## Dori Bejleri

### About me

I am a Benjamin Peirce and NSF postdoctoral fellow at Harvard University. I spent the 2018-2019 academic year as an NSF postdoctoral fellow at MIT. I received my PhD in 2018 from Brown University under the supervision of Dan Abramovich.

Starting in Fall 2023, I will be a tenure-track assistant professor at University of Maryland, College Park.

### Contact Info

Department of MathematicsScience Center 525

Harvard University

One Oxford Street

Cambridge MA 02138 USA

bejleri [at] math [dot] university [dot] edu

### Curriculum Vitae

### Research

I'm mainly interested in algebraic geometry -- specifically moduli spaces and birational geometry with connections to number theory, enumerative geometry, combinatorics and geometric representation theory.

### Papers and preprints

*Wall crossing for moduli of stable log pairs.*(With Kenny Ascher, Giovanni Inchiostro, and Zsolt Patakfalvi).To appear.**Ann. of Math.***Height moduli on cyclotomic stacks and counting elliptic curves over function fields.*(With Jun-Yong Park and Matthew Satriano). Submitted.*The motivic Hilbert zeta function of a planar n-fold thickening of a smooth curve.*Draft.*Smoothability of relative stable maps to stacky curves.*(With Kenny Ascher).To appear.**Épijournal Géom. Algébrique.***Moduli of double covers and degree one del Pezzo surfaces.*(With Kenny Ascher).Volume 7 (2021), no. 2.**Eur. J. Math.***Compact moduli of elliptic K3 surfaces.*(With Kenny Ascher).Volume 384, no. 1-2.**Geom. Topol.***Stable pairs with a twist and gluing morphism for moduli of surfaces.*(With Giovanni Inchiostro).Volume 27 (2021) no. 3.**Selecta Math (N.S.)***Compact moduli of degree one del Pezzo surfaces.*(With Kenny Ascher).To appear.**Math. Annalen.***The Hilbert zeta function is constructible in families of curves.*Draft.*Motivic Hilbert zeta functions of curves are rational.*(With Dhruv Ranganathan & Ravi Vakil).Volume 19, Issue 3 (2020).**J. Inst. Math. Jussieu.***The SYZ conjecture via homological mirror symmetry.***Superschool on derived categories and D-branes**. Springer Proceedings in Mathematics & Statistics.*Moduli of weighted stable elliptic surfaces and invariance of log plurigenera.*(With Kenny Ascher).Volume 122 (2021), no. 5.**Proc. Lond. Math. Soc. (3)***Moduli of fibered surface pairs from twisted stable maps.*(With Kenny Ascher).. Volume 374 (2019).**Math. Annalen***Log canonical models of elliptic surfaces.*(With Kenny Ascher).. Volume 320 (2017), 210-243.**Advances in Mathematics***The tangent space of the punctual Hilbert scheme.*(With David Stapleton).Volume 66 (2017), no. 3, 595 - 610.**Mich. Math. J.***The topology of equivariant Hilbert schemes.*(With Gjergji Zaimi).To appear.**Res. Math. Sci.***Quantum field theory over F1.*(With Matilde Marcolli).Volume 69 (2013), 40 – 59.**Journal of Geometry and Physics.**

### Explicit Moduli Problems in Higher Dimensions. February 26 - March 3, 2023

### Arithmetic, birational geometry, and moduli spaces. June 12 - 16, 2023

### Harvard-MIT Algebraic Geometry Seminar.

### Open Neighborhood Seminar.

### Albanian Journal of Mathematics.

### Teaching

Math 260X: Rationality questions in algebraic geometry. Spring 2022.Math 136: Differential geometry. Fall 2021.

Math 290: Birational geometry of algebraic varieties. Fall 2020.

Math 259X: Moduli spaces in algebraic geometry. Fall 2019.

### Notes

Rationality questions in algebraic geometry.Moduli spaces in algebraic geometry.

Notes on $A_{\mathrm{inf}}$ and perfectoid rings from a learning workshop on integral p-adic hodge theory.

Notes from a talk given at Brown in February of 2016 on motivic Hilbert zeta functions.

These are notes on the geometry of the Hilbert scheme of points on $\mathbb{A}^2$ for the Brown Graduate Student Seminar. They are aimed at first year graduate students.

### Some Math Links

- Research Seminars
- MathOverflow
- Math Stack Exchange
- Upcoming conferences in algebraic geometry
- The Stacks Project

### Personal

A long time ago, I was studying math at Caltech and spending my time in Ricketts House.This is a picture of me and my beautiful wife and our dog Grizzly.

I also like playing music. Here are some very rough performances.