Antonio Lei

Classical Iwasawa theory studies the variation of arithmetic invariants, such as ideal class groups, along infinite towers of number field extensions. Over the years, these ideas have been extended to a wide range of arithmetic objects, including...

Let E/Q be an elliptic curve. In Iwasawa Theory, we study the behaviours of E over a tower of number fields. For example, it is known that the Mordell Weil ranks of E over all p-power cyclotomic extensions of Q are bounded when p does not divide the...