Geometry & topology

Staff

Publications

2023

Brown, K., Carvalho, P. A.A.B., Matczuk, J. (2023) Critical and injective modules over skew polynomial rings Journal of Pure and Applied Algebra, 227, (doi: 10.1016/j.jpaa.2023.107441)

Boyd, R., Kastenholz, T., Mutanguha, J. P. (2023) The minimal genus problem for right angled Artin groups Geometriae Dedicata, 217, (doi: 10.1007/s10711-023-00815-w)

Bellamy, G. (2023) Coulomb branches have symplectic singularities Letters in Mathematical Physics,

Hayden, K., Kjuchukova, A., Krishna, S., Miller, M., Powell, M., Sunukjian, N. (2023) Brunnian exotic surface links in the 4-ball Michigan Mathematical Journal,

Gadre, V., Hensel, S. (2023) Linear progress in fibres Groups, Geometry and Dynamics,

Greene, J. E., Owens, B. (2023) Alternating links, rational balls, and cube tilings Journal of the European Mathematical Society,

Li, X., Raad, A. I. (2023) Constructing C*-diagonals in AH-algebras Transactions of the American Mathematical Society,

Azemar, A., Gadre, V., Gouëzel, S., Haettel, T., Lessa, P., Uyanik, C. (2023) Random walk speed is a proper function on Teichmüller space Journal of Modern Dynamics,

Kasprowski, D., Powell, M., Teichner, P. (2023) Algebraic criteria for stable diffeomorphism of spin 4-manifolds Memoirs of the American Mathematical Society,

Miller, A. N., Powell, M. (2023) Strongly invertible knots, equivariant slice genera, and an equivariant algebraic concordance group Journal of the London Mathematical Society, 107, pp. 2025-2053. (doi: 10.1112/jlms.12732)

Bell, J. P., Brown, K., Nazemian, Z., Smertnig, D. (2023) On noncommutative bounded factorization domains and prime rings Journal of Algebra, 622, pp. 404-449. (doi: 10.1016/j.jalgebra.2023.01.023)

Li, X. (2023) Left regular representations of Garside categories I. C*-algebras and groupoids Glasgow Mathematical Journal, 65, pp. S53-S86. (doi: 10.1017/S0017089522000106)

Belk, J., Matucci, F. (2023) Conjugator length in Thompson’s groups Bulletin of the London Mathematical Society, 55, pp. 793-810. (doi: 10.1112/blms.12757)

Brendle, T., Broaddus, N., Putman, A. (2023) The mapping class group of connect sums of S2 x S1 Transactions of the American Mathematical Society, 376, pp. 2557-2572. (doi: 10.1090/tran/8758)

Kasprowski, D., Powell, M., Ray, A., Teichner, P. (2023) Embedding surfaces in 4-manifolds Geometry and Topology,

Kasprowski, D., Powell, M., Ray, A. (2023) Gluck twists on concordant or homotopic spheres Mathematical Research Letters,

Bellamy, G., Thiel, U. (2023) The Rank One property for free Frobenius extensions Comptes Rendus Mathematique,

Owens, B., Swenton, F. (2023) An algorithm to find ribbon disks for alternating knots Experimental Mathematics, (doi: 10.1080/10586458.2022.2158968)

Skalski, A., Vergnioux, R., Voigt, C. (2023) Hecke algebras and the Schlichting completion for discrete quantum groups Journal of the London Mathematical Society, 107, pp. 843-885. (doi: 10.1112/jlms.12701)

Pressland, M. (2023) A categorification of acyclic principal coefficient cluster algebras Nagoya Mathematical Journal, (doi: 10.1017/nmj.2023.6)

Kasprowski, D., Powell, M., Ray, A. (2023) Counterexamples in 4-manifold topology EMS Surveys in Mathematical Sciences, 9, pp. 193-249. (doi: 10.4171/EMSS/56)

Voigt, C. (2023) Infinite quantum permutations Advances in Mathematics, 415, (doi: 10.1016/j.aim.2023.108887)

Bruce, C., Li, X. (2023) On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids American Journal of Mathematics, 145, pp. 251-285. (doi: 10.1353/ajm.2023.0005)

Dervan, R., Legendre, E. (2023) Valuative stability of polarised varieties Mathematische Annalen, 385, pp. 357-391. (doi: 10.1007/s00208-021-02313-4)

Bellamy, G., Bonnafé, C., Fu, B., Juteau, D., Levy, P., Sommers, E. (2023) A new family of isolated symplectic singularities with trivial local fundamental group Proceedings of the London Mathematical Society, (doi: 10.1112/plms.12513)

Bellamy, G., Schmitt, J., Thiel, U. (2023) On parabolic subgroups of symplectic reflection groups Glasgow Mathematical Journal, (doi: 10.1017/S0017089522000416)

Feller, P., Park, J., Powell, M. (2023) The Z-genus of boundary links Revista Matemática Complutense, 36, pp. 1-25. (doi: 10.1007/s13163-022-00424-3)

Brown, K.A., Couto, M., Jahn, A. (2023) The finite dual of commutative-by-finite Hopf algebras Glasgow Mathematical Journal, 65, pp. 62-89. (doi: 10.1017/S0017089522000052)

Gadre, V. (2023) Weil--Petersson geodesics on the modular surface Mathematische Zeitschrift, 303, (doi: 10.1007/s00209-022-03171-9)

Belk, J., Elliott, L., Matucci, F. (2023) A short proof of Rubin’s theorem Israel Journal of Mathematics,

Chen, C., Li, X. (2023) Semigroup C*-algebras arising from graphs of monoids International Mathematics Research Notices, (doi: 10.1093/imrn/rnac332)

Kakariadis, E. T.A., Katsoulis, E. G., Li, X. (2023) Stable isomorphisms of operator algebras International Mathematics Research Notices,

Boyd, R., Hepworth, R. (2023) The homology of the Temperley-Lieb algebras Geometry and Topology,

2022

Baker, A. (2022) Locally Frobenius algebras and Hopf algebras

Baker, A. (2022) On P-algebras and their duals

Feigin, M., Vrabec, M. (2022) Bispectrality of AG2 Calogero–Moser–Sutherland system Mathematical Physics, Analysis and Geometry, 25, (doi: 10.1007/s11040-022-09440-7)

Li, X. (2022) Constructing Menger manifold C*-diagonals in classifiable C*-algebras International Mathematics Research Notices, 2022, pp. 18992-19053. (doi: 10.1093/imrn/rnab199)

Orson, P., Powell, M. (2022) Doubly slice knots and metabelian obstructions Journal of Topology and Analysis, 14, pp. 847-873. (doi: 10.1142/S1793525321500229)

Belk, J., Lanier, J., Margalit, D., Winarski, R. R. (2022) Recognizing topological polynomials by lifting trees Duke Mathematical Journal, 171, pp. 3401-3480. (doi: 10.1215/00127094-2022-0043)

Owens, B., Strle, S. (2022) Disoriented homology and double branched covers Canadian Journal of Mathematics, (doi: 10.4153/S0008414X22000591)

Azemar, A. (2022) Random walks on convergence groups Groups, Geometry and Dynamics, 16, pp. 581-612. (doi: 10.4171/ggd/654)

Boyd, R., Charney, R., Morris-Wright, R. (2022) A Deligne complex for Artin monoids Journal of Algebra, 607, pp. 53-78. (doi: 10.1016/j.jalgebra.2021.03.015)

