Emmanuel Kowalski: Catalogue data in Spring Semester 2020

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
401-2000-00LScientific Works in Mathematics
Target audience:
Third year Bachelor students;
Master students who cannot document to have received an adequate training in working scientifically.
0 creditsÖ. Imamoglu, E. 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 / NoticeDirective https://www.ethz.ch/content/dam/ethz/common/docs/weisungssammlung/files-en/declaration-of-originality.pdf
401-3109-65LProbabilistic Number Theory Information
Does not take place this semester.
8 credits4GE. Kowalski
AbstractThe course presents some results of probabilistic number theory in a unified manner, including distribution properties of the number of prime divisors of integers, probabilistic properties of the zeta function and statistical distribution of exponential sums.
ObjectiveThe goal of the course is to present some results of probabilistic number theory in a unified manner.
ContentThe main concepts will be presented in parallel with the proof of a few main theorems:
(1) the Erdős-Wintner and Erdős-Kac theorems concerning the distribution of values of arithmetic functions;
(2) the distribution of values of the Riemann zeta function, including Selberg's central limit theorem for the Riemann zeta function on the critical line;
(3) the Chebychev bias for primes in arithmetic progressions;
(4) functional limit theorems for the paths of partial sums of families of exponential sums.
Lecture notesThe lecture notes for the class are available at

https://www.math.ethz.ch/~kowalski/probabilistic-number-theory.pdf
Prerequisites / NoticePrerequisites: Complex analysis, measure and integral; some probability theory is useful but the main concepts needed will be recalled.
Some knowledge of number theory is useful but the main results will be summarized.
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.