Professor Brendan Owens

  • Professor of Mathematics (Mathematics)

telephone: 01413304750
email: Brendan.Owens@glasgow.ac.uk

R434 Level 4, Mathematics and Statistics Building, Glasgow G12 8QQ

Import to contacts

ORCID iDhttps://orcid.org/0000-0002-6923-1443

Research interests

My research is in smooth low-dimensional topology: 4-manifolds, 3-manifolds, and knots. I am particularly interested in concordance of knots and homology cobordism of 3-manifolds, and in the application of gauge theoretic invariants and Floer homologies.

Research groups

Publications

List by: Type | Date

Jump to: 2025 | 2023 | 2022 | 2021 | 2020 | 2018 | 2016 | 2015 | 2014 | 2012 | 2010 | 2008 | 2007 | 2006 | 2005 | 2001
Number of items: 20.

2025

Greene, J. E. and Owens, B. (2025) Alternating links, rational balls, and cube tilings. Journal of the European Mathematical Society, (doi: 10.4171/JEMS/1580) (Early Online Publication)

2023

Owens, B. and Swenton, F. (2023) An algorithm to find ribbon disks for alternating knots. Experimental Mathematics, (doi: 10.1080/10586458.2022.2158968) (Early Online Publication)

2022

Owens, B. and Strle, S. (2022) Disoriented homology and double branched covers. Canadian Journal of Mathematics, (doi: 10.4153/S0008414X22000591) (Early Online Publication)

2021

Owens, B. (2021) Knots and 4-manifolds. Winter Braids Lecture Notes, 6(2019), 2. (doi: 10.5802/wbln.28)

2020

Owens, B. (2020) Smooth, nonsymplectic embeddings of rational balls in the complex projective plane. Quarterly Journal of Mathematics, 71(3), pp. 997-1007. (doi: 10.1093/qmathj/haaa013)

2018

Owens, B. (2018) Equivariant embeddings of rational homology balls. Quarterly Journal of Mathematics, 69(3), pp. 1101-1121. (doi: 10.1093/qmath/hay016)

2016

Owens, B. and Strle, S. (2016) Immersed disks, slicing numbers and concordance unknotting numbers. Communications in Analysis and Geometry, 24(5), pp. 1107-1138. (doi: 10.4310/CAG.2016.v24.n5.a8)

2015

Nagel, M. and Owens, B. (2015) Unlinking information from 4-manifolds. Bulletin of the London Mathematical Society, 47(6), pp. 964-979. (doi: 10.1112/blms/bdv072)

Lisca, P. and Owens, B. (2015) Signatures, Heegaard Floer correction terms and quasi-alternating links. Proceedings of the American Mathematical Society, 143, pp. 907-915. (doi: 10.1090/S0002-9939-2014-12265-9)

2014

Bieri, R., Kropholler, P. and Owens, B. (2014) On subsets of S^n whose (n + 1)-point subsets are contained in open hemispheres. New York Journal of Mathematics, 20, pp. 1021-1041.

2012

Owens, B. and Strle, S. (2012) Dehn surgeries and negative-definite four-manifolds. Selecta Mathematica - New Series, 18(4), pp. 839-854. (doi: 10.1007/s00029-012-0086-2)

Owens, B. and Strle, S. (2012) A characterisation of the Z^n + Zδ lattice and definite nonunimodular intersection forms. American Journal of Mathematics, 134(4), pp. 891-913. (doi: 10.1353/ajm.2012.0026)

Donald, A. and Owens, B. (2012) Concordance groups of links. Algebraic and Geometric Topology, 12(4), pp. 2069-2093. (doi: 10.2140/agt.2012.12.2069)

2010

Owens, B. (2010) On slicing invariants of knots. Transactions of the American Mathematical Society, 362, pp. 3095-3106. (doi: 10.1090/S0002-9947-09-04904-6)

2008

Owens, B. (2008) Unknotting information from Heegaard Floer homology. Advances in Mathematics, 217(5), pp. 2353-2376. (doi: 10.1016/j.aim.2007.10.006)

2007

Manolescu, C. and Owens, B. (2007) A concordance invariant from the Floer homology of double branched covers. International Mathematics Research Notices, 2007, (doi: 10.1093/imrn/rnm077)

2006

Owens, B. and Strle, S. (2006) A characterisation of the n<1>+<3> form and applications to rational homology spheres. Mathematical Research Letters, 13(2), pp. 259-271.

Owens, B. and Strle, S. (2006) Rational homology spheres and the four-ball genus of knots. Advances in Mathematics, (doi: 10.1016/j.aim.2004.12.007)

2005

Owens, B. and Strle, S. (2005) Definite manifolds bounded by rational homology three spheres. In: Geometry and Topology of Manifolds, McMaster University, Ontario, May 14-18, 2004, pp. 243-252.

