Items whose names start with a year are published.

**Lattice Theory/Topology Papers**

- Modal operators on rings of continuous functions (with G. Bezhanishvili and L. Carai)
- Free bounded archimedean l-algebras (with G. Bezhanishvili and L. Carai)
- Coalgebras for the powerset functor and Thomason duality (with G. Bezhanishvili and L. Carai)
- A new approach to the Katetov-Tong theorem (with G. Bezhanishviliand B. Olberding)
- 2020 Gelfand-Naimark-Stone duality for normal spaces and insertion theorems (with G. Bezhanishvili and B. Olberding)
- 2020 A generalization of Gelfand-Naimark-Stone duality to completely regular spaces (with G. Bezhanishvili and B. Olberding)
- 2020 The frame of nuclei of an Alexandroff space (with F. Ávila, G. Bezhanishvili and A. Zaldívar)
- 2020 When is the frame of nuclei spatial: a new approach (with F. Ávila, G. Bezhanishvili and A. Zaldívar)
- 2020 Specker Algebras: A Survey (with G. Bezhanishvili and B. Olberding)
- 2019 An extension of de Vries duality to normal spaces and locally compact Hausdorff spaces (with G. Bezhanishvili and B. Olberding)
- 2019 An extension of de Vries duality to completely regular spaces and compactifications (with G. Bezhanishvili and B. Olberding)
- 2018 Canonical extensions of bounded archimedean vector lattices (with G. Bezhanishvili and B. Olberding)
- 2017 Proximity biframes and Nachbin spaces (with G. Bezhanishvili)
- 2017 Pierce sheaves and commutative idempotent generated algebras (with G. Bezhanishvili and B. Olberding)
- 2016 A functorial approach to Dedekind Completions and the representation of vector lattices and l-algebras by normal functions (with G. Bezhanishvili and B. Olberding)
- 2015 Proximity biframes and compactifications of completely regular ordered spaces (with G. Bezhanishvili)
- 2015 Profinite Topological Spaces (with G. Bezhanishvili, D. Gabalaia, and M. Jibladze)
- 2015 De Vries powers: a generalization of Boolean powers for compact Hausdorff spaces (with G. Bezhanishvili, V. Marra, and B. Olberding)
- 2015 Idempotent generated algebras and Boolean powers of commutative rings (with G. Bezhanishvili, V. Marra, and B. Olberding)
- 2013 Dedekind Completions of bounded archimedean l-algebras (with G. Bezhanishvili and B. Olberding)
- 2013 Bounded Archimedean l-algebras and Gelfand-Neumark-Stone duality (with G. Bezhanishvili and B. Olberding)
- 2011 Order-Compactifications of Totally Ordered Spaces (with G. Bezhanishvili)
- 2011 One-point order compactifications (with G. Bezhanishvili)
- 2010 Scattered and hereditarily irresolvable spaces in modal logic (with G. Bezhanishvili)
- 2010 Priestley rings and Priestley order-compactifications(with G. Bezhanishvili)
- 2009 Profinite Heyting algebras and profinite completions of Heyting algebras (with G. Bezhanishvili)
- 2007 Topo-canonical completions of closure algebras and Heyting algebras (with G. Bezhanisvhili and R. Mines)
- 2006 Profinite completions and canonical extensions of Heyting algebras (with G. Bezhanisvhili, M. Gehrke, and R. Mines)
- 2003 Scattered, Hausdorff-reducible, and hereditarily irresolvable spaces (with G. Bezhanisvhili and R. Mines)
- 2002 The Priestley separation axiom for scattered spaces (with G. Bezhanisvhili and R. Mines)

**Division Algebra Papers**

- 2006 A Springer theorem for higher degree forms
- 2005 Division algbras with an anti-automorphism but with no involution (with B. A. Sethuraman and J.-P. Tignol)
- 2005 Valuations on tensor powers of a division algebra (with B. A. Sethuraman)
- 2001 Hyperbolicity of algebras with involution and connection with Clifford algebras (with D. Haile)
- 2001 On the tensor product of composition algebras (with J. M. Pérez-Izquierdo and S. Pumplün)
- 2000 Generalized cocycles with values in one-units of Henselian valued division algbras (with B. A. Sethuraman)
- 2000 Decomposition of involutions on inertially split division algebras (with B. A. Sethuraman)
- 1999 Lie algebras, composition algebras, and the existence of cross products on finite-dimensional vector spaces
- 1998 Divisors on division algebras and error correcting codes (with B. A. Sethuraman)
- 1995 Noncrossed product division algebras with a Baer ordering (with B. A. Sethuraman)
- 1995 Kummer subfields of tame division algebras (with B. A. Sethuraman)
- 1995 Bezout orders and Henselization (with D. Haile and A. Wadsworth)
- 1995 On defective division algebras
- 1993 On Dubrovin valuation rings in crossed product algebras (with D. Haile)
- 1994 Indecomposable division algebras with a Baer ordering (with B. A. Sethuraman)
- 1993 Noncommutative Prufer rings satisfying a polynomial identity
- 1992 Maximal orders over valuation rings
- 1991 An approximation Theorem for Dubrovin valuation rings
- 1989 Baer orderings with noninvariant valuation ring (with A. Wadsworth)
- 1989 Integral Dubrovin valuation rings (with A. Wadsworth)
- 1989 Value functions on central simple algebras
- 1989 The Henselization of a valued division algebra

**Books**

- 2010 Abstract Algebra: Structure and Application (with D. Finston)
- 1996 Field and Galois Theory

**Education Papers**

- 2013 Feedback to support learning in the leadership institute for teachers (with J. Bradley and K. Kinzer)
- 2004 Computing the symmetry groups of the Platonic solids with the help of Maple
- 1996 Exploration explanation formalization a three-step approach to proof (with T. Hodgson)
- 1993 Calculus instruction at New Mexico State University through weekly themes and cooperative

learning (with J. Alvarez, D. Finston, and M. Gehrke)