Project 

Research Interests 
 nonselfadjoint differential operator
 Schrödinger and Dirac operators, wave equation
 spectral theory of unbounded linear operators
 theory of C0semigroups
 stochastic processes in mathematical finance

Publications 
 A. Arnal and P. Siegl,
Resolvent estimates for onedimensional Schrödinger operators with complex potentials,
J. Funct. Anal. 284, 9 (2023), 109856, arXiv.

Submitted Papers 
 A. Arnal,
Resolvent estimates for the onedimensional damped wave equation with unbounded damping, arXiv.
 A. Arnal and P. Siegl,
Generalised Airy operators, arXiv.

PhD Thesis 
 A. Arnal Pérez,
Resolvent estimates for nonselfadjoint differential operators in one dimension,
PhD Thesis (Mathematics), Queen's University Belfast, 2023.
