Research

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Curriculum Vitae:

Publications:

(1) Davison, T., Unitary Representations of the Baumslag-Solitar Group on the Cantor Set, Journal of Fourier Analysis and Applications DOI: 10.1007/s00041-020-09730-0 (2020)

(2) Davison, T. An Operator-Valued Kantorovich Metric on Complete Metric Spaces, Acta Applicandae Mathematicae DOI: 10.1007/s10440-018-0213-y (2018) 

(2) Davison, T., A Positive Operator-Valued Measure for an Iterated Function System, Acta Applicandae Mathematicae DOI: 10.1007/s10440-018-0161-6 (2018)

(4) Davison, T., Generalizing the Kantorovich Metric to Projection Valued Measures, Acta Applicandae Mathematicae DOI: 10.1007/s10440-014-9976-y (2014) 

Dissertation:

Davison, T., Generalizing the Kantorovich Metric to Projection-Valued Measures: With an Application to Iterated Function Systems, University of Colorado at Boulder, ProQuest Dissertations Publishing (2015)

Video:

Here is a talk that I presented at the Canadian Mathematical Society Winter Meetings special session on Fractal Geometry, Analysis, and Applications in Dec. 2016 in Niagara Falls, Ontario:

CU STEMinar:

I am the founder and former president of the CU STEMinar, which is a graduate school organization at CU Boulder operated as a subsidiary under the Center for STEM Learning (CSL). It was founded in August 2013, and has received several academic grants to support programming. Please check out the website:

http://www.colorado.edu/csl/steminar