Mathematical Sciences: The Theory of Automorphic Forms

亨特利教授将研究与以下相关的几个问题 自守型 特别是，他将研究非全纯 高阶约化群上的尖点形式 他希望证明一个 类似于Weyl定律。 他还将研究小 特征值及其与Ramanujan猜想的关系。 自守形式产生于非欧几里德几何， 世纪中期。 数学家和 因此，物理学家早就意识到， 重要性在其基本性质上是非欧几里德。 此字段为 主要是关于整数的问题，但是 在使用几何和分析时，它保留了与其 历史根源，从而在不同领域的问题， 理论物理理论与信息编码理论 理论

Professor Huntley will work on several problems connected with automorphic forms. In particular, he will study non-holomorphic cusp forms on higher rank reductive groups. He hopes to prove an analogue of Weyl's law for such groups. He will also study small eigenvalues and their relation to the Ramanujan conjecture. Automorphic forms arose out of non-Euclidean geometry in the middle of the nineteenth century. Both mathematicians and physicists have thus long realized that many objects of fundamental importance are non-Euclidean in their basic nature. This field is principally concerned with questions about the whole numbers, but in its use of geometry and analysis, it retains connection to its historical roots and thus to problems in areas as diverse as gauge theory in theoretical physics and coding theory in information theory.