Newcastle University

Roles and Responsibilities

Director of Teaching in Mathematics

Chair of STLC

Research Interests

• Functional Analysis


• Complex Analysis


• Cohomology of Banach Algebras


• Variation of the spectrum

Undergraduate Teaching

MAS1242
MAS2242
MAS3214

• Gourdeau F, White MC. The cyclic and simplicial cohomology of the Cuntz semigroup algebra. Journal of Mathematical Analysis and Applications 2012, 386(2), 921-932.
• Gourdeau F, Gronbaek N, White MC. Homology and cohomology of Rees semigroup algebras. Studia Mathematica 2011, 202(2), 105-121.
• Choi Y, Gourdeau F, White MC. Simplicial cohomology of band semigroup algebras. Proceedings of the Royal Society of Edinburgh, Section A: Mathematics 2011, (accepted).
• Gourdeau F, White MC. The cyclic and simplicial cohomology of the bicyclic semigroup algebra. Quarterly Journal of Mathematics 2011, 62(3), 607-624.
• Abouhajar AA, White MC, Young NJ. A Schwarz Lemma for a domain related to μ-synthesis. Journal of Geometric Analysis 2007, 17(4), 717-750.
• Gourdeau F, Pourabbas A, White MC. Simplicial cohomology of some semigroup algebras. Canadian Mathematical Bulletin 2007, 50(1), 56-70.
• Gourdeau F, Lykova ZA, White MC. A Künneth formula in topological homology and its applications to the simplicial cohomology of ℓ¹(ℤ+^k). Studia Mathematica 2005, 166(1), 29-54.
• Gourdeau F, Johnson BE, White MC. The cyclic and simplicial cohomology of l1(N). Transactions of the American Mathematical Society 2005, 357(12), 5097-5113.
• Lykova ZA, Gourdeau F, White MC. The simplicial cohomology of L1(Rk+). In:To-Ming Lau, A., Runde, V., ed. Branch Algebras and Their Applications.Providence, Rhode Island, USA:American Mathematical Society,2005, pp. 95-109.
• Ransford T and White MC. Spectral charactarization of algebraic elements.. Bulletin of the London Mathematical Society 2001, 33(1), 77-82.
• Pugach LI, White MC. Homology and cohomology groups of commutative Banach algebras and analytic polydiscs. Glasgow Mathematical Journal 2000, 42(1), 15-24.
• White MC, GALE J E. An analytic semigroup version of the Beurling-Helson theorem. Mathematische Zeitschrift, 225, 151-165 1997.
• White MC. Analytic multivalued functions and spectral trace. . Mathematische Annalen, 304, 669-683 1996.
• White MC. Injective modules for uniform algebras. Proc.London Math.Soc., 73, 155-184 1996.