**Publications:**

- L. Lombardi. Derived equivalence and fibrations over curves and surfaces. To appear in
*Kyoto Journal of Mathematics*(2020)

- L. F. Di Cerbo and L. Lombardi. Moving Seshadri constants, and coverings of varieties of maximal Albanese dimension. To appear in
*Asian Journal of Mathematics*(2020)

- L. Lombardi, M. Popa and Ch. Schnell. Pushforwards of pluricanonical bundles under morphisms to abelian varieties.
*Journal of the European Mathematical Society***22**, no. 8 (2020), p. 2511-2536

- K. Honigs, L. Lombardi and S. Tirabassi. Derived equivalence of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic.
*Mathematische Zeitschrift***295**, no. 1-2 (2020), p. 727-749

- L. Lombardi and M. Aprodu. On the vanishing of weight one Koszul cohomology of abelian varieties.
*Bulletin of the London Mathematical Society*, vol.**48**, no.2 (2016), p. 280-290

- L. Lombardi and W. Niu. Theta-regularity of curves and Brill-Noether loci.
*Mathematical Research Letters*, vol.**23**, no.6 (2016), p. 1761-1787

- L. Lombardi and S. Tirabassi. Deformations of minimal cohomology classes on abelian varieties.
*Communications in Contemporary Mathematics*, vol.**18**, no. 4 (2015), 1550066, 23 pp.

- L. Lombardi and S. Tirabassi. GV-subschemes and their embeddings in principally polarized abelian varieties.
*Mathematische Nachrichten,*vol.**288**, no. 11-12 (2015), p. 1405-1412

- L. Lombardi and M. Popa. Derived equivalence and non-vanishing loci II.
*London Math. Soc. Lecture Note Series*, vol. 417, Recent Advances in Algebraic Geometry: a volume in honor of Rob Lazarsfeld’s 60th birthday, Cambridge University Press (2015), p. 291-306

- L. Lombardi. Derived invariants of irregular varieties and Hochschild homology.
*Algebra and Number Theory*, vol.**8**, no. 3 (2014), p. 513-542

- L. Lombardi. Inequalities for the Hodge numbers of irregular varieties.
*International Mathematics Research Notices*2013, no. 1, p. 63-83

- L. Lombardi and F. Malaspina. The equations of singular loci of ample divisors on (subvarieties of) abelian varieties.
*Le Matematiche*, vol. LXIII, no. I (2008), p. 155-166

**Preprints:**

- L. F. Di Cerbo and L. Lombardi. L2 Betti numbers and convergence of normalized Hodge numbers via the weak generic Nakano vanishing theorem. (2019)

**Thesis:**

- L. Lombardi. Derived equivalence of irregular varieties and constraints on Hodge numbers. Ph.D. Thesis, University of Illinois at Chicago (2013)