The Trinity Knot is the most appropriate tie knot for a PhD defense.

Research domains: algebraic geometry, with a little bit of representation theory and commutative algebra.

Publications:

On the geometry of some quiver zero loci Fano fourfolds (with an appendix by E. Kalashnikov and F. Tufo). With E. Fatighenti, F. Tufo. Preprint arXiv:2406.04389

On a conjecture on aCM and Ulrich sheaves on degeneracy loci. With V. Benedetti. Preprint arXiv:2403.04339

Even nodal surfaces of K3 type. With M. Bernardara, E. Fatighenti, G. Kapustka, M. Kapustka, L. Manivel, G. Mongardi. Preprint arXiv:2402.08528

Fano fourfolds of K3 type. With M. Bernardara, E. Fatighenti, L. Manivel. Preprint arXiv:2111.13030

On a conjecture on aCM and Ulrich sheaves on degeneracy loci. With V. Benedetti. Math. Nach., 2025, DOI: 10.1002/mana.202400324 (also available on arXiv)

Polyvector fields for Fano 3-folds. With P. Belmans, E. Fatighenti. Math. Z., 304:12, 2023, DOI: 10.1007/s00209-023-03261-2 (also available on arXiv)

Fano 3-folds from homogeneous vector bundles over Grassmannians. With L. De Biase, E. Fatighenti. Rev. Mat. Complut., 35:649-710, 2022, DOI: 10.1007/s13163-021-00401-2 (also available on arXiv)

On the unirationality of moduli spaces of pointed curves. With H. Keneshlou. Math. Z., 299(3-4):1973–1986, 2021, DOI: 10.1007/s00209-021-02741-7 (also available on arXiv)

The geometry of the Coble cubic and orbital degeneracy loci. With V. Benedetti, L. Manivel. Math. Ann., 379:415–440, 2021, DOI: 10.1007/s00208-019-01949-7 (also available on arXiv)

Orbital degeneracy loci II: Gorenstein orbits. With V. Benedetti, S. A. Filippini, L. Manivel. Int. Math. Res. Not. IMRN, 24:9887–9932, 2020, DOI: 10.1093/imrn/rny272 (also available here, or on arXiv)

Orbital degeneracy loci and applications. With V. Benedetti, S. A. Filippini, L. Manivel. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 21:169–206, 2020, DOI: 10.2422/2036-2145.201804_016 (also available on arXiv)

The unirationality of the Hurwitz schemes H10,8 and H13,7. With H. Keneshlou. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 30:31–39, 2019, DOI: 10.4171/RLM/834 (also available on arXiv)

Matrix factorizations and curves in P4. With F.-O. Schreyer. Doc. Math., 23:1895–1924, 2018, DOI: 10.25537/dm.2018v23.1895-1924 (also available on arXiv)

On the Hilbert scheme of degeneracy loci of twisted differential forms. Trans. Amer. Math. Soc., 368:4561–4583, 2016, DOI: 10.1090/tran/6637 (also available on arXiv)

Degeneracy loci of twisted differential forms and linear line complexes. Arch. Math., 105:109–118, 2015, DOI: 10.1007/s00013-015-0768-z (also available on arXiv)

Pfaffian representations of cubic surfaces. Geom. Dedicata, 168:69–86, 2014, DOI: 10.1007/s10711-012-9818-x (also available on arXiv)

On degeneracy loci of morphisms between vector bundles, PhD Thesis, 2013. SISSA Digital Library

Computer algebra:

H. Keneshlou, F. Tanturri, UnirationalPointedCurves. A Macaulay2 supporting file for the paper On the unirationality of moduli spaces of pointed curves

H. Keneshlou, F. Tanturri, UnirationalHurwitzSchemes. A Macaulay2 package which implements the methods of the paper The unirationality of the Hurwitz schemes H10,8 and H13,7 and serves as supporting code for the computational proofs it contains. Documentation available here

F.-O. Schreyer, F. Tanturri, MatFacCurvesP4. A Macaulay2 package which implements the methods of the paper Matrix factorizations and curves in P4 and serves as supporting code for the computational proofs it contains. Documentation available here

M. Hoff, F. Tanturri, ExtensionsAndTorsWithLimitedDegree. A Macaulay2 package for the computation of the homogeneous components of the graded modules Exti(M,N) and Tori(M,N) with a fixed degree limit. Documentation available here 

Last update: 27/02/2025