ESP Biography
OLEG LAZAREV, ESP Teacher
Major: Mathematics College/Employer: Stanford Year of Graduation: 2017 

Brief Biographical Sketch:
Not Available. Past Classes(Clicking a class title will bring you to the course's section of the corresponding course catalog)M4871: The Euler Characteristic and the Unity of Mathematics in Splash Spring 2016 (Apr. 09  10, 2016)
One of the most appealing aspects of modern mathematics is that many seemingly unrelated areas turn out to be closed related. One example of this underlying unity is the Euler characteristic, an integer invariant associated to many types of spaces, that appears in diverse areas of math like graph theory, topology, and geometry. We will first explore the seemingly innocent notion of the Euler characteristic of a graph and then explain why this integer is a "topological invariant." We will then connect the Euler characteristic to geometry and discuss the following interesting "weather" fact: there are always at least two points on the Earth where wind velocity is exactly zero (this would not be true if the Earth were the shape of a donut!).
