Dr. Vernon received his BS in Mathematics from Tennessee Technological University and his MS and Ph.D. from Tulane University. His research interests include Continuum Theory, Difference Equations, and Number Theory.

Selected Publications

• Vernon, R., Arora, G., Unnithan, S. (2020) “A Study of Linear Recurrence Relations with Periodic Coefficients” Journal of Combinatorics & System Sciences https://eds.p.ebscohost.com/eds/pdfviewer/pdfviewer?vid=1&sid=ae5854d2-e4b6-42fd-8009-5bad7b24528e%40redis
• Kostrov, Y., Kudlak, Z., Vernon, R. (2020), “On the Boundedness Character of a Rational System of Difference Equations with Non-constant Coefficients” Difference Equations and Discrete Dynamical Systems with Applications https://www.researchgate.net/publication/339157844_On_the_Boundedness_Character_of_a_Rational_System_of_Difference_Equations_with_Non-constant_Coefficients
• Vernon, R. (2018) “Arbitrarily High Hausdorff Dimensions of Continua” Missouri Journal of Mathematics and Science https://projecteuclid.org/journals/missouri-journal-of-mathematical-sciences/volume-30/issue-1/Arbitrarily-High-Hausdorff-Dimensions-of-Continua/10.35834/mjms/1534384956.short
• Vernon, R. (2018) “Relationships between Fibonacci-type sequences and Golden-type ratios” Notes on Number Theory and Discrete Mathematics https://nntdm.net/volume-24-2018/number-2/85-89/
• Vernon, R. (2014), “Inverse limits of set-valued functions indexed by the integers." 
  Topology and its Applications, https://www.sciencedirect.com/science/article/pii/S0166864114001795Vernon, R. (2011), “Concerning the preservation of chain ability upon taking a preimage under z -> z^2” Topology and its Applications, https://www.sciencedirect.com/science/article/pii/S0166864110003159
• Vernon, R. (2007), “Concerning Preservation of Indecomposability upon Taking a Preimage Under z -> z^n” Topology Proceedings, http://topology.nipissingu.ca/tp/reprints/v31/r2.htm