Huy Dang

My research is in number theory and algebraic geometry, focusing on Galois covers of curves in characteristic p, particularly those with wild ramification. Such covers display intricate ramification behaviors that do not arise in characteristic zero, making them crucial for understanding arithmetic geometry in positive characteristic. I study their deformation and liftability to characteristic zero using tools from higher class field theory, non-archimedean geometry, and ramification theory. More recently, I’ve begun exploring connections with p-adic differential equations, which provide new insights into the degeneration of wildly ramified covers.