem in physics has led me to study multivariate rational generating functions in general, and specifically the problem of finding closed form expressions for the coefficients in power series expansions of said functions.
Subjects taught:
• Precalculus, calculus and analytic geometry I − III, business calculus, calculus for the liberal arts, introductory statistics, introduction to reading and writing mathematical proofs.
• Discrete mathematics, differential equations, linear algebra, Euclidean and non-Euclidean geometry, game theory, mathematical biology.
• Abstract algebra I and II, introductory analysis I and II, topology, combinatorics, logic and set theory, capstone writing course.
• Graduate courses in linear algebra, discrete mathematics, geometry, coding theory.
Professional Journals
Graph decompositions for demographic loop analysis, Michael J. Adams, Journal of Mathematical Biology
57 (2008), no. 2, pp. 209-221.
Generalized orthogonal arrays: constructions and related graphs, Michael J. Adams, Journal of Combinatorial Designs 7 (1999), no. 1, pp. 31-39.
A construction for (t,m,s)-nets in base q, Michael J. Adams and Bryan L. Shader, SIAM J. of Discrete Math.
10 (1997), no. 3, pp. 460-468.
Subcodes and covering radius, Michael J. Adams, IEEE Trans. Inform. Theory 32 (1986), no. 5, pp. 700-701.
Presentations
Loop Decompositions for Circulations in Strongly Connected Digraphs, MAA contributed talk, Joint Mathematics Meetings, January 2009, Washington DC.
Inside GIS: Habitat Parameterization and Metapopulation Modeling of a Rare Winter Annual, Brett L. Wiley,
Jonathan D. Vollmer, Michael I. Kelrick, Michael J. Adams, poster presentation, Annual Meeting of the
Society of Mathematical Biology, August 2008, Toronto, Canada.
Graph Decompositions for Demographic Loop Analysis, contributed talk, Annual Meeting of the Society of
Mathematical Biology, August 2007, San Jose, California.
GIS-Driven Metapopulation Modeling: Using Graph Theory to Investigate Seed Dispersal, James Franklin,
Jonathan Vollmer, Michael J. Adams, Michael I. Kelrick, poster presentation, Annual Meeting of the
Society of Mathematical Biology, August 2007, San Jose, California.
Graphs, Linear Algebra, and Ecology, invited talk, October 2007, University of Nevada at Reno.
Undergraduate Research in Coding Theory, invited talk, November 2005, University of Nevada at Reno.
Mathematical Biology and College Algebra, Keynote Address at MOMATYC Spring Conference, April
2005, Lake Ozark, Missouri.
Poset Codes and Their Applications, invited talk, AMS Special Session on Lattice Theory, Joint Mathematics
Meetings, January 2004, Phoenix, Arizona.
Monte Carlo Methods and (t,m,s)-nets, Bioinformatics Research Group at Pioneer Hy-Bred, Johnston,
Iowa, July 2003.
On Generalized Orthogonal Arrays, contributed talk at the 1997 Meeting of the Rocky Mountain Section
of the MAA and ColoMATYC, April 1997, CU-Denver, Colorado.
Generalized Orthogonal Arrays: Constructions and Related Graphs, contributed talk, Eleventh Midwestern
Conference on Combinatorics, Cryptography, and Computing, October 1996, at the University of Nevada,
Las Vegas.
A Construction for (t,m,s)-nets in Base q, contributed talk, Eighth SIAM Conference on Discrete
Mathematics, June 1996, at Johns Hopkins University, Baltimore, MD.
Hiking (the higher above tree line, the better), cooking, travel.