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Dr. Athanasios Georgiadis

Assistant Professor (Statistics)
      
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Dr. Athanasios Georgiadis

Assistant Professor (Statistics)

 georgiaa@tcd.ie

 


I am an Assistant Professor in the School of Computer Science and Statistics of Trinity College of Dublin and the course Director of the Major in Mathematics with Minor in Statistics. I Studied with distinctions in Aristotle University of Thessaloniki, Greece and I obtained my PhD in 2011. Since then I have worked in 5 Universities in 4 Countries, as lecturer, postdoc and assistant professor. I have published over 30 peer-reviewed journal papers, in journals like Bernoulli, Applied and Computational Harmonic Analysis, Transactions of AMS, Journal of Nonparametric Statistics and Constructive Approximations. My main interest is in the development of function spaces in the areas of mathematical analysis and statistics. My main statistical interest is in exploring estimation of probability density functions and approximation of random fields. One of my main achievements is the estimation of probability density functions of random variables distributed on manifolds and more general metric spaces. In my recent works, (one published in Bernoulli- between the top journals in the area) my co-authors and I established estimators via kernels and wavelets on broad metric spaces, proving optimality and adaptivity, breaking the ground for future research. Recently we applied the above estimators in the field of Seismology. Currently, I'm expanding my research horizons in neural networks, artificial intelligence and business analytics. As a teacher, I have the experience of teaching in 5 different Universities, in all the types of audiences with respect to the size, age and background and I always receive excellent reports from my students. The biggest moment in my teaching career was in 2017 when I was awarded as the "Teacher of the year" in Aalborg University, Denmark. I have supervised more than 30 theses for graduate and undergraduate Students and currently I am supervising two PhD thesis (one externally funded by TikTok). I have been decisively involved in many other aspects of the Academic life, such us the organization of events like conferences, committees, teaching curriculum, exchange and more. Finally I have served the research community by refereeing more than 100 manuscripts for more than 25 journals and as a session chair in the research conferences on my fields of interest.
Details Date
Journal Referee 2011-today
Reviewer for AMS. Reviewer number: 74550. 2010-today
Reviewer for Zbmath. Reviewer number: 14491. 2013-today
Language Skill Reading Skill Writing Skill Speaking
Danish Basic Basic Basic
English Fluent Fluent Fluent
Greek Fluent Fluent Fluent
Spanish Basic Basic Basic
Details Date From Date To
Czech Science Foundation (GACR), Czech Republic - International Referee / Grant Reviewer. 2026
American mathematical society. Reviewer number: 74550 2010
Zentralblatt math. Reviewer number: 14491 2010
Galatia Cleanthous, Athanasios G. Georgiadis and G. Kyriazis, Frame Decomposition of Mixed-Smoothness Besov and Triebel-Lizorkin Spaces on Product Metric Spaces Associated to Operators, Journal of Fourier Analysis and Applications, 32, (38), 2026, p1 - 72, Journal Article, PUBLISHED
Athanasios G. Georgiadis and Andrew P. Percival, Rate-optimal and computationally efficient nonparametric density and probability estimation on the circle and the sphere., Electronic Journal of Statistics, 20, (2), 2026, p3255 - 3290, Journal Article, PUBLISHED
Alfredo Alegría, Galatia Cleanthous and Athanasios G. Georgiadis, Series expansion and fast simulations of multivariate isotropic random fields on the paraboloid, Computational and Applied Mathematics, 45, (152), 2026, p1 - 19, Journal Article, PUBLISHED
Athanasios G. Georgiadis, George Kyriazis, Pencho Petrushev, Spaces of Distributions on Product Metric Spaces Associated with Operators, Dissertationes Mathematicae, 2025, 1 - 114pp, Book, PUBLISHED
Galatia Cleanthous, Athanasios G. Georgiadis, Oleg V. Lepski, Adaptive Estimation of the L_2-Norm of a Probability Density and Related Topics I. Lower Bounds, Annals of Statistics, 53, (3), 2025, p1257 - 1274, Journal Article, PUBLISHED
Galatia Cleanthous, Athanasios G. Georgiadis, Oleg V. Lepski, Adaptive Estimation of the L_2-Norm of a Probability Density and Related Topics II. Upper Bounds via the Oracle Approach, Annals of Statistics, 53, (3), 2025, p1275 - 1297, Journal Article, PUBLISHED
George Filippou, Athanasios G. Georgiadis, Ashish Kumar Jha, Unveiling digital dynamics: Do digital media investments impact organic branded searches?, Journal of Marketing Analytics, 2025, p1-13 , Notes: [Accepted Appears Online], Journal Article, PUBLISHED
A. Alegria, G. Cleanthous, A. G. Georgiadis, E. Porcu, P. White, Gaussian random fields on the product of spheres: theory and applications, Electronic Journal of Statistics, 18, (1), 2024, p1394 - 1435, Journal Article, PUBLISHED
Galatia Cleanthous, Athanasios G. Georgiadis, Philip White, Pointwise density estimation on metric spaces and applications in seismology, Metrika, 2024, p1 - 30, Notes: [Accepted], Journal Article, PUBLISHED
George Filippou, Athanasios G. Georgiadis, Ashish Kumar Jha, Establishing the link: Does web traffic from various marketing channels influence direct traffic source purchases?, Marketing letters, (35), 2024, p59-71 , Notes: [I served as an author and the supervisor of my PhD Student, George Filippou. My first research in the field of Business Analytics], Journal Article, PUBLISHED
  

