Research

 Articles:  

1. Core equality of real sequences, submitted [ arXiv ]

2.  Strong universality, recurrence, and analytic P-ideals in dynamical systems, submitted [  arXiv ]

3.  Subcommutativity of integrals and quasi-arithmetic means (w/ Dorota Glazowska, Janusz Matwoski, and Salvatore Tringali), submitted [ arXiv ]

4. Expected multi-utility representations of preferences over lotteries, submitted [ arXiv ]

5.  Representations of cones and applications to decision theory (w/ Giulio Principi), submitted [ arXiv ]

6. Rough families, cluster points, and cores, Journal of Convex Analysis, to appear [ arXiv ]

7. Regular matrices on unbounded linear operators, Proceedings of the Royal Society of Edinburgh, Section A: Mathematics, to appear  [ arXiv ]

8. Quasi-arithmetic means ad libitum, Results in Mathematics, to appear [ arXiv ]

9.  Capacities and Choquet averages of ultrafilters, Proceedings of the American Mathematical Society, to appear (w/ Simone Cerreia-Vioglio, Fabio Maccheroni, and Massimo Marinacci) [ arXiv ]

10.  On the density of sumsets, II, Bulletin of the Australian Mathematical Society, to appear (w/ Salvatore Tringali) [ arXiv ]

11. Dense lineability and spaceability in certain subsets of $\ell_\infty$, Bulletin of the London Mathematical Society, to appear (w/ Tommaso Russo and Jacopo Somaglia) [ arXiv ]

12. On iterates of shifted Euler's function, Bulletin of the Australian Mathematical Society, to appear (w/ Florian Luca) [ arXiv ]

13. Another characterization of meager ideals, RACSAM, to appear (w/ Marek Balcerzak and Szymon Glab) [ arXiv ]

14. Almost all sets of nonnegative integers and their small perturbations are not sumsets, Proceedings of the American Mathematical Society, to appear [ arXiv ]

15. The maximum domain of attraction of multivariate extreme value distributions is small, (2022) Electronic Communications in Probability, Vol.27, pp.1-8 (w/ Amir Khorrami Chokami) [ arXiv ]

16. Most numbers are not normal, Mathematical Proceedings of the Cambridge Philosophical Society, to appear (w/ Andrea Aveni)  [ arXiv ]

17. On some locally convex FK spaces, Topology and its Applications, to appear (w/ Cihan Orhan) [ arXiv ]

18. Tauberian theorems for ordinary convergence, Journal of Mathematical Analysis and Applications, to appear [ arXiv ]

19. A characterization of the vector lattice of measurable functions, (2022) Milan Journal of Mathematics, Vol.90, pp.291-301 (w/ Simone Cerreia-Vioglio and Fabio Maccheroni) [ arXiv ]

20. On the density of sumsets, (2022) Monatshefte fur Mathematik, Vol.198, pp.565-580 (w/ Salvatore Tringali) [ arXiv ]

21. Density-like and Generalized Density Ideals, (2022) The Journal of Symbolic Logic, Vol.87, No.1, pp.228-251 (w/ Adam Kwela) [ arXiv ]

22. On consecutive perfect powers with elementary methods, (2021) Combinatorial and Additive Number Theory IV, Springer, pp.385-400 [ arXiv ]

23. On the number of gaps and Poissonian pair correlations, (2021) Discrete Mathematics, Vol.344, No.11, 112555 (w/ Christoph Aistleitner, Thomas Lachmann, and Paolo Minelli) [ arXiv ]

24. Turnpike in infinite dimension, Canadian Mathematical Bulletin, Vol.65, No.2, pp.416-430  (w/ Michele Caprio) [ arXiv ]

25. A characterization of (I,J)-regular matrices, (2021) Journal of Mathematical Analysis and Applications, Vol.504, No.1, 125374 (w/ Jeff Connor) [ arXiv ]

26. Convergent subseries of divergent series, (2022) Rendiconti del Circolo Matematico di Palermo Series 2, Vol.71, pp.879-886 (w/ Marek Balcerzak)  [ arXiv ]

27. A Characterization of Cesàro Convergence, (2021) The American Mathematical Monthly, Vol.128, No.6, pp.559-562 [ arXiv ]

28. On small sets of integers, (2022) The Ramanujan Journal, Vol.57, pp.275-289 (w/ Salvatore Tringali) [ arXiv ]  

29. The Baire Category of Subsequences and Permutations which preserve Limit Points, (2020) Results in Mathematics, Vol.75,  Art. 171 (w/ Marek Balcerzak) [ arXiv ]

30. Behavioral Equivalence of Extensive Game Structures, (2020) Games and Economic Behavior, Vol.121, pp.533-547 (w/ Pierpaolo Battigalli and Fabio Maccheroni)  [ arXiv ] 

