Mitchell Faulk
Postdoctoral Scholar
Mitchell Faulk is a Postdoctoral Scholar [AY ’19-22] in the Mathematics Department. In his research, he explores ideas related to canonical metrics in Kähler geometry.
Mitchell received his BS in Mathematics from the University of Notre Dame in 2014 and his PhD in Mathematics from Columbia University in 2019.
Workshop 2021
I am organizing a workshop on complex geometry to take place during the dates Dec. 11-12 2021. A link to the webpage for the workshop can be found here.
Teaching
Fall 2021
MATH 2420 (Methods of Ordinary Differential Equations)
MATH 2610 (Ordinary Differential Equations)
Summer 2021
MATH 2300 (Multivariable Calculus)
Spring 2021
MATH 2300 (Multivariable Calculus)
MATH 2610 (Ordinary Differential Equations)
Fall 2020
MATH 2300 (Multivariable Calculus)
Summer 2020
MATH 1200 (Single-Variable Calculus I)
Spring 2020
MATH 2610 (Differential Equations)
Fall 2019
MATH 2300 (Multivariable Calculus)
Papers
- (with M. Liu) Embedding Deligne-Mumford stacks into GIT quotient stacks of linear representations [pdf]
- Some canonical metrics on Kähler orbifolds (PhD Thesis) [pdf]
- Asymptotically conical Calabi-Yau orbifolds, I [pdf]
- On Yau’s theorem for effective orbifolds [pdf]
- (with M. Farber, C.R. Johnson, and E. Marzion) Exact results for perturbation to total positivity and to total nonsingularity [pdf]
- (with M. Farber, C.R. Johnson, and E. Marzion) Equal entries in totally positive matrices [pdf]