Research

RESEARCH INTERESTS

1) Additive rearrangements and sequenceability in finite groups

2) Additive and extremal combinatorics, especially anticoncentration, zero-sum problems, and distinct sums

3) Algebraic and tensor methods in combinatorics, including slice rank and partition rank

4) Coding theory and perfect hashing

5) Graph embeddings and decompositions

EARLIER RESEARCH

Finite geometry and blocking sets; combinatorial designs and difference families

A personal map of combinatorics and my research interests.

Colors indicate proximity to my current research, from core areas in red to broader neighboring fields in green. 

Cooperations and co-authors

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

2) Beijing Jiaotong University (Beijing, China): Y. Chang, T. Feng and H. Liu

3) Princeton University (Princeton, USA): E. R. Engel

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

5) Emerson College (Boston, USA): M. A. Ollis

6) University of Palermo (Palermo, Italy): M. Pavone

7) Universitat Politècnica de Catalunya (Barcelona, Spain): L. Vena

8) Universitas Mercatorum (Rome, Italy): M. Fontana

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

10) University of Modena and Reggio Emilia (Modena, Italy): L. Mella

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

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

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

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