Professor Sergey Shpectorov

Professor Sergey Shpectorov

School of Mathematics
Professor of Pure Mathematics

Contact details

Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Qualifications

  • PhD (Mathematics, Moscow State University 1990)

Research

RESEARCH INTERESTS

Sergey's research interests are in algebra, geometry, and combinatorics. The unifying theme is actions of groups: on geometries, graphs, Riemann surfaces, and, recently, axial algebras, which form a new interesting class of non-associative structures having applications in physics. In core group theory, Sergey is interested in finite simple groups, their classification, origin and properties of sporadic simple groups, and fusion systems. He is also interested in purely geometric and purely combinatorial questions, in particular, in the theory of diagram geometries and buildings, algebraic graph theory, and metric graph theory, including partial cubes and similar graphs with good metric properties.

Publications

Recent publications

Article

McInroy, J & Shpectorov, S 2020, 'An expansion algorithm for constructing axial algebras', Journal of Algebra, vol. 550, pp. 379-409. https://doi.org/10.1016/j.jalgebra.2019.12.018, https://doi.org/10.1016/j.jalgebra.2019.12.018

Medts, TD, Peacock, SF, Shpectorov, S & Couwenberghe, MV 2020, 'Decomposition algebras and axial algebras', Journal of Algebra, vol. 556, pp. 287-314. https://doi.org/10.1016/j.jalgebra.2020.02.027

Alfuraidan, MR, Sarumi, IO & Shpectorov, S 2019, 'On the Non-Existence of srg(76,21,2,7)', Graphs and Combinatorics, vol. 35, no. 4, pp. 847-854. https://doi.org/10.1007/s00373-019-02039-w

Khasraw, S, McInroy, J & Shpectorov, S 2019, 'On the structure of axial algebras', Transactions of the American Mathematical Society, vol. 373, no. 3, pp. 2135-2156. https://doi.org/10.1090/tran/7979

Blok, R, Hoffman, C & Shpectorov, S 2018, 'Classification of Curtis-Tits and Phan amalgams with 3-spherical diagram', Israel Journal of Mathematics. https://doi.org/10.1007/s11856-018-1819-5

Hall, JI, Segev, Y & Shpectorov, S 2018, 'Miyamoto involutions in axial algebras of Jordan type half', Israel Journal of Mathematics, vol. 223, no. 1, pp. 261-308. https://doi.org/10.1007/s11856-017-1615-7

Hall, JI, Segev, Y & Shpectorov, S 2018, 'On primitive axial algebras of Jordan type', Bulletin of the Institute of Mathematics Academia Sinica New Series, vol. 13, no. 4, pp. 397-409. https://doi.org/10.21915/BIMAS.2018403

De Bruyn, B & Shpectorov, S 2018, 'The hyperplanes of the near hexagon related to the extended ternary Golay code', Geometriae Dedicata. https://doi.org/10.1007/s10711-018-0400-z

Wang, G & Shpectorov, S 2018, 'l1-embeddability of generic quadrilateral Möbius maps', European Journal of Combinatorics. https://doi.org/10.1016/j.ejc.2018.02.009

McInroy, J & Shpectorov, S 2015, 'On Sidki's presentation for orthogonal groups', Journal of Algebra, vol. 434, pp. 227-248. https://doi.org/10.1016/j.jalgebra.2015.02.031

Cohen, AM, O'Brien, EA & Shpectorov, S 2015, 'On the uniqueness of the generalized octagon of order (2, 4)', Journal of Algebra, vol. 421, pp. 369-393. https://doi.org/10.1016/j.jalgebra.2014.08.034

Hall, JI, Rehren, F & Shpectorov, S 2015, 'Primitive axial algebras of Jordan type', Journal of Algebra, vol. 437, pp. 79-115. https://doi.org/10.1016/j.jalgebra.2015.03.026

Cuypers, H, Roberts, K & Shpectorov, S 2015, 'Recovering the Lie algebra from its extremal geometry', Journal of Algebra, vol. 441, pp. 196-215. https://doi.org/10.1016/j.jalgebra.2015.06.037

Magaard, K, Shpectorov, S & James, A 2015, 'The lift invariant distinguishes components of Hurwitz spaces for A5', Proceedings of the American Mathematical Society, vol. 143, pp. 1377-1390. https://doi.org/10.1090/S0002-9939-2014-12185-X

Hall, JI, Rehren, F & Shpectorov, S 2015, 'Universal axial algebras and a theorem of Sakuma', Journal of Algebra, vol. 421, pp. 394-424. https://doi.org/10.1016/j.jalgebra.2014.08.035

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