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  1. 2022
  2. Published

    A polylogarithmic bound in the nonlinear Roth theorem

    Peluse, S. & Prendiville, S., 30/04/2022, In: International Mathematics Research Notices. 8, p. 5658-5684 27 p.

    Research output: Contribution to journalJournal articlepeer-review

  3. E-pub ahead of print

    Generalised rigid body motions in non-Euclidean planes with applications to global rigidity

    Dewar, S. & Nixon, A., 1/10/2022, In: Journal of Mathematical Analysis and Applications. 514, 1, 31 p., 126259.

    Research output: Contribution to journalJournal articlepeer-review

  4. E-pub ahead of print

    The Rigidity of Infinite Graphs II

    Kitson, D. & Power, S., 13/04/2022, (E-pub ahead of print) In: Graphs and Combinatorics. 38, 3, 83.

    Research output: Contribution to journalJournal articlepeer-review

  5. Forthcoming

    Approximately multiplicative maps between algebras of bounded operators on Banach spaces

    Choi, Y., Horvath, B. & Laustsen, N., 23/02/2022, (Accepted/In press) In: Transactions of the American Mathematical Society.

    Research output: Contribution to journalJournal articlepeer-review

  6. 2021
  7. Published

    A short proof that B(L_1) is not amenable

    Choi, Y., 31/12/2021, In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 151, 6, p. 1758-1767 10 p.

    Research output: Contribution to journalJournal articlepeer-review

  8. Forthcoming

    The parabolic algebra revisited

    Power, S. & Kastis, E., 9/12/2021, (Accepted/In press) In: Israel Journal of Mathematics.

    Research output: Contribution to journalJournal articlepeer-review

  9. Published

    The first-order flexibility of a crystallographic framework

    Kastis, E. & Power, S., 1/12/2021, In: Journal of Mathematical Analysis and Applications. 504, 1, 16 p., 125404.

    Research output: Contribution to journalJournal articlepeer-review

  10. E-pub ahead of print

    Crystal flex bases and the RUM spectrum

    Badri, G., Kitson, D. & Power, S., 24/11/2021, (E-pub ahead of print) In: Proceedings of the Edinburgh Mathematical Society. 64, 4, p. 735-761 27 p.

    Research output: Contribution to journalJournal articlepeer-review

  11. Published
  12. Forthcoming

    SLE scaling limits for a Laplacian random growth model

    Higgs, F., 23/09/2021, (Accepted/In press) In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 28 p.

    Research output: Contribution to journalJournal articlepeer-review

  13. Forthcoming

    Parallelogram Frameworks and Flexible Quasicrystals

    Power, S., 8/08/2021, (Accepted/In press) In: Mathematical Proceedings of the Royal Irish Academy. 24 p.

    Research output: Contribution to journalJournal articlepeer-review

  14. Published

    Classifying the closed ideals of bounded operators on two families of non-separable classical Banach spaces

    Arnott, M. & Laustsen, N., 1/08/2021, In: Journal of Mathematical Analysis and Applications. 500, 1, 10 p., 125105.

    Research output: Contribution to journalJournal articlepeer-review

  15. Published

    Constructing alternating 2-cocycles on Fourier algebras

    Choi, Y., 16/07/2021, In: Advances in Mathematics. 385, 28 p., 107747.

    Research output: Contribution to journalJournal articlepeer-review

  16. Published

    On the correspondence between graded-local conformal nets and vertex operator superalgebras with applications

    Gaudio, T., 13/07/2021, Lancaster University. 129 p.

    Research output: ThesisDoctoral Thesis

  17. Published

    Embedded Eigenvalues for operators and Fredholm properties of pencils

    Altaweel, N., 28/06/2021, Lancaster University. 197 p.

    Research output: ThesisDoctoral Thesis

  18. Published

    Scaling limits and fluctuations for random growth under capacity rescaling

    Liddle, G. & Turner, A., 31/05/2021, In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 57, 2, p. 980-1015 36 p.

    Research output: Contribution to journalJournal articlepeer-review

  19. Published

    Dual convolution for the affine group of the real line

    Choi, Y. & Ghandehari, M., 22/05/2021, In: Complex Analysis and Operator Theory. 15, 4, 32 p., 76.

    Research output: Contribution to journalJournal articlepeer-review

  20. Published

    Symbol functions for symmetric frameworks

    Kastis, E., Kitson, D. & McCarthy, J., 15/05/2021, In: Journal of Mathematical Analysis and Applications. 497, 2, 24 p., 124895.

