## Devlin Mallory

I'm a graduate student in the math department at the University of Michigan, studying algebraic geometry and commutative algebra,

particularly the application of arc schemes to the study of birational geometry and singularities. More recently, I've been thinking about positivity properties of tangent bundles of Fano manifolds in relation to differential properties of their section rings. My adviser is Mircea Mustaţă.

You can find my CV here.

Next year, I will be a postdoc at the University of Utah.

### Papers

Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity.
To appear in *Algebra & Number Theory*.
arXiv:2002.11010
Minimal log discrepancies of determinantal varieties via jet schemes.
*Journal of Pure and Applied Algebra* 225.2, 106497.
arXiv:1905.05379
Triviality of arc closures and the local isomorphism problem,
*Journal of Algebra*
544 (2020), 47–61.
arXiv:1811.12577
### Expository writing

Motivic integration (Summer 2019; under construction!)
Hilbert schemes of points (Summer 2018)
Algebraic surfaces (Spring 2017)
### Teaching

### Summer 2021 minicourses

Each summer, the math department has a series of minicourses taught by graduate students. I'm organizing the 2021 summer minicourses; for more information, see the webpage.

I also organized the
2020,
2019,
and
2018
minicourses.

### Singularities reading group

Over the 2018–2019 academic year, I organized a seminar on singularities in algebraic geometry and commutative algebra. Notes from the Fall semester can be found here, and from the Winter semester
here; any mistakes are my own.