Özlem Imamoglu: Catalogue data in Spring Semester 2019

Name Prof. Dr. Özlem Imamoglu
Dep. Mathematik
ETH Zürich, HG G 37.3
Rämistrasse 101
8092 Zürich
Telephone+41 44 632 79 24
RelationshipAdjunct Professor

401-0164-00LMultilinear Algebra and Its Applications Information 3 credits2V + 1UÖ. Imamoglu
AbstractReview of the basic concepts of linear algebra, including vector spaces, linear and multilinear maps. Introduction to tensors and multilinear algebra.
ObjectiveThe goal of this course is to introduce the student to tensors, multilinear algebra and its applications.
ContentReview of linear algebra with emphasis on vector spaces
and linear and multilinear transformations.
Tensors of first and second order
Higher order tensors.
Multilinear maps and tensor products of vector spaces
Applications of tensors.
401-4110-19LModular Forms Information Restricted registration - show details
Number of participants limited to 20.
4 credits2SÖ. Imamoglu
AbstractThe course will cover the basic properties of the classical modular forms
ObjectiveThe aim is cover the classical theory of modular forms.
ContentBasic definitions and properties of SL(2,Z), its subgroups and modular forms for SL(2,Z). Eisenstein and Poincare series. L-functions of modular forms. Hecke operators. Theta functions. Maass forms.
LiteratureA course in Arithmetic, by J.P. Serre
Modular Forms, by T. Miyake
Introduction to elliptic curves and modular forms, by N. Koblitz
A first course in modular forms by F.Diamond and, J. Shurman
Prerequisites / NoticeFunktion theory and Algebra I & II are prerequisites.
401-5110-00LNumber Theory Seminar Information 0 credits1KÖ. Imamoglu, P. S. Jossen, E. Kowalski, P. D. Nelson, R. Pink, G. Wüstholz
AbstractResearch colloquium
ObjectiveTalks on various topics of current research.
ContentResearch seminar in algebra, number theory and geometry. This seminar is aimed in particular to members of the research groups in these areas and their graduate students.