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
Publications
2025
Powell, Mark ORCID: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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 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: 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)
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)
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)
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)
Behrens, Stefan, Kalmar, Boldizsar, Kim, Min Hoon, Powell, Mark ORCID: 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: 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, 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)
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)
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)
Articles
Powell, Mark ORCID: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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 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: 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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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, 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)
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)
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)
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)
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)
Books
Kasprowski, Daniel, Powell, Mark ORCID: 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: 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: https://orcid.org/0000-0002-4086-8758 and Ray, Arunima (Eds.)
(2021)
The Disc Embedding Theorem.
Oxford University Press: Oxford.
ISBN 9780198841319
Grants
EPSRC New Investigator grant, Classifying 4-manifolds, 2021 - 2024.
EPSRC New Horizons grant, Symmetries of 4-manifolds, 2021 - 2023.
Supervision
- Hellsten, Simeon
Concordance of surfaces in 4-manifolds - Kern, Frieda
Low-dimensional topology
