This page lists my publications and will be updated with corrigenda as needed. I would be grateful to readers who inform me of any errors they may find, so that appropriate corrections can be made available.

Preprints

  1. Power monoids and their arithmetic: a survey
    (under review · arXiv:2602.15754)
  2. On the automorphisms of the power semigroups of a numerical semigroup
    with Kerou Wen (under review · available upon request)
  3. The Category of Atomic Monoids: Universal Constructions and Arithmetic Properties
    with Federico Campanini and Laura Cossu (under review · arXiv:2502.06610)
  4. On global isomorphisms and a closure property of semigroups
    with Lingxi Li (under review · arXiv:2510.00772)
  5. The Automorphism Group of the Finitary Power Monoid of the Integers under Addition
    with Kerou Wen (under review · arXiv:2504.12566)

Publications

  1. A stronger Mirsky–Newman theorem
    Amer. Math. Monthly, to appear
    DOI (coming soon) · arXiv (coming soon)
  2. Torsion groups and the Bienvenu–Geroldinger conjecture
    Bull. London Math. Soc., to appear (with Weihao Yan)
    DOI (coming soon) · arXiv:2503.08615
  3. On the Ingham–Jessen Inequality for Measure Spaces
    Results in Math. 80 (2025), Art. No. 219, 13 pp. (with D. Głazowska, Paolo Leonetti & Janusz Matkowski)
    DOI · arXiv:2305.03227
  4. On the arithmetic of power monoids
    J. Algebra 686 (2026), 793–813 (with L. Cossu)
    DOI · arXiv:2503.08615
  5. Semigroups of ideals and isomorphism problems
    Proc. Amer. Math. Soc. 153 (2025), 2323–2339 (with P. A. García-Sánchez)
    DOI · arXiv:2410.15622
  6. On power monoids and their automorphisms
    J. Combinatorial Theory, Ser. A 209 (2025), Art. 105961, 16 pp. (with W. Yan)
    DOI · arXiv:2312.04439
  7. On the finiteness of certain factorization invariants
    Arkiv för Matematik 62 (2024), 21–38 (with L. Cossu)
    DOI · arXiv:2301.09961
  8. A conjecture by Bienvenu and Geroldinger on power monoids
    Proc. Amer. Math. Soc. 153 (2025), 913–919 (with W. Yan)
    DOI · arXiv:2310.17713
  9. On the density of sumsets, II
    Bull. Australian Math. Soc. 109 (2024), 414–419 (with L. Cossu)
    DOI · arXiv:2212.11176
  10. On the isomorphism problem for power semigroups
    In: M. Brešar, A. Geroldinger, B. Olberding, D. Smertnig (eds.),
    Recent Progress in Ring and Factorization Theory,
    Springer Proc. Math. Stat. 477, Springer, 2024, pp. 429–437
    DOI · arXiv:2402.11475
  11. Factorization under Local Finiteness Conditions
    J. Algebra 630 (2023), 128–161 (with L. Cossu)
    DOI · arXiv:2208.05869
  12. A characterisation of atomicity
    Math. Proc. Cambridge Phil. Soc. 175 (2023), 459–465
    DOI · arXiv:2209.05238
  13. Abstract Factorization Theorems with Applications to Idempotent Factorizations
    Israel J. Math. 263 (2024), 349–395 (with L. Cossu)
    DOI · arXiv:2108.12379
  14. An Abstract Factorization Theorem and Some Applications
    J. Algebra 602 (2022), 352–380
    DOI · arXiv:2102.01598
  15. On the density of sumsets
    Monatshefte für Mathematik 198 (2022), 565–580 (with P. Leonetti)
    DOI · arXiv:2001.10413
  16. On Small Sets of Integers
    Ramanujan Journal 57 (2022), 275–289 (with P. Leonetti)
    DOI · arXiv:1905.08075
  17. On strongly primary monoids, with a focus on Puiseux monoids
    J. Algebra 567 (2021), 310–345 (with A. Geroldinger & F. Gotti)
    DOI · arXiv:1910.10270
  18. On half-factoriality of transfer Krull monoids
    Communications in Algebra 49 (2021), 409–420 (with W. Gao, C. Liu, & Q. Zhong)
    DOI · arXiv:1911.04267
  19. On the Arithmetic of Power Monoids and Sumsets in Cyclic Groups
    Pacific J. Math. 312 (2021), 279–308 (with A. A. Antoniou)
    DOI · arXiv:1804.10913
  20. On the notions of upper and lower density
    Proc. Edinburgh Math. Soc. 63 (2020), 139–167 (with P. Leonetti)
    DOI · arXiv:1506.04664
  21. Structural properties of subadditive families with applications to factorization theory
    Israel J. Math. 234 (2019), 1–35
    DOI · arXiv:1706.03525
  22. Generalized Goncarov polynomials (with R. Lorentz and C. H. Yan)
    In: S. Butler, J. Cooper, and G. Hurlbert (eds.),
    Connections in Discrete Mathematics. A Celebration of the Work of Ron Graham,
    Cambridge Univ. Press, 2018, pp. 56–85
    DOI · arXiv:1511.04039
  23. Power monoids: A bridge between factorization theory and arithmetic combinatorics
    J. Algebra 512 (2018), 252–294 (with Y. Fan)
    DOI · arXiv:1701.09152
  24. On the number of distinct prime factors of a sum of superpowers
    J. Number Theory 186 (2018), 226–237 (with P. Leonetti)
    DOI · arXiv:1511.08784
  25. Commutativity of integral quasi-arithmetic means on measure spaces
    Acta Mathematica Hungarica 153 (2017), 350–355 (with D. Głazowska, P. Leonetti & J. Matkowski)
    DOI · arXiv:1703.03938
  26. Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules
    J. Algebra Appl. 16 (2017), Art. 1750234, 42 pp. (with Y. Fan, A. Geroldinger & F. Kainrath)
    DOI · arXiv:1612.03116
  27. Upper and lower densities have the strong Darboux property
    J. Number Theory 174 (2017), 445–455 (with P. Leonetti)
    DOI · arXiv:1510.07473
  28. Multivariate Delta Gončarov and Abel Polynomials
    J. Math. Analysis Appl. 446 (2017), 663–680 (with R. Lorentz & C. H. Yan)
    DOI · arXiv:1608.05836
  29. On the commutation of generalized means on probability spaces
    Indagationes Mathematicae 27 (2016), 945–953 (with P. Leonetti & J. Matkowski)
    DOI · arXiv:1503.01139
  30. Sums of Dilates in Ordered Groups
    Communications in Algebra 44 (2016), 5223–5236 (with A. Plagne)
    DOI · arXiv:1403.0934
  31. Cauchy-Davenport type theorems for semigroups
    Mathematika 62 (2016), 1–12
    DOI · arXiv:1307.8396
  32. The Davenport constant of a box
    Acta Arith. 171 (2015), 197–220 (with A. Plagne)
    DOI · arXiv:1405.4363
  33. Small doubling in ordered semigroups
    Semigroup Forum 90 (2015), 135–148
    DOI · arXiv:1208.3233
  34. On a system of equations with primes
    J. Théor. Nombres Bordeaux 26 (2014), 399–413 (with P. Leonetti)
    DOI · arXiv:1212.0802
  35. A Cauchy-Davenport theorem for semigroups
    Uniform Distribution Theory 9 (2014), 27–42
    Online · arXiv:1210.4203
  36. On the divisibility of $a^n \pm b^n$ by powers of $n$
    Integers 13 (2013), 993–998
    Online · arXiv:1301.0131