Research

18. On a Discrete Approach to Lower Bounds in Discrepancy Theory

        L. Brandolini, B. Gariboldi, G. Gigante, A. Monguzzi

        J Fourier Anal Appl 31, 19 (2025) 

17. Irregularities of distribution on two point homogeneous spaces

        L. Brandolini, B. Gariboldi, G. Gigante,

        In: Hernández, E., Peloso, M.M., Ricci, F., Soria, F., Tabacco, A. The Mathematical Heritage of Guido Weiss.  

        Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. 

16. On the speed of convergence in the ergodic theorem for shift operators

        N. Chalmoukis, L. Colzani, B. Gariboldi, A. Monguzzi,       

       Canadian Journal of Mathematics (2024) 

15. Single radius spherical cap discrepancy on compact two-point homogeneous spaces 

       L. Brandolini, B. Gariboldi, G. Gigante, A. Monguzzi

       Math. Z.  308, 52  (2024) 

14. Summability and speed of convergence in an ergodic theorem

       L. Colzani, B. Gariboldi, A. Monguzzi

      Journal of Mathematical Analysis and Applications  536  (2024) 

12. Maryna Viazovska e l’impacchettamento di sfere

        B. Gariboldi

        emmeciquadro

11. Euler-MacLaurin summation formula on polyhedra and expansions in multivariate Bernoulli   polynomials

     L. Brandolini, L. Colzani, B. Gariboldi, G. Gigante, A. Monguzzi

     J. Fourier Anal. Appl. 29, 33 (2023) 

9. Almost positive kernels on compact Riemannian manifold

     B. Gariboldi, G. Gigante

     Math. Z.  302 (2022), 783-801

8. Asymptotically optimal cubature formulas on manifolds for prefixed weights

     M. Ehler, U. Etayo, B. Gariboldi, G. Gigante, T. Peter, 

     Journal of Approximation Theory  (2021)

7. Optimal asymptotic bounds for designs on manifolds

     B. Gariboldi, G. Gigante

      Analysis and PDE 14(6) (2021), 1701-1724

6. On a sharp lemma of Cassels and Montgomery on manifolds

     L. Brandolini, B. Gariboldi, G. Gigante, 

     Math. Ann. 379 (2021), 1807–1834

5. Variance of lattice points counting in thin annuli

     L. Colzani, B. Gariboldi, G. Gigante,

     J. Geom. Anal. 31 (2021), 8903-8924.

4. Discrepancy for convex set with zero curvature at one point

     B. Gariboldi, 

     Mathematika 66(2) (2020), 458-474

3. Discrepancy for convex bodies with isolated flat points

     L. Brandolini, L. Colzani, B. Gariboldi, G. Gigante, G. Travaglini, 

     Rev. Mat. Iberoamericana 36(6) (2020), 1597-1626

2. Lp norms of the lattice point discrepancy

     L. Colzani, B. Gariboldi, G. Gigante

     J. Fourier Anal. Appl. 25 (2019), 2150–2195

1. Mixed Lp(L2) norms of the lattice point discrepancy

     L. Colzani, B. Gariboldi, G. Gigante

     Trans. Amer. Math. Soc. 371 (2019), 7669-7706

1. Discrepancy and Hausdorff dimension for a square in the plane

     B. Gariboldi

2. Approximating projections with quasi interpolant polynomials

     G. Alberti, E. De Vito, B. Gariboldi, G. Gigante

Norms of the lattice points discrepancy

supervisors: Leonardo Colzani, Giancarlo Travaglini 

Università degli studi di Milano-Bicocca, 2017. 

2024: Harmonic Analysis and point distributions

GNAMPA-INDAM Project

team: Bianca Gariboldi, Luca Brandolini, Leonardo Colzani, Giacomo Gigante, Alessandro Monguzzi

2023: TIGRECO - TIme-varying signals on Graphs: REal and COmplex methods.

Prin 2022 Miur

PI: Martina Bulai 

2020: Discrepancy, quadrature formula and irregularities of distribution

GNAMPA-INDAM Project

team: Giacomo Gigante, Luca Brandolini, Giancarlo Travaglini, Leonardo Colzani, Bianca Gariboldi 

2019: Uniform distribution of points on manifolds

GNAMPA-INDAM Project

team: Giacomo Gigante, Luca Brandolini, Giancarlo Travaglini, Leonardo Colzani, Bianca Gariboldi 

2014: Varietà reali e complesse: geometria, topologia e analisi armonica.

Prin 2010-2011 Miur

PI: Fulvio Ricci