Adam Clay

Profile

Select Publications

Name: Adam Clay

Position Title: Associate Head Grad/Associate Professor

Office Phone Number: (204)-474-6849

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

Links

http://server.math.umanitoba.ca/~claya/

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.

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.