List of publications

Preprints

1. E. Pasqualetto, T. Schultz, and J. Taipalus, A categorical perspective on extended metric-topological spaces. Preprint (2026), 33 pp. arXiv

2. P. Bonicatto, P. Lahti, and E. Pasqualetto, A topological characterization of indecomposable sets of finite perimeter. Preprint (2026), 45 pp. arXiv

3. E. Pasqualetto, Preduals of metric BV spaces. Preprint (2025), 17 pp. arXiv

4. L. Ambrosio, T. Ikonen, D. Lučić, and E. Pasqualetto, Metric Sobolev spaces II: dual energies and divergence measures. Preprint (2025), 92 pp. arXiv

5. J. Núñez-Zimbrón, E. Pasqualetto and E. Soultanis, Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian. Preprint (2025), 20 pp. arXiv

6. A. Kubin, D. A. La Manna and E. Pasqualetto, A variational approach to the volume-preserving anisotropic mean curvature flow in 2D. Preprint (2025), 43 pp. arXiv

Accepted papers

7. E. Pasqualetto and T. Schultz, Ultralimits of pointed metric measure spaces. To appear in Kyoto J. Math., 65 pp. arXiv

Published papers

8. M. Caković, E. Pasqualetto and D. Lučić,Tensor products of measurable Banach bundles. Ann. Funct. Anal., 17 (2026), no. 36 link

9. E. Pasqualetto and G. E. Sodini, Functions of bounded variation and Lipschitz algebras in metric measure spaces. ESAIM, Control Optim. Calc. Var. (forthcoming article), 2026 link

10. E. Pasqualetto and J. Taipalus, Derivations and Sobolev functions on extended metric-measure spaces. Ann. Fenn. Math., 51 (2026), pp. 59-111 link

11. E. Pasqualetto and T. Rajala, A note on Laplacian bounds, deformation properties and isoperimetric sets in metric measure spaces. J. Lond. Math. Soc., 112 (2025), p. e70357 link

12. C. Brena, F. Nobili, and E. Pasqualetto, Maps of bounded variation from PI spaces to metric spaces. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), Vol. XXVI (2025), pp. 1475-1519 link

13. E. Pasqualetto, Smooth approximations preserving asymptotic Lipschitz bounds. Monatsh. Math., 208 (2025), pp. 485-494 link

14. N. Gigli, D. Lučić, and E. Pasqualetto, Duals and pullbacks of normed modules. Isr. J. Math., 267 (2025), pp. 821-866 link

15. G. Antonelli, E. Pasqualetto, M. Pozzetta, and D. Semola, Sharp isoperimetric comparison on non collapsed spaces with lower Ricci bounds. Ann. Sci. Éc. Norm. Supér., 58 (2025), pp. 1-52 link

16. E. Caputo, N. Gigli, and E. Pasqualetto, Parallel transport on non-collapsed RCD(K,N) spaces. J. Reine Angew. Math., 2025 (2025), pp. 135-204 link

17. S. Di Marino, D. Lučić, and E. Pasqualetto, Representation theorems for normed modules. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 119 (2025), no. 19 link

18. C. Brena, E. Pasqualetto, and A. Pinamonti, Sobolev and BV spaces on RCD spaces via the short-time behaviour of the heat kernel. Commun. Contemp. Math., 27 (2025), pp. 2550002 link

19. D. Lučić and E. Pasqualetto, Yet another proof of the density in energy of Lipschitz functions. manuscripta math., 175 (2024), pp. 421-438 link

20. L. Ambrosio, T. Ikonen, D. Lučić, and E. Pasqualetto, Metric Sobolev spaces I: equivalence of definitions. Milan J. Math., 92 (2024), pp. 255-347 link

