Source: https://www.lboro.ac.uk/science/research/centre-for-geometry-and-applications/
Timestamp: 2019-04-26 07:44:18+00:00

Document:
Geometry lies at the heart of modern science. It unifies diverse branches of mathematics such as algebra, analysis and number theory, and connects to applications in theoretical physics, computer science, statistics, and more.
Loughborough University has a strong tradition of research in Geometry and related areas. The new Centre for Geometry and Applications will build on this through an extensive programme of activities: international conferences, world-leading academic visitors, and new links with industrial partners utilising applications of geometry.
H. Ahmadinezhad, T. Okada, Stable rationality of higher dimensional conic bundles. Épijournal Geom. Algébrique 2 (2018), Art. 5, 13 pp.
H. Ahmadinezhad, I. Cheltsov, J. Schicho, On a conjecture of Tian. Mathematische Zeitschrift 288 (2018), no. 1-2, 217–241.
H. Ahmadinezhad, T. Okada, Birationally rigid pfaffian Fano 3-folds, Algebraic Geometry , (2018) Volume 5, Issue 2, 160-199.
B Doubrov, E. Ferapontov, B. Kruglikov, V. Novikov, On integrability in Grassmann geometries: integrable systems associated with fourfolds in Gr(3, 5). Proc. Lond. Math. Soc. 3 (2018), 1-32.
B Doubrov, E. Ferapontov, B. Kruglikov, V. Novikov, Integrable systems in 4D associated with sixfolds in Gr(3, 5). Int. Math. Res. Not. IMRN (2018), DOI:10.1093/imrn/rnx308.
H. Ahmadinezhad, On pliability of del Pezzo fibrations and Cox rings. J. Reine Angew. Math. 723 (2017) 101-125.
A. Bolsinov, Some remarks about Mishchenko-Fomenko subalgebras. J. Algebra 483 (2017), 58-70.
J. Eckhardt, The Inverse Spectral Transform for the Conservative Camassa–Holm Flow with Decaying Initial Data, Archive for Rational Mechanics and Analysis 224(1) (2017), 21-52.
J. Eckhardt, A. Kostenko, Quadratic operator pencils associated with the conservative Camassa-Holm flow, Bulletin de la Société mathématique de France, 145(1) (2017), 47-95.
J. Eckhardt, F. Gesztesy, H. Holden, A. Kostenko, G. Teschl, Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy, Annales de l’institut Fourier, 67(3) (2017), 1185-1230.
V. Knibbeler, S. Lombardo, J.A. Sanders, Higher-dimensional automorphic Lie algebras. Found. Comput. Math. 17 (2017), no. 4, 987-1035.
A. Hone, V. Novikov, J.P. Wang, Two-component generalizations of the Camassa-Holm equation. Nonlinearity 30 (2017), no. 2, 622-658.
O. Dumitrescu, E. Postinghel, Vanishing theorems for linearly obstructed divisors. J. Algebra 477 (2017), 312-359.
A. Prendergast-Smith, A special Cayley octad, Trans. Amer. Math. Soc. (2017).
A.M. Salagean, M. Mandache-Salagean, Counting and characterising functions with `fast points’ for differential attacks. Cryptography and Communications 9 (2) (2017), 217-239.
A. Matsuo, A. Veselov, Universal formula for the Hilbert series of minimal nilpotent orbits. Proc. Amer. Math. Soc. 145 (2017), no. 12, 5123-5130.
A. Sergeev, A. Veselov,Orbits and invariants of super Weyl groupoid. Int. Math. Res. Not. IMRN (2017), no. 20, 6149-6167.
A. Sergeev, A. Veselov, Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems. Adv. Math. 304 (2017), 728-768.
H. Ahmadinezhad, F. Zucconi, Mori dream spaces and birational rigidity of Fano 3-folds. Adv. Math. 292 (2016) 410-445.
H. Ahmadinezhad, A.S. Kaloghiros, Non-rigid quartic 3-folds, (2016) Compositio Mathematica, 152(5) (2016) 955-983.
J. Eckhardt, An inverse spectral problem for a star graph of Krein strings, Journal für die reine und angewandte Mathematik (Crelles Journal), 2016 (715) (2016).
