# Matt Stevenson

**Email**: stevmatt (at) umich (dot) edu

**Office**: East Hall 1860

I am a fifth-year Ph.D. candidate in mathematics at the

University of Michigan, interested in algebraic geometry and non-Archimedean geometry. My advisor is

Mattias Jonsson.

### Teaching

In the fall of 2018, I am the GSI for

section 37 of Math 115.
In past semesters, I was a GSI for Math 110 (Fall 2016), Math 115 (Fall 2014, 2015), Math 116 (Winter 2015, 2016), Math 215 (Spring 2018), and a grader for Math 602 (Fall 2017). In addition, I was a TA for

MMSS "Introduction to Cryptography" during the summers of 2015-2018, an IBL course for high-school students.

### Research

- "Essential skeletons of pairs and the geometric P=W conjecture,'' with Mirko Mauri & Enrica Mazzon.
*Submitted.* arXiv:1810.11837.
- "A non-Archimedean Ohsawa-Takegoshi extension theorem.''
*Accepted by Math. Z.* arXiv:1701.04839.
- "Conformally Covariant Operators and Conformal Invariants on Weighted Graphs", with Dmitry Jakobson, Thomas Ng, & Mashbat Suzuki.
*Geometriae Dedicata* 174 (2015), 339-357. [pdf]

### Lecture Notes

- Math 710, Topics in Modern Analysis II: L2 Methods, Winter 2018, taught by Mattias Jonsson (see course website). [pdf]
- Math 731, Topics in Algebraic Geometry I: Abelian Varieties, Fall 2017, taught by Bhargav Bhatt (see course website). [pdf]
- Math 679, Perfectoid Spaces, Winter 2017, taught by Bhargav Bhatt (see course website). [pdf]
- Seminar on Adic Spaces, Winter 2017, organized by Bhargav Bhatt. [pdf]; these are rough live-texed notes, see also the notes of Rankeya Datta & Takumi Murayama.

### Notes

- "Uniformization of Drinfeld Modular Curves," from a talk in the seminar on Drinfeld modules, October 2017. [pdf]
- "Abhyankar and Quasi-Monomial Valuations," October 2017. [pdf]
- "Weil Restriction for Schemes and Beyond " (with Lena Ji, Shizhang Li, Patrick McFaddin, & Drew Moore, with guidance from Brian Conrad), August 2017. [pdf]
- "On the de Rham Cohomology of Algebraic Varieties," April 2015. [pdf]
- "Hilbert Polynomials," March 2015. [pdf]
- "Weyl's Law," October 2014. [pdf]
- "The Heat Kernel for Forms ," April 2014. [pdf]
- "Weyl's Law on Hyperbolic Riemann Surfaces," April 2014. [pdf]
- "The Algebraic Torus Theorem," April 2014. [pdf].
- "Small Categories Without Loops & Complexes of Groups," December 2013. [pdf].