Park, J., Powell, M. (2022) A ribbon obstruction and derivatives of knots Israel Journal of Mathematics, 250, pp. 265-305. (doi: 10.1007/s11856-022-2338-y)

Conway, A., Crowley, D., Powell, M., Sixt, J. (2022) Simply connected manifolds with large homotopy stable classes Journal of the Australian Mathematical Society, (doi: 10.1017/S1446788722000167)

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

Bellamy, G., Gunningham, S., Raskin, S. (2022) Projective generation for equivariant D-modules Transformation Groups, 27, pp. 737-749. (doi: 10.1007/s00031-021-09660-1)

Bellamy, G., Thiel, U. (2022) Cellularity of endomorphism algebras of tilting objects Advances in Mathematics, 404, (doi: 10.1016/j.aim.2022.108387)

Friedl, S., Kitayama, T., Lewark, L., Nagel, M., Powell, M. (2022) Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials Canadian Journal of Mathematics, 74, pp. 1137-1176. (doi: 10.4153/S0008414X21000183)

Brown, K., Tabiri, A. A. (2022) Plane curves which are quantum homogenous spaces Algebras and Representation Theory, 25, pp. 889-922. (doi: 10.1007/s10468-021-10052-y)

Voigt, C. (2022) On the assembly map for complex semisimple quantum groups International Mathematics Research Notices, 2022, pp. 9603-9632. (doi: 10.1093/imrn/rnaa370)

Athorne, C. (2022) Gauß–Manin from scratch: theme, variations and fantasia Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478, (doi: 10.1098/rspa.2022.0217)

Feigin, M., Hakobyan, T. (2022) Algebra of Dunkl Laplace–Runge–Lenz vector Letters in Mathematical Physics, 112, (doi: 10.1007/s11005-022-01551-0)

Kakariadis, E. T.A., Katsoulis, E. G., Laca, M., Li, X. (2022) Boundary quotient C*-algebras of semigroups Journal of the London Mathematical Society, 105, pp. 2136-2166. (doi: 10.1112/jlms.12557)

Wilson, A. (2022) Maths Inside Photo Exhibition 2022, Kibble Palace, Glasgow Botanical Gardens

Dor-On, A., Kakariadis, E.T.A., Katsoulis, E., Laca, M., Li, X. (2022) C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems Advances in Mathematics, 400, (doi: 10.1016/j.aim.2022.108286)

Gadre, V., Matheus, C. (2022) Cusp excursions of random geodesics in Weil-Petersson type metrics Journal of Differential Geometry, 121, pp. 31-55. (doi: 10.4310/jdg/1656005495)

Pressland, M., Sauter, J. (2022) On quiver Grassmannians and orbit closures for gen-finite modules Algebras and Representation Theory, 25, pp. 413-445. (doi: 10.1007/s10468-021-10028-y)

Azemar, A., Gadre, V., Jeffreys, L. (2022) Statistical hyperbolicity for harmonic measure International Mathematics Research Notices, 2022, pp. 6289-6309. (doi: 10.1093/imrn/rnaa277)

Brejevs, V., Wand, A. (2022) Stein-fillable open books of genus one that do not admit positive factorisations Mathematical Research Letters,

Brendle, T., Broaddus, N., Putman, A. (2022) The high-dimensional cohomology of the moduli space of curves with level structures II: punctures and boundary Israel Journal of Mathematics,

Kasprowski, D., Powell, M., Teichner, P. (2022) Four-manifolds up to connected sum with complex projective planes American Journal of Mathematics, 144, pp. 75-118. (doi: 10.1353/ajm.2022.0001)

Li, X. (2022) K-theory for semigroup C*-algebras and partial crossed products Communications in Mathematical Physics, 390, pp. 1-32. (doi: 10.1007/s00220-021-04194-9)

Pressland, M., Sauter, J. (2022) Special tilting modules for algebras with positive dominant dimension Glasgow Mathematical Journal, 64, pp. 79-105. (doi: 10.1017/S0017089520000609)

Pressland, M. (2022) Calabi–Yau properties of Postnikov diagrams Forum of Mathematics, Sigma, 10, (doi: 10.1017/fms.2022.52)

Belk, J., Hyde, J., Matucci, F. (2022) Embedding Q into a finitely presented group Bulletin of the American Mathematical Society, 59, pp. 561-567. (doi: 10.1090/bull/1762)

Brown, K. A., Zhang, J. J. (2022) Iterated Hopf Ore extensions in positive characteristic Journal of Noncommutative Geometry, 16, pp. 787-837. (doi: 10.4171/jncg/453)

Brannan, M., Eifler, K., Voigt, C., Weber, M. (2022) Quantum Cuntz-Krieger algebras Transactions of the American Mathematical Society, 9, pp. 782-826. (doi: 10.1090/btran/88)

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

Belk, J., Zaremsky, M. C. B. (2022) Twisted Brin-Thompson groups Geometry and Topology, 26, pp. 1189-1223. (doi: 10.2140/gt.2022.26.1189)

2021

Kakariadis, E. T.A., Katsoulis, E. G., Laca, M., Li, X. (2021) Co-universality and controlled maps on product systems over right LCM-semigroups Analysis and PDE,

Owens, B. (2021) Knots and 4-manifolds Winter Braids Lecture Notes, 6, (doi: 10.5802/wbln.28)

Conway, A., Powell, M. (2021) Embedded surfaces with infinite cyclic knot group Geometry and Topology,

Conway, A., Powell, M. (2021) Characterisation of homotopy ribbon discs Advances in Mathematics, 391, (doi: 10.1016/j.aim.2021.107960)

Walton, J. J., Whittaker, M. F. (2021) An aperiodic tile with edge-to-edge orientational matching rules Journal of the Institute of Mathematics of Jussieu, (doi: 10.1017/S1474748021000517)

Dervan, R., Sektnan, L. M. (2021) Optimal symplectic connections on holomorphic submersions Communications on Pure and Applied Mathematics, 74, pp. 2132-2184. (doi: 10.1002/cpa.21930)

Dervan, R., Sektnan, L. M. (2021) Moduli theory, stability of fibrations and optimal symplectic connections Geometry and Topology, 25, pp. 2643-2697. (doi: 10.2140/gt.2021.25.2643)

Gadre, V. (2021) Trimmed sums of twists and the area Siegel-Veech constant Manuscripta Mathematica, 166, pp. 91-99. (doi: 10.1007/s00229-020-01226-x)

Boyd, R., Hepworth, R., Patzt, P. (2021) The homology of the Brauer algebras Selecta Mathematica, 27, (doi: 10.1007/s00029-021-00697-4)

Bellamy, G., Brown, R., Cleland Woods, H., Labrosse, N., Senn, H., Singer, J., Vezza, M. (2021) Togetherness: the central tenet of an effective institutional online pivot Journal of Perspectives in Applied Academic Practice, 9, pp. 82-90. (doi: 10.14297/jpaap.v9i2.491)

Boyd, R., Hepworth, R. (2021) Combinatorics of injective words for Temperley-Lieb algebras Journal of Combinatorial Theory, Series A, 181, (doi: 10.1016/j.jcta.2021.105446)

Feigin, M. V., Hallnäs, M. A., Veselov, A. P. (2021) Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence Communications in Mathematical Physics, 386, pp. 107-141. (doi: 10.1007/s00220-021-04036-8)

(2021) The Disc Embedding Theorem

Brown, K.A., Zhang, J.J. (2021) Survey on Hopf algebras of GK-dimension 1 and 2 Contemporary Mathematics, 771, pp. 43-62. (doi: 10.1090/conm/771/15507)

