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KYLE HAMBROOK, University of Rochester
Bio: Visiting Assistant Professor (University of Rochester); Ph.D. 2015, UBC (Izabella Laba); M.Sc. 2011 UBC (Michael Bennett); B.Sc. 2009 U. of Lethbridge
Awards:
NSERC Canada Graduate Scholarship Doctoral Level 2011 and Masters Level 2009
UBC Doctoral Fellowship & Li Tze Fong Memorial Fellowship 2011
Governor General’s Academic Medal 2009
Research Interests include: Harmonic analysis, geometric measure theory, Diophantine approximation, analytic number theory
Title: Fourier Analysis in Metric Diophantine Approximation
Abstract: I will discuss the connections between metric Diophantine approximation and the construction of measures whose Fourier transform decays as fast as possible (relative to the Hausdorff dimension of the support of the measure).
This talk will be accessible to undergraduates with a solid understanding of calculus.
Concepts like Diophantine approximation, measure, Fourier transform, and Hausdorff dimension will be explained. Some open research problems will be highlighted.
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science
