Autumn Semester 2020 takes place in a mixed form of online and classroom teaching.
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Alessandro Sisto: Catalogue data in Spring Semester 2017

Name Dr. Alessandro Sisto
Professur für Mathematik
ETH Zürich, HG J 43
Rämistrasse 101
8092 Zürich
Telephone+41 44 632 93 72
RelationshipAssistant Professor

401-1004-17LThe 2-Sphere and the Hyperbolic Plane2 credits2VA. Sisto
AbstractIn Euclidean geometry, given a line and a point outside of it, there exists a unique line through the given point and parallel to the given line. We will study two of the simplest examples of non-Euclidean geometry, one (the sphere) where there are no parallel lines through a given point, and one (the hyperbolic plane), where there are infinitely many.
ObjectiveBecoming familiar with the (elementary) geometry of the sphere and the hyperbolic plane, which are crucial examples and objects of study in several areas of geometry.
401-3140-17LHyperbolic Surfaces Restricted registration - show details
Number of participants limited to 13.
4 credits2SA. Sisto, P. D. Nelson
AbstractAny surface of genus at least 2 admits a metric locally modeled on the hyperbolic plane, and in fact it admits many such metrics. These metric structures play a fundamental roles in the study of surfaces and more in general in low-dimensional topology.
ObjectiveIn the first few meetings, we will briefly review the hyperbolic plane and then construct hyperbolic metrics.
I will then propose a few topics related to hyperbolic metrics and we will decide which one to pursue.
401-5530-00LGeometry Seminar Information 0 credits1KM. Burger, M. Einsiedler, A. Iozzi, U. Lang, A. Sisto, University lecturers
AbstractResearch colloquium