About me

Dr. Scott T. Chapman is a Texas State University System Regents' Professor, Sam Houston State University Distinguished Professor, and Scholar in Residence. In addition to being a mathematician, where he has research interests commutative algebra, combinatorics, and number theory, Dr. Chapman is also the editor-in-chief of Communications in Algebra. Other editorial positions include: Editor Emeritus and Associate Editor of The American Mathematical Monthly, Associate Editor for Involve.

Mathematician

Education

Dr. Scott T. Chapman got his Bachelor of Science at Wake Forest University in 1981. He continued to the University of North Carolina at Chapel Hill and aquired his Masters of Science in 1984. In 1987, he earned his Ph.D. from the University of North Texas.

Editor

Research

• "The catenary degree of elements in numerical monoids generated by arithmetic sequences," (with M. Corrales*, A. Miller*, C. Miller*, and D. Patel*) Comm. Algebra 45(2017), 5443--5452.
• ``What happens when the division algorithm ``almost'' works,'' Amer. Math. Monthly 125(2018), 643--647.
• ``Factorization in the Chicken McNugget monoid,'' (with C. O'Neill) Math. Magazine 91(2018), 323--336.
• ``So what is class number 2?''
• Amer. Math. Monthly 126(2019), 330--339.
• ``How do elements really factor in \(\mathbb{Z}[\sqrt{-5}]\),'' (with F. Gotti and M. Gotti) Advances in Commutative Algebra Dedicated to David F. Anderson, Birkh\"auser, 2019, 171--196.
• ``Factorization invariants of Puiseux monoids generated by geometric sequences,'' (with F. Gotti and M. Gotti) Comm. Algebra 48(2020), 380--396.
• ``When is a Puiseux monoid atomic?,'' (with F. Gotti and M. Gotti) Amer. Math. Monthly 128(2021), 302--321.
• ``Finer factorization characterizations of class number 2,'' Rocky Mountain J. Math. 51(2021), 97--108.
• ``Distances between factorizations in the Chicken McNugget monoid,'' (with C. O'Neill and P. A. Garc\'{i}a-S\'{a}nchez) College Math. Journal 52(2021), 158--176.
• ``Length-factoriality in commutative monoids and integral domains,'' (with J. Coykendall, F. Gotti, and W. W. Smith) to appear in Journal of Algebra.
• ``Bi-atomic classes of positive semirings'' (with N. Baeth and F. Gotti) to appear in Semigroup Forum.
• ``On length densities,'' (with C. O'Neill and V. Ponomarenko).
• On Delta Sets and their Realizable Subsets in Krull Monoids with Cyclic Class Groups , (with F. Gotti* and R. Pelayo) Colloq. Math. 137(2014), 137-146.
• The catenary and tame degrees on a numerical monoid are eventually periodic, (with M. Corrales*, A. Miller*, C. Miller*, and D. Patel*) J. Aust. Math. Soc. 97(2014), 289-300.
• I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly , (with J. Borwein) Amer. Math. Monthly 122(2015), 195-216.
• Omega-primality in embedding dimension three numerical semigroups , (with P. A. Garcia-Sanchez, Z. Tripp*, C. Viola) J. Algebra Appl. 63(2016).
• The catenary degree of elements in numerical monoids generated by arithmetic sequences , (with M. Corrales*, A. Miller*, C. Miller*, and D. Patel*) Comm. Algebra 45(2017), 5443-5452.
• What happens when the division algorithm "almost" works, Amer. Math. Monthly 125(2018), 643-647.
• Factorization in the Chicken McNugget Monoid, (with C. O'Neill) Math. Magazine 91(2018), 323-336.
• So what is class number 2?, Amer. Math. Monthly 126(2019), 330-339.
• Omega-primality in arithmetic Leamer monoids, (with Z. Tripp*) to appear in Semigroup Forum.
• Factorization invariants of Puiseux monoids generated by geometric sequences," , (with F. Gotti and M. Gotti) to appear in Communications in Algebra.