Areas of Interest
Algebra, algebraic logic, theoretical computer science
Research
My mathematical interests are algebraic in a broad sense. From universal algebra, lattice theory and ordered structures, through more classical algebraic topics like group theory and homology to interactions of algebra with computer science and logic.
Ph.D. Students
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Jonathan Doane,
Summer, 2022
— Boolean twice monoids
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Charles (Matt) Evans,
Summer, 2020
— Spectral Properties of Commutative BCK-Algebras
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Joseph Cyr,
Summer, 2019
— Subdirectly Irreducible Binary Modes
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Eran Crockett,
Summer, 2018
— On a Class of Nilpotent Algebras
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Martha Kilpack,
Spring, 2012
— The Lattice of Closure Operators and the Algebraic Lattice of Algebraic Closure Operators
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Gina Kucinski,
Summer, 2010
— Duality for the Algebra of Conditional Logic
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Viji Thomas,
Summer, 2010
(Co-advisor:
Luise-Charlotte Kappe)
— The Box-Tensor Product: A Generlization of the Nonabelian Tensor Product
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Joshua Palmatier,
Spring, 2005
— M-Zeroids: Structure and Categorical Equivalences
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Dan Clouse,
Summer, 2002
— A Dual Representation of Boolean Semirings In a Category of Structured Topological Spaces
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Zoran Sunik,
Summer, 2000
— On a Class of Periodic Spinal Groups of Intermediate Growth
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Elizabeth Gumustop,
Spring, 1997
— Varieties of Codes and Codifiable Varieties of Monoids
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