31. A Tauberian theorem for ideal statistical convergence, (2020) Indagationes Mathematicae, Vol.31, No.1, pp.83-95 (w/ Marek Balcerzak) [ arXiv ]

32. Practical numbers among the binomial coefficients, (2020) Journal of Number Theory, Vol.207, pp.145-155  (w/ Carlo Sanna) [ arXiv ]

33. Characterizations of the Ideal Core,  (2019) Journal of Mathematical Analysis and Applications, Vol.477, No.2, pp.1063-1071 [ arXiv ]

34. On the notions of upper and lower density, (2020) Proceedings of the Edinburgh Mathematical Society, Vol.63, No.1, pp.139-167 (w/ Salvatore Tringali) [ arXiv ]

35. Limit points of subsequences, (2019) Topology and its Applications, Vol.263, pp.221-229 [ arXiv ]

36. The general linear equation on open connected sets, (2020) Acta Mathematica Hungarica, Vol.161, No.1, pp.201-211 (w/ Jens Schwaiger) [ arXiv ]

37. Direction sets: a generalization of ratio sets, (2020) Bulletin of the Australian Mathematical Society, Vol.101, No.3, pp.389-395 (w/ Carlo Sanna) [ arXiv ]

38. Characterizations of Ideal Cluster Points, (2019) Analysis, Vol.39, No.1, pp.19-26 (w/ Fabio Maccheroni) [ arXiv ]

39. On the Relationship between Ideal Cluster Points and Ideal Limit Points,  (2019) Topology and its Applications, Vol.252, pp.178-190 (w/ Marek Balcerzak) [ arXiv ]

40. Invariance of Ideal Limit Points, (2019) Topology and its Applications, Vol.252, pp.169-177 [ arXiv ]

41. Convergence Rates of Subseries , (2019) The American Mathematical Monthly  Vol.126, No.2, pp.163-167 [ arXiv ]

42. Continuous projections onto ideal convergent sequences, (2018) Results in Mathematics, Vol. 73, Art. 114 [ arXiv  ]

43. A note on primes in certain residue classes, (2018) International Journal of Number Theory, Vol.14, No.8, pp.2219-2223 (w/ Carlo Sanna)  [ arXiv ]

44. Duality between Measure and Category of Almost All Subsequences of a Given Sequence , (2019) Periodica Mathematica Hungarica, Vol. 78, No.2, pp. 152--156 (w/ Harry Miller and Lejla Miller-Wan Wieren) [ arXiv ] 

45. Thinnable Ideals and Invariance of Cluster Points,  (2018) Rocky Mountain Journal of Mathematics, Vol.48, No.6, pp.1951-1961 [ arXiv ]

46. Finite Partially Exchangeable Laws are Signed Mixtures of Product Laws, (2018) Sankhya A, Vol.80, No.2, pp.195-214 [ arXiv ]

47. A Characterization of Convex Functions, (2018) The American Mathematical Monthly, Vol.125, No.9, pp.842-844 [ arXiv ]

48. On the greatest common divisor of n and nth Fibonacci number, (2018) Rocky Mountain Journal of Mathematics, Vol.48, No.4, pp.1191-1199 (w/ Carlo Sanna) [ arXiv ]

49. A characterization of Sophie Germain primes, (2018) International Journal of Number Theory, Vol.14, No.3, pp.653-660 [ arXiv ]

50. Sums of Multivariate Polynomials in Finite Subgroups, (2018) International Journal of Number Theory, Vol.14, No.2, pp.301-311 (w/ Andrea Marino) [ arXiv ]

51. On the number of distinct prime factors of a sum of super-powers, (2018) Journal of Number Theory, Vol.186, pp.226-237 (w/ Salvatore Tringali) [ arXiv ] 

52. Commutativity of Integral Quasi-Arithmetic Means on Measure Spaces, (2017) Acta Mathematica Hungarica, Vol.153, No.2, pp.350-355 (w/ Salvatore Tringali, Janusz Matkowski, and Dorota Glazowska) [ arXiv ]      

53. Upper and lower densities have the strong Darboux property, (2017) Journal of Number Theory, Vol.174, pp.445-455 (w/ Salvatore Tringali) [ arXiv ] 

54. On the p-adic valuation of Stirling numbers of the first kind, (2017) Acta Mathematica Hungarica, Vol.151, No.1, pp.217-231 (w/ Carlo Sanna) [ arXiv ]

55. On the commutation of generalized means on probability spaces, (2016) Indagationes Matematicae, Vol.27, No.4, pp.945-953  (w/ Salvatore Tringali and Janusz Matkowski) [ arXiv ]

56. On a system of equations with primes, (2014) Journal de Théorie des Nombres de Bordeaux, Vol.26, No.24, pp.399-413 (w/ Salvatore Tringali) [ arXiv ]