I am a mathematician working as an Academic Fellow in Marketing and Reputation, Saïd Business School, University of Oxford, United Kingdom (2019-Present).

I am working with Felipe Thomaz, Associate Professor of Marketing at Oxford Saïd.

My research is in Discrete Mathematics, but more specifically, Spectral Hypergraph Theory. The goal of Spectral Hypergraph Theory is to relate the structure of a hypergraph to its spectrum; that is to say, how one can relate the structure of a multi-dimensional network to a (relatively) short list of numbers. I am excited for the opportunity to apply this work to problems concerning reputation and the future of marketing.  

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My mathematical research interests also include Computational Algebra, k-planar Crossing Numbers, Additive Combinatorics, and Graph Coloring. My interdisciplinary research interests include Analyzing Networks, Trend Detection, and Modeling Reputation.

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I received a PhD in Mathematics from the University of South Carolina in May 2019 and hold a Bachelor's degree in Mathematics from Westminster College, New Wilmington, PA. My PhD dissertation is titled 'On The Characteristic Polynomial of a Hypergraph'.

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Publications

Research in Progress

Research Statement

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Research Publications

• G. J. Clark, F. Thomaz, A. Stephen, On the Effect of Data Dimensionality on Eigenvector Centrality. (Submitted)

• G. J. Clark, Comparing Eigenvector and Degree Dispersion with the Principal Ratio of a Graph. (Submitted)

• G. J. Clark, J. Cooper, Applications of the Harary-Sachs Theorem for Hypergraphs. (Submitted)

• G. J. Clark, J. Cooper, A Harary-Sachs Theorem for Hypergraphs. Journal of Combinatorial Theory, Series B, 149:1-15, 2021.

• G. J. Clark, F. Thomaz, A. Wiedemann, Designed to go dark: an examination of incentives for digital black markets to self-terminate. (Submitted)

• G. J. Clark, J. Cooper, Adjacency Spectral Theory for Uniform Hypergraphs, IMAGE (Bull Lin. All. Soc.), 62 (2019), pp.7-19.

• G. J. Clark, J. Cooper, Leading Coefficients and the Multiplicity of Known Roots. Numer Linear Algebra Appl. 2020; 27:e2275.

• J. Asplund, E. Czabarka, G. J. Clark, et al., Using Block Designs in Crossing Number Bounds. J Combin Des. 2019; 27: 586-597.

• G. J. Clark. J. Cooper, On the Adjacency Spectra of Hypertrees, The Electronic Journal of Combinatorics, 25 (2018), no.2, pp. 2-48.

• G. J. Clark, G. Spencer, New Bounds on the Biplanar Crossing Number of Low-dimensional Hypercubes. Bulletin of the Institute of Combinatorics and its Applications (BICA) 83(2018), 52-60.

• A. Bright, G. J. Clark, C. Dunn, K. Evitts, M. Hitchman, B. Keating, B. Whetter, Tiling Annular Regions with Skew and T-tetrominoes, Involve, a Journal of Mathematics 10-3 (2017), 505–521. DOI 10.2140/involve.2017.10.505.

• G. J. Clark, Optimal Numbers and Solutions in the Euclidean Algorithm, The Pentagon, A Mathematics Magazine for Students, 73-01 (2013), 23-35.

Teaching

Tutorial Leader

Saïd Business School, University of Oxford

• Undergraduate Marketing Core (Hilary 2022)

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Teaching Assistant

Saïd Business School, University of Oxford

• MBA Marketing Core (Michaelmas 2021, 2019)

Segmentation, targeting, positioning, and customer value​

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Invited Lecturer

 Saïd Business School, University of Oxford

• Oxford Executive Diploma in Artificial Intelligence for Business (Hilary, Michaelmas 2021)

Descriptive, predictive, and prescriptive analytics

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Instructor of Record

Department of Mathematics, University of South Carolina, Columbia, SC (July 2014 - May 2019)

• Math 115: Precalculus (Fall 2015)

• Math 122: Business Calculus (Fall 2018, Spring 2018, Fall 2017)

• Math 170: Finite Mathematics (Spring 2016, Fall 2015, Summer 2015)

Mentorship

Teaching Mentorship

• Graduate Student Mentor, Department of Mathematics, University of South Carolina (Fall 2016-Spring 2018)

Research Mentorship

• A Summary of Splitting Numbers for Integer Tiles, C. Simmons, C. Stewart, J. Folks, S. Lee, S. Miyasaki, University of South Carolina (Summer 2016). Click here for a description of this project and a sample of student work.

• Generalized Dinitz Conjecture, E. Miller, University of South Carolina (Fall 2015, Spring 2016). Click here for a description of this project and a sample of student work.

Grants and Honors

Grants

• SPARC Grant Recipient, University of South Carolina (Summer 2017)​

Honors

• Preparing Future Faculty With Distinction In Teaching.

• 'Preparing Future Faculty' Certificate - Successful PFF candidates have completed activities designed to prepare participants in the critical areas of faculty competence: teaching, research and service. This accomplishment is an indicator of the participant’s initiative and a measure of experience toward becoming future faculty. University of South Carolina (Spring 2018)

• Outstanding Teaching Award, University of South Carolina (Spring 2018)

• Discrete Mathematics Seminar Organizer, University of South Carolina (Fall 2016-Spring 2017)

• Discover Poster Session Judge, University of South Carolina (Spring 2016, Spring 2017)