D. Nguyen

collaborators

4 papers

math.NT2025

Congruent modular forms and anticyclotomic Iwasawa theory

Dac-Nhan-Tam Nguyen

Let $p$ be an odd prime. Consider normalized newforms $f_{1}, f_{2}$ that both satisfy the Heegner hypothesis for an imaginary quadratic field $K$ and suppose that they induce isomorphi…

math.NT2025

Galois cohomology of elliptic curves over anticyclotomic extensions

Dac-Nhan-Tam Nguyen, Sujatha Ramdorai

Let $K$ be an imaginary quadratic field and $p$ be an odd prime number. Let $E / Q$ be an elliptic curve with good ordinary reduction at $p$ . We study the Iwasawa theory of…

math.NT2025

On $I^»$ -invariants of congruent modular forms in the anticyclotomic, indefinite setting

Dac-Nhan-Tam Nguyen

We give a precise, computable formula for comparing $I^»$ -invariants between modular forms in the anticyclotomic indefinite setting where the Selmer groups have positive rank. This…

math.NT2025

Congruent elliptic curves over some $p$ -adic Lie extensions

Dac-Nhan-Tam Nguyen, Ramdorai Sujatha

Let $p$ be an odd prime number. In this article, we study the variation of Iwasawa invariants among $p$ -congruent elliptic curves over certain $p$ -adic Lie extensions. We investiga…

Congruent modular forms and anticyclotomic Iwasawa theory

Galois cohomology of elliptic curves over anticyclotomic extensions

On I^»-invariants of congruent modular forms in the anticyclotomic, indefinite setting

Congruent elliptic curves over some p-adic Lie extensions

On $I^»$ -invariants of congruent modular forms in the anticyclotomic, indefinite setting

Congruent elliptic curves over some $p$ -adic Lie extensions