Research

RESEARCH INTERESTS

1) Design Theory: existence and applications (mainly Optical Orthogonal Codes) of 2-designs and related structures (Difference families)

2) Heffter Arrays and Graph Embeddings: lower bounds, constructions, topological and combinatorial properties

3) Group Sequencing and related Conjectures (and their implications on cycle decompositions)

4) Graph Decompositions and Factorizations

5) Infinite Graphs and Designs (mainly existence of suitable factorizations/resolutions of such structures)

6) Trifference/Perfect k-hashing and related extremal combinatorics problems

7) Blocking Sets and finite geometry

Cooperations and co-authors

1) Beijing Jaotong University (Beijing, China): Y. Chang and T. Feng

2) Ningbo University (Ningbo, China): X. Wang

3) Emerson College (Boston, USA): M. Ollis

4) Marlboro College (Marlboro, USA): S. Rovner-Frydman

5) University of Perugia (Perugia, Italy): M. Buratti

6) University of Parma (Parma, Italy): F. Morini

7) Catholic University of Milan, DMF (Brescia, Italy): M.A. Pellegrini and S. Pianta

8) University of Brescia, DII (Brescia, Italy): M. Dalai and S. Della Fiore

9) University of Brescia, DICATAM (Brescia, Italy): A. Pasotti and T. Traetta

My PhD Advisor:

Marco Buratti (University of Perugia)