Bellamy, G., Schedler, T. (2021) Symplectic resolutions of quiver varieties Selecta Mathematica, 27, (doi: 10.1007/s00029-021-00647-0)

Voigt, C., Yuncken, R. (2021) The Plancherel formula for complex semisimple quantum groups Annales Scientifiques de l'École Normale Supérieure,

Bellamy, G., Boos, M. (2021) Semisimplicity of the category of admissible D-modules Kyoto Journal of Mathematics, 61, pp. 115-170. (doi: 10.1215/21562261-2020-0006)

Kutluhan, C., Matic, G., Van Horn Morris, J., Wand, A. (2021) Filtering the Heegaard Floer contact invariant Geometry and Topology,

Dervan, R., Sektnan, L. M. (2021) Uniqueness of optimal symplectic connections Forum of Mathematics, Sigma, 9, (doi: 10.1017/fms.2021.15)

Baker, A. (2021) On the dual of a P-algebra and its comodules, with applications to comparison of some Bousfield classes

Orson, P., Powell, M. (2021) A lower bound for the doubly slice genus from signatures New York Journal of Mathematics, 27, pp. 379-392.

Li, X., Omland, T., Spielberg, J. (2021) C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type Communications in Mathematical Physics, 381, pp. 1263-1308. (doi: 10.1007/s00220-020-03758-5)

Stedman, R., Strachan, I. A.B. (2021) Extended ⋁-systems and trigonometric solutions to the WDVV equations Journal of Mathematical Physics, 62, (doi: 10.1063/5.0024108)

Kasprowski, D., Lambert-Cole, P., Land, M., Lecuona, A. G. (2021) Topologically flat embedded 2-spheres in specific simply connected 4-manifolds Springer

Bell, M., Delecroix, V., Gadre, V., Gutiérrez-Romo, R., Schleimer, S. (2021) The flow group of rooted abelian or quadratic differentials arXiv,

Dervan, R., Sektnan, L. M. (2021) Hermitian Yang–Mills connections on blowups Journal of Geometric Analysis, 31, pp. 516-542. (doi: 10.1007/s12220-019-00286-0)

Strachan, I. A.B., Bridgeland, T. (2021) Complex hyperkähler structures defined by Donaldson–Thomas invariants Letters in Mathematical Physics, 111, (doi: 10.1007/s11005-021-01388-z)

Feller, P., Miller, A. N., Nagel, M., Orson, P., Powell, M., Ray, A. (2021) Embedding spheres in knot traces Compositio Mathematica, 157, pp. 2242-2279. (doi: 10.1112/s0010437x21007508)

Belk, J., Bleak, C., Matucci, F. (2021) Rational embeddings of hyperbolic groups Journal of Combinatorial Algebra, 5, pp. 123-183. (doi: 10.4171/JCA/52)

Kim, M. H., Powell, M., Teichner, P. (2021) Round handle problem Pure and Applied Mathematics Quarterly, 17, pp. 237-347. (doi: 10.4310/PAMQ.2021.v17.n1.a6)

Degtyarev, A., Florens, V., Lecuona, A. G. (2021) Slopes of links and signature formulas American Mathematical Society

Cha, J. C., Miller, A. N., Powell, M. (2021) Two-solvable and two-bipolar knots with large four-genera Mathematical Research Letters, 28, pp. 331-382. (doi: 10.4310/MRL.2021.v28.n2.a2)

2020

Alkadhem, M., Feigin, M. (2020) Trigonometric V-systems and solutions of WDVV equations Journal of Physics A: Mathematical and Theoretical, 54, (doi: 10.1088/1751-8121/abccf8)

Friedl, S., Powell, M. (2020) Homotopy ribbon concordance and Alexander polynomials Archiv der Mathematik, 115, pp. 717-725. (doi: 10.1007/s00013-020-01517-5)

Boyd, R. (2020) The low-dimensional homology of finite-rank Coxeter groups Algebraic and Geometric Topology, 20, pp. 2609-2655. (doi: 10.2140/agt.2020.20.2609)

Bellamy, G., Craw, A. (2020) Birational geometry of symplectic quotient singularities Inventiones Mathematicae, 222, pp. 399-468. (doi: 10.1007/s00222-020-00972-9)

Uuye, O., Zacharias, J. (2020) The Fubini product and its applications Bulletin of the Malaysian Mathematical Sciences Society, 43, pp. 4041-4061. (doi: 10.1007/s40840-020-00909-8)

Antoun, J., Voigt, C. (2020) On bicolimits of C*-categories Theory and Applications of Categories, 35, pp. 1683-1725.

Mampusti, M., Whittaker, M. F. (2020) An aperiodic monotile that forces nonperiodicity through dendrites Bulletin of the London Mathematical Society, 52, pp. 942-959. (doi: 10.1112/blms.12375)

Barlak, S., Li, X. (2020) Cartan subalgebras and the UCT problem, II Mathematische Annalen, 378, pp. 255-287. (doi: 10.1007/s00208-020-02022-4)

Bartel, A., Lenstra Jr., H. W. (2020) On class groups of random number fields Proceedings of the London Mathematical Society, 121, pp. 927-953. (doi: 10.1112/plms.12343)

Easo, P., Garijo, E., Kaubrys, S., Nkansah, D., Vrabec, M., Watt, D., Wilson, C., Bönicke, C., Evington, S., Forough, M., Girón Pacheco, S., Seaton, N., White, S., Whittaker, M. F., Zacharias, J. (2020) The Cuntz-Toeplitz algebras have nuclear dimension one Journal of Functional Analysis, 279, (doi: 10.1016/j.jfa.2020.108690)

Voigt, C., Yuncken, R. (2020) Complex Semisimple Quantum Groups and Representation Theory Springer

Athorne, C. (2020) Equivariance and algebraic relations for curves Journal of Geometry and Physics, 155, (doi: 10.1016/j.geomphys.2020.103748)

Boyd, R. (2020) Homological stability for Artin monoids Proceedings of the London Mathematical Society, 121, pp. 537-583. (doi: 10.1112/plms.12335)

Dervan, R. (2020) K-semistability of optimal degenerations Quarterly Journal of Mathematics, 71, pp. 989-995. (doi: 10.1093/qmathj/haaa012)

Gadre, V., Maher, J. (2020) Recurrence of quadratic differentials for harmonic measure Mathematical Proceedings of the Cambridge Philosophical Society, 169, pp. 299-305. (doi: 10.1017/S0305004119000185)

Owens, B. (2020) Smooth, nonsymplectic embeddings of rational balls in the complex projective plane Quarterly Journal of Mathematics, 71, pp. 997-1007. (doi: 10.1093/qmathj/haaa013)

Dervan, R., Székelyhidi, G. (2020) The Kähler–Ricci flow and optimal degenerations Journal of Differential Geometry, 116, pp. 187-203. (doi: 10.4310/jdg/1599271255)

Alkadhem, M., Antoniou, G., Feigin, M. (2020) Solutions of BCn type of WDVV equations American Mathematical Society

Baird, N., Shah, T. B., Clacy, A., Gerontogiannis, D., Mackenzie, J., Nkansah, D., Quinn, J., Spencer-Wood, H., Thomson, K., Wilson, A. (2020) maths inside Resource Suite with Interdisciplinary Learning Activities (doi: 10.36399/gla.pubs.234071)

Cha, J. C., Kim, M. H., Powell, M. (2020) A family of freely slice good boundary links Mathematische Annalen, 376, pp. 1009-1030. (doi: 10.1007/s00208-019-01907-3)

