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1. Constructing Certain Special Analytic Galois Extensions
11F80;
J. Number theory (2020) Vol. 212, pp. 105-112 (journal version).
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2. Euler Characteristics and their Congruences in the Positive Rank setting
11R23; joint with Ramdorai Sujatha,
Canadian Math. Bull. (2021) Vol. 64, no. 1, pp. 228-245 (journal version).
3. On Picard Groups of Perfectoid Covers of Toric varieties
14G45; joint with Gabriel Dorfsman-Hopkins and Peter Wear,
European J. of Mathematics (2023) Vol. 9, issue 1, article 16. (journal version).
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4. Euler Characteristics and their Congruences for Multi-signed Selmer groups
11R23; joint with Ramdorai Sujatha,
Canadian J. of Mathematics (2023) Vol. 75(1), pp. 298-321.(journal version).
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5. A Refined Lifting Theorem for Supersingular Galois Representations
11F80; J. Number theory (2021) Vol. 229, pp. 282-313 (journal version).
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6. Constructing Galois Representations Ramified at One Prime
11F80; J. Number theory (2021) Vol. 222, pp. 168-180 (journal version).
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7. Deformations of Certain Reducible Galois Representations III
11F80; Int. J. Number theory (2021) Vol. 17, Issue 06 pp. 1429-1485 (journal version).
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8. Anticyclotomic μ-invariants of residually reducible Galois Representations
11R23; joint with Debanjana Kundu,
J. Number theory (2022) Vol. 234, pp. 476-498 (journal version).
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9. Iwasawa Invariants for Elliptic Curves over Zp-extensions and Kida's formula
11R23; joint with Debanjana Kundu.
Forum Math. 34 (2022), no. 4, 945–967 (journal version, Link to auxiliary code).
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10. Deformations of Reducible Galois Representations to Hida Families
11F80; Int. J. Number theory (2022) Vol. 18, No. 01, pp. 89-112 (journal version).
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11. On the μ-invariants of residually reducible Galois representations
11F80, 11R23; preprint (April 2021), joint with Ramdorai Sujatha.
accepted for publication in the American J. of Mathematics
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12. Constructing Galois Representations with large Iwasawa λ-invariant
11F80, 11R23; accepted for publication in Annales Math. Quebec (published online)
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13. Statistics for Iwasawa Invariants of Elliptic Curves
11R23; joint with Debanjana Kundu,
Trans. American Math. Soc. (2021) Vol. 374, no.11, pp. 7945-7965 (journal version).
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14. Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves
11R23; preprint (May 2021), joint with Jeffrey Hatley and Debanjana Kundu.
[submitted to Math. Z. in 2021]
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15. Statistics for Iwasawa Invariants of Elliptic Curves, II
11R23; preprint (June 2021), joint with Debanjana Kundu.
[submitted to IJNT in 2022]
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16. Rank Jumps and Growth of Shafarevich-Tate groups of Elliptic curves in Z/pZ-extensions; 11G05, 11R23; joint with Lea Beneish and Debanjana Kundu.
accepted for publication in J. Australian Math. Soc. (published online)
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17. Arithmetic Statistics for Galois Deformation Rings
11G05, 11F80; preprint (Aug 2021), joint with Tom Weston.
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18. Arithmetic Statistics and Diophantine Stability for Elliptic curves
11G05, 11R23; The Ramanujan Journal (2023), 62, pp. 215–239 (journal version)
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19. Asymptotic Growth for Mordell-Weil Ranks of Elliptic curves in Noncommutative Towers
11G05, 11R23; Canadian Math. Bull. (2022), 65(4), pp. 1050-1062. (journal version).
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20. Arithmetic Statistics and Noncommutative Iwasawa theory
11G05, 11R23; joint with Debanjana Kundu and Antonio Lei
Documenta Math. (2022), 27, pp. 89-149 (journal version).
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21. Rational points on Algebraic Curves in Infinite towers of Number fields
11G10, 11G30, 11R23; The Ramanujan Journal (2023), Vol. 60, pp. 809–824. (journal version).
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22. Statistics for p-ranks of Artin-Schreier covers
11G20; Acta Arithmetica 205 (2022) , 211-226 (journal version).