21. E. Pasqualetto and T. Rajala, Vector calculus on weighted reflexive Banach spaces. Math. Z., 308 (2024), no. 48 link

22. G. Antonelli, C. Brena, and E. Pasqualetto, The Rank-One Theorem on RCD spaces. Anal. PDE, Vol. 17 (2024), No. 8, pp. 2797-2840 link

23. F. Essebei and E. Pasqualetto, Variational problems concerning length distances in metric spaces. J. Math. Anal. Appl., 538 (2024), no. 1, pp. 128337 link

24. E. Pasqualetto, Projective and injective tensor products of Banach L0-modules. Ann. Funct. Anal., 15 (2024), no. 1 link

25. E. Caputo, M. Lučić, E. Pasqualetto, and I. Vojnović, On the integration of L0-Banach L0-modules and its applications to vector calculus on RCD spaces.  Rev. Mat. Complut., 38 (2025), pp. 149-182 link

26. D. Lučić and E. Pasqualetto, An axiomatic theory of normed modules via Riesz spaces. Q. J. Math., 75 (2024), pp. 1429-1479 link

27. T. Ikonen, D. Lučić, and E. Pasqualetto, Pullback of a quasiconformal map between arbitrary metric measure spaces. Illinois J. Math., 68 (2024), no. 1, pp. 137-165 link

28. G. Antonelli, C. Brena, and E. Pasqualetto, Subgraphs of BV functions on RCD spaces. Ann. Glob. Anal. Geom., 65 (2024), no. 14 link

29. E. Pasqualetto, Limits and colimits in the category of Banach L0-modules. Rend. Semin. Mat. Univ. Padova, 154 (2025), pp. 105-142 link

30. M. Lučić, E. Pasqualetto, and I. Vojnović, On the reflexivity properties of Banach bundles and Banach modules. Banach J. Math. Anal., 18 (2024), no. 7 link

31. G. Antonelli, E. Pasqualetto, M. Pozzetta, and I. Y. Violo, Topological regularity of isoperimetric sets in PI spaces having a deformation property. Proc. R. Soc. Edinb. A: Math., 155 (2025), pp. 611-633 link

32. E. Brué, E. Pasqualetto, and D. Semola, Constancy of the dimension in codimension one and locality of the unit normal on RCD(K,N) spaces. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), Vol. XXIV (2023), no. 3, pp. 1765-1816 link

33. G. Antonelli, E. Pasqualetto, M. Pozzetta, and D. Semola, Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds. Math. Ann., 389 (2024), pp. 1677-1730 link

34. D. Lučić and E. Pasqualetto, The metric-valued Lebesgue differentiation theorem in measure spaces and its applications. Adv. Oper. Theory, 8 (2023) link

35. F. Essebei and E. Pasqualetto, Variational problems concerning sub-Finsler metrics in Carnot groups. ESAIM Control Optim. Calc. Var., 29 (2023), no. 21 link

36. E. Pasqualetto, A short proof of the existence of master test plans. Arch. Math., 120 (2023), pp. 69-76 link

37. D. Lučić and E. Pasqualetto, Gamma-convergence of Cheeger energies with respect to increasing distances. J. Math. Anal. Appl., 515 (2022), no. 1, pp. 126415 link

38. G. Antonelli, E. Pasqualetto, and M. Pozzetta, Isoperimetric sets in spaces with lower bounds on the Ricci curvature. Nonlinear Anal. Theory Methods Appl., 220 (2022), pp. 112839 link

39. N. Gigli and E. Pasqualetto, Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces. Commun. Anal. Geom., 30 (2022), no. 1, pp. 1-51 link

40. T. Moisala and E. Pasqualetto, Direct limits of infinite-dimensional Carnot groups. Math. Scand., 128 (2022), no. 2, 160-200 link

41. F. Nobili, E. Pasqualetto, and T. Schultz, On master test plans for the space of BV functions. Adv. Calc. Var., 16 (2023), pp. 1061-1092 link

