Faculty Beanland

Department of Mathematics and Applied Mathematics | Virginia Commonwealth University

Faculty

Kevin J. Beanland
Assistant Professor
Ph.D., University of South Carolina (2006)
kbeanland@vcu.edu
http://www.people.vcu.edu/~kbeanland
Office room: 4161
Office phone: (804) 828-4832

Research interests:
Functional analysis and the geometry of infinite dimensional Banach spaces.

Courses currently taught:
Mathematical Expostion (MATH 490)
Calculus II Honors (MATH 201)

Dr. Kevin J. Beanland earned his Ph.D. in mathematics in 2006 from University of South Carolina, focusing his dissertation work on the construction of hereditarily indecomposable Banach spaces. He worked for one year at Amherst College before coming to VCU. His current work includes the construction of weak Hilbert spaces with few symmetries and the application of decriptive set theory to study classes of Banach spaces and operators on them.

Publications:
*A weak Hilbert space with few symmetries, (with S.A. Argyros and Th. Raikoftsalis) submitted.
*Spreading models in the duals of Schlumprecht-type spaces, (with F. Sanacory) submitted.
*On strictly singular operators between separable Banach spaces, (with P. Dodos) submitted.
*An ordinal indexing of the space of strictly singular operators, to appear in the Israel Journal of Mathematics.
*Operators on asymptotic l-p spaces which are not compact perturbations of a multiple of the identity,, Illinois Journal of Mathematics, 52 (2009), no. 2, 515-532.
*Modification's of Thomae's function and differentiability, (with J. Roberts and C. Stevenson) The American Mathematical Monthly, 116 (2009), no. 6, 531-535. Also see our editors note containing additional citations.
*Descriptive set theoretic methods applied to strictly singular and strictly cosingular operators, (with G. Androulakis) Quaestiones Mathematicae, 31(2008), 151-161.
*A hereditarily indecomposable asymptotic l-2 Banach space, (with G. Androulakis) Glasgow Mathematical Journal, 48 (2006) 503-532.
*Embedding l-infinity into the space of operators on certain Banach spaces, (with G. Androulakis, S.J. Dilworth and F. Sanacory) Bulletin of the London Mathematical Society 38 (2006) 979-990.