Department of Mathematics College of Science University of Utah 155 South 1400 East Salt Lake City, UT 84112

Office: LCB 204 Phone: (801) 581-7121 Chair Office: JWB 237 Phone: (801) 581-7870 defernex@math.utah.edu

My research is in algebraic geometry. I study singularities using methods from birational geometry, non-archimedean geometry, and differential geometry. Specific tools include arc spaces and multiplier ideals. I have also worked on questions of rationality of algebraic varities, geometry of Fano manifolds, and Cremona groups.

• Curriculum vitae: short (html) and long (pdf)
• List of publications
• Videos of lectures

Research to which I have contributed has been featured in the following articles:

• B. Totaro, The ACC conjecture for log canonical thresholds [after de Fernex, Ein, Mustata, Kollár], Séminaire Bourbaki, Juin 2010, 62éme année, 2009-2010, no. 1025
• J. Kollár, The rigidity theorem of Fano–Segre–Iskovskikh–Manin–Pukhlikov–Corti–Cheltsov–de Fernex–Ein–Mustata–Zhuang, in Birational Geometry of Hypersurfaces, Gargnano del Garda, Italy, 2018, Lecture Notes of the Unione Matematica Italiana, Vol 26, Springer, 2019
• M. Lejeune-Jalabert, The algebraic answer to the Nash problem for normal surfaces according to de Fernex and Docampo, in Arc Schemes and Singularities, World Scientific Publishing, 2019
• M. Mauri, The dual complex of singularities after de Fernex, Kollár and Xu , in Arc Schemes and Singularities, World Scientific Publishing, 2019

• Programs organized
• Editorial
• RTG grant
• FRG grant