I am a fifth-year PhD student in the Statistics Department at Duke University. My advisor is Sayan Mukherjee.
I am interested in Fréchet means, Gaussian fields and inferential problems on metric spaces and manifolds and, in general in data displaying interesting geometric structures.
My Erdős number is 3. I live with two cats.
Published
Aveni A, Leonetti P (2023). Most Numbers are Normal. Mathematical Proceedings of the Cambridge Philosophical Society, 175(1), 1-11.
Caprio M, Aveni A, Mukherjee S (2022) Concerning Three Classes of Non-Diophantine Arithmetics. Involve, 15(5), 763–774.
In Review
Aveni A, Crippa L, Principi G (2024) Rankings Aggregation: An Axiomatic Approach.
Aveni A, Mukherjee S (2024) Uniform Consistency of Generalized Frechet Means.
Aveni A, Govc D, Roldán É (2024) Combinatorial Surfaces in the d-Cube.
In Preparation
Aveni A, Mukherjee S (2024) Uniform CLTs for Generalized Frechet Means.
Aveni A, Govc D, Roldán É (2024) Combinatorial Surfaces in Regular Polytopes.
2025 PhD in Statistical Sciences, Duke University, Durham (USA).
2025 Concurrent Master's Degree in Mathematics, Duke University, Durham (USA).
2023 PhD Candidate in Statistical Sciences, Duke University, Durham (USA).
2020 SMI Summer School, Differential Geometry and Functional Analysis, Perugia (Italy).
2019 Master's Degree (summa cum laude) ESS, Bocconi University, Milan (Italy).
2019 Como Summer School in Random Graphs and Complex Networks, Como (Italy).
2017 SMI Summer School, Mathematical Statistics and Game Theory, Perugia (Italy).
2017 Bachelor's Degree (summa cum laude) CLES, Bocconi University, Milan (Italy).
2016 LSE Methods Summer School in Real Analysis.
2015 LSE Summer School in Financial Markets.
2014 Scientific High School diploma (100/100), Liceo da Vinci, Treviso (Italy).
ISBA World Meeting, Poster presentation: Inference of Rankings with Generalized Mallows models. Venice (Italy), July 2-6, 2024.
Max Plank Institute, Math and AI Day: Uniform Consistency of Generalized Fréchet Means. Leipzig (Germany). February 29, 2024.
Duke Graduate Seminars: Distance-based Models for Rankings. 2023
Duke Graduate Seminars: CLTs for Generalized Fréchet Means. 2022
Duke Graduate Seminars: Gibbs-type Processes for Bayesian Density Estimation. 2021
(Fall 23) TA for STA711 Probability and Measure Theory Duke University.
(Spring 23) TA for STA602 Bayesian Statistics, Duke University.
(Spring 22) TA for STA561 Probabilistic Machine Learning, Duke University.
(Fall 21) TA for STA711 Probability and Measure Theory, Duke University.
(Spring 21) TA for STA199 Introduction to Data Science, Duke University.
I received the Honorable Mention as TA of the year 2021-2022
I organized twice a measure theory boot camp for incoming stats PhD students.