Professor Mark Powell

  • Professor of Mathematics (Mathematics)

Biography

Research interests

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

Research groups

Publications

List by: Type | Date

Jump to: 2025 | 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2014 | 2012
Number of items: 64.

2025

Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) Spanning 3-discs in the 4-sphere pushed into the 5-disc. Rocky Mountain Journal of Mathematics, (Accepted for Publication)

Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) C.T.C. Wall's 1964 articles on 4-manifolds. Journal of the London Mathematical Society, (Accepted for Publication)

Bastl, S. et al. (2025) Algorithms in 4-manifold topology. Algebraic and Geometric Topology, (Accepted for Publication)

Orson, Patrick and Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) Mapping class groups of simply connected 4-manifolds with boundary. Journal of Differential Geometry, 131(1), pp. 199-275. (doi: 10.4310/jdg/1755544135)

Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758, Ray, Arunima and Teichner, Peter (2025) The 4-dimensional disc embedding theorem and dual spheres. Selecta Mathematica, 31(4), 80. (doi: 10.1007/s00029-025-01069-y)

Kasprowski, Daniel, Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 and Teichner, Peter (2025) Algebraic Criteria for Stable Diffeomorphism of Spin 4-manifolds. Series: Memoirs of the American Mathematical Society, 312 (1579). American Mathematical Society. ISBN 9781470475338 (doi: 10.1090/memo/1579)

Kim, Min Hoon and Powell, Mark ORCID logoORCID: 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)

Conway, Anthony, Orson, Patrick and Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) Unknotting nonorientable surfaces. Journal of the European Mathematical Society, (doi: 10.4171/JEMS/1638) (Early Online Publication)

Kasprowski, Daniel, Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 and Teichner, Peter (2025) The Kervaire–Milnor invariant in the stable classification of spin 4-manifolds. Tunisian Journal of Mathematics, 7(2), pp. 417-436. (doi: 10.2140/tunis.2025.7.417)

Conway, Anthony, Piccirillo, Lisa and Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) 4-manifolds with boundary and fundamental group Z. Commentarii Mathematici Helvetici, 100(2), pp. 323-420. (doi: 10.4171/CMH/587)

Friedl, Stefan, Nagel, Matthias, Orson, Patrick and Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) The foundations of four-manifold theory in the topological category. New York Journal of Mathematics Monographs, 6, pp. 1-152.

Conway, Anthony, Crowley, Diarmuid, Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 and Sixt, Joerg (2025) Stably diffeomorphic manifolds and the realisation of modified surgery obstructions = Variétés stablement difféomorphes et la réalisation des obstructions en théorie de la chirurgie modifiée. Series: Memoires de la Société Mathématique de France. Société Mathematique de France. (Accepted for Publication)

2024

Juhasz, Andras and Powell, Mark ORCID logoORCID: 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 logoORCID: 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)

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

Hayden, Kyle, Kjuchukova, Alexandra, Krishna, Siddhi, Miller, Maggie, Powell, Mark ORCID logoORCID: 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)

Orson, Patrick and Powell, Mark ORCID logoORCID: 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 logoORCID: 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)

Miller, Allison N. and Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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)

Behrens, Stefan, Kalmar, Boldizsar, Kim, Min Hoon, Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 and Ray, Arunima (Eds.) (2021) The Disc Embedding Theorem. Oxford University Press: Oxford. ISBN 9780198841319

Orson, Patrick and Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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, Leidy, Constance, Nagel, Matthias and Powell, Mark ORCID logoORCID: 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)

Friedl, Stefan and Powell, Mark ORCID logoORCID: 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)

2016

Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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)

This list was generated on Thu Dec 25 23:59:53 2025 GMT.
Number of items: 64.

