Spencer Dembner

I'm a math PhD student at Stanford, working with Ravi Vakil. Before that, I was an undergraduate at UChicago. My interests lie at the intersection of algebraic geometry and model theory; in particular I think a lot about o-minimality, especially with a view toward complex analysis and geometry. You can email me at [lastname] at [university].edu. Here is my CV (updated March 10, 2026). 

Research Papers

• 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