Dervan, R., Sektnan, L. M. (2020) Extremal metrics on fibrations Proceedings of the London Mathematical Society, 120, pp. 587-616. (doi: 10.1112/plms.12297)

Baker, A. (2020) Homotopy theory of modules over a commutative $S-algebra: some tools and examples arXiv,

Pressland, M. (2020) Mutation of frozen Jacobian algebras Journal of Algebra, 546, pp. 236-273. (doi: 10.1016/j.jalgebra.2019.10.035)

Bellamy, G., Boos, M. (2020) The (cyclic) enhanced nilpotent cone via quiver representations Manuscripta Mathematica, 161, pp. 333-362. (doi: 10.1007/s00229-018-1098-9)

Li, X. (2020) Every classifiable simple C*-algebra has a Cartan subalgebra Inventiones Mathematicae, 219, pp. 653-699. (doi: 10.1007/s00222-019-00914-0)

Cha, J. C., Orr, K. E., Powell, M. (2020) Whitney towers and abelian invariants of knots Mathematische Zeitschrift, 294, pp. 519-553. (doi: 10.1007/s00209-019-02293-x)

Baker, A. (2020) Power operations in K-theory completed at a prime Tbilisi Mathematical Journal, pp. 33-49.

Davis, C. W., Nagel, M., Orson, P., Powell, M. (2020) Surface systems and triple linking numbers Indiana University Mathematics Journal, 69, pp. 2505-2547. (doi: 10.1512/iumj.2020.69.8081)

Baker, A., Bauer, T. (2020) The realizability of some finite-length modules over the Steenrod algebra by spaces Algebraic and Geometric Topology, 20, pp. 2129-2143. (doi: 10.2140/agt.2020.20.2129)

2019

Bellamy, G. (2019) Rational Cherednik algebras and Schubert cells Algebras and Representation Theory, 22, pp. 1533-1567. (doi: 10.1007/s10468-018-9831-3)

Nagel, M., Orson, P., Park, J., Powell, M. (2019) Smooth and topological almost concordance International Mathematics Research Notices, 2019, pp. 7324-7355. (doi: 10.1093/imrn/rnx338)

Dervan, R., Keller, J. (2019) A finite dimensional approach to Donaldson’s J‑flow Communications in Analysis and Geometry, 27, pp. 1025-1085. (doi: 10.4310/CAG.2019.v27.n5.a2)

Li, X. (2019) K-theory for generalized Lamplighter groups Proceedings of the American Mathematical Society, 147, pp. 4371-4378. (doi: 10.1090/proc/14619)

Bellamy, G., Schedler, T. (2019) On symplectic resolutions and factoriality of Hamiltonian reductions Mathematische Annalen, 375, pp. 165-176. (doi: 10.1007/s00208-019-01851-2)

Athorne, C. (2019) Equivariance in the Theory of Higher Genus ℘-Functions (doi: 10.1063/1.5125069)

Bell, M., Delecroix, V., Gadre, V., Gutierrez-Romo, R., Schleimer, S. (2019) Coding Teichmuller flow using veering triangulations arXiv,

Dervan, R., Ross, J. (2019) Stable maps in higher dimensions Mathematische Annalen, 374, pp. 1033-1073. (doi: 10.1007/s00208-018-1706-8)

Li, X., Renault, J. (2019) Cartan subalgebras in C*-algebras. Existence and uniqueness Transactions of the American Mathematical Society, 372, pp. 1985-2010. (doi: 10.1090/tran/7654)

Bosa, J., Tornetta, G., Zacharias, J. (2019) A bivariant theory for the Cuntz semigroup Journal of Functional Analysis, 277, pp. 1061-1111. (doi: 10.1016/j.jfa.2019.05.002)

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

Szabo, G., Wu, J., Zacharias, J. (2019) Rokhlin dimension for actions of residually finite groups Ergodic Theory and Dynamical Systems, 39, pp. 2248-2304. (doi: 10.1017/etds.2017.113)

Dubrovin, B., Strachan, I. A.B., Zhang, Y., Zuo, D. (2019) Extended affine Weyl groups of BCD-type: their Frobenius manifolds and their Landau-Ginzburg superpotentials Advances in Mathematics, 351, pp. 897-946. (doi: 10.1016/j.aim.2019.05.030)

Wilson, A., McEwan, M. (2019) Playfulness in Higher Education

Wilson, A., McEwan, M. (2019) Embedding Play in Mathematics: Building an Evidence Base

Feigin, M., Vrabec, M. (2019) Intertwining operator for AG2 Calogero-Moser-Sutherland system Journal of Mathematical Physics, 60, (doi: 10.1063/1.5090274)

Cornelissen, G., Li, X., Marcolli, M., Smit, H. (2019) Reconstructing global fields from dynamics in the abelianized Galois group Selecta Mathematica - New Series, 25, (doi: 10.1007/s00029-019-0469-8)

Athorne, C., Yilmaz, H. (2019) Twisted laplace maps Journal of Physics A: Mathematical and Theoretical, 52, (doi: 10.1088/1751-8121/ab1926)

Wilson, A., McEwan, M. (2019) Embedding Play in Higher Education: Building an Evidence Base

Bartel, A., Spencer, M. (2019) Relations between permutation representations in positive characteristic Bulletin of the London Mathematical Society, 51, pp. 293-308. (doi: 10.1112/blms.12230)

Brown, K., Carvalho, P. A.A.B., Matczuk, J. (2019) Simple modules and their essential extensions for skew polynomial rings Mathematische Zeitschrift, 291, pp. 877-903. (doi: 10.1007/s00209-018-2128-8)

Cornelissen, G., de Smit, B., Li, X., Marcolli, M., Smit, H. (2019) Characterization of global fields by Dirichlet L-series Research in Number Theory, 5, (doi: 10.1007/s40993-018-0143-9)

Antoniou, G., Feigin, M. (2019) Supersymmetric V-systems Journal of High Energy Physics, 2019, (doi: 10.1007/JHEP02(2019)115)

Monk, A., Voigt, C. (2019) Complex quantum groups and a deformation of the Baum-Connes assembly map Transactions of the American Mathematical Society, 371, pp. 8849-8877. (doi: 10.1090/tran/7774)

Friedl, S., Nagel, M., Orson, P., Powell, M. (2019) Satellites and concordance of knots in 3–manifolds Transactions of the American Mathematical Society, 371, pp. 2279-2306. (doi: 10.1090/tran/7313)

Kutluhan, C., Matic, G., Van Horn-Morris, J., Wand, A. (2019) A Heegaard Floer analog of algebraic torsion (doi: 10.1090/pspum/102)

Strachan, I. A.B. (2019) A construction of multidimensional Dubrovin-Novikov brackets Journal of Nonlinear Mathematical Physics, 26, pp. 202-213. (doi: 10.1080/14029251.2019.1591716)

Brown, K.A., Gilmartin, P., Zhang, J.J. (2019) Connected (graded) Hopf algebras Transactions of the American Mathematical Society, 372, pp. 3283-3317. (doi: 10.1090/tran/7686)

Bartel, A., Page, A. (2019) Group representations in the homology of 3-manifolds Commentarii Mathematici Helvetici, 94, pp. 67-88. (doi: 10.4171/CMH/455)

Brendle, T. E., Margalit, D. (2019) Normal subgroups of mapping class groups and the metaconjecture of Ivanov Journal of the American Mathematical Society, 32, pp. 1009-1070. (doi: 10.1090/jams/927)