    Research output: Contribution to journalJournal articlepeer-review

  21. Published

    Unavoidable subprojections in union-closed set systems of infinite breadth

    Choi, Y., Ghandehari, M. & Pham, H. L., 1/05/2021, In: European Journal of Combinatorics. 94, 17 p., 103311.

    Research output: Contribution to journalJournal articlepeer-review

  22. Published

    Quantum stochastic cocycles and completely bounded semigroups on operator spaces II

    Lindsay, M. & Wills, S., 15/03/2021, In: Communications in Mathematical Physics. 383, 1, p. 153-199 47 p.

    Research output: Contribution to journalJournal articlepeer-review

  23. E-pub ahead of print

    Which graphs are rigid in l_p^d?

    Dewar, S., Kitson, D. & Nixon, A., 31/05/2022, In: Journal of Global Optimization. 83, 1, p. 49-71 23 p.

    Research output: Contribution to journalJournal articlepeer-review

  24. Forthcoming

    Tau functions for linear systems

    Blower, G. & Newsham, S., 6/03/2021, (Accepted/In press) Operator theory advances and applications: IWOTA Lisbon 2019. Bastos, A., Castro, L. & Karlovich, A. (eds.). Springer Birkhäuser, 27 p. (International Workshop on Operator Theory and Applications).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

  25. Published

    Stability of characters and filters for weighted semilattices

    Choi, Y., Ghandehari, M. & Pham, H. L., 11/02/2021, In: Semigroup Forum. 102, 1, p. 86-103 18 p.

    Research output: Contribution to journalJournal articlepeer-review

  26. Published

    Scaling limits of random growth processes

    Liddle, G., 2021, Lancaster University. 141 p.

    Research output: ThesisDoctoral Thesis

  27. 2020
  28. Published

    Rigidity of symmetric frameworks in normed spaces

    Kitson, D., Nixon, A. & Schulze, B., 15/12/2020, In: Linear Algebra and its Applications. 607, p. 231-285 49 p.

    Research output: Contribution to journalJournal articlepeer-review

  29. Unpublished

    Convexity and transport for isentropic Euler equations on the sphere

    Blower, G., 21/11/2020, (Unpublished) 52 p.

    Research output: Working paper

  30. Published

    Graph rigidity for unitarily invariant matrix norms

    Kitson, D. & Levene, R. H., 15/11/2020, In: Journal of Mathematical Analysis and Applications. 491, 2, 30 p., 124353.

    Research output: Contribution to journalJournal articlepeer-review

  31. Published

    Non-Euclidean braced grids

    Power, S., 31/10/2020, In: Mathematical Proceedings of the Royal Irish Academy. 120A, 2, p. 43-57 15 p., PRIA.2020.120.06.

    Research output: Contribution to journalJournal articlepeer-review

  32. Published

    Topics in Cyclic Theory

    Quillen, D. G. & Blower, G., 9/07/2020, Cambridge: Cambridge University Press. 320 p. (London Mathematical Society Student Texts)

    Research output: Book/Report/ProceedingsBook

  33. Published

    Constructing isostatic frameworks for the ℓ1and ℓ-plane

    Clinch, K. & Kitson, D., 12/06/2020, In: The Electronic Journal of Combinatorics . 27, 2, 21 p., P2.49.

    Research output: Contribution to journalJournal articlepeer-review

  34. Published

    Solving equations in dense Sidon sets

    Prendiville, S., 2/06/2020, In: arXiv. 11 p.

    Research output: Contribution to journalJournal articlepeer-review

  35. Published

    Decay rates at infinity for solutions to periodic Schrödinger equations

    Elton, D. M., 1/06/2020, In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 150, 3, p. 1113-1126 14 p.

    Research output: Contribution to journalJournal articlepeer-review

  36. Published

    Isotopy classes for 3-periodic net embeddings

    Power, S., Baburin, I. & Proserpio, D., 1/05/2020, In: Acta Crystallographica Section A: Foundations and Advances. 76, 3, p. 275-301 27 p.

    Research output: Contribution to journalJournal articlepeer-review

  37. Published

    On the Ramsey number of the Brauer configuration

    Prendiville, S. & Chapman, J., 1/04/2020, In: Bulletin of the London Mathematical Society. 52, 2, p. 316-334 19 p.