Articles

Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) Spanning 3-discs in the 4-sphere pushed into the 5-disc. Rocky Mountain Journal of Mathematics, (Accepted for Publication)

Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) C.T.C. Wall's 1964 articles on 4-manifolds. Journal of the London Mathematical Society, (Accepted for Publication)

Bastl, S. et al. (2025) Algorithms in 4-manifold topology. Algebraic and Geometric Topology, (Accepted for Publication)

Orson, Patrick and Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) Mapping class groups of simply connected 4-manifolds with boundary. Journal of Differential Geometry, 131(1), pp. 199-275. (doi: 10.4310/jdg/1755544135)

Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758, Ray, Arunima and Teichner, Peter (2025) The 4-dimensional disc embedding theorem and dual spheres. Selecta Mathematica, 31(4), 80. (doi: 10.1007/s00029-025-01069-y)

Kim, Min Hoon and Powell, Mark ORCID logoORCID: 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)

Conway, Anthony, Orson, Patrick and Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) Unknotting nonorientable surfaces. Journal of the European Mathematical Society, (doi: 10.4171/JEMS/1638) (Early Online Publication)

Kasprowski, Daniel, Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 and Teichner, Peter (2025) The Kervaire–Milnor invariant in the stable classification of spin 4-manifolds. Tunisian Journal of Mathematics, 7(2), pp. 417-436. (doi: 10.2140/tunis.2025.7.417)

Conway, Anthony, Piccirillo, Lisa and Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) 4-manifolds with boundary and fundamental group Z. Commentarii Mathematici Helvetici, 100(2), pp. 323-420. (doi: 10.4171/CMH/587)

Friedl, Stefan, Nagel, Matthias, Orson, Patrick and Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 (2025) The foundations of four-manifold theory in the topological category. New York Journal of Mathematics Monographs, 6, pp. 1-152.

Juhasz, Andras and Powell, Mark ORCID logoORCID: 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 logoORCID: 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)

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

Hayden, Kyle, Kjuchukova, Alexandra, Krishna, Siddhi, Miller, Maggie, Powell, Mark ORCID logoORCID: 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)

Orson, Patrick and Powell, Mark ORCID logoORCID: 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)

Conway, Anthony, Crowley, Diarmuid and Powell, Mark ORCID logoORCID: 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)

Miller, Allison N. and Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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)

Orson, Patrick and Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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)

Conway, Anthony and Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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)

Friedl, Stefan and Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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)

Nagel, Matthias, Orson, Patrick, Park, JungHwan and Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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)

Miller, Allison N. and Powell, Mark ORCID logoORCID: 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)

Nagel, Matthias and Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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, Leidy, Constance, Nagel, Matthias and Powell, Mark ORCID logoORCID: 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)

Friedl, Stefan and Powell, Mark ORCID logoORCID: 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)

Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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)

Friedl, Stefan, Nagel, Matthias and Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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 logoORCID: 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)

Friedl, Stefan and Powell, Mark ORCID logoORCID: 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 logoORCID: 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 logoORCID: 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)

Books

Kasprowski, Daniel, Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 and Teichner, Peter (2025) Algebraic Criteria for Stable Diffeomorphism of Spin 4-manifolds. Series: Memoirs of the American Mathematical Society, 312 (1579). American Mathematical Society. ISBN 9781470475338 (doi: 10.1090/memo/1579)

Conway, Anthony, Crowley, Diarmuid, Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 and Sixt, Joerg (2025) Stably diffeomorphic manifolds and the realisation of modified surgery obstructions = Variétés stablement difféomorphes et la réalisation des obstructions en théorie de la chirurgie modifiée. Series: Memoires de la Société Mathématique de France. Société Mathematique de France. (Accepted for Publication)

Edited Books

Behrens, Stefan, Kalmar, Boldizsar, Kim, Min Hoon, Powell, Mark ORCID logoORCID: https://orcid.org/0000-0002-4086-8758 and Ray, Arunima (Eds.) (2021) The Disc Embedding Theorem. Oxford University Press: Oxford. ISBN 9780198841319

This list was generated on Thu Dec 25 23:59:53 2025 GMT.

Grants

EPSRC New Investigator grant, Classifying 4-manifolds, 2021 - 2024.

EPSRC New Horizons grant, Symmetries of 4-manifolds, 2021 - 2023.

Supervision