Miller, A. N., Powell, M. (2019) Stabilization distance between surfaces L’Enseignement Mathématique, 65, pp. 397-440. (doi: 10.4171/lem/65-3/4-4)

2018

Brown, K.A., Yakimov, M.T. (2018) Azumaya loci and discriminant ideals of PI algebras Advances in Mathematics, 340, pp. 1219-1255. (doi: 10.1016/j.aim.2018.10.024)

Dervan, R. (2018) Relative K-stability for Kähler manifolds Mathematische Annalen, 372, pp. 859-889. (doi: 10.1007/s00208-017-1592-5)

Deeley, R., Goffeng, M., Mesland, B., Whittaker, M. F. (2018) Wieler solenoids, Cuntz-Pimsner algebras and K-theory Ergodic Theory and Dynamical Systems, 38, pp. 2942-2988. (doi: 10.1017/etds.2017.10)

Brendle, T., Margalit, D. (2018) Erratum to: Commensurations of the Johnson kernel Geometry and Topology, (doi: 10.2140/gt.2004.8.1361)

Gadre, V., Maher, J. (2018) The stratum of random mapping classes Ergodic Theory and Dynamical Systems, 38, pp. 2666-2682. (doi: 10.1017/etds.2016.132)

Brown, K. A., Zhang, J. J. (2018) Unimodular graded Poisson Hopf algebras Bulletin of the London Mathematical Society, 50, pp. 887-898. (doi: 10.1112/blms.12194)

Owens, B. (2018) Equivariant embeddings of rational homology balls Quarterly Journal of Mathematics, 69, pp. 1101-1121. (doi: 10.1093/qmath/hay016)

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

Wilson, A. (2018) *maths inside* Maths Week Scotland 2018 Photograph Competition

Baker, A. (2018) Iterated doubles of the Joker and their realisability Homology, Homotopy and Applications, 20, pp. 341-360. (doi: 10.4310/HHA.2018.v20.n2.a17)

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, pp. 705-716. (doi: 10.1007/s13398-017-0464-x)

Laca, M., Raeburn, I., Ramagge, J., Whittaker, M. F. (2018) Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs Advances in Mathematics, 331, pp. 268-325. (doi: 10.1016/j.aim.2018.03.030)

Chu, C.-H., Li, X. (2018) Amenability, Reiter's condition and Liouville property Journal of Functional Analysis, 274, pp. 3291-3324. (doi: 10.1016/j.jfa.2018.03.014)

Li, X. (2018) Continuous orbit equivalence rigidity Ergodic Theory and Dynamical Systems, 38, pp. 1543-1563. (doi: 10.1017/etds.2016.98)

Bellamy, G., Thiel, U. (2018) Highest weight theory for finite-dimensional graded algebras with triangular decomposition Advances in Mathematics, 330, pp. 361-419. (doi: 10.1016/j.aim.2018.03.011)

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

Feigin, M. V., Veselov, A. P. (2018) ∨-systems, holonomy lie algebras, and logarithmic vector fields International Mathematics Research Notices, 2018, pp. 2070-2098. (doi: 10.1093/imrn/rnw289)

Wilson, A.J. (2018) Embedding Play in Higher Education

Bellamy, G., Schedler, T. (2018) Filtrations on Springer fiber cohomology and Kostka polynomials Letters in Mathematical Physics, 108, pp. 679-698. (doi: 10.1007/s11005-017-1002-7)

Athorne, C. (2018) Laplace maps and constraints for a class of third order partial differential operators Journal of Physics A: Mathematical and Theoretical, 51, (doi: 10.1088/1751-8121/aaa475)

Bosa, J., Tornetta, G., Zacharias, J. (2018) Open projections and suprema in the Cuntz semigroup Mathematical Proceedings of the Cambridge Philosophical Society, 164, pp. 135-146. (doi: 10.1017/S030500411600089X)

Baker, A. (2018) Characteristics for E∞ ring spectra Contemporary Mathematics, 708, pp. 1-17. (doi: 10.1090/conm/708)

Athorne, C. (2018) Fifty years of mathematical physics: selected works of Ludwig Fadeev Contemporary Physics, 59, pp. 421. (doi: 10.1080/00107514.2018.1538165)

Athorne, C. (2018) Fractals in probability and analysis Contemporary Physics, 59, pp. 429. (doi: 10.1080/00107514.2018.1559228)

Grabowski, J. E., Pressland, M. (2018) Graded Frobenius cluster categories Documenta Mathematica, 23, pp. 49-76. (doi: 10.25537/DM.2018V23.49-76)

Bellamy, G., Schedler, T., Thiel, U. (2018) Hyperplane arrangements associated to symplectic quotient singularities Banach Centre Publications, 116, pp. 25-45. (doi: 10.4064/bc116-2)

Cave, C., Zacharias, J. (2018) Kirchberg-Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case Münster Journal of Mathematics, 11, pp. 217-224. (doi: 10.17879/87109577544)

Miller, A. N., Powell, M. (2018) Symmetric chain complexes, twisted Blanchfield pairings and knot concordance Algebraic and Geometric Topology, 18, pp. 3425-2476. (doi: 10.2140/agt.2018.18.3425)

Brendle, T. E., Margalit, D. (2018) The level four braid group Journal für die Reine und Angewandte Mathematik (Crelles Journal), 735, pp. 249-264. (doi: 10.1515/crelle-2015-0032)

2017

Nagel, M., Powell, M. (2017) Concordance invariance of Levine-Tristram signatures of links Documenta Mathematica, 22, pp. 25-43. (doi: 10.25537/dm.2017v22.25-43)

Brown, K. A., Macleod, M. J. (2017) The Cohen Macaulay property for noncommutative rings Algebras and Representation Theory, 20, pp. 1433-1465. (doi: 10.1007/s10468-017-9694-z)

Voigt, C. (2017) On the structure of quantum automorphism groups Journal für die Reine und Angewandte Mathematik (Crelles Journal), 732, pp. 255-273. (doi: 10.1515/crelle-2014-0141)

(2017) K-Theory for Group C*-Algebras and Semigroup C*-Algebras 47, (doi: 10.1007/978-3-319-59915-1)

Pressland, M. (2017) Internally Calabi–Yau algebras and cluster-tilting objects Mathematische Zeitschrift, 287, pp. 555-585. (doi: 10.1007/s00209-016-1837-0)

Dervan, R., Ross, J. (2017) K-stability for Kähler manifolds Mathematical Research Letters, 24, pp. 689-739. (doi: 10.4310/MRL.2017.v24.n3.a5)

Powell, M., Cochran, T. D., Harvey, S. (2017) Grope metrics on the knot concordance set Journal of Topology, 10, pp. 669-699. (doi: 10.1112/topo.12018)

Kaminker, J., Putnam, I. F., Whittaker, M. F. (2017) K-theoretic duality for hyperbolic dynamical systems Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2017, pp. 263-299. (doi: 10.1515/crelle-2014-0126)

King, A., Pressland, M. (2017) Labelled seeds and the mutation group Mathematical Proceedings of the Cambridge Philosophical Society, 163, pp. 193-217. (doi: 10.1017/s0305004116000918)

Li, X. (2017) Partial transformation groupoids attached to graphs and semigroups International Mathematics Research Notices, 2017, pp. 5233-5259. (doi: 10.1093/imrn/rnw166)

Kasprowski, D., Land, M., Powell, M., Teichner, P. (2017) Stable classification of 4-manifolds with 3-manifold fundamental groups Journal of Topology, 10, pp. 827-881. (doi: 10.1112/topo.12025)

