### Publications

1. H. Duminil-Copin, S. Goswami, P-F. Rodriguez and F. Severo. Equality of critical parameters for percolation of Gaussian free field level-sets. *To appear in Duke Math. J.* Preprint is available at arxiv.org/abs/2002.07735.

2. S. Goswami, P-F. Rodriguez and F. Severo. On the radius of Gaussian free field excursion clusters. *To appear in Ann. Probab.* Preprint is available at arxiv.org/abs/2101.02200.

3. S. Chatterjee and S. Goswami. New Risk Bounds for 2D Total Variation Denoising. *IEEE Trans. Inf. Theory* 67 (2021), no. 6, 4060-4091, doi: 10.1109/TIT.2021.3059657. Preprint is available at arxiv.org/abs/1902.01215.

4. S. Chatterjee and S. Goswami. Adaptive Estimation of Multivariate Piecewise Polynomials and Bounded Variation Functions by Optimal Decision Trees. *Ann. Stat* 49 (2021), no. 5, 2531-2551. Preprint is available at arxiv.org/abs/1911.11562.

5. H. Duminil-Copin, S. Goswami, A. Raoufi, F. Severo, and A. Yadin. Existence of phase transition for percolation using the Gaussian Free Field. *Duke Math. J.* 169 (2020), no. 18, 3539-3563. Preprint is available at arxiv.org/abs/1806.07733.

6. H. Duminil-Copin, S. Goswami and A. Raoufi. Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature. *Commun. Math. Phys.* 374 (2020), no. 2, 891-921. Preprint is available at arxiv.org/abs/1808.00439.

7. M. Biskup, J. Ding and S. Goswami. Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field. *Commun. Math. Phys.* 373 (2020), no. 1, 45-106. Preprint is available at arxiv.org/abs/1611.03901.

8. J. Ding and S. Goswami. Upper bounds on Liouville first passage percolation
and Watabiki's prediction. *Commun. Pure Appl. Math.* 72 (2019), no. 11, 2331-2384. Preprint is available at arxiv.org/abs/1610.09998.

9. J. Ding and S. Goswami. First passage percolation on the exponential of two-dimensional branching random walks. * Electron. Commun. Probab.* 22 (2017), no. 69. Preprint is available at arxiv.org/abs/1511.06932.

10. J. Ding and S. Goswami. Percolation of averages in the stochastic mean field model: the near-supercritical regime. *Electron. J. Probab.* 20 (2015), no. 124. Preprint is available at arxiv.org/abs/1501.03579.

### Preprints

1. Z. Fan and S. Goswami. Roughness of geodesics in Liouville quantum gravity. *Preprint*, available at arxiv.org/abs/2205.00676.

2. S. Chatterjee and S. Goswami. Spatially Adaptive Online Prediction of Piecewise Regular Functions. * Preprint*, available at available at arxiv.org/abs/2203.16587.

3. J. Ding and S. Goswami. Liouville first passage percolation: the weight exponent is strictly less than 1 at high temperature. * Preprint*, available at arxiv.org/abs/1605.08392. This article gives a different proof for a weaker bound on the exponent compared to arxiv:1610.09998.

4. S. Goswami. Finite size scaling of random XORSAT. * Preprint*, available at arxiv.org/abs/1610.07431.