Thanos Gentimis


[Link to personal page]

I received my BS and MS in Mathematics from the National and Kapodistrian University of Athens, Greece on 2002 and 2005 respectively. My focus was on Algebra and Analysis with a minor in mathematics Education. I received my PhD in Theoretical Mathematics from University of Florida, Gainesville in 2011. My field of expertise is Algebraic Topology and specifically Geometric Group theory. The title of my dissertation is “Properties of Groups at Infinity”,which I completed under the guidance of Dr. Alexander Dranishnikov.

My recent work revolves around applications of Computational Topology in Signal Processing, Coverage Networks, Social Networks and Data Analysis. I am also interested in purely abstract results related to the new and growing field of Computational Topology. I actively seek to establish clear mathematical formulations that will explain some of the current methods used in Computational Topology and expand the relative mathematical theory. Finally I am thinking of ways to integrate some of the materials of my research into an educational plan for undergraduate courses like Analysis, Computational Linear Algebra, and Applied Algebra.

Publications

  • Saba Emrani, Thanos Gentimis, and Hamid Krim, “Persistent Homology of Delay Embeddings”, to be submitted. Preprint
  • Saba EmraniThanos Gentimis, and Hamid Krim, “Persistent Homology of Delay Embeddings and its Application in Wheeze Detection”, submitted to 1st IEEE Global Conference on Signal and Information Processing, GlobalSIP 2013. Preprint
  • Thanos Gentimis, “Asymptotic dimension of finitely presented groups”, Proc. Amer. Math. Soc. 136(2008), no 12, 4103-4410, 20F69(20F65) Preprint
  •  Thanos Gentimis, “On Limit Aperiodic G-Sets”, Under review by Revista Matematica Complutence Preprint
  • Alexander Dranishnikov and Thanos Gentimis, On cohomology of the Higson compactification of hyperbolic spaces, Submitted to Topology and Applications Preprint