In passato, la mia attività di ricerca si è svolta prevalentemente nell’ambito della topologia algebrica.

Negli anni 1994-2001 si è in particolare focalizzata su una famiglia di teorie coomologiche generalizzate legate alla teoria di Brown-Peterson, l’analogo del cobordismo per il singolo primo p. Si sono studiate alcune proprietà delle leggi di gruppo formali associate a queste teorie e le proprietà degli spazi classificanti di gruppi finiti che sono dedotte tramite questi funtori.

Nel periodo 2001-2017 ho affrontato problemi relativi a operazioni coomologiche e ad algebre di Koszul. Ho fatto poi incursioni nella teoria dei numeri, e dal 2017 studio la teoria spettrale dei grafi.

Più in basso a destra, anche due recensioni ai volumi storici di Nicola Trudi e Lorenzo Mascheroni.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Elenco delle pubblicazioni:

 

65. Inertia and spectral symmetry for the eccentricity matrices of clique trees (con Xiaohong Li e Jianfeng Wang) in attesa di pubblicazione su Acta Mathematicae Applicatae Sinica, English Series.

64. New extremal results for the distance Laplacian spectral radius of trees (con Yunzhe Chen e Jianfeng Wang) in attesa di pubblicazione sul Rocky Mountains Journal of Mathematics.

63. Spectral determination of trees with large diameter and small spectral radius (con Xing Gao, Xuanshi Jia e Jianfeng Wang), Communications in Combinatorics and Optimization, 2024, 9(4), pp. 607–623.

62. Construction of cospectral graphs, signed graphs and T-gain graphs via partial transpose (con F. Belardo, M. Cavaleri e A. Donno), Journal of Algebraic Combinatorics, 2024, 60(1), pp. 191–224.

61. Seidel Matrices, Dilworth number and an eigenvalue-free interval for cographs (con Lei Li e Jianfeng Wang), Linear Algebra and its Applications, vol. 698 (2024) pp. 56-72.

60. Eigenvalues of Complex Unit Gain Graphs and Gain Regularity, Special Matrices, vol. 12 (2024): 20240005.

59. Infinite families of trees with equal spectral radius (con Francesco Belardo), Examples and Counterexamples, vol. 5 (2024), 100138.

58. Bipartite graphs with all but two eigenvalues equal to 0 and ±1 (con Xiaohong Li e Jianfeng Wang), Discrete Mathematics, vol 347 (2024) 113858.

57. Limit points for the spectral radii of signed graphs (con Francesco Belardo), Discrete Mathematics, vol. 347 (2024) 113745.

56. NEPS of complex unit gain graphs (con Francesco Belardo e Suliman Khan), The Electronic Journal of Linear Algebra, vol. 39 (2023) pp. 621-643.

55. The Eccentricity spread of weak-friendship graphs (con Xuanshi Jia e Xiaohong Li), Discrete Mathematics Letters, vol. 12 (2023) pp. 104-109.

54. On the divisibility of H-shape trees and their spectral determination (con Zhen Chen, Jianfeng Wang e Francesco Belardo), Linear Algebra and Its Applications, vol. 675 (2023) pp. 312-337.

53. Topological indices of the wreath product of graphs (con Yongqin Zhang e Jianfeng Wang), Discrete Mathematics, Algorithms and Applications, vol. 15 no. 1 (2023), 2250056 (18 pp.).

52. Signed bicyclic graphs with minimal index, (con Adriana Ciampella), Communications in Combinatorics and Optimization, vol. 8 no. 1 (2023), pp. 207-241.

51. Aa-spectral radius and measures of graph irregularity (con Yuqing Ji, Jianfeng Wang, e Ning Bian), Linear and Multilinear Algebra, vol. 70 no. 20 (2022), pp. 5247-5267.

50. Ordering signed graphs with large index (con Zoran Stanic), Ars Mathematica Contemporanea, vol. 22 (2022), #4.05, doi:10.26493/1855-3974.2714.9b3

49. On Quipus whose signless Laplacian index does not exceed 4.5 (con Francesco Belardo, Vilmar Trevisan e Jianfeng Wang), Journal of Algebraic Combinatorics, vol 55 (4) (2022), pp. 1199-1223.

48. Spectral determinations and eccentricity matrix of graphs (con Jianfeng Wang, Mei Lu, Lu Lu and Xueyi Huang), Advances in Applied Mathematics, vol. 139 (2022), art. 102358, 25 pp.

