# Welcome to My home page!

I am an associate professor of mathematics at the University of Regina, Canada.

CONTACT

Department of Mathematics and Statistics

University of Regina

Regina SK

Canada S4S 0A2

office: College West 307.1

e-mail: liviu.mare@gmail.com

A GLIMPSE INTO MY RESEARCH

My research interests are motivated by geometry, which is a branch of mathematics that originates in the study of objects in the surrounding world in terms of their shape, size, and relative position. One can say more about such objects if they posses some symmetry: for instance, one can say more about an isosceles or an equilateral triangle than about an arbitrary one.

A sphere is also a very symmetric object. For example, imagine that the sphere you see in the diagram rotates around the diameter and you watch it: you won't notice any difference. In the modern language of mathematics we say that the sphere is acted on by the circle, which is a group. |