2001

Owens, B. (2001) Instantons on cylindrical manifolds and stable bundles. Geometry and Topology, 5, pp. 761-797. (doi: 10.2140/gt.2001.5.761)

This list was generated on Tue Apr 1 21:02:21 2025 BST.
Jump to: Articles | Conference Proceedings
Number of items: 20.

Articles

Greene, J. E. and Owens, B. (2025) Alternating links, rational balls, and cube tilings. Journal of the European Mathematical Society, (doi: 10.4171/JEMS/1580) (Early Online Publication)

Owens, B. and Swenton, F. (2023) An algorithm to find ribbon disks for alternating knots. Experimental Mathematics, (doi: 10.1080/10586458.2022.2158968) (Early Online Publication)

Owens, B. and Strle, S. (2022) Disoriented homology and double branched covers. Canadian Journal of Mathematics, (doi: 10.4153/S0008414X22000591) (Early Online Publication)

Owens, B. (2021) Knots and 4-manifolds. Winter Braids Lecture Notes, 6(2019), 2. (doi: 10.5802/wbln.28)

Owens, B. (2020) Smooth, nonsymplectic embeddings of rational balls in the complex projective plane. Quarterly Journal of Mathematics, 71(3), pp. 997-1007. (doi: 10.1093/qmathj/haaa013)

Owens, B. (2018) Equivariant embeddings of rational homology balls. Quarterly Journal of Mathematics, 69(3), pp. 1101-1121. (doi: 10.1093/qmath/hay016)

Owens, B. and Strle, S. (2016) Immersed disks, slicing numbers and concordance unknotting numbers. Communications in Analysis and Geometry, 24(5), pp. 1107-1138. (doi: 10.4310/CAG.2016.v24.n5.a8)

Nagel, M. and Owens, B. (2015) Unlinking information from 4-manifolds. Bulletin of the London Mathematical Society, 47(6), pp. 964-979. (doi: 10.1112/blms/bdv072)

Lisca, P. and Owens, B. (2015) Signatures, Heegaard Floer correction terms and quasi-alternating links. Proceedings of the American Mathematical Society, 143, pp. 907-915. (doi: 10.1090/S0002-9939-2014-12265-9)

Bieri, R., Kropholler, P. and Owens, B. (2014) On subsets of S^n whose (n + 1)-point subsets are contained in open hemispheres. New York Journal of Mathematics, 20, pp. 1021-1041.

Owens, B. and Strle, S. (2012) Dehn surgeries and negative-definite four-manifolds. Selecta Mathematica - New Series, 18(4), pp. 839-854. (doi: 10.1007/s00029-012-0086-2)

Owens, B. and Strle, S. (2012) A characterisation of the Z^n + Zδ lattice and definite nonunimodular intersection forms. American Journal of Mathematics, 134(4), pp. 891-913. (doi: 10.1353/ajm.2012.0026)

Donald, A. and Owens, B. (2012) Concordance groups of links. Algebraic and Geometric Topology, 12(4), pp. 2069-2093. (doi: 10.2140/agt.2012.12.2069)

Owens, B. (2010) On slicing invariants of knots. Transactions of the American Mathematical Society, 362, pp. 3095-3106. (doi: 10.1090/S0002-9947-09-04904-6)

Owens, B. (2008) Unknotting information from Heegaard Floer homology. Advances in Mathematics, 217(5), pp. 2353-2376. (doi: 10.1016/j.aim.2007.10.006)

Manolescu, C. and Owens, B. (2007) A concordance invariant from the Floer homology of double branched covers. International Mathematics Research Notices, 2007, (doi: 10.1093/imrn/rnm077)

Owens, B. and Strle, S. (2006) A characterisation of the n<1>+<3> form and applications to rational homology spheres. Mathematical Research Letters, 13(2), pp. 259-271.

Owens, B. and Strle, S. (2006) Rational homology spheres and the four-ball genus of knots. Advances in Mathematics, (doi: 10.1016/j.aim.2004.12.007)

Owens, B. (2001) Instantons on cylindrical manifolds and stable bundles. Geometry and Topology, 5, pp. 761-797. (doi: 10.2140/gt.2001.5.761)

Conference Proceedings

Owens, B. and Strle, S. (2005) Definite manifolds bounded by rational homology three spheres. In: Geometry and Topology of Manifolds, McMaster University, Ontario, May 14-18, 2004, pp. 243-252.

This list was generated on Tue Apr 1 21:02:21 2025 BST.

Supervision