Publications and Preprints

2020-2023

1. Quantitative rational approximation on spheres, by Mahbub Alam and Anish Ghosh, preprint, arXiv:2003.02243.

2. A generic effective Oppenheim theorem for systems of forms, by Prasuna Bandi, Anish Ghosh, and Jiyoung Han, Journal of Number Theory, Volume 218, January 2021, Pages 311-333.

3. Effective density for inhomogeneous quadratic forms I: generic forms and fixed shifts, by Anish Ghosh, Dubi Kelmer and Shucheng Yu,  International Mathematics Research Notices (IMRN), 2022(6):4682–4719, 2022.

4. Small solutions of quadratic forms with congruence conditions, by Prasuna Bandi and Anish Ghosh, https://arxiv.org/abs/2008.08568, submitted.

5. Quantitative Diophantine approximation with congruence conditions, by Mahbub Alam, Anish Ghosh and Shucheng Yu, to appear in Journal de Théorie des Nombres de Bordeaux.

6. Optimal density for values of generic polynomial maps, by Anish Ghosh, Alexander Gorodnik, Amos Nevo, American Journal of Mathematics, Volume 142, Number 6, (2020), pp. 1945-1979.

7. Continued fractions, the Chen–Stein method and extreme value theory, by Anish Ghosh, Maxim Kirsebom and Parthanil Roy, Ergodic Theory and Dynamical Systems, Volume 41, Issue 2 , (2021), pp 461-470.

8. Diophantine inheritance for p-adic measures, by Shreyasi Datta and Anish Ghosh, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, to appear.

9. Counting intrinsic Diophantine approximations in simple algebraic groups, by Anish Ghosh, Alexander Gorodnik and Amos Nevo, arxiv.org/abs/2101.01010.

10. On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form, by Prasuna Bandi and Anish Ghosh, Mathematische Zeitschrift.

11. Multiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponents, by Shreyasi Datta and Anish Ghosh, Bull. Soc. Math. France 148 (4), 2020, p. 733-747.

12. Existence of phase transition for percolation using the Gaussian Free Field, by H. Duminil-Copin, S. Goswami, A. Raoufi, F. Severo, and A. Yadin,  Duke Math. J. Volume 169, Number 18 (2020), 3539-3563. Preprint is available at arxiv.org/abs/1806.07733.

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

14.  On the radius of Gaussian free field excursion clusters.  S. Goswami, P-F. Rodriguez and F. Severo. Ann. Probab. 50 (2022), no. 5, 1675-1724. arxiv.org/abs/2101.02200.

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

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

17. Univalent polynomials and Hubbard trees, by Kirill Lazebnik, Nikolai G. Makarov, and Sabyasachi Mukherjee,  Trans. Amer. Math. Soc. 374 (2021), 4839-4893.

18. Discontinuity of straightening in anti-holomorphic dynamics: I, by Hiroyuki Inou and Sabyasachi Mukherjee, Trans. Amer. Math. Soc. 374 (2021), 6445-6481.

19. On the support of the bifurcation measure of cubic polynomials, by Hiroyuki Inou and  Sabyasachi Mukherjee, Mathematische Annalen, 378:1-12, 2020

20. Invisible tricorns in real slices of rational maps, by Russell Lodge and Sabyasachi Mukherjee,  Discrete and Continuous Dynamical Systems-A, 41:1755-1797, 2021.

21. David extension of circle homeomorphisms, welding, mating, and removability, by Mikhail Lyubich, Sergei Merenkov, Sabyasachi Mukherjee, and Dimitrios Ntalampekos, preprint, arXiv:2010.11256.

22. Schwarz reflections and anti-holomorphic correspondences, by Seung-Yeop Lee, Mikhail Lyubich, Nikolai G. Makarov, and Sabyasachi Mukherjee, Advances in Mathematics, 385:107766, 2021.

23. Bers slices in families of univalent maps, by  Kirill Lazebnik, Nikolai G. Makarov,  and Sabyasachi Mukherjee, Mathematische Zeitschrift, 300:2771-2808, 2022.

24. Circle packings, kissing reflection groups, and critically fixed anti-rational maps, by Russell Lodge, Yusheng Luo, and Sabyasachi Mukherjee, Forum of Mathematics, Sigma, vol. 10, e3, 2022.

