Dr Ana Lecuona

  • Lecturer in Pure Mathematics (Mathematics)

Research interests

Research Interests

My primary research interest is in low dimensional topology, with a particular emphasis on the interactions beteween dimensions 3 and 4. An important problem in this area is the so called slice-ribbon conjecture, which deals with knots in the 3-sphere which bound embedded disks in the 4-ball. Part of my research develops around this question.

Research Groups


Publications

List by: Type | Date

Jump to: 2019 | 2018 | 2017 | 2016 | 2015 | 2013 | 2012 | 2011
Number of items: 10.

2019

Lecuona, A. G. (2019) Complementary legs and rational balls. Michigan Mathematical Journal, (Accepted for Publication)

2018

Aceto, P., Golla, M. and Lecuona, A. G. (2018) Handle decompositions of rational homology balls and Casson–Gordon invariants. Proceedings of the American Mathematical Society, 146(9), pp. 4059-4072. (doi:10.1090/proc/14035)

Lecuona, A. G. (2018) A note on graphs and rational balls. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 112(3), pp. 705-716. (doi:10.1007/s13398-017-0464-x)

Audoux, B., Lecuona, A. G. and Roukema, F. (2018) On hyperbolic knots in S³ with exceptional surgeries at maximal distance. Algebraic and Geometric Topology, 18(4), pp. 2371-2417. (doi:10.2140/agt.2018.18.2371)

2017

Degtyarev, A., Florens, V. and Lecuona, A. G. (2017) The signature of a splice. International Mathematics Research Notices, 2017(8), pp. 2249-2283. (doi:10.1093/imrn/rnw068)

2016

Baker, K. L., Buck, D. and Lecuona, A. G. (2016) Some knots in S¹ x S² with lens space surgeries. Communications in Analysis and Geometry, 24(3), pp. 431-470. (doi:10.4310/CAG.2016.v24.n3.a1)

2015

Lecuona, A. G. (2015) On the slice-ribbon conjecture for pretzel knots. Algebraic and Geometric Topology, 15(4), pp. 2133-2173. (doi:10.2140/agt.2015.15.2133)

2013

Hou, X.-d., Lecuona, A. G., Mullen, G. L. and Sellers, J. A. (2013) On the dimension of the space of magic squares over a field. Linear Algebra and its Applications, 438(8), pp. 3463-3475. (doi:10.1016/j.laa.2012.12.014)

2012

Lecuona, A. G. (2012) On the slice-ribbon conjecture for Montesinos knots. Transactions of the American Mathematical Society, 364(1), pp. 233-285. (doi:10.1090/S0002-9947-2011-05385-7)

2011

Lecuona, A. G. and Lisca, P. (2011) Stein fillable Seifert fibered 3–manifolds. Algebraic and Geometric Topology, 11(2), pp. 625-642. (doi:10.2140/agt.2011.11.625)

This list was generated on Sat Jul 20 02:01:16 2019 BST.
Jump to: Articles
Number of items: 10.

Articles

Lecuona, A. G. (2019) Complementary legs and rational balls. Michigan Mathematical Journal, (Accepted for Publication)

Aceto, P., Golla, M. and Lecuona, A. G. (2018) Handle decompositions of rational homology balls and Casson–Gordon invariants. Proceedings of the American Mathematical Society, 146(9), pp. 4059-4072. (doi:10.1090/proc/14035)

Lecuona, A. G. (2018) A note on graphs and rational balls. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 112(3), pp. 705-716. (doi:10.1007/s13398-017-0464-x)

Audoux, B., Lecuona, A. G. and Roukema, F. (2018) On hyperbolic knots in S³ with exceptional surgeries at maximal distance. Algebraic and Geometric Topology, 18(4), pp. 2371-2417. (doi:10.2140/agt.2018.18.2371)

Degtyarev, A., Florens, V. and Lecuona, A. G. (2017) The signature of a splice. International Mathematics Research Notices, 2017(8), pp. 2249-2283. (doi:10.1093/imrn/rnw068)

Baker, K. L., Buck, D. and Lecuona, A. G. (2016) Some knots in S¹ x S² with lens space surgeries. Communications in Analysis and Geometry, 24(3), pp. 431-470. (doi:10.4310/CAG.2016.v24.n3.a1)

Lecuona, A. G. (2015) On the slice-ribbon conjecture for pretzel knots. Algebraic and Geometric Topology, 15(4), pp. 2133-2173. (doi:10.2140/agt.2015.15.2133)

Hou, X.-d., Lecuona, A. G., Mullen, G. L. and Sellers, J. A. (2013) On the dimension of the space of magic squares over a field. Linear Algebra and its Applications, 438(8), pp. 3463-3475. (doi:10.1016/j.laa.2012.12.014)

Lecuona, A. G. (2012) On the slice-ribbon conjecture for Montesinos knots. Transactions of the American Mathematical Society, 364(1), pp. 233-285. (doi:10.1090/S0002-9947-2011-05385-7)

Lecuona, A. G. and Lisca, P. (2011) Stein fillable Seifert fibered 3–manifolds. Algebraic and Geometric Topology, 11(2), pp. 625-642. (doi:10.2140/agt.2011.11.625)

This list was generated on Sat Jul 20 02:01:16 2019 BST.

Supervision

Current PhD students

Tanushree Shah