Research Interest

My research focuses on commutative algebra in connection to number theory and combinatorics. I am particularly interested in the ascent of algebraic, ideal-theoretic, and arithmetic properties to polynomial extensions, monoid and group algebras, and power semigroups. A central theme of my work is the study of non-unique factorization in commutative rings and monoids where the Fundamental Theorem of Arithmetic fails to hold. Most recently, I have been investigating analogues of classical number-theoretic problems within the framework of semirings, with a specific focus on simple semiring extensions and polynomial semirings.

Selected Publications

Here is a relatively updated version of my full list of publications.

My research articles can also be found in

The list of my coauthors

Anay Aggarwal, Khalid Ajran, David F. Anderson, Nick R. Baeth, Alan Bu, Scott T. Chapman, Anastasia Chavez, Rebecca Conaway, Jyrko Correa-Morris, Jim Coykendall, Jiya Dani, Alfred Geroldinger, Victor Gonzalez, Marly Gotti, Richard E. Hasenauer, Leo Hong, Jesse Horton, Ulrich Krause, Bangzheng Li, Susie Lu, Chris O’Neill, Ishan Panpaliya, Roberto Pelayo, Harold Polo, Mesa Pracht, Henrick Rabinovitz, Shimon Schlessinger, Easton Singer, William W. Smith, Salvatore Tringali, Joseph Vulakh, Brian Wissman, Muhammad Zafrullah, and Alex Zhao.