Barlak, S., Li, X. (2017) Cartan subalgebras and the UCT problem Advances in Mathematics, 316, pp. 748-769. (doi: 10.1016/j.aim.2017.06.024)

Bellamy, G., Dodd, C., McGerty, K., Nevins, T. (2017) Categorical cell decomposition of quantized symplectic algebraic varieties Geometry and Topology, 21, pp. 2601-2681. (doi: 10.2140/gt.2017.21.2601)

Bartel, A., Spencer, M. (2017) A note on Green functors with inflation Journal of Algebra, 483, pp. 230-244. (doi: 10.1016/j.jalgebra.2017.03.031)

Bellamy, G., Ginzburg, V. (2017) SL2-action on Hilbert Schemes and Calogero-Moser spaces Michigan Mathematical Journal, 66, pp. 519-532. (doi: 10.1307/mmj/1496995337)

Cha, J. C., Friedl, S., Powell, M. (2017) Splitting numbers of links Proceedings of the Edinburgh Mathematical Society, 60, pp. 587-614. (doi: 10.1017/S0013091516000420)

Brendle, T., Childers, L., Margalit, D. (2017) Mapping class groups Princeton University Press

Strachan, I. A.B., Zuo, D. (2017) Frobenius manifolds and Frobenius algebra-valued integrable systems Letters in Mathematical Physics, 107, pp. 997-1026. (doi: 10.1007/s11005-017-0939-x)

Brownlowe, N., Pask, D., Ramagge, J., Robertson, D., Whittaker, M. (2017) Zappa-Szép product groupoids and C*-blends Semigroup Forum, 94, pp. 500-519. (doi: 10.1007/s00233-016-9775-z)

Baker, A. (2017) E∞ ring spectra and elements of Hopf invariant 1 Boletín de la Sociedad Matemática Mexicana, 23, pp. 195-231. (doi: 10.1007/s40590-016-0096-8)

Brownlowe, N., Carlsen, T. M., Whittaker, M. (2017) Graph algebras and orbit equivalence Ergodic Theory and Dynamical Systems, 37, pp. 389-417. (doi: 10.1017/etds.2015.52)

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

Barlak, S., Szabo, G., Voigt, C. (2017) The spatial Rokhlin property for actions of compact quantum groups Journal of Functional Analysis, 272, pp. 2308-2360. (doi: 10.1016/j.jfa.2016.09.023)

Strachan, I. A.B., Stedman, R. (2017) Generalized Legendre transformations and symmetries of the WDVV equations Journal of Physics A: Mathematical and Theoretical, 50, (doi: 10.1088/1751-8121/aa58b2)

Hawkins, A., Zacharias, J. (2017) Spectral metric spaces on extensions of C*-algebras Communications in Mathematical Physics, 350, pp. 475-506. (doi: 10.1007/s00220-016-2820-7)

Bartel, A., Lenstra, H. W. (2017) Commensurability of automorphism groups Compositio Mathematica, 153, pp. 323-346. (doi: 10.1112/S0010437X1600823X)

Mampusti, M., Whittaker, M. F. (2017) Fractal spectral triples on Kellendonk's C*-algebra of a substitution tiling Journal of Geometry and Physics, 112, pp. 224-239. (doi: 10.1016/j.geomphys.2016.11.010)

Powell, M. (2017) The four-genus of a link, Levine–Tristram signatures and satellites Journal of Knot Theory and Its Ramifications, 26, (doi: 10.1142/s0218216517400089)

Friedl, S., Powell, M. (2017) A calculation of Blanchfield pairings of 3-manifolds and knots Moscow Mathematical Journal, 17, pp. 59-77. (doi: 10.17323/1609-4514-2017-17-1-59-77)

Gadre, V. (2017) Partial sums of excursions along random geodesics and volume asymptotics for thin parts of moduli spaces of quadratic differentials Journal of the European Mathematical Society, 19, pp. 3053-3089. (doi: 10.4171/JEMS/735)

Fruedk, S., Leidy, C., Nagel, M., Powell, M. (2017) Twisted Blanchfield pairings and decompositions of 3-manifolds Homology, Homotopy and Applications, 19, pp. 275-287. (doi: 10.4310/HHA.2017.v19.n2.a14)

Gadre, V., Maher, J., Tiozzo, G. (2017) Word length statistics for Teichmuller geodesics and singularity of harmonic measure Commentarii Mathematici Helvetici, 92, pp. 1-36. (doi: 10.4171/CMH/404)

2016

Powell, M. (2016) Twisted Blanchfield pairings and symmetric chain complexes Quarterly Journal of Mathematics, 67, pp. 715-742. (doi: 10.1093/qmath/haw028)

Bartel, A., Page, A. (2016) Torsion homology and regulators of isospectral manifolds Journal of Topology, 9, pp. 1237-1256. (doi: 10.1112/jtopol/jtw023)

Feigin, M. (2016) The Hilbert series of Λr,s(m). Appendix in Etingof, P., Rains, E. On Cohen–Macaulayness of algebras generated by generalized power sums Communications in Mathematical Physics, 347, pp. 163-182. (doi: 10.1007/s00220-016-2657-0)

Bellamy, G., Thiel, U. (2016) Cuspidal Calogero-Moser and Lusztig families for Coxeter groups Journal of Algebra, 462, pp. 197-252. (doi: 10.1016/j.jalgebra.2016.06.003)

Deeley, R., Killough, D. B., Whittaker, M. (2016) Dynamical correspondences for Smale spaces New York Journal of Mathematics, 22, pp. 943-988.

Dervan, R. (2016) Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds Annales de la Faculté des sciences de Toulouse : Mathématiques, 25, pp. 919-934. (doi: 10.5802/afst.1515)

Cha, J. C., Powell, M. (2016) Casson towers and slice links Inventiones Mathematicae, 205, pp. 413-457. (doi: 10.1007/s00222-015-0639-z)

Deeley, R. J., Killough, D. B., Whittaker, M. F. (2016) Functorial properties of Putnam's homology theory for Smale spaces Ergodic Theory and Dynamical Systems, 36, pp. 1411-1440. (doi: 10.1017/etds.2014.134)

Dervan, R. (2016) On K-stability of finite covers Bulletin of the London Mathematical Society, 48, pp. 717-728. (doi: 10.1112/blms/bdw029)

Codogni, G., Dervan, R. (2016) Non-reductive automorphism groups, the Loewy filtration and K-stability Annales de l’institut Fourier, 66, pp. 1895-1921. (doi: 10.5802/aif.3052)

Borodzik, M., Friedl, S., Powell, M. (2016) Blanchfield forms and Gordian distance Journal of the Mathematical Society of Japan, 68, pp. 1047-1080. (doi: 10.2969/jmsj/06831047)

Li, X. (2016) Semigroup C*-Algebras (doi: 10.1007/978-3-319-39286-8_9)

Li, X. (2016) Semigroup C*-algebras of ax + b-semigroups Transactions of the American Mathematical Society, 368, pp. 4417-4437. (doi: 10.1090/tran/6469)

Athorne, C. (2016) Fundamental principles of classical mechanics: a geometrical perspective Contemporary Physics, 57, pp. 238-241. (doi: 10.1080/00107514.2015.1048299)

Athorne, C., Yilmaz, H. (2016) Invariants of hyperbolic partial differential operators Journal of Physics A: Mathematical and Theoretical, 49, (doi: 10.1088/1751-8113/49/13/135201)