25.  Discontinuity of straightening in anti-holomorphic dynamics: II,  by Hiroyuki Inou and  Sabyasachi Mukherjee, International Mathematics Research Notices (IMRN), 2022(9):6948--6990, 2022.

26. Combination theorems in groups, geometry and dynamics,  by Mahan Mj and Sabyasachi Mukherjee,  “In the tradition of Thurston II” (edited by Ohshika and Papadopoulos), 2022.

27. Dynamics of Schwarz reflections: the mating phenomena, by Seung-Yeop Lee, Mikhail Lyubich, Nikolai Makarov, and Sabyasachi Mukherjee, to appear in Annales Scientifiques de l’École Normale Supérieure.

28. On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps, by Russell Lodge, Yusheng Luo, and Sabyasachi Mukherjee, Geometric and Functional Analysis, 32:1428–1485, 2022.

29. The Sullivan dictionary and Bowen-Series maps, by Mahan Mj and Sabyasachi Mukherjee, to appear in the 80th birthday volume of Dennis Sullivan, edited by Basmajian, Koberda, Papadopoulos, Seade and Zeinalian, EMS Surveys in Mathematical Sciences.

30. Reconstruction and interpolation of manifolds. I: The geometric Whitney problem, by Charles Fefferman, Sergei Ivanov, Yaroslav Kurylev, Matti Lassas, and Hariharan Narayanan. Foundations of Computational Mathematics 20 (5), 1035-1133, 2020.

31. Reconstruction of a Riemannian manifold from noisy intrinsic distances, by Charles Fefferman, Sergei Ivanov, Matti Lassas, and Hariharan Narayanan. SIAM Journal on Mathematics of Data Science 2 (3), 770-808, 2020.

32. On the mixing time of coordinate Hit-and-Run, by Hariharan Narayanan and Piyush Srivastava. Combinatorics, Probability and Computing 31 (2), 320-332, 2022.

33. Generating an Equidistributed Net on a Sphere Using Random Rotations by Somnath Chakraborty and Hariharan Narayanan. Discrete & Computational Geometry 67 (1), 231-257, 2022.

34. Universal Lower Bound for Causal Structure Learning with Interventions, by Vibhor Porwal, Piyush Srivastava, and Gaurav Sinha. Extended abstract in proceedings of AISTATS 2022 (oral presentation section). Extended version (May 2022) of AISTATS 2022 paper which appeared in the proceedings under the title “Almost universal lower bound for learning causal DAGs with atomic interventions”.

35. Large deviations for random hives and the spectrum of the sum of two random matrices, by Hariharan Narayanan and Scott Sheffield. arXiv:2111.00421.

36. A Spectral Approach to Polytope Diameter, by Hariharan Narayanan, Rikhav Shah, and Nikhil Srivastava.  Proc. Innovations in Theoretical Computer Science, 2022.

37. On complex roots of the independence polynomial, by Ferenc Bencs, Péter Csikvári, Piyush Srivastava, and Jan Vondrák. To appear in Proc. ACM-SIAM Symposium on Discrete Algorithms (SODA), 2023.

38. Sampling from convex sets with a cold start using multiscale decompositions, by Hariharan Narayanan, Amit Rajaraman,  and Piyush Srivastava. arXiv:2211.04439.

39. Meromorphic projective structures, grafting and the monodromy map, Subhojoy Gupta  and Mahan Mj, Adv. Math. 383 (2021) 107673 arxiv:1904.03804.

40. Commutators, commensurators, and PSL(2, Z) , arXiv:1810.11429 Thomas Koberda and Mahan Mj, Journal of Topology, Volume14, Issue3, September 2021, Pages 861-876 

41. Discontinuous motions of limit sets , Mahan Mj and Ken'ichi Ohshika, arXiv:1704.00269, Algebraic and Geometric Topology 21 (2021), no. 7, 3401-3444. 

42. Surface group representations in SL(2,C) with finite mapping class orbits , (Indranil Biswas, Subhojoy Gupta, Mahan Mj and Junho Peter Wang), Geometry and Topology 26 (2022), no. 2, pgs 679-719 . 

