Professor Sergey Shpectorov

Professor Sergey Shpectorov

School of Mathematics
Professor of Pure Mathematics

Contact details

Telephone
+44 (0) 121 414 6604
Fax
+44 (0) 121 414 3389
Email
s.shpectorov@bham.ac.uk
View my research portal
Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

School web page: web.mat.bham.ac.uk/S.Shpectorov/

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

Galt, A, Joshi, V, Mamontov, A, Shpectorov, S & Staroletov, A 2021, 'Double axes and subalgebras of Monster type in Matsuo algebras', Communications in Algebra, vol. 49, no. 10, pp. 4208-4248. https://doi.org/10.1080/00927872.2021.1917589

Khasraw, SMS, McInroy, J & Shpectorov, S 2022, 'Enumerating 3-generated axial algebras of Monster type', Journal of Pure and Applied Algebra, vol. 226, no. 2, 106816. https://doi.org/10.1016/j.jpaa.2021.106816

Hall, JI & Shpectorov, S 2021, 'The spectra of finite 3-transposition groups', Arabian Journal of Mathematics. https://doi.org/10.1007/s40065-021-00329-x

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

Franchi, C, Mainardis, M & Shpectorov, S 2020, 'An infinite-dimensional 2-generated primitive axial algebra of Monster type', Proceedings of the American Mathematical Society.

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

Galt, A, Joshi, V, Mamontov, A, Shpectorov, S & Staroletov, A 2020, 'Double axes and subalgebras of Monster type in Matsuo algebras', Communications in Algebra.

Blok, R, Hoffman, C & Shpectorov, S 2019, 'Classification of Curtis-Tits and Phan amalgams with 3-spherical diagram', Israel Journal of Mathematics, vol. 230, no. 1, pp. 97–140. https://doi.org/10.1007/s11856-018-1819-5

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

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

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