    Research output: Contribution to journalJournal articlepeer-review

  38. Published

    Double-distance frameworks and mixed sparsity graphs

    Nixon, A. & Power, S., 31/03/2020, In: Discrete and Computational Geometry. 63, 2, p. 294-318 25 p.

    Research output: Contribution to journalJournal articlepeer-review

  39. Unpublished

    SLE scaling limits for a Laplacian growth model

    Higgs, F., 30/03/2020, (Unpublished) In: arXiv. 38 p.

    Research output: Contribution to journalJournal article

  40. Published

    Coexistence in a random growth model with competition

    Turnbull, S. & Turner, A., 27/03/2020, In: Electronic Communications in Probability. 25, p. 1-14 14 p., 26.

    Research output: Contribution to journalJournal articlepeer-review

  41. Published

    Counting monochromatic solutions to diagonal Diophantine equations

    Prendiville, S., 23/03/2020, In: arXiv.

    Research output: Contribution to journalJournal articlepeer-review

  42. Published

    On determinant expansions for Hankel operators

    Blower, G. & Chen, Y., 4/02/2020, In: Concrete Operators. 7, 1, p. 13-44 34 p.

    Research output: Contribution to journalJournal articlepeer-review

  43. 2019
  44. Published

    Classifying evolution algebras of dimensions two and three

    Celorrio, M. E. & Velasco, M. V., 13/12/2019, In: Doklady Mathematics. 7, 12, 25 p., 1236.

    Research output: Contribution to journalJournal articlepeer-review

  45. Published

    More than five-twelfths of the zeros of ζ are on the critical line

    Zeindler, D., Robles, N., Zaharescu, A. & Pratt, K., 6/12/2019, In: Research in the Mathematical Sciences.. 7, 1, 74 p., 2.

    Research output: Contribution to journalJournal articlepeer-review

  46. Published

    Coboundary operators for infinite frameworks

    Kastis, E., Kitson, D. & Power, S., 4/11/2019, In: Mathematical Proceedings of the Royal Irish Academy. 119A, 2, p. 93-110 18 p.

    Research output: Contribution to journalJournal articlepeer-review

  47. Published

    Algebraic spectral synthesis and crystal rigidity

    Kastis, E. M. & Power, S. C., 1/11/2019, In: Journal of Pure and Applied Algebra. 223, 11, p. 4954-4965 12 p.

    Research output: Contribution to journalJournal articlepeer-review

  48. Forthcoming

    Rado's criterion over squares and higher powers

    Chow, S., Lindqvist, S. & Prendiville, S., 24/09/2019, (Accepted/In press) In: Journal of the European Mathematical Society. 0, p. 0-0

    Research output: Contribution to journalJournal articlepeer-review

  49. Published

    Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models

    Carpi, S., Gaudio, T. & Hillier, R., 20/09/2019, In: Journal of Mathematical Physics. 60, 9, 21 p., 093505.

    Research output: Contribution to journalJournal articlepeer-review

  50. Published

    Statistical mechanics of the periodic Benjamin Ono equation

    Blower, G., Brett, C. & Doust, I., 19/09/2019, In: Journal of Mathematical Physics. 60, 9, 25 p., 093302.

    Research output: Contribution to journalJournal articlepeer-review

  51. Published

    Simultaneous kernels of matrix Hadamard powers

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 1/09/2019, In: Linear Algebra and its Applications. 576, p. 142-157 16 p.

    Research output: Contribution to journalJournal articlepeer-review

  52. E-pub ahead of print

    The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces

    Beanland, K., Kania, T. & Laustsen, N. J., 1/09/2019, (E-pub ahead of print) In: Houston Journal of Mathematics. 45, 2, p. 553-566 13 p.

    Research output: Contribution to journalJournal articlepeer-review

  53. Published

    The basic reproduction number, R_0, in structured populations

    Neal, P. & Theparod, T., 1/09/2019, In: Mathematical Biosciences. 315, 12 p., 108224.

    Research output: Contribution to journalJournal articlepeer-review

  54. Published

    Mixed moments of characteristic polynomials of random unitary matrices

    Bailey, E., Bettin, S., Blower, G., Conrey, J., Prokhorov, A., Rubinstein, M. & Snaith, N., 23/08/2019, In: Journal of Mathematical Physics. 60, 8, 27 p., 083509.

    Research output: Contribution to journalJournal articlepeer-review

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