A. Swaminathan

activity

20132026

most citedSurjectivity of Galois Representations in Rational Families of Abelian Varieties

16 citations · 48 across the 25 of their papers we have counts for

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Showing 2024Show all

2 papers · 1 filter

math.PR2024

Universality theorems for zeros of random real polynomials with fixed coefficients

Matthew C. King, Ashvin Swaminathan

Consider a monic polynomial of degree $n$ whose subleading coefficients are independent, identically distributed, nondegenerate random variables having zero mean, unit variance, an…

math.NT2024

A positive proportion of monic odd-degree hyperelliptic curves of genus $g \geq 4$ have no unexpected quadratic points

Jef Laga, Ashvin A. Swaminathan

Let $F_{g}$ be the family of monic odd-degree hyperelliptic curves of genus $g$ over $Q$ . Poonen and Stoll have shown that for every $g \geq 3$ , a positive proport…

Universality theorems for zeros of random real polynomials with fixed coefficients

A positive proportion of monic odd-degree hyperelliptic curves of genus g≥4 have no unexpected quadratic points

A positive proportion of monic odd-degree hyperelliptic curves of genus $g \geq 4$ have no unexpected quadratic points