Gavril Farkas - Selected Publications#

1) G. Farkas, A. Verra, The geometry of the moduli space of odd spin curves, Annals of Mathematics 180 (2014), 927-970.

2) G. Farkas, M. Kemeny, The generic Green-Lazarsfeld Conjecture, Inventiones Mathematicae (2016), 265-301.

3) A. Chiodo, D. Eisenbud, G. Farkas, F.-O. Schreyer, Syzygies of torsion bundles and the geometry of the level l modular variety over M_g, Inventiones Mathematicae 194 (2013), 73-118.

4) G. Farkas, M. Kemeny, The Prym-Green Conjecture for line bundles of high order, Duke Mathematical Journal 166 (2017), 1103-1124.

5) M. Aprodu, G. Farkas, S. Papadima, C. Raicu, J. Weyman, Koszul modules and Green's Conjecture, Inventiones Mathematicae 218 (2019), 657-720.

6) M. Aprodu, G. Farkas, S. Papadima, C. Raicu, J. Weyman, Topological invariants of groups via Koszul modules, Duke Mathematical Journal 171 (2022), 2013-2046.

7) A. Chiodo, G. Farkas, Singularities of the moduli spaces of level curves, Journal of the European Math. Soc. 19 (2017), 603-658.

8) G. Farkas, R. Rimanyi, Quadric rank loci of moduli of curves and K3 surfaces, Annales Sci. Ec. Normale Superieure 53 (2020), 945-992.

9. V. Alexeev, R. Donagi. G. Farkas, E. Izadi, A. Ortega The uniformization of the moduli space of principally polarized abelian 6-folds, J. reine angew. Math. 761 (2020), 163-217.

10. B. Bakker, G. Farkas, Mercat‘s Conjecture for stable rank 2 vector bundles on generic curves, American Journal of Math. 140 (2018), 1277-1295.