Research and Teaching Interests
Geometric group theory, group actions on ordered sets, relationship between geometry of 3-manifolds and the algebraic properties of their fundamental groups
Education
Ph.D.University of British Columbia
Select publications
- Boyer, Steven and Clay, Adam (2017). Foliations, orders, representations, L-spaces and graph manifolds. Adv. Math. 310, 159–234.
- Clay, Adam and Zabanfahm, Sina (2017). Automorphisms acting on the left-orderings of a bi-orderable group. New York J. Math. 23, 67–82.
- Clay, Adam (2016). Left-orderability of 3-manifold fundamental groups. CMS Notes 48 (2), 14–15.
- Clay, Adam; Desmarais, Colin and Naylor, Patrick (2016). Testing bi-orderability of knot groups. Canad. Math. Bull. 59 (3), 472–482.
- Clay, Adam and Rolfsen, Dale (2016). Ordered groups and topology, Volume 176 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI.
- Clay, Adam; Lidman, Tye and Watson, Liam (2013). Graph manifolds, left-orderability and amalgamation. Algebr. Geom. Topol. 13 (4), 2347–2368.
- Clay, Adam and Teragaito, Masakazu. Left-orderability and exceptional Dehn surgery on two-bridge knots. In Geometry and topology down under 225–233. Amer. Math. Soc., Providence, RI, 2013.
- Clay, Adam and Watson, Liam (2013). Left-orderable fundamental groups and Dehn surgery. Int. Math. Res. Not. IMRN (12), 2862–2890.
- Clay, Adam (2012). Free lattice-ordered groups and the space of left orderings.Monatsh. Math. 167 (3-4), 417–430.
- Clay, Adam (2012). Left orderings and quotients of the braid groups. J. Knot Theory Ramifications 21 (14), 1250130, 9.
- Clay, Adam and Rolfsen, Dale (2012). Ordered groups, eigenvalues, knots, surgery and L-spaces. Math. Proc. Cambridge Philos. Soc. 152 (1), 115–129.
- Clay, Adam (2011). Exotic left-orderings of the free groups from the Dehornoy ordering. Bull. Aust. Math. Soc. 84 (1), 103–110.
- Clay, Adam and Watson, Liam (2011). On cabled knots, Dehn surgery, and left-orderable fundamental groups. Math. Res. Lett. 18 (6), 1085–1095.
- Clay, Adam (2010). Isolated points in the space of left orderings of a group. Groups Geom. Dyn. 4 (3), 517–532.
- Clay, Adam and Smith, Lawrence H. (2009). Corrigendum to: “On ordering free groups” [J. Symbolic Comput. 40 (2005) 1285–1290] [MR2178087]. J. Symbolic Comput. 44 (10), 1529–1532.
- Clay, Adam and Rolfsen, Dale (2007). Densely ordered braid subgroups. J. Knot Theory Ramifications 16 (7), 869–877.