In reverse chronological order.

Research Papers and Preprints

1. Rank bounds on curves of the form y^2 = x(x^2 − p^2)(x^2 − 4p^2) (joint with T. Evink). (in preparation)
2. Towards a classification of isolated j-invariants. (join t with A. Bourdon, S. Hashimoto, T. Keller, Z. Klagsburn, D. Lowry-Duda, T. Morrison and F. Najman) (in prepraration).
3. Computing Cassels-Tate pairing on odd-degree hyperelliptic curves (in preparation).
4. Cassels-Tate pairing on 2-Selmer groups of elliptic curves. (joint work with Michael Stoll) (submitted).
5. How many zeros of a random sparse polynomial are real? (joint work with G. Jindal, A. Pandey and C. Zisopoulos), 45^th International Symposium on Symbolic and Algebraic Computation (8 pages), Kalamata, Greece.
6. On Definable Functions of Atomless Boolean Algebras (joint work with A. S. Kuber) (16 pages) (in preparation).
7. Definable Combinatorics with Dense Linear Orders (joint work with A. Jain and A. S. Kuber), (21 pages) Archive for Mathematical Logic.
8. On Resource-Bounded van Lambalgen's Theorems (joint work with Diptarka Chakraborty and Satyadev Nandakumar), 14^th Annual Conference on Theory and Applications of Models of Computation (14 pages), Bern, Switzerland.

Talks

1. Cassels-Tate pairing on the curves of the form y^2 = x(x^2 − p^2)(x^2 − 4p^2). Early Number Theory Researchers (ENTR) Workshop, Universität Bielefeld, 2023.
2. Computing Cassels-Tate pairing on superelliptic curves. Crypto Seminar, CISPA, St. Ingbert, 2023.
3. Computing Cassels-Tate pairing on the curves of the form y^2 = x^l + A. Algebra Seminar, Rijksuniversiteit Groningen, 2022.
4. Computing Cassels-Tate pairing on odd-degree hyperelliptic curves. Rational Points, Schney, 2022.
5. Computing Cassels-Tate pairing on odd- degree hyperelliptic curves. Oberseminar Arithmetische Geometrie, Universität Bayreuth, 2022.
6. Cassels-Tate pairing on hyperelliptic curves. Oberseminar Arithmetische Geometrie, Universität Bayreuth, 2021.
7. Playing dodgeball with normality. Oberseminar Arithmetische Geometrie, Universität Bayreuth, 2021.
8. Computing Cassels-Tate pairing for 2-selmer groups of elliptic curves. Oberseminar Arithmetische Geometrie, Universität Bayreuth, 2020.
9. Introduction to Heegner points-I and II. Oberseminar Arithmetische Geometrie, Universität Bayreuth, 2020.
10. On expected number of zeros of random sparse polynomials. Graduate School Seminar, MPI-Inf. Saarbruecken, 2019.
11. On Grothendieck Rings of some partial orders. Math-Stat. Seminar, IIT Kanpur, 2018.
12. On Resource-Bounded versions of the van Lambalgen's theorem, 14^th Annual Conference on Theory and Applications of Models of Computation, Bern 2017.

Workshops attended

1. Summer school on arithmetic statistics, held at CIRM, Luminy, France, 2023.
2. COmputations and their Uses in Number Theory (COUNT), held at CIRM, Luminy, France, 2023.
3. Summer school on automorphic forms, held at Alfred Rényi Institute of Mathematics, Budapest, 2022.
4. Summer school on elliptic curves, held at Baskerville Hall, Hay on Wye, Wales, 2022.
5. Summer school on number theory as informed by computation, held at PCMI, Park City, Utah, US 2022.
6. Branching in Number Theory: p-adics in sciences, held at MPI-MiS, Leipzig, Germany
7. Elliptic curves and special-values of L-functions (online), held at ICTS, Bengaluru, India.
8. Workshop on Theoretical and Computational aspects of Birch and Swinnerton Dyer Conjecture held at ICTS, Bengaluru, India.
9. Workshop on Perspectives in Complexity and Cryptography held at IISc, Bengaluru, India.