43. First Passage Percolation on Hyperbolic groups, Riddhipratim Basu and Mahan Mj,  arXiv:1909.03427, Advances in Math. 408 (2022), 108599 

44. Stable Random Fields, Patterson-Sullivan measures and Extremal Cocycle Growth, (Jayadev Athreya  and Mahan Mj and Parthanil Roy), Probability Theory and Related Fields, 183 (2022), no. 3-4, pgs 681-714 2022 

45. Cheeger inequalities for graph limits, (Abhishek Khetan and Mahan Mj), to appear in Annales de l'Institut Fourier, arxiv:1807.02225, 2022+

46. One-relator Sasakian groups , (Indranil Biswas and Mahan Mj), arXiv:2101.10835, Colloq. Math. 167 (2022), no. 1, pgs 159-170 

47. Regluing graphs of free groups, by Pritam Ghosh and Mahan Mj, Algebraic and Geometric Topology, v. 22, no. 4, 1969-2006, arXiv:2011.01256

48. Propagating quasiconvexity from fibers, by Mahan Mj and Pranab Sardar,  Israel J. Math. 247 (2022), pgs 923-953, arXiv:2009.11521.

49. Property (T) for fiber products, by Mahan Mj and Arghya Mondal, Proc. Ind. Acad. Sc., Math. Sci. 132 (2022), no. 2, Paper No. 42 

50. Tight trees and model geometries of surface bundles over graphs, by Mahan Mj, arXiv:1901.02170, Journal of the London Math. Society, Volume 102, Issue3, December 2020, Pages 1178-1222 

51. Monodromy representations of meromorphic projective structures, by Subhojoy Gupta and Mahan Mj, Proc. Amer. Math. Soc. 148 (2020), no. 5, 2069-2078. arXiv:1905.10132. 

52. Cannon-Thurston Maps in Kleinian groups and geometric group theory, Surveys in Differential Geometry, Vol. 25, No. 1 (2020), pp. 281-318,

53. Dulmage-Mendelsohn percolation: Geometry of maximally packed dimer models and topologically protected zero modes on site-diluted bipartite lattices, R. Bhola, S. Biswas, Md M. Islam, K. Damle, Phys. Rev. X 12, 021058 (2022).

54. Theory of collective topologically protected Majorana fermion excitations of networks of localized Majorana modes, K. Damle, Phys. Rev. B 105, 235118 (2022).

55. Emergent moments and random singlet physics in a Majorana spin liquid, S. Sanyal, K. Damle, J. T. Chalker, R. Moessner, Phys. Rev. Lett. 127, 127201 (2021).

56. Statistical properties of worm algorithms for two dimensional frustrated Ising models, G. Rakala, K. Damle, D. Dhar, Phys. Rev. E 103, 062101 (2021)

57. Bilayer Coulomb phase of two-dimensional dimer models: Absence of power-law columnar order, N. Desai, S. Pujari, and K. Damle, Phys. Rev. E 103, 042136 (2021)

58. On the exponent governing the correlation decay of the Airy_1 process. Riddhipratim Basu, Ofer Busani and Patrik Ferrari.
    Submitted. arXiv.

59. Environment seen from infinite geodesics in Liouville Quantum Gravity. Riddhipratim Basu,  Shirshendu Ganguly and Manan Bhatia.
    Submitted. arXiv.

60. Small deviation estimates and small ball probabilities for geodesics in last passage percolation. Riddhipratim Basu,  Manan Bhatia.
    Submitted. arXiv.

61. Interlacing and scaling exponents for the geodesic watermelon in last passage percolation. Riddhipratim Basu,  Shirshendu Ganguly, Alan Hammond and Milind Hegde .
    Comm. Math. Phys., 393, pp 1241-1309 (2022). Journal, arXiv.

62. Upper tail large deviations of the cycle counts in Erdős-Rényi graphs in the full localized regime. Riddhipratim Basu,  Anirban Basak.
    Communications on Pure and Applied Mathematics, accepted (2021). arXiv.

63. Temporal Correlation in Last Passage Percolation with Flat Initial Condition via Brownian Comparison. Riddhipratim Basu,  Shirshendu Ganguly and Lingfu Zhang.
    Comm. Math. Phys., 383, pp 1805-1888 (2021). Journal, arXiv.

