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

Qualifications

  • PhD (Mathematics, Moscow State University 1990)

PhD opportunities

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:

Cuypers, H., Roberts K., Shpectorov S. (2015), Recovering the Lie algebra from its extremal geometry, Journal of Algebra,  441 (2015), 196-215.

Hall, J. I., Rehren F., Shpectorov, S. (2015), Primitive axial algebras of Jordan type, Journal of Algebra, 437 (2015), 79-115.

James, A., Magaard, K., Shpectorov, S. (2015), The lifting invariant distinguishes components of Hurwitz spaces for A_5, Proceedings of the American Mathematical Society, 143 (2015), 1377-1390.

McInroy, J., Pralle H., Shpectorov, S. (2014), New flag-transitive geometries for the groups Sp_4(K) and SU_5(K), Geometriae Dedicata, 173 (2014), 65-82.

Klavzar, S., Shpectoroc, S. (2012), Asymptotic number of isometric generalized Fibonacci cubes, European Journal of Combinatorics, 33 (2012), 220-226.