Publications:

• A variant of the congruent number problem (with S. Purkait) Kyushu J, Math., 78(2), 413-432 (2024).
• Density results for the parity of (4k, k)-singular overpartitions (with V. M. Aricheta and H. J. Shi) Journal of Number Theory, 262, 354-370 (2024).
• Concordant pairs in ratios with rank at least two and the distribution of \(\theta\)-congruent numbers. Proc. Japan Acad. Ser. A. Math. Sci., 98(4), 25-27 (2022).
• Jeśmanovicz’ conjecture for polynomials. Periodica Mathematica Hungarica. 82, 29-38 (2021).
• The torsion subgroup of the elliptic curve \(Y^2 = X^3 + AX\) over the maximal abelian extension of \(\mathbb{Q}\). Funct. Approx. Comment. Math. 63(2): 137-149 (2020).
• The torsion subgroup of a family of elliptic curves over the maximal abelian extension of \(\mathbb{Q}\). Czech. Math. J. 70, 979-995 (2020).
• A family of elliptic curves with rank at least 2 derived from Brahmagupta’s formula (with R.M. Corpuz) Matimyás Matematika, 42(2), 11-20 (2019).
• On the monoid of monic binary quadratic forms (with V. Ponomarenko and O.J.Q. Tigas). Miskolc Math. Notes, 20(2),  863-871 (2019).
• On the cohomological coprimality of Galois representations associated with elliptic curves. Proc. Japan Acad. Ser. A. Math. Sci., 91(10), 141-146 (2015).
• On the vanishing of cohomologies of \(p\)-adic Galois representations associated with elliptic curves, Kyushu J, Math., 69(2), 367-386 (2015).
• On Tate-Shafarevich groups of families of elliptic curves (with F. R.  Nemenzo), Notes on Number Theory and Discrete Math., 18(2), 42-55 (2012).

Proceedings:

• A report on the cohomological coprimality of Galois representaions, In: RIMS Kokyuroku Bessatsu B64: Algebraic Number Theory and Related Topics 2014, eds. T. Tsuji, H. Takahashi, and Y. Hoshi, Research Institute for Mathematical Sciences, Kyoto University (2017), 79-84.
• On cohomologies of some ordinary \(p\)-adic Galois representations, In: Proceedings of the 9^th Fukuoka Symposium on Number Theory, Ritsumeikan Asia Pacific University, Beppu, Japan, 2-4 September 2014.
• On the vanishing of cohomologies of \(p\)-adic Galois representations associated with elliptic curves, In: Proceedings of the 8^th Fukuoka Symposium on Number Theory, Kyushu University, Fukuoka, Japan, 8-10 August 2013.

Preprints (available upon request):

• On moduli for which the Fibonacci sequence contains a reduced residue system (with J. Cadeliña) – to appear in The Fibonacci Quarterly
• Second-order linear recurrences and quadratic residue patterns
• Irrational variants of the congruent number problem