INTEREST AREAS
- Geometric nonlinear functional analysis
- Infinite dimensional topology
- Metric geometry
Education
- B.Sc (Hons), University of New England, Australia (1986)
- PhD, Kent State University, USA (1993)
Experience
- Senior Lecturer, University of Pretoria, South Africa (1994 - 1999)
- Professor, Canisius College, USA (1999 - present)
- Professor Extraordinarius (Decision Sciences), University of South Africa, South Africa (2015 - present)
- Instructional Professor, Texas A&M University at Qatar, State of Qatar (August 2018 - present)
Publications
- "On the generalised roundness of finite metric spaces", J. Math. Anal. Appl. 192 (1995), pp. 323-334
- (with C. Lennard and A. Tonge), "Generalised roundness and negative type", Michigan Math. J. 44 (1997), pp. 37-45
- (with Ian Doust), "Enhanced negative type for finite metric trees", J. Funct. Anal. 254 (2008), pp. 2336-2364
- (with H. Li), "Strict p-negative type of a metric space", Positivity 14 (2010), pp. 529-544
- (with I. Doust and E. Caffarelli), "Metric trees of generalised roundness one", Aequat. Math. 83 (2012), pp. 239-256
- (with K. Kelleher, T. Osborn and D. Miller), "Polygonal equalities and virtual degeneracy in Lp-spaces", J. Math. Anal. Appl. 415 (2014), pp. 247-268
- (with I. Doust and S. Sánchez), "Asymptotic negative type properties of finite ultrametric spaces", J. Math. Anal. Appl. 446 (2017), pp. 1776-1793
- (with M. Nichols and L. Levy-Moore), "Comparing the generalised roundness of metric spaces", Bull. Aust. Math. Soc. 95 (2017), pp. 299-314
- The geometry of two-valued subsets of Lp-spaces, Math. Slovaca 67 (2017), pp. 751-758