Professor Ana Garcia Lecuona

  • Professor of Mathematics (Mathematics)

telephone: 0141 330 6140
email: Ana.Lecuona@glasgow.ac.uk
pronouns: She/her/hers

Room 438, Maths & Stats Building

Import to contacts

ORCID iDhttps://orcid.org/0000-0001-5594-3661

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.

Personal webpage

Research groups

Publications

List by: Type | Date

Jump to: 2022 | 2021 | 2019 | 2018 | 2017 | 2016 | 2015 | 2013 | 2012 | 2011
Number of items: 14.

2022

Bédaride, N., Gähler, F. and Lecuona, A. G. (2022) Cohomology Groups for Spaces of Twelve-Fold Tilings. International Mathematics Research Notices, 2022(18), pp. 14181-14254. (doi: 10.1093/imrn/rnab117)

Degtyarev, A., Florens, V. and Lecuona, A. G. (2022) Slopes and signatures of links. Fundamenta Mathematicae, 258(1), pp. 65-114. (doi: 10.4064/fm136-1-2022)

2021

Kasprowski, D., Lambert-Cole, P., Land, M. and Lecuona, A. G. (2021) Topologically flat embedded 2-spheres in specific simply connected 4-manifolds. In: Wood, D. R., de Gier, J., Praeger, C. E. and Tao, T. (eds.) 2019-20 MATRIX Annals. Series: MATRIX book series (4). Springer: Cham, pp. 111-116. ISBN 9783030624965 (doi: 10.1007/978-3-030-62497-2_4)

Degtyarev, A., Florens, V. and Lecuona, A. G. (2021) Slopes of links and signature formulas. In: Vershik, A. M., Vuchstaber, V. M. and Malyutin, A. V. (eds.) Topology, Geometry, and Dynamics. Series: Contemporary mathematics (772). American Mathematical Society: Providence, Rhode Island, pp. 93-105. ISBN 9781470456641 (doi: 10.1090/conm/772/15483)

2019

Lecuona, A. G. (2019) Complementary legs and rational balls. Michigan Mathematical Journal, 68(3), pp. 637-649. (doi: 10.1307/mmj/1561708817)

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 May 18 09:00:34 2024 BST.
Number of items: 14.

Articles

Bédaride, N., Gähler, F. and Lecuona, A. G. (2022) Cohomology Groups for Spaces of Twelve-Fold Tilings. International Mathematics Research Notices, 2022(18), pp. 14181-14254. (doi: 10.1093/imrn/rnab117)

Degtyarev, A., Florens, V. and Lecuona, A. G. (2022) Slopes and signatures of links. Fundamenta Mathematicae, 258(1), pp. 65-114. (doi: 10.4064/fm136-1-2022)

Lecuona, A. G. (2019) Complementary legs and rational balls. Michigan Mathematical Journal, 68(3), pp. 637-649. (doi: 10.1307/mmj/1561708817)

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)

Book Sections

Kasprowski, D., Lambert-Cole, P., Land, M. and Lecuona, A. G. (2021) Topologically flat embedded 2-spheres in specific simply connected 4-manifolds. In: Wood, D. R., de Gier, J., Praeger, C. E. and Tao, T. (eds.) 2019-20 MATRIX Annals. Series: MATRIX book series (4). Springer: Cham, pp. 111-116. ISBN 9783030624965 (doi: 10.1007/978-3-030-62497-2_4)

Degtyarev, A., Florens, V. and Lecuona, A. G. (2021) Slopes of links and signature formulas. In: Vershik, A. M., Vuchstaber, V. M. and Malyutin, A. V. (eds.) Topology, Geometry, and Dynamics. Series: Contemporary mathematics (772). American Mathematical Society: Providence, Rhode Island, pp. 93-105. ISBN 9781470456641 (doi: 10.1090/conm/772/15483)

This list was generated on Sat May 18 09:00:34 2024 BST.

Supervision

  • Hayes, El
    Interactions between topology and geometry in low dimensions
  • Niu, Weizhe
    Mapping class groups of 4-manifolds via barbell diffeomorphisms, Budney-Gabai invariants and handle structures