Spencer Dembner

I'm a math PhD student at Stanford, working with Ravi Vakil. Before that, I was an undergraduate at UChicago. Here is my CV (updated September 3, 2026). I will be on the academic job market in Fall 2026.

I'm interested in many questions near the intersection of (algebraic) geometry and model theory. In particular, I think a lot about o-minimality and its relationship to complex analysis and geometry. If you want to chat, please feel free to email me at [lastname] at [university].edu. 

Research Papers

• Complex curves in o-minimal geometry. arXiv preprint (2026). 

• Algebraic and o-minimal flows beyond the cocompact case. With Hunter Spink. International Mathematics Research Notices (2024). 

• Hyperelliptic curves and newform coefficients. With Vanshika Jain. Journal of Number Theory (2021). 

• A note on congruences for weakly holomorphic modular forms. With Vanshika Jain. Proceedings of the AMS (2021). 

Expository Writings

• Oka's theorem: a short proof 

Writings from undergrad

• Macintyre's theorem on uncountably categorical fields

• Conformal geometry and uniformization

• Group schemes and Cartier duality

• Elliptic curves, the Mordell-Weil theorem and Mazur's torsion theorem

• Random graphs and Keisler's order

• Forcing and the continuum hypothesis