47. On eigenspaces of some compound complex unit gain graphs (con Francesco Belardo), Transactions on Combinatorics, vol. 11 (3) (2022), pp. 131-152.

46. Unbalanced signed graphs with extremal spectral radius or index (con Zoran Stanic), Computational and Applied Mathematics, vol. 41 (3) (2022) art. 118.

45. Spectra of quaternion unit gain graphs (con F. Belardo, N. J. Coble, N. Reff e H. Skogman), Linear Algebra and Its Applications, vol. 632 (2022), pp. 15-49.

44. Constructing cospectral signed graphs (con Francesco Belardo, Matteo Cavaleri e Alfredo Donno), Linear and Multilinear Algebra, vol. 69 (14) (2021), 2717-2732.

43. Unbalanced unicyclic and bicyclic graphs with extremal spectral radius (con Francesco Belardo e Adriana Ciampella), Czechoslovak Mathematical Journal, vol. 71 (2021) p. 417-433.

42. Locating eigenvalues of unbalanced unicyclic signed graphs (con Francesco Belardo e Vilmar Trevisan), Applied Mathematics and Computations, vol. 400 (2021), 17 pp.

41. Line Graphs of Complex Unit Gain Graphs with least eigenvalue -2  (con F. Belardo), Electronic Journal of Linear Algebra, vol. 37 (2021), pp. 14-30.

40. Godsil-McKay switching for mixed and gain graphs over the circle group (con F. Belardo, M. Cavaleri e A. Donno), Linear Algebra and Its Applications, vol. 614 (2021), pp. 256-269.

39. Signless Laplacian spectral characterization of roses (con Ali Zeydi Abdian e Ali Reza Ashrafi), Kuwait Journal of Science, vol. 47 (4) (2020) pp. 12-18.

38. Laplacian controllability for graphs obtained by some standard products (con Milica Andelic a Zoran Stanic), Graphs and Combinatorics, vol. 36 (2020), no. 5, 1593-1602.

37. Laplacian Spectral Properties of Signed Circular Caterpillars, Theory and Applications of Graphs, vol. 7 (2020), Issue 2, Article 1.

36. Graphs whose second largest signless Laplacian eigenvalue does not exceed 2+√2 (con JianFeng Wang e Xingyu Lei), Linear Algebra and Its Applications, vol. 603, (2020) 242-264.

35. Balancedness and the least Laplacian eigenvalue of some complex unit gain graphs (con Francesco Belardo e Nathan Reff), Discussiones Mathematicae Graph Theory 40 (2) (2020), 417-433.

34. Connected signed graphs L-cospectral to signed infinity-graphs (con Francesco Belardo), Linear and Multilinear Algebra vol. 67, no. 12 (2019) 2410-2426.

33. Line and Subdivision Graphs determined by T4-Gain Graphs (con Abdullah Alazemi, Milica Andelic et alii), Mathematics, 7, 926 (2019) 12pp.

32. Edge Perturbations on Signed Graphs with Clusters: Adjacency and Laplacian Eigenvalues (con F. Belardo e A. Ciampella), Discrete Applied Mathematics, vol. 269 (2019), pp. 130-138.

31. On a Graph Connecting Hyperbinary Expansions (con Alma D'Aniello), Publications de l'Institut Mathematique (Belgrado), Nouvelle serie, vol. 105(119) (2019), pp. 25-38.

30. On the multiplicity of α as an Aα(Γ)-eigenvalue (con F. Belardo e A. Ciampella), Discrete Mathematics, vol. 342 (2019), pp. 2223-2233.

29. A Lexicographic product for Signed Graphs (con A. Donno e M. Cavaleri), Australasian Journal of Combinatorics, vol. 74 no. 2 (2019), pp. 332-343.

28. On the Existence of Non-golden Signed Graphs, Atti dell'Accademia Peloritana dei Pericolanti - Classe di Scienze Fisiche, Matematiche e Naturali, vol. 96 (2018), no. S2, art. A2.

27. A Note on the Algebra of Operations for Hopf Cohomology at Odd Primes, Ricerche di Matematica, vol. 67 (2018) no. 2, pp. 617-623.

26. Length-Preserving Monomorphisms for Steenrod Algebras at odd primes (con A. Ciampella), apparso sul Bollettino dell'Unione Matematica Italiana, vol 11 (2018) no. 4, pp. 563-571.

