# Costanza Benassi

Hallo,

I am Costanza Benassi and I am a 3rd year PhD Student. Before my PhD, I earned a BSc in Physics and a 2-year MSc in Theoretical Physics at the University of Bologna, Italy. I am currently working under the supervision of Dr D Ueltschi.

My research area is Mathematical Physics, with a particular interest in lattice spin systems.

I usually work in B2.39, or you can email me at:

C (dot) Benassi (at) warwick (dot) ac (dot) uk

**PUBLICATIONS AND PREPRINTS**

- C. Benassi, J. Fröhlich, D. Ueltschi,
*Decay of correlations in 2D quantum systems with continuous symmetry*. Ann. Henri Poincaré 18 (2017) 2831-2847, doi:10.1007/s00023-017-0571-4.

- C. Benassi, B. Lees, D. Ueltschi,
*Correlation inequalities for classical and quantum XY models*. Advances in Quantum Mechanics, A. Michelangeli, G. Dell'Antonio (eds), Springer INdAM Series 18, 15-31, doi:10.1007/978-3-319-58904-6_2, (2017) arXiv:1611.06019 . - C. Benassi, B. Lees, D. Ueltschi,
*Correlation inequalities for the quantum XY model*. J. Stat. Phys. (2016) 164: 1157. doi:10.1007/s10955-016-1580-2.

**TALKS AND POSTERS**

*Quantum spin systems and phase transitions.*Talk at the Mathematics Postgraduate Forum (June 2017, Lancaster University, UK).*Classical spin systems and random loop models.*Talk at the workshop Combinatorial Techniques in Analysis and Probability (June 2017, Lancaster University, UK).*Decay of correlations in 2d systems.*Talk at at the one-day conference Open Statistical Physics 2017 (March 2017, Open University, UK).*Decay of correlations in 2d systems.*Talk for the Analysis, Math-Phys, and Quantum weekly SISSA seminar (January 2017, SISSA, Italy).*Decay of correlations in 2d systems with a focus on the Bose Hubbard model*. Talk at the Laplacians, Random Walks, Bose Gas and Quantum Spin Systems Brainstorming Workshop (January 2017, University of Bristol, UK).

*Correlation inequalities for the quantum XY model.*Invited speaker at the workshop Contemporary Trends in the Mathematics of Quantum Mechanics (July 2016, INdAM, Italy).

*Correlation inequalities for the quantum XY**model*. Poster at the conference Mathematical Many Body Theory and its Applications (June 2016, BCAM, Bilbao, Spain).

*Correlation inequalities for the quantum XY model*. Talk at at the one-day conference Open Statistical Physics 2016 (April 2016, Open University, UK).*Decay of correlations in 2d quantum**systems*. Talk*w*orkshop Mathematical Challanges in Quantum Mechanics (February 2016, Bressanone, Italy).

**TEACHING ACTIVITY**

I have been supervising a small group of 1st year students in 2014/2015 (Term 1), 2015/2016 (Terms 1 and 2) and 2016/2017 (Term 1). I am currently the TA for the MA4L2 Statistical Mechanics class (2016/2017, Term 2).