Publications

Geometry of spherical spin glasses. ICM contribution, 2026. [arXiv] 

Dynamics for spherical spin glasses: Gibbs distributed initial conditions with Amir Dembo. To appear in Probab. Math. Phys. [arXiv]

Disordered Gibbs measures and Gaussian conditioning with Amir Dembo. To appear in Probab. Theory Relat. Fields. [arXiv]

On Smale’s 17th problem over the reals with Andrea Montanari. [arXiv]

Solving systems of Random Equations via First and Second-Order Optimization Algorithms with Andrea Montanari. [arXiv]

Concentration for the zero set of large random polynomial systems. [arXiv]

On-site potential creates complexity in systems with disordered coupling with Igor Gershenzon, Bertrand Lacroix-A-Chez-Toine, Oren Raz and Ofer Zeitouni. Physical Review Letters, 2023. [arXiv]

Optimization of random high-dimensional functions: Structure and algorithms with Antonio Auffinger and Andrea Montanari. Contributed chapter to the edited volume ”Spin Glass Theory & Far Beyond - Replica Symmetry Breaking after 40 Years”, 2023. [arXiv]

Convergence of the free energy for spherical spin glasses. J. Stat. Phys., 2022. [arXiv]

TAP approach for multi-species spherical spin glasses II: the free energy of the pure models. Annals of Probability, 2023. [arXiv]

TAP approach for multi-species spherical spin glasses I: general theory. Electron. J. Probab., 2025. [arXiv]

On the second moment method and RS phase of multi-species spherical spin glasses. Electron. J. Probab., 2023. [arXiv]

Concentration of the complexity of spherical pure p-spin models at arbitrary energies with Ofer Zeitouni. J. Math. Phys., 2021. [arXiv]

The free energy of spherical pure p-spin models -- computation from the TAP approach.  Probab. Theory Relat. Fields, 2023. [arXiv]

Dynamics for spherical spin glasses: disorder dependent initial conditions with Amir Dembo. J. Stat. Phys., 2020. [arXiv]

The generalized TAP free energy II with Wei-Kuo Chen and Dmitry Panchenko. Comm. Math. Phys., 2021. [arXiv]

The generalized TAP free energy with Wei-Kuo Chen and Dmitry Panchenko. CPAM, 2023. [arXiv]

Following the ground-states of full-RSB spherical spin glasses. CPAM, 2021. [arXiv]

Free energy landscapes in spherical spin glasses. Duke Math. J., 2024. [arXiv]

Geometry and temperature chaos in mixed spherical spin glasses at low temperature – the perturbative regime with Gerard Ben Arous and Ofer Zeitouni. CPAM, 2020. [arXiv]

The geometry of the Gibbs measure of pure spherical spin glasses. Inventiones mathematicae, 2017. [arXiv]

The extremal process of critical points of the pure p-spin spherical spin glass model with Ofer Zeitouni. Probab. Theory Relat. Fields, 2017. [arXiv]

The complexity of spherical p-spin models – a second moment approach. Annals of Probability, 2017. [arXiv] 

Freezing and decorated Poisson point processes with Ofer Zeitouni. Comm. Math. Phys., 2015. [arXiv]

Random geometric complexes in the thermodynamic regime with Yogeshwaran Dhandapani and Robert Adler. Probab. Theory Relat. Fields, 2017.  [arXiv] 

A lower bound for the mixing time of the random-to-random insertions shuffle. Electron. J. Probab., 2013. [arXiv]

Rotation and scale space random fields and the Gaussian kinematic formula with Robert Adler and Jonathan Taylor. Ann. Stat., 2012. [arXiv]

Persistent homology for random fields and complexes with Robert Adler, Omer Bobrowski, Matthew Borman and Shmuel Weinberger. A festschrift for Lawrence D. Brown, IMS Collections 6, 2010. [arXiv]