Research
My main area of interest is Algebraic Geometry. In particular, I am working on connections between Algebraic Geometry, Homological Algebra and Representation Theory. I have worked on moduli spaces of semistable sheaves, birational geometry, derived categories, Bridgeland stability conditions, moduli of quiver representations, exceptional collections and linear algebraic groups.
Articles
 Derived categories and the genus of space curves, joint with Emanuele Macrì. arXiv:1801.02709.
 Bridgeland Stability on Blow Ups and Counterexamples, joint with Cristian Martinez, Appendix by Omprokash Das. arXiv:1708.08567.
 Families of elliptic curves in P^3 and Bridgeland Stability, joint with Patricio Gallardo and César Lozano Huerta. To appear in Michigan Mathematical Journal. arXiv:1609.08184. M2Code.
 Bridgeland Stability Conditions on Fano Threefolds, joint with Marcello Bernardara, Emanuele Macrì, and Xiaolei Zhao. Épijournal Geom. Algébrique 1 (2017), Art. 2, 24 pp.. arXiv:1607.08199.
 Lectures on Bridgeland Stability, joint with Emanuele Macrì. To appear in the Proceedings of the “CIMPACIMATICTP School on Moduli of Curves” (Guanajuato, Mexico, 2016), Springer 2017. arXiv:1607.01262.
 Counterexample to the Generalized BogomolovGieseker Inequality for Threefolds, Int. Math. Res. Not. IMRN 2017, no. 8, 2562–2566. arXiv:1602.05055.
 Stability Conditions on Threefolds  First Wall Crossings. arXiv:1509.04608. The mentioned Sage code can be found at stability_library.sage with documentation.
 Nef Cones of Hilbert Schemes of Points on Surfaces, joint with Barbara Bolognese, Jack Huizenga, Yinbang Lin, Eric Riedl, Matthew Woolf, and Xiaolei Zhao. Algebra Number Theory 10 (2016), no. 4, 907930. arXiv:1509.04722.
 A generalized BogomolovGieseker inequality for the smooth quadric threefold, Bull. Lond. Math. Soc. 46 (2014), no. 5, 915923. arXiv:1309.4265.
 On the Birational Geometry of Schubert Varieties, Bull. Soc. Math. France 143 (2015), no. 3, 489502. arXiv:1208.5507.
Posters
Theses
Notes
These are various notes in more or less polished form. They certainly contain numerous mistakes and inaccuracies. Let me know if you find any mistakes.