64. Lower Deviations in $beta$-ensembles and Law of Iterated Logarithm in Last Passage Percolation. Riddhipratim Basu,  Shirshendu Ganguly, Milind Hegde and Manjunath Krishnapur.
    Israel Journal of Mathematics, 242, pp 291-324 (2021). Journal, arXiv.

65. Fractal geometry of Airy_2 processes coupled via the Airy sheet. Riddhipratim Basu,  Shirshendu Ganguly and Alan Hammond.
    Ann. Probab. 49(1), pp. 485-505 (2021). Journal, arXiv.

66. Connecting Eigenvalue Rigidity with Polymer Geometry: Diffusive Transversal Fluctuations under Large Deviation. Riddhipratim Basu,  Shirshendu Ganguly.
    Annales de l’Institut Henri Poincaré, accepted (2022). arXiv.

67. Non-existence of Bi-geodesics in Integrable Models of Last Passage Percolation. Riddhipratim Basu,  Christopher Hoffman and Allan Sly .
    Comm. Math. Phys., 389(1), pp 1-30 (2022). Journal, arXiv.

68. Time Correlation Exponents in Last Passage Percolation. Riddhipratim Basu,  Shirshendu Ganguly.
    In: In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius. Progress in Probability, vol 77 (2021). Book chapter, arXiv.

69. Upper Tail Large Deviations in First Passage Percolation. Riddhipratim Basu,  Shirshendu Ganguly and Allan Sly .
    Communications on Pure and Applied Mathematics, Volume 74, Issue 8, pp 1577-1640 (2021). Journal, arXiv.

70. Upper tail of the spectral radius of sparse Erdős-Rényi graphs. Anirban Basak

71. Localization of eigenvectors of non-Hermitian banded noisy Toeplitz matrices, Anirban Basak, Martin Vogel and Ofer Zeitouni. Submitted.

72. Upper tail large deviations of regular subgraph counts in Erdős-Rényi graphs in the full localized regime, Anirban Basak, Riddhipratim Basu. Communications on Pure and Applied Mathematics, to appear.

73. Sharp transition of the invertibility of the adjacency matrices of sparse random graphs, Anirban Basak, Mark Rudelson. Probability Theory and Related Fields, 180, 233–308, 2021.

74. Outliers of random perturbation of Toeplitz matrices with finite symbols, Anirban Basak, Ofer Zeitouni. Probability Theory and Related Fields, 178(3), 771–826, 2020.

75. Spectrum of random perturbations of Toeplitz matrices with finite symbols, Anirban Basak, Elliot Paquette and Ofer Zeitouni. Transactions of the American Mathematical Society, 373(7), 4999–5023, 2020.

76. Reconstruction and interpolation of manifolds. II: Inverse problems for Riemannian manifolds with partial distance data, by Charles Fefferman, Sergei Ivanov, Yaroslav Kurylev, Matti Lassas, Jinpeng Lu and Hariharan Narayanan.

77. Random discrete concave functions on an equilateral lattice with periodic Hessians, by Hariharan Narayanan, arXiv preprint arXiv:2005.13376,  2020

78. John's walk, by Adam Gustafson and Hariharan Narayanan, Advances in Applied Probability, 2022+.

79.  On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections, by Russell Lodge, Mikhail Lyubich, Sergei Merenkov, and Sabyasachi Mukherjee, Conformal Geometry and Dynamics of the AMS, 27:1-54, 2023.

80. Antiholomorphic correspondences and mating I: realization theorems, by Mikhail Lyubich, Jacob Mazor, and Sabyasachi Mukherjee, preprint, arxiv:2303.02459.

81. Combining rational maps and Kleinian groups via orbit equivalence, by Mahan Mj and Sabyasachi Mukherjee, Proceedings of the London Mathematical Society, 126:1740–1809, 2023.

82. Matings, holomorphic correspondences, and a Bers slice, by Mahan Mj and Sabyasachi Mukherjee, preprint, arxiv:2304.12699.

83. Sums of GUE matrices and concentration of hives from correlation decay of eigengaps, by Hariharan Narayanan, Scott Sheffield and Terence Tao, preprint, arxiv:2306.11514