Li, X. (2016) On K-theoretic invariants of semigroup C*-algebras attached to number fields, Part II Advances in Mathematics, 291, pp. 1-11. (doi: 10.1016/j.aim.2015.12.024)

Li, X., Norling, M. D. (2016) Independent resolutions for totally disconnected dynamical systems. II. C*-algebraic case Journal of Operator Theory, 75, pp. 163-193. (doi: 10.7900/jot.2014dec22.2061)

Bartel, A., Dokchitser, T. (2016) Rational representations and permutation representations of finite groups Mathematische Annalen, 364, pp. 539-558. (doi: 10.1007/s00208-015-1223-y)

Bellamy, G. (2016) Counting resolutions of symplectic quotient singularities Compositio Mathematica, 152, pp. 99-114. (doi: 10.1112/S0010437X15007630)

Borodzik, M., Powell, M. (2016) Embedded Morse theory and relative splitting of cobordisms of manifolds Journal of Geometric Analysis, 26, pp. 57-87. (doi: 10.1007/s12220-014-9538-6)

Adler, V.E., Berest, Y. Y., Buchstaber, V.M., Grinevich, P.G., Dubrovin, B.A., Krichever, I.M., Novikov, S.P., Sergeev, A.N., Feigin, M.V., Felder, G., Ferapontov, E.V., Chalykh, O.A., Etingof, P.I. (2016) Alexander Petrovich Veselov (on his 60th birthday) Russian Mathematical Surveys, 71, pp. 1159-1176. (doi: 10.1070/RM9734)

Frank, N. P., Webster, S. B.G., Whittaker, M. (2016) Fractal dual substitution tilings Journal of Fractal Geometry, 3, pp. 265-317. (doi: 10.4171/JFG/37)

Owens, B., Strle, S. (2016) Immersed disks, slicing numbers and concordance unknotting numbers Communications in Analysis and Geometry, 24, pp. 1107-1138. (doi: 10.4310/CAG.2016.v24.n5.a8)

Bellamy, G., Rogalski, D., Schedler, T., Stafford, J. T., Wemyss, M. (2016) Noncommutative Algebraic Geometry Cambridge University Press

Bellamy, G., Schedler, T. (2016) On the (non)existence of symplectic resolutions of linear quotients Mathematical Research Letters, 23, pp. 1537-1564. (doi: 10.4310/MRL.2016.v23.n6.a1)

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

Gadre, V., Schleimer, S. (2016) The curves not carried Groups, Geometry and Dynamics, 10, pp. 1249-1264. (doi: 10.4171/GGD/382)

Eilers, S., Li, X., Ruiz, E. (2016) The isomorphism problem for semigroup C*-algebras of right-angled Artin monoids Documenta Mathematica, 21, pp. 309-343.

Kumjian, A., Pask, D., Sims, A., Whittaker, M. F. (2016) Topological spaces associated to higher-rank graphs Journal of Combinatorial Theory, Series A, 143, pp. 19-41. (doi: 10.1016/j.jcta.2016.04.005)

Dervan, R. (2016) Uniform stability of twisted constant scalar curvature Kähler metrics International Mathematics Research Notices, 2016, pp. 4728-4783. (doi: 10.1093/imrn/rnv291)

2014

Friedl, S., Nagel, M., Powell, M. (2014) A specious unlinking strategy Periodica Mathematica Hungarica, 69, pp. 207-210. (doi: 10.1007/s10998-014-0063-y)

Chaika, J., Gadre, V. (2014) Every transformation is disjoint from almost every non-classical exchange Geometriae Dedicata, 173, pp. 105-127. (doi: 10.1007/s10711-013-9931-5)

Bieri, R., Kropholler, P., Owens, B. (2014) On subsets of S^n whose (n + 1)-point subsets are contained in open hemispheres New York Journal of Mathematics, 20, pp. 1021-1041.

Li, X. (2014) On K-theoretic invariants of semigroup C*-algebras attached to number fields Advances in Mathematics, 264, pp. 371-395. (doi: 10.1016/j.aim.2014.07.014)

Frettlöh, D., Whitehead, B., Whittaker, M. (2014) Cohomology of the pinwheel tiling Journal of the Australian Mathematical Society, 97, pp. 162-179. (doi: 10.1017/S1446788714000275)

David, L., Strachan, I. A.B. (2014) Symmetries of F-manifolds with eventual identities and special families of connections Annali della Scuola Normale Superiore de Pisa: Classe di Scienze, 13, pp. 641-674. (doi: 10.2422/2036-2145.201205_010)

Dervan, R. (2014) Alpha invariants and K-Stability for general polarizations of Fano varieties International Mathematics Research Notices, 2015, pp. 7162-7189. (doi: 10.1093/imrn/rnu160)

Bellamy, G. (2014) Endomorphisms of verma modules for rational cherednik algebras Transformation Groups, 19, pp. 699-720. (doi: 10.1007/s00031-014-9281-x)

Strachan, I. B., Szablikowski, B. M. (2014) Novikov algebras and a classification of multicomponent Camassa-Holm equations Studies in Applied Mathematics, 133, pp. 84-117. (doi: 10.1111/sapm.12040)

David, L., Strachan, I. A. B. (2014) tt*-geometry on the big phase space Communications in Mathematical Physics, 329, pp. 295-323. (doi: 10.1007/s00220-014-1964-6)

Feigin, M., Johnston, D. (2014) A class of Baker-Akhiezer arrangements Communications in Mathematical Physics, 328, pp. 1117-1157. (doi: 10.1007/s00220-014-1921-4)

Cha, J. C., Friedl, S., Powell, M. (2014) Concordance of links with identical Alexander invariants Bulletin of the London Mathematical Society, 46, pp. 629-642. (doi: 10.1112/blms/bdu002)

Laca, M., Raeburn, I., Ramagge, J., Whittaker, M. (2014) Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions Journal of Functional Analysis, 266, pp. 6619-6661. (doi: 10.1016/j.jfa.2014.03.003)

Bartel, A., Dokchitser, T. (2014) Brauer relations in finite groups II: quasi-elementary groups of order paq Journal of Group Theory, 17, pp. 381-393. (doi: 10.1515/jgt-2013-0044)

Friedl, S., Powell, M. (2014) Links not concordant to the Hopf link Mathematical Proceedings of the Cambridge Philosophical Society, 156, pp. 425-459. (doi: 10.1017/S0305004114000036)

Brownlowe, N., Ramagge, J., Robertson, D., Whittaker, M. (2014) Zappa–Szép products of semigroups and their C*-algebras Journal of Functional Analysis, 266, pp. 3937-3967. (doi: 10.1016/j.jfa.2013.12.025)

Friedl, S., Powell, M. (2014) Cobordisms to weakly splittable links Proceedings of the American Mathematical Society, 142, pp. 703-712. (doi: 10.1090/S0002-9939-2013-11792-2)

Voigt, C. (2014) Cyclic cohomology and Baaj-Skandalis duality Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 13, pp. 115-145. (doi: 10.1017/is013012001jkt248)

Bartel, A. (2014) Factor equivalence of Galois modules and regulator constants International Journal of Number Theory, 10, pp. 1-12. (doi: 10.1142/S1793042113500772)

Feigin, M., Silantyev, A. (2014) Generalized Macdonald-Ruijsenaars systems Advances in Mathematics, 250, pp. 144-192. (doi: 10.1016/j.aim.2013.09.001)

Bellamy, G., Martino, M. (2014) Affinity of Cherednik algebras on projective space Algebra and Number Theory, 8, pp. 1151-1177. (doi: 10.2140/ant.2014.8.1151)

Cha, J. C., Powell, M. (2014) Covering link calculus and the bipolar filtration of topologically slice links Geometry and Topology, 18, pp. 1539-1579. (doi: 10.2140/gt.2014.18.1539)

Gadre, V. (2014) Harmonic measures for distributions with finite support on the mapping class group are singular Duke Mathematical Journal, 163, pp. 309-368. (doi: 10.1215/00127094-2430368)

Brown, K., Gilmartin, P. (2014) Hopf algebras under finiteness conditions Palestine Journal of Mathematics, 3, pp. 356-365.