J. Eckhardt, and A. Kostenko, The inverse spectral problem for indefinite strings, Inventiones mathematicae, 204(3) (2016), 939-977.
A.M. Salagean, R. Winter, M. Mandache-Salagean, R. Phan, Higher order differentiation over finite fields with applications to generalising the cube attack. Designs, Codes and Cryptography 84 (3) (2016) 425-449.
A. Bolsinov, V. Matveev, T. Mettler, S. Rosemann, Four-dimensional Kahler metrics admitting c-projective vector fields. J. Math. Pures Appl. (9) 103 (2015), no. 3, 619-657.
A. Bolsinov, V. Matveev, Local normal forms for geodesically equivalent pseudo-Riemannian metrics. Trans. Amer. Math. Soc. 367 (2015), no. 9, 6719-6749.
A. Bolsinov, A. Borisov, I. Mamaev, Geometrisation of Chaplygin’s reducing multiplier theorem. Nonlinearity 28 (2015), no. 7, 2307-2318.
J. Eckhardt, A. Kostenko, G. Teschl, Spectral asymptotics for canonical systems, Journal für die reine und angewandte Mathematik (Crelles Journal), 2018(736) (2015) , 285-315.
E. Ferapontov, V. Novikov, I. Roustemoglou, On integrability of discrete Hirota type equations in 3D. Int. Math. Res. Not. IMRN (2015), no. 13, 4933-4974.
M. Brambilla, O. Dumitrescu, E. Postinghel, On a notion of speciality of linear systems in Pn. Trans. Amer. Math. Soc. 367 (2015), no. 8, 5447-5473.
E. Postinghel, F. Sottile, N. Villamizar, Degenerations of real irrational toric varieties. J. Lond. Math. Soc. 92 (2015), no. 2, 223-241.
I. Coskun, A. Prendergast-Smith, Eckhard loci on hypersurfaces. Comm. Algebra 43 (2015), no. 8, 3083-3101.
A. Sergeev, A. Veselov, Jack-Laurent symmetric functions. Proc. Lond. Math. Soc. (3) 111 (2015), no. 1, 63-92.
K. Schobel, A. Veselov, Separation coordinates, moduli spaces and Stasheff polytopes. Comm. Math. Phys. 337 (2015), no. 3, 1255-1274.
A. Bolsinov, D. Tsonev, On a new class of holonomy groups in pseudo-Riemannian geometry. J. Differential Geom. 97 (2014), no. 3, 377-394.
A. Bolsinov, A. Izosimov, Singularities of bi-Hamiltonian systems. Comm. Math. Phys. 331 (2014), no. 2, 507-543.
J. Eckhardt, A. Kostenko, An Isospectral Problem for Global Conservative Multi-Peakon Solutions of the Camassa–Holm Equation, Communications in Mathematical Physics, 329(3) (2014), 893-918.
E. Ferapontov, B. Kruglikov, Dispersionless integrable systems in 3D and Einstein-Weyl geometry. J. Differential Geom. 97 (2014), no. 2, 215-254.
F. Baronio, M. Conforti, A. Degasperis, S. Lombardo, M. Onorato, S. Wabnitz, Vector rogue waves and baseband modulation instability in the defocusing regime. Phys. Rev. Lett. 113 (3) (2014), 034101.
I. Coskun, A. Prendergast-Smith, Fano manifolds of index n-1 and the cone conjecture. Int. Math. Res. Not. IMRN (2014), no. 9, 2401-2439.
Russian Science Foundation Grant: Dr Bolsinov, £250,000.
IAS semester theme on Geometry: Dr Ahmadinezhad (PI) £25,000.

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