Below is a full list of my scholarly publications, including journal & publisher information as well as a link to a preprint version of the publication.
Publications in peer-reviewed journals
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- A strong correspondence principle for smooth, monotone environments (with F. Christensen), Journal of Mathematical Economics 77 (2018), 15 – 24.
- Berge duals and universally tight contact structures, Topology and its Applications 236 (2018), 26 – 43.
Preprint. - KCH representations, augmentations, and A-polynomials, Journal of Symplectic Geometry 15 (2017), 983 – 1017.
Preprint. - Augmentation rank of satellites with braid pattern (with D. Hemminger), Communications in Analysis and Geometry 24 (2016), 939 – 967.
Preprint. - Obstructions to Lagrangian concordance (with L. Ng and S. Sivek), Algebraic & Geometric Topology 16 (2016), 797 – 824.
Preprint. - Knot contact homology and representations of knot groups, Journal of Topology 7 (2014), 1221 – 1242.
Preprint. - A polynomial invariant for links in lens spaces, Journal of Knot Theory and its Ramifications 21 (2012), #1250060 (31 pages).
Preprint. - Bennequin type inequalities in lens spaces, International Mathematics Research Notices 2012, 1890 – 1916.
Preprint. - Counting fundamental paths in certain Garside semigroups (with S. Humphries), Journal of Knot Theory and its Ramifications 17 (2008), 191 – 211.
Preprints / Under review
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- Character varieties of knot complements and branched double-covers via the cord ring, submitted for publication.
Preprint.
- Character varieties of knot complements and branched double-covers via the cord ring, submitted for publication.
Theses
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- Invariants of topological and Legendrian links in lens spaces with a universally tight contact structure, Michigan State University (2011), Dept of Mathematics.
- On the combinatorics of certain Garside semigroups, Brigham Young University (2006), Dept of Mathematics.