Cha, J. C., Powell, M. (2014) Nonconcordant links with homology cobordant zero-framed surgery manifolds Pacific Journal of Mathematics, 272, pp. 1-33. (doi: 10.2140/PJM.2014.272.1)

Kasprowski, D., Powell, M. (2014) Shrinking of toroidal decomposition spaces Fundamenta Mathematicae, 227, pp. 271-296. (doi: 10.4064/fm227-3-3)

Baker, A., Richter, B. (2014) Some properties of the Thom spectrum over loop suspension of complex projective space Contemporary Mathematics, 617, pp. 1-12. (doi: 10.1090/conm/617)

Sims, A., Whitehead, B., Whittaker, M. (2014) Twisted C*-algebras associated to finitely aligned higher-rank graphs Documenta Mathematica, 19, pp. 831-866.

2012

Owens, B., Strle, S. (2012) Dehn surgeries and negative-definite four-manifolds Selecta Mathematica - New Series, 18, pp. 839-854. (doi: 10.1007/s00029-012-0086-2)

Morrison, E.K., Strachan, I.A.B. (2012) Polynomial modular Frobenius manifolds Physica D: Nonlinear Phenomena, 241, pp. 2145-2155. (doi: 10.1016/j.physd.2011.12.006)

Gadre, V. H. (2012) Dynamics of non-classical interval exchanges Ergodic Theory and Dynamical Systems, 32, pp. 1930-1971. (doi: 10.1017/S0143385711000691)

Li, X., Lück, W. (2012) K-theory for ring c*-algebras: the case of number fields with higher roots of unity Journal of Topology and Analysis, 4, pp. 449-479. (doi: 10.1142/S1793525312500203)

Baker, A.J., Richter, B., Szymik, M. (2012) Brauer groups for commutative S-algebras Journal of Pure and Applied Algebra, 216, pp. 2361-2376. (doi: 10.1016/j.jpaa.2012.03.001)

Feigin, M., Silantyev, A. (2012) Singular polynomials from orbit spaces Compositio Mathematica, 148, pp. 1867-1879. (doi: 10.1112/S0010437X1200036X)

England, M., Athorne, C. (2012) Generalised elliptic functions Central European Journal of Mathematics, 10, pp. 1655-1672. (doi: 10.2478/s11533-012-0083-x)

Athorne, C., Yilmaz, H. (2012) Laplace invariants for general hyperbolic systems Journal of Nonlinear Mathematical Physics, 19, pp. 391-410. (doi: 10.1142/S1402925112500246)

Strachan, I. A.B. (2012) Simple elliptic singularities: a note on their G-function Asian Journal of Mathematics, 16, pp. 409-426. (doi: 10.4310/AJM.2012.v16.n3.a3)

Owens, B., Strle, S. (2012) A characterisation of the Z^n + Zδ lattice and definite nonunimodular intersection forms American Journal of Mathematics, 134, pp. 891-913. (doi: 10.1353/ajm.2012.0026)

Li, X. (2012) K-theory for ring C*-algebras attached to function fields with only one infinite place Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 10, pp. 203-231. (doi: 10.1017/is011011023jkt177)

Bartel, A. (2012) On Brauer–Kuroda type relations of S-class numbers in dihedral extensions Journal für die reine und angewandte Mathematik (Crelles Journal), 2012, pp. 211-244. (doi: 10.1515/CRELLE.2011.152)

Li, X. (2012) Semigroup C⁎-algebras and amenability of semigroups Journal of Functional Analysis, 262, pp. 4302-4340. (doi: 10.1016/j.jfa.2012.02.020)

Friedl, S., Powell, M. (2012) An injectivity theorem for Casson-Gordon type representations relating to the concordance of knots and links Bulletin of the Korean Mathematical Society, 49, pp. 395-409. (doi: 10.4134/BKMS.2012.49.2.395)

Wand, A. (2012) Mapping class group relations, Stein fillings, and planar open book decompositions Journal of Topology, 5, pp. 1-14. (doi: 10.1112/jtopol/jtr025)

Larsen, N. S., Li, X. (2012) The 2-adic ring C*-algebra of the integers and its representations Journal of Functional Analysis, 262, pp. 1392-1426. (doi: 10.1016/j.jfa.2011.11.008)

Baker, A. (2012) On the cohomology of loop spaces for some Thom spaces Geometry and Topology, 18, pp. 59-74.

Athorne, C. (2012) On the equivariant algebraic Jacobian for curves of genus two Journal of Geometry and Physics, 62, pp. 724-730. (doi: 10.1016/j.geomphys.2011.12.016)

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

Powell, M. (2012) A second order algebraic knot concordance group Algebraic and Geometric Topology, 12, pp. 685-751. (doi: 10.2140/agt.2012.12.685)

England, M., Athorne, C. (2012) Building Abelian functions with Baker-Hirota operators Symmetry, Integrability and Geometry: Methods and Applications, 8, pp. 1-36. (doi: 10.3842/SIGMA.2012.037)

Baker, A. (2012) Calculating with topological André-Quillen theory, I: homotopical properties of universal derivations and free commutative S-algebras arXiv,

Donald, A., Owens, B. (2012) Concordance groups of links Algebraic and Geometric Topology, 12, pp. 2069-2093. (doi: 10.2140/agt.2012.12.2069)

Balm, C., Friedl, S., Kalfagianni, E., Powell, M. (2012) Cosmetic crossings and Seifert matrices Communications in Analysis and Geometry, 20, pp. 235-253. (doi: 10.4310/CAG.2012.v20.n2.a1)

Baker, A. (2012) Frobenius Green functors arXiv,

Feigin, M. (2012) Generalized Calogero–Moser systems from rational Cherednik algebras Selecta Mathematica - New Series, 18, pp. 253-281. (doi: 10.1007/s00029-011-0074-y)

Bellamy, G., Kuwabara, T. (2012) On deformation quantizations of hypertoric varieties Pacific Journal of Mathematics, 260, pp. 89-127. (doi: 10.2140/pjm.2012.260.89)

Feigin, M., Shramov, C. (2012) On unitary submodules in the polynomial representations of rational cherednik algebras International Mathematics Research Notices, 15, pp. 3375-3414. (doi: 10.1093/imrn/rnr140)

Voigt, C. (2012) Quantum SU(2) and the Baum-Connes conjecture Banach Centre Publications, 98, pp. 417-432. (doi: 10.4064/bc98-0-17)

Bellamy, G. (2012) The Calogero-Moser partition for G(m,d,n) Nagoya Mathematical Journal, 207, pp. 47-77.

Postgraduate students

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Geometry and Topology - Example Research Projects

Our group has an active PhD student community, and every year we admit new PhD students. We welcome applications from across the world, and we encourage you to browse our available supervisors, and also to consult our general advice on how to navigate the application process.

Seminars

Regular seminars relevant to the group are held as part of the Geometry and Topology seminar series. You can find a full list of the seminars within the school on the main seminars page, where you can subscribe to their respective calendars.