| Research Interests of Lindsay N. Childs |

| | Noether's theorem is the starting point for an extensive global theory which, for a tamely ramified **Galois** extension L/K of algebraic number fields, relates the class of the ring of integers S of L in the locally free class **group** Cl(RG) (or Cl(ZG)) to analytic invariants associated with L-functions. |

| | For wild extensions, one approach is **Galois** module theory is to replace the **group** ring RG by a larger order in KG, the associated order of S in KG, namely, the set of elements in KG which map S into itself (not just into L). |

| | Bondarko's paper looks at Hopf orders in **group** rings of abelian **groups** and shows, under some restrictions, that a Hopf order is realizable iff the Hopf order represents the kernel of an isogeny of dimension one formal **groups** (and is then necessarily monogenic). |

| nyjm.albany.edu:8000 /~lc802/research.html (876 words) |