Amal Mattoo

amal.mattoo"at"columbia.edu

I am a fifth year mathematics PhD student at Columbia and am grateful to be advised by Johan de Jong. I am interested in algebraic geometry, particularly derived categories of coherent sheaves and their semi-orthogonal decompositions. Recently I have been enjoying studying examples of phantoms on rational surfaces.

CV

Papers

• Objects of a Phantom on a Rational Surface. In preparation.
• Non-smoothness of Moduli Spaces of Higher Genus Curves on Low Degree Hypersurfaces (with Matthew Hase-Liu).
• A Counterexample to a Question on Grothendieck Groups of Schemes.
• Saturation of Newton polytopes of type A and D cluster variables (with Melissa Sherman-Bennett).
• Virtual Complete Intersections in P¹×P¹ (with Jiyang Gao, Yutong Li, and Michael Loper).
• Finding Euler Characteristics of Hilbert Schemes using Colored Young Diagrams (with Shelby Cox).

Seminars

In Spring 2025, I organized a learning seminar on Semi-orthogonal Decompositions together with Nicolás Vilches.

In Spring 2022, I organized a learning seminar on Infinity Categories.

Teaching

In Spring 2024, I taught Calculus 1. Other semesters I have been the TA for various upper and lower division math classes.