Professor Mark Powell

Professor of Mathematics (Mathematics)

telephone: 5180
email: Mark.Powell@glasgow.ac.uk

Biography

Personal website: https://www.maths.gla.ac.uk/~mpowell/

Research interests

Algebraic and geometric topology, and homological algebra. I specialise in the topology of manifolds, especially in dimensions 3 and 4.

Research groups

Geometry & topology

Publications

List by: Type | Date

Jump to: 2025 | 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2014 | 2012

Number of items: 60.

2025

Kim, Min Hoon and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2025) Smoothly slice knots with smoothly non-approximable topological slice discs. Proceedings of the American Mathematical Society, (Accepted for Publication)

Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758, Ray, Arunima and Teichner, Peter (2025) The 4-dimensional disc embedding theorem and dual spheres. Selecta Mathematica, (Accepted for Publication)

2024

Juhasz, Andras and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2024) Examples of topologically unknotted tori. Transactions of the American Mathematical Society Series B, 11, pp. 1266-1293. (doi: 10.1090/btran/202)

Kasprowski, Daniel, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Teichner, Peter (2024) The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds. Tunisian Journal of Mathematics, (Accepted for Publication)

Conway, Anthony, Orson, Patrick and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2024) Unknotting nonorientable surfaces. Journal of the European Mathematical Society, (Accepted for Publication)

Kasprowski, Daniel, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Ruppik, Benjamin (2024) Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups. Mathematical Proceedings of the Cambridge Philosophical Society, 177(2), pp. 263-283. (doi: 10.1017/S0305004124000227)

Orson, Patrick and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2024) Mapping class groups of simply connected 4-manifolds with boundary. Journal of Differential Geometry, (Accepted for Publication)

Nagy, Csaba, Nicholson, John ORCID: https://orcid.org/0000-0002-5244-5453 and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2024) Simple homotopy types of even dimensional manifolds. arXiv, (doi: 10.48550/arXiv.2312.00322)

Conway, Anthony, Piccirillo, Lisa and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2024) 4-manifolds with boundary and fundamental group Z. Commentarii Mathematici Helvetici, (In Press)

Conway, Anthony, Crowley, Diarmuid, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Sixt, Joerg (2024) Stably diffeomorphic manifolds and the realisation of modified surgery obstructions = Variétés stablement difféomorphes et la réalisation des obstructions en théorie de la chirurgie modifiée. Memoires de la Société Mathématique de France, (Accepted for Publication)

Hayden, Kyle, Kjuchukova, Alexandra, Krishna, Siddhi, Miller, Maggie, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Sunukjian, Nathan (2024) Brunnian exotic surface links in the 4-ball. Michigan Mathematical Journal, (doi: 10.1307/mmj/20226312) (Early Online Publication)

Friedl, Stefan, Nagel, Matthias, Orson, Patrick and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2024) The foundations of four-manifold theory in the topological category. New York Journal of Mathematics, (Accepted for Publication)

Orson, Patrick and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2024) Simple spines of homotopy 2-spheres are unique. Proceedings of the London Mathematical Society, 128(2), e12583. (doi: 10.1112/plms.12583)

2023

Conway, Anthony, Crowley, Diarmuid and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2023) Infinite homotopy stable class for 4-manifolds with boundary. Pacific Journal of Mathematics, 325(2), pp. 209-237. (doi: 10.2140/pjm.2023.325.209)

Kasprowski, Daniel, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Teichner, Peter (2023) Algebraic criteria for stable diffeomorphism of spin 4-manifolds. Memoirs of the American Mathematical Society, (Accepted for Publication)

Miller, Allison N. and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2023) Strongly invertible knots, equivariant slice genera, and an equivariant algebraic concordance group. Journal of the London Mathematical Society, 107(6), pp. 2025-2053. (doi: 10.1112/jlms.12732)

Conway, Anthony and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2023) Embedded surfaces with infinite cyclic knot group. Geometry and Topology, 27(2), pp. 739-821. (doi: 10.2140/gt.2023.27.739)

Kasprowski, Daniel, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758, Ray, Arunima and Teichner, Peter (2023) Embedding surfaces in 4-manifolds. Geometry and Topology, 28(5), pp. 2399-2482. (doi: 10.2140/gt.2024.28.2399)

Kasprowski, Daniel, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Ray, Arunima (2023) Counterexamples in 4-manifold topology. EMS Surveys in Mathematical Sciences, 9(1), pp. 193-249. (doi: 10.4171/EMSS/56)

