The spring semester 2021 will certainly take place online until Easter. Exceptions: Courses that can only be carried out with on-site presence. Please note the information provided by the lecturers.

Emmanuel Kowalski: Catalogue data in Spring Semester 2016

Name Prof. Dr. Emmanuel Kowalski
FieldMathematics
Address
Professur für Mathematik
ETH Zürich, HG G 64.1
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 34 41
E-mailemmanuel.kowalski@math.ethz.ch
URLhttp://www.math.ethz.ch/~kowalski
DepartmentMathematics
RelationshipFull Professor

NumberTitleECTSHoursLecturers
401-1152-00LLinear Algebra II7 credits4V + 2UE. Kowalski
AbstractDeterminants, eigenvalues and eigenvectors, Jordan normal form, bilinear forms, euclidean and unitary vector spaces, selected applications.
ObjectiveBasic knowledge of the fundamentals of linear algebra.
401-2000-00LScientific Works in Mathematics Information
Target audience:
Third year Bachelor students;
Master students who cannot document to have received an adequate training in working scientifically.

Mandatory for all Bachelor and Master students with matriculation in the autumn semester 2014 or later.
Optional for Bachelor and Master students with matriculation until or before the spring semester 2014.
Example: You matriculated in the autumn semester 2013 into the first semester of the Bachelor programme, are now in the third year and plan to matriculate in the autumn semester 2016 into the first semester of the Master programme. In this case, you don't need "Scientific Works in Mathematics" in order to complete the Bachelor degree, but for the Master degree you will need it. In this case, we recommend that you register for "Scientific Works in Mathematics" in the spring semester 2016.

Directive Link
0 creditsE. Kowalski
AbstractIntroduction to scientific writing for students with focus on publication standards and ethical issues, especially in the case of citations (references to works of others.)
ObjectiveLearn the basic standards of scientific works in mathematics.
Content- Types of mathematical works
- Publication standards in pure and applied mathematics
- Data handling
- Ethical issues
- Citation guidelines
Lecture notesMoodle of the Mathematics Library: https://moodle-app2.let.ethz.ch/course/view.php?id=519
Prerequisites / NoticeThis course is completed by the optional course "Recherchieren in der Mathematik" (held in German) by the Mathematics Library. For more details see: http://www.math.ethz.ch/library/services/schulungen

Mandatory for all Bachelor and Master students with matriculation in the autumn semester 2014 or later.
Optional for Bachelor and Master students with matriculation until or before the spring semester 2014.
Example: You matriculated in the autumn semester 2012 into the first semester of the Bachelor programme, are now in the third year and plan to matriculate in the autumn semester 2015 into the first semester of the Master programme. In this case, you don't need "Scientific Works in Mathematics" in order to complete the Bachelor degree, but for the Master degree you will need it. In this case, we recommend that you register for "Scientific Works in Mathematics" in the spring semester 2015.

Directive https://www.ethz.ch/content/dam/ethz/common/docs/weisungssammlung/files-en/declaration-of-originality.pdf
401-3057-61LExpander Graphs and Their Applications6 credits2V + 1UE. Kowalski
AbstractThe course will present the basic theory and selected applications of expander graphs. It will develop the general idea of expansion of graphs and the different formulations of expanding graphs. The existence of expanding graphs will then be established using both probabilistic and deterministic methods. Applications to number theory, geometry and theoretical computer science will be described.
Objective
ContentThe course will present the basic theory and selected applications of expander graphs. It will first develop the general idea of expansion of graphs and the different formulations of expanding graphs. The existence of expanding graphs will then be established using both probabilistic and deterministic methods (including a discussion of the recent work on expansion of finite linear groups). Applications to number theory, geometry and theoretical computer science will be described.
Lecture notesLecture notes will be available.
LiteratureHoory, Linial and Wigderson: Expander graphs and their applications,
Bull. Amer. Math. Soc. 43 (2006), 439-561
Prerequisites / NoticePrerequisites: Measure and integration, algebra I + II.
401-5110-00LNumber Theory Seminar Information 0 credits1KÖ. Imamoglu, P. S. Jossen, E. Kowalski, P. D. Nelson, R. Pink, E. Viada, 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.