25. Signed Bicyclic Graphs minimizing the Least Laplacian Eigenvalue (con Francesco Belardo e Adriana Ciampella), Linear Algebra and Its Applications, vol. 557 (2018), pp. 201-233. 

1. A Family of 2(p-1)-sparse Cohomology Theories and Some Actions on h*(BC_pn), Mathematical Proceedings of the Cambridge Mathematical Society, 115, (1994) 223-228.

2. Morava K-theories and Dihedral Groups, Ricerche di Matematica, vol. XLIV, (1995), 31-40.

3. On the Canonical GL₂(F₂)-module Structure of K(n)*(BZ/2 x BZ/2), in Algebraic Topology: New Trends in Localization and Periodicity, Proceedings del BCAT 1994, Barcelona Conference on Algebraic Topology, (1996) 51-59.

4. Some Remarks on the p-homotopy Type of Σ_p2, Glasgow Mathematical Journal, 38, (1996) 337-342.

5. The Multiplicative Structure of K(n)*(BA₄), Publicacions Matematiques, 41, (1997) 605-612.

6. A Remark on the Distribution of Generators in K(n)*(BG), Ricerche di Matematica, vol. XLVI, (1997) 285-289.

7. A New Cohomological Criterion for the p-nilpotence of Groups, Canadian Mathematical Bulletin, 41, (1998) 20 - 22.

8. The K(n)-Euler Characteristic of Extraspecial p-groups, Journal of Pure and Applied Algebra, 155, (2001) 105-113.

9. Morava K-theories of Groups with Cyclic Maximal Subgroups and Other Related Groups, apparsa su K-theory 24, (2001) 385-395.

10. Higher Euler Characteristics for Almost Extra-special p-groups, in Recent Progress in Homotopy Theory. Contemporary Mathematics 293, (2002) 65-74.

11. The Cohomology of the Universal Steenrod Algebra (con A. Ciampella e L. A. Lomonaco), Manuscripta Matematica 118, (2005) 271-282.

12. An Embedding for the E₂ term of the Adams Spectral Sequence (con L. A. Lomonaco), Ricerche di Matematica LIV vol. 1 (2005) 185-200.

13. An Embedding for the E₂ term of the Adams Spectral Sequence at Odd Primes (con A. Ciampella e L. A. Lomonaco), Acta Mathematica Sinica 22 vol. 6 (2006) 1657-1666.

14. A Priddy-Type Koszulness Criterion for Non-locally Finite Algebras (con A. Ciampella), Colloquium Mathematicum 109 no. 2 (2007) 179-192.

15. Homology and Cohomology Operations in Terms of Differential Operators (con A. Ciampella e L. A. Lomonaco), Bulletin of London Mathematical Society 42 no. 1 (2010) 53-63.

16. A Total Steenrod Operation as Homomorphism of Steenrod Algebra-modules, Ricerche di Matematica. Vol LXI vol. 1 (2012) pp. 1-17.

17. Old and New Proofs of Cramer's Rule, Applied Mathematical Sciences, vol. 8 no. 133 (2014), pp. 6689-6697.

18. The Fractal Structure of the Universal Steenrod Algebra (con A. Ciampella),,Applied Mathematical Sciences, vol. 8 no. 133 (2014), pp. 6681-6687.

19. Chasing Non-diagonal Cycles in a Certain System of Algebras of Operations (con L. A. Lomonaco), Ricerche di Matematica, vol. LXIII, no. 1, Suppl. (2014), pp. 57-68.

20. A representation of the dual of the Steenrod algebra (con L. A. Lomonaco), Ricerche di Matematica, vol. LXIII no. 1, Suppl. (2014), pp. 19-24.

21. An Example in the Singer Category of Algebras with Coproducts at Odd Primes, Vietnam Jounal of Mathematics vol. 44, no. 3 (2016), pp. 463-476.

22. Length-Preserving Monomorphisms for Some Algebras of Operations, Boletín de la Sociedad Matemática Mexicana vol. 23 (2017), pp. 487-500.

23. Un contributo dell'algebra lineare all'elaborazione di classifiche sportive alternative (con F. D'Andrea), Matematica, cultura e società, Rivista dell'Unione Matematica Italiana, Serie I, vol. 2 - Agosto 2017, ISSN 2499-751X, pp. 209-224.

24. Searching for Fractal Structures in the Universal Steenrod Algebra at Odd primes (con A. Ciampella), Mediterranean Journal of Mathematics, vol. 14 (2017) no. 5:188.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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