# Costanza Benassi

Hallo,

I am Costanza Benassi and I am a 4th 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, B. Lees, D. Ueltschi,
*Correlation inequalities for classical and quantum XY models*. In: A. Michelangeli, G. Dell’Antonio (eds.), Advances in Quantum Mechanics. Springer INdAM Series, vol 18. Springer, Cham (2017), doi:10.1007/978-3-319-58904-6_2. - C. Benassi, J. Fröhlich, D. Ueltschi,
*Decay of correlations in 2D quantum systems with continuous symmetry*. Ann. Henri Poincaré 18:2831 (2017), doi:10.1007/s00023-017-0571-4.

- C. Benassi, B. Lees, D. Ueltschi,
*Correlation inequalities for the quantum XY model*. J. Stat. Phys. 164: 1157 (2016), doi:10.1007/s10955-016-1580-2.

**TALKS AND POSTERS**

*Classical spin systems and random loop models*. Invited speaker at the weekly Probability Seminar at the University of Bath. (May 2018, University of Bath, UK).*Random loop representation for classical spin systems***.**Talk at the workshop Probabilistic Approaches to Quantum Spin Systems (April 2018, Göteborg, Sweden)*Random loop models: conjectures and results.*Invited speaker at the weekly Probability Workshop at the University of Oxford (October 2017, University of Oxford, UK).*Random loop models: conjectures and results*. Talk at the weekly Statistical Mechanics Seminar at the University of Warwick (October 2017, University of Warwick, UK).*Decay of correlations in 2d quantum systems.*Talk at the workshop Quantissima in the Serenissima II (August 2017, Venice, Italy).*Quantum spin systems and phase transitions.*Invited speaker 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.*Invited speaker at 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), 2016/2017 (Term 1) and 2017/2018 (Term 1). I was the TA for the MA4L2 Statistical Mechanics class (2016/2017, Term 2).