Feller, Peter, Park, JungHwan and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2023) The Z-genus of boundary links. Revista Matemática Complutense, 36(1), pp. 1-25. (doi: 10.1007/s13163-022-00424-3)

Kasprowski, Daniel, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Ray, Arunima (2023) Gluck twists on concordant or homotopic spheres. Mathematical Research Letters, 30(6), pp. 1787-1811. (doi: 10.4310/MRL.2023.v30.n6.a6)

2022

Orson, Patrick and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2022) Doubly slice knots and metabelian obstructions. Journal of Topology and Analysis, 14(4), pp. 847-873. (doi: 10.1142/S1793525321500229)

Park, JungHwan and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2022) A ribbon obstruction and derivatives of knots. Israel Journal of Mathematics, 250(1), pp. 265-305. (doi: 10.1007/s11856-022-2338-y)

Conway, Anthony, Crowley, Diarmuid, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Sixt, Joerg (2022) Simply connected manifolds with large homotopy stable classes. Journal of the Australian Mathematical Society, (doi: 10.1017/S1446788722000167) (Early Online Publication)

Friedl, Stefan, Kitayama, Takahiro, Lewark, Lukas, Nagel, Matthias and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2022) Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials. Canadian Journal of Mathematics, 74(4), pp. 1137-1176. (doi: 10.4153/S0008414X21000183)

Kasprowski, Daniel, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Teichner, Peter (2022) Four-manifolds up to connected sum with complex projective planes. American Journal of Mathematics, 144(1), pp. 75-118. (doi: 10.1353/ajm.2022.0001)

2021

Conway, Anthony and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2021) Characterisation of homotopy ribbon discs. Advances in Mathematics, 391, 107960. (doi: 10.1016/j.aim.2021.107960)

Orson, Patrick and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2021) A lower bound for the doubly slice genus from signatures. New York Journal of Mathematics, 27, pp. 379-392.

Cha, Jae Choon, Miller, Allison N. and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2021) Two-solvable and two-bipolar knots with large four-genera. Mathematical Research Letters, 28(2), pp. 331-382. (doi: 10.4310/MRL.2021.v28.n2.a2)

Feller, Peter, Miller, Allison N., Nagel, Matthias, Orson, Patrick, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Ray, Arunima (2021) Embedding spheres in knot traces. Compositio Mathematica, 157(10), pp. 2242-2279. (doi: 10.1112/s0010437x21007508)

Kim, Min Hoon, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Teichner, Peter (2021) Round handle problem. Pure and Applied Mathematics Quarterly, 17(1), pp. 237-347. (doi: 10.4310/PAMQ.2021.v17.n1.a6)

2020

Friedl, Stefan and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2020) Homotopy ribbon concordance and Alexander polynomials. Archiv der Mathematik, 115(6), pp. 717-725. (doi: 10.1007/s00013-020-01517-5)

Cha, Jae Choon, Kim, Min Hoon and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2020) A family of freely slice good boundary links. Mathematische Annalen, 376(3-4), pp. 1009-1030. (doi: 10.1007/s00208-019-01907-3)

Cha, Jae Choon, Orr, Kent E. and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2020) Whitney towers and abelian invariants of knots. Mathematische Zeitschrift, 294(1-2), pp. 519-553. (doi: 10.1007/s00209-019-02293-x)

Davis, Christopher W., Nagel, Matthias, Orson, Patrick and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2020) Surface systems and triple linking numbers. Indiana University Mathematics Journal, 69(7), pp. 2505-2547. (doi: 10.1512/iumj.2020.69.8081)

2019

Nagel, Matthias, Orson, Patrick, Park, JungHwan and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2019) Smooth and topological almost concordance. International Mathematics Research Notices, 2019(23), pp. 7324-7355. (doi: 10.1093/imrn/rnx338)

Friedl, Stefan, Nagel, Matthias, Orson, Patrick and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2019) Satellites and concordance of knots in 3–manifolds. Transactions of the American Mathematical Society, 371(4), pp. 2279-2306. (doi: 10.1090/tran/7313)

Miller, Allison N. and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2019) Stabilization distance between surfaces. L’Enseignement Mathématique, 65(3/4), pp. 397-440. (doi: 10.4171/lem/65-3/4-4)

2018

Miller, Allison N. and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2018) Symmetric chain complexes, twisted Blanchfield pairings and knot concordance. Algebraic and Geometric Topology, 18(6), pp. 3425-2476. (doi: 10.2140/agt.2018.18.3425)

2017

Nagel, Matthias and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2017) Concordance invariance of Levine-Tristram signatures of links. Documenta Mathematica, 22, pp. 25-43. (doi: 10.25537/dm.2017v22.25-43)