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Award Date
Teacher of the Year, School of Engineering and Science, Aalborg University, Denmark. 2017-2018
Award for excellent performance in diploma studies 2002-2006
Award for excellent performance in graduate studies 2006-2008
Performance Scholarship during every year of the undergraduate studies 2002-2006
Performance Scholarship during every year of the graduate studies 2006-2008
Funding for PhD thesis, from Onassis' Foundation, Greece. 2008-2011
Funding for graduate studies, from Onassis' Foundation, Greece 2006-2008
My research lies at the intersection of Mathematical Analysis and Statistics. A distinctive feature of my programme is the interaction between these areas: I develop mathematical theory to address fundamental statistical problems, increasingly translating it into practical methods and interdisciplinary applications. My most significant recent achievement is the resolution of a long-standing open problem in adaptive estimation, through two consecutive papers in the Annals of Statistics, the leading international journal in Statistics. The problem concerns optimal adaptive estimation of the L2-norm of an unknown probability density and had remained open for approximately three decades. This fundamental quantity is connected to major statistical problems, including goodness-of-fit testing, confidence sets and information-theoretic measures such as entropy, and arises in regression, cross-validation, signal processing and inverse problems. We established matching lower and upper bounds, providing a sharp and complete problem solution, while developing new theoretical tools and frameworks with broader applicability. To the best of my knowledge, these are the first Annals of Statistics publications by Ireland-based researchers. A second major achievement is my recent 114-page research monograph in Dissertationes Mathematicae, developing a comprehensive theory of product smoothness spaces on metric spaces, allowing different structures and smoothness properties across individual variables. This represents a substantial contribution to Mathematical Analysis and provides foundations for future developments in Statistics on complex domains. These achievements build on a 15-year sustained record of theoretical contributions, to operators and function spaces, nonparametric estimators, and random fields, published in leading international journals such as Bernoulli, Transactions of the American Mathematical Society, Applied and Computational Harmonic Analysis, and the Journal of Fourier Analysis and Applications. My research increasingly extends from theory to application, spanning Astronomy, Business Analytics, Climatology, Environmental Science, Seismology, and Zoology. My future programme builds on these achievements through ambitious theoretical problems, international collaborations and expanding interdisciplinary applications.