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23. Iwasawa Invariants for Symmetric Square representations
11R23; joint with Ramdorai Sujatha and Vinayak Vatsal
Research in the Mathematical Sciences (2023), Vol 10, issue 1, 27. (journal version)
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24. Arithmetic Statistics for the Fine Selmer group in Iwasawa theory
11G05, 11R23; joint with Ramdorai Sujatha
Research in Number theory (2023), Vol 9, issue 3, 59. (journal version)
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25. On the μ equals zero conjecture for the Fine Selmer group in Iwasawa theory
11F80, 11G05, 11R23; preprint (Feb 2022), joint with Shaunak Deo and Ramdorai Sujatha
Pure & Applied Math. Quarterly (2023) vol.19, no.2, pp. 641-680 (journal version)
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26. Topological Iwasawa invariants and Arithmetic Statistics
11R23, 57K10; preprint (Mar 2022), joint with Cedric Dion
Documenta Math. (2022), 27, pp. 1643-1669; (journal version).
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27. Class group statistics for torsion fields generated by elliptic curves
11G05; preprint (April 2022), joint with Tom Weston
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28. Asymptotic growth of Iwasawa invariants in Noncommutative towers of number fields
11R23; preprint (June 2022).
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29. Remarks of Hilbert's tenth problem and the Iwasawa theory of elliptic curves
11R23, 11G05, 11U05;
Bull. Australian Math. Soc. (2023), 107(3), pp. 440-450 (journal version)
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30. Remarks on Catalan's equation over Function fields
11D41, 11R58;
Finite Fields & their Applications (2023), Vol. 91, no. 102271 (journal version)
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31. Diophantine equations of the form Y^n=f(X) over function fields
11D41, 11R58; preprint (July 2022).
accepted for publication in Bull. Australian Math. Soc. (published online)
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32. On the distribution of Iwasawa invariants associated to Multigraphs
05C25, 11R23; preprint (July 2022), joint with Cedric Dion, Antonio Lei and Daniel Vallieres.
accepted for publication in Nagoya Math. J.
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33. A note on the distribution of Iwasawa invariants of imaginary quadratic fields
11R23; Bull Braz Math Soc (2023), New Series 54, 36. (journal version)
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34. On large Iwasawa λ-invariants of imaginary quadratic function fields
11R23; accepted for publication in the Ramanujan Journal (published online)
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35. On the corank of the fine Selmer group of an elliptic curve over a Zp-extension
11R23, 11G05; accepted for publication in the Ramanujan Journal (published online)
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36. An analogue of Kida's formula in graph theory
05C25, 11R23; preprint (Sep 2022), joint with Daniel Vallieres.
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37. Galois representations ramified at one prime and with suitably large image
11F80;Trans. American Math. Soc. (2023) Vol. 376 No.10, pp. 7287-7305
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38. On the number of subrings of Z^n of prime power index
11H06, 11A25; preprint (Nov 2022), joint with Hrishabh Mishra
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39. On the distribution of Alexander polynomials in certain families of closed braids
11R29, 57M25;
European J. of Mathematics (2023) Vol 9, Issue 3, article 65 (journal version)
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40. Hilbert's tenth problem in anticyclotomic towers of number fields
11R23, 11U05; preprint (Feb 2023), joint with Tom Weston
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41. Constructing Galois representations with prescribed Iwasawa λ-invariant
11R23, 11F80; preprint (Mar 2023).
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42. On the distribution of eigenvalues in families of Cayley graphs
11H06, 05C25; preprint (Mar 2023); joint with Matilde Lalin
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43. Diophantine stability for elliptic curves on average
11GO5, 11U05, 11R45; preprint (April 2023), joint with Tom Weston
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44. Lower bounds for the number of number fields with Galois group GL2(Fâ„“)
11R32, 11G05; preprint (May 2023).
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45. Counting number fields whose Galois group is a wreath product of symmetric groups joint with Hrishabh Mishra, 11R45, 11R29, 37P15; preprint (June 2023).
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46. Remarks on Greenberg's conjecture for Galois representations associated to elliptic curves , 11R23; preprint (August 2023).
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47. Asymptotic growth patterns for class field towers , 11S20, 11R23; preprint (September 2023) joint with Arindam Bhatacharyya and Vishnu Kadiri
Documenta Math. : revisions
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48. On the Iwasawa invariants of Artin representations, 11R23, 11F80; preprint (September 2023), joint with Aditya Karnataki
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