Tianxuan Miao

tmiao@lakeheadu.ca
+1 807-343-8010ext. 7722
RB 2013
Mondays  & Wednesdays 9:30 am - 10:30 am or by appointment
Academic Qualifications: 
  • Ph.D.    University of Alberta
  • M.Sc.    Heilongjiang University, China
  • B.Sc.     Heilongjiang University, China
Previous Teaching/Work: 
Teaching (2022-2023)
  • Math 2050 FA/FB Applied Analysis I
  • Math 1152 WA Calculus
  • Math 4151 WA  Advanced Calculus
 
 

 

Research Interests: 

Tianxuan Miao's research interest is in abstract harmonic analysis, an area that is the meeting ground of group theory, measure theory, Banach algebras, C*-algebras, functional analysis and geometry. His interest centers around the study of geometric, algebraic and topological properties of certain Banach algebras associated to a locally compact group G, particularly the so-called Fourier algebra A(G) and Fourier-Stieltjes algebras B(G), as well as the more general Banach algebras Ap( G) and Bp( G). Among some of the problems that Tianxuan works on are the Arens regularity of A(G) and Ap(G), the decomposition of Bp(G) and the characterization of Ap(G), extreme points of the unit ball of B(G), and exposed points of the set of invariant means.