Zubeyir CINKIR

       E-mail: cinkir@math dot uga dot edu

       In August 2007, I completed PhD. in the Department of Mathematics at the University of Georgia. I have been working at Wolfram Research, Inc., makers of Mathematica, since October 2007.

       My thesis advisor was  Robert Rumely. My Ph.D. thesis was about certain invariants of a particular Arakelov-Green's functions on metrized graphs and their applications to arithmetic of curves, such as the connections between the metrized graph invariants and the effective generalized Bogomolov Conjecture over function fields.

       My  research   interests are in Arithmetic Geometry, Combinatorics and Graph Theory, Algebraic/Analytic Number Theory. More specifically, I have been working on the invariants of metrized graphs and their applications within the last 4 years. In Arithmetic Geometry, their applications include the Effective Bogomolov Conjecture over function fields, the problems in Arakelov theory and arithmetic of curves. In Algebraic Geometry, these include geography of surfaces, bounding the self intersection of dualizing sheaf of semistable fibrations over curves, tropical geometry. In electrical circuit theory, the applications include combinatorial identities such as the generalizations of Foster’s network theorem.

My Research Statement  

My CV

My Teaching Statement

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       This is a cubic graph with equal edge lengths. Topologically, it is a hexagonal net around a torus. It is an interesting graph, because its tau constant is relatively quite small, around 1/105. The following codes are for computations related to the tau constant.

 Maple Codes,     Matlab Codes,    Matematica codes will be added in the near future.

Another graph with a small tau constant. This is plotted by using Mathematica.

       To learn more about the "Tau Constant" and to see more graphs of this type, click here!.