Thanos Gentimis


[Link to personal page]

I received my BS and MS in Mathematics from the National and Kapodistrian University of Athens, Greece in 2002 and 2005 respectively. My focus was on Algebra and Analysis with a minor in mathematics Education. I completed my PhD in Theoretical Mathematics in 2011 at the University of Florida, Gainesville. 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 Topological Data Analysis in Signal Processing, Coverage Networks, Social Networks and Big 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.

As part of the VISSTA group I am involved in projects ranging from image processing and machine learning, to text analytics and data mining with a focus on exploring new techniques and new mathematical tools to revisit old problems. Since summer 2013 I am part of the Lab of Analytical Sciences  and I work mostly under the projects of Data Readiness Levels and Future Sate Processing.

Publications:

Thanos Gentimis, Asymptotic dimension of finitely presented groups, Proc. Amer. Math. Soc. 136(2008), no 12, (4103-4410), 20F69(20F65)

Thanos Gentimis, On Limit Aperiodic G-Sets, Under review by Revista Matematica Complutence

Alexander Dranishnikov and Thanos Gentimis, On cohomology of the Higson compactification of hyperbolic spaces, Journal of Topology and Analysis,Vol 5,(2013),No:4,(477-489)

Saba Emrani, Thanos Gentimis and Hamid Krim, Persistent Homology Of Delay Embeddings,IEEE Signal Processing Letters,Vol.21(April 2014), No:14

Harish Chintakunta, Thanos Gentimis, Rocio Gonzalez-Diaz, Maria-Jose Jimenez, Hamid Krim Information Theoretic Persistent Barcodes, Accepted by Pattern Recognition Journal, Elsevier, Spring 2014

Maria Bampasidou, Thanos Gentimis, Modeling Collaborations with Persistent Homology, preprint available on arxiv