Research

Publications and Preprints

Algebraic Geometry

• Elliptic curves and their principal homogeneous spaces: splitting Severi-Brauer varieties, with E. Mackall. Submitted. arXiv 2401.10493
• Contractibility of the geometric stability manifold of a surface. arXiv 2310.10499
• Stability of kernel sheaves on del Pezzo surfaces.arXiv:2305.16306
• Stability of kernel sheaves associated to rank one torsion-free sheaves, Math. Z. 307, 2 (2024) arXiv 2303.13459

Mathematical Physics

• Effective rationality for local unitary invariants of mixed states of two qubits, with L. Candelori, V. Chernyak, J. Klein, J. Phys. A: Math. Theor. 57 (2024), 145303 arXiv 2305.16178
• Rational local unitary real invariants of mixed states of two qubits, with L. Candelori, V. Chernyak, J. Klein, Adv. in Appl. Math 153 (2024), 102613 arXiv 2304.13555

Thesis

• Wall-Crossing for Tilt Stability