42. E. Le Donne, D. Lučić, and E. Pasqualetto, Universal infinitesimal Hilbertianity of sub-Riemannian manifolds. Potential Anal., 59 (2023), pp. 349-374 link

43. D. Lučić, E. Pasqualetto, and T. Rajala, Non-Hilbertian tangents to Hilbertian spaces. Proc. R. Soc. Edinb. A: Math., 153 (2023), pp. 811-832 link

44. P. Bonicatto, G. Del Nin, and E. Pasqualetto, Decomposition of integral metric currents. J. Funct. Anal., 282 (2022), no. 7, pp. 109378 link

45. E. Pasqualetto, Testing the Sobolev property with a single test plan. Stud. Math., 264 (2020), no. 2, pp. 149-179 link

46. E. Brué, E. Pasqualetto, and D. Semola, Rectifiability of the reduced boundary for sets of finite perimeter over RCD(K,N) spaces. J. Eur. Math. Soc., 25 (2023), no. 2, pp. 413-465  link

47. N. Gigli and E. Pasqualetto, Behaviour of the reference measure on RCD spaces under charts. Commun. Anal. Geom., 29 (2021), no. 6, pp. 1391-1414 link

48. T. Ikonen, E. Pasqualetto, and E. Soultanis, Abstract and concrete tangent modules on Lipschitz differentiability spaces. Proc. Am. Math. Soc., 150 (2022), no. 01, pp. 327-343 link

49. E. Brué, E. Pasqualetto, and D. Semola, Rectifiability of RCD(K,N) spaces via delta-splitting maps. Ann. Fenn. Math., 46 (2021), no. 1, pp. 465-482 link

50. D. Lučić, E. Pasqualetto, and T. Rajala, Characterisation of upper gradients on the weighted Euclidean space and applications. Ann. Mat. Pura Appl., 200 (2021), pp. 2473-2513 link

51. N. Gigli and E. Pasqualetto, Differential structure associated to axiomatic Sobolev spaces. Expo. Math., 38 (2020), no. 4, pp. 480-495 link

52. S. Di Marino, D. Lučić, and E. Pasqualetto, A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space. C. R. Math., 358 (2020), no. 7, pp. 817-825 link

53. S. Di Marino, N. Gigli, E. Pasqualetto, and E. Soultanis, Infinitesimal Hilbertianity of locally CAT(k)-spaces. J. Geom. Anal., 31 (2021), pp. 7621-7685 link

54. D. Lučić, E. Pasqualetto, and T. Rajala, Sharp estimate on the inner distance in planar domains. Ark. Mat., 58 (2020), no. 1, pp. 133-159 link

55. N. Gigli, E. Pasqualetto, and E. Soultanis, Differential of metric valued Sobolev maps, J. Funct. Anal., 278 (2020), no. 6, pp. 108403 link

56. P. Bonicatto, E. Pasqualetto, and T. Rajala, Indecomposable sets of finite perimeter in doubling metric measure spaces. Calc. Var. Partial Differ. Equ., 59 (2020), no. 2, pp. 1-39 link

57. C. Debin, N. Gigli, and E. Pasqualetto, Quasi-continuous vector fields on RCD spaces. Potential Anal., 54 (2021), no. 1, pp. 183-211 link

58. N. Gigli and E. Pasqualetto, On the notion of parallel transport on RCD spaces. Rev. Mat. Iberoam., 36 (2019), no. 2, pp. 571-609 link

59. D. Lučić and E. Pasqualetto, Infinitesimal Hilbertianity of weighted Riemannian manifolds. Canad. Math. Bull., 63 (2020), no. 1, pp. 118-140 link

60. D. Lučić and E. Pasqualetto, The Serre-Swan theorem for normed modules. Rend. Circ. Mat. Palermo 2, 68 (2019), no. 2, pp. 385-404 link

Unpublished notes

61. E. Pasqualetto, Direct and inverse limits of normed modules. Preprint (2019), 19 pp. arXiv