Geometry of Groups & Lattices

小行星9405379 该奖项资助约翰·康威教授在几何学方面的研究。 Conway教授将研究Monster群和其他零星群的几何形状。 他还对与量子逻辑相关的几何问题感兴趣。 康威还将继续他的调查二次形式的算术和几何性质。 这是数论领域的研究。 数论基本上是对整数的研究，但它使用了数学所有其他部分的技术和思想。 Conway将使用与它们相关的几何学来研究某些代数对象。 这种几何学通过整数序列来表现自己。 在过去的半个世纪，这种类型的数论已成为双重重要的，因为它已被用来建立在计算机科学和电子学的进步。 ***

9405379 Conway This award funds the research of Prof. John Conway in geometry. Prof. Conway will study the geometry of the Monster group and other sporadic groups. He is also interested in geometrical problems associated with quantum logic. Prof. Conway will also continue his investigations into the arithmetic and geometric properties of quadratic forms. This is research in the field of number theory. Number theory is basically the study of whole numbers, but it uses techniques and ideas from all other parts of mathematics. Prof. Conway will study certain algebraic objects using the geometry associated with them. This geometry manifests itself through sequences of integers. Within the last half century, this type of number theory has become doubly important as it has been used to establish advances in computer science and electronics. ***