Research in Theoretical and Mathematical Physics

Research lines: Random matrix theory and its applications, Exactly solvable models in statistical mechanics and strongly-correlated systems, Quantum computation and Floquet Physics. In the past I was working more Gauge theory and Matrix models.

See my publications at ArXiv or at my Google scholar page. Below are some sample recent publications and a few talks available on-line (by me or by my co-author Leonardo Santilli).

I work now at the 上海数学与交叉学科研究院 (Shanghai Institute for Mathematics and Interdisciplinary Sciences). Also known as SIMIS. I organize there the SIMIS seminar on Quantum computation, quantum simulation and strongly-correlated systems and the SIMIS seminar on Random matrix theory, Integrable systems and Applications. If you are interested in giving a talk and visiting us, just drop me a line at tierz at simis.cn

LATEST PAPERS

More recent papers are on periodically driven condensed matter systems, see https://arxiv.org/abs/2501.05416 (Analytical control of the exchange interaction in periodically driven Mott) and in cavity optomechanics, see https://arxiv.org/abs/2505.05352 (An analytical exploration of the optomechanical attractor diagram and of limit cycles).

Some Talks

A Random matrix view of quantum spin and fermionic chains. Invited talk at the ICBS 2025 conference (International Conference of Basic Sciences), at BIMSA, Beijing. July 2025.

SLIDES OF TALKS