Kasprowski, Daniel, Land, Markus, Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 and Teichner, Peter (2017) Stable classification of 4-manifolds with 3-manifold fundamental groups. Journal of Topology, 10(3), pp. 827-881. (doi: 10.1112/topo.12025)

Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758, Cochran, Tim D. and Harvey, Shelly (2017) Grope metrics on the knot concordance set. Journal of Topology, 10(3), pp. 669-699. (doi: 10.1112/topo.12018)

Cha, Jae Choon, Friedl, Stefan and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2017) Splitting numbers of links. Proceedings of the Edinburgh Mathematical Society, 60(3), pp. 587-614. (doi: 10.1017/S0013091516000420)

Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2017) The four-genus of a link, Levine–Tristram signatures and satellites. Journal of Knot Theory and Its Ramifications, 26(2), 1740008. (doi: 10.1142/s0218216517400089)

Friedl, Stefan and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2017) A calculation of Blanchfield pairings of 3-manifolds and knots. Moscow Mathematical Journal, 17(1), pp. 59-77. (doi: 10.17323/1609-4514-2017-17-1-59-77)

Fruedk, Stefan, Leidy, Constance, Nagel, Matthias and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2017) Twisted Blanchfield pairings and decompositions of 3-manifolds. Homology, Homotopy and Applications, 19(2), pp. 275-287. (doi: 10.4310/HHA.2017.v19.n2.a14)

2016

Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2016) Twisted Blanchfield pairings and symmetric chain complexes. Quarterly Journal of Mathematics, 67(4), pp. 715-742. (doi: 10.1093/qmath/haw028)

Cha, Jae Choon and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2016) Casson towers and slice links. Inventiones Mathematicae, 205(2), pp. 413-457. (doi: 10.1007/s00222-015-0639-z)

Borodzik, Maciej, Friedl, Stefan and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2016) Blanchfield forms and Gordian distance. Journal of the Mathematical Society of Japan, 68(3), pp. 1047-1080. (doi: 10.2969/jmsj/06831047)

Borodzik, Maciej and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2016) Embedded Morse theory and relative splitting of cobordisms of manifolds. Journal of Geometric Analysis, 26(1), pp. 57-87. (doi: 10.1007/s12220-014-9538-6)

2014

Friedl, Stefan, Nagel, Matthias and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2014) A specious unlinking strategy. Periodica Mathematica Hungarica, 69(2), pp. 207-210. (doi: 10.1007/s10998-014-0063-y)

Cha, Jae Choon, Friedl, Stefan and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2014) Concordance of links with identical Alexander invariants. Bulletin of the London Mathematical Society, 46(3), pp. 629-642. (doi: 10.1112/blms/bdu002)

Friedl, Stefan and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2014) Links not concordant to the Hopf link. Mathematical Proceedings of the Cambridge Philosophical Society, 156(3), pp. 425-459. (doi: 10.1017/S0305004114000036)

Friedl, Stefan and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2014) Cobordisms to weakly splittable links. Proceedings of the American Mathematical Society, 142(2), pp. 703-712. (doi: 10.1090/S0002-9939-2013-11792-2)

Cha, Jae Choon and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2014) Covering link calculus and the bipolar filtration of topologically slice links. Geometry and Topology, 18(3), pp. 1539-1579. (doi: 10.2140/gt.2014.18.1539)

Cha, Jae Choon and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2014) Nonconcordant links with homology cobordant zero-framed surgery manifolds. Pacific Journal of Mathematics, 272(1), pp. 1-33. (doi: 10.2140/PJM.2014.272.1)

Kasprowski, Daniel and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2014) Shrinking of toroidal decomposition spaces. Fundamenta Mathematicae, 227, pp. 271-296. (doi: 10.4064/fm227-3-3)

2012

Friedl, Stefan and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2012) An injectivity theorem for Casson-Gordon type representations relating to the concordance of knots and links. Bulletin of the Korean Mathematical Society, 49(2), pp. 395-409. (doi: 10.4134/BKMS.2012.49.2.395)

Balm, Cheryl, Friedl, Stefan, Kalfagianni, Efstratia and Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2012) Cosmetic crossings and Seifert matrices. Communications in Analysis and Geometry, 20(2), pp. 235-253. (doi: 10.4310/CAG.2012.v20.n2.a1)

Powell, Mark ORCID: https://orcid.org/0000-0002-4086-8758 (2012) A second order algebraic knot concordance group. Algebraic and Geometric Topology, 12(2), pp. 685-751. (doi: 10.2140/agt.2012.12.685)

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