IMPORTANT:
NEWS ABOUT THE SUMMER SCHOOL

Our summer school, planned originally for June 2020 had to be cancelled due to the corona virus situation throughout the world. At that time we hoped to organize the school with the same content in 2021. Unfortunately the pandemic is in some sense stronger than ever (March 2021) and although the hopefully joyful end to restrictions is in sight, it is still very unlikely that our lives will get back to normal by June 2021. Thus with regret we had to postpone our school once more till 2022. If you are interested in joining us, please visit the site from time to time for updates. Our next announcement will most likely arrive at the end of 2021.

Welcome!

The Institute of Mathematics at Eötvös Loránd University is pleased to announce its regular one week long summer school in mathematics

"Topics in number theory:
ancient problems, recent results".

Number theory is one of the most ancient, yet in modern times also very active areas of mathematics (with over 2000 submissions per year to arxiv!). German mathematician Carl Friedrich Gauss said "Mathematics is the queen of the sciences – and number theory is the queen of mathematics." One of the beauties of number theory is that there are many problems which can be stated in an elementary way but the solution is very deep or even still open. As a consequence the methods used to tackle such problems are diverse making number theory related to almost all areas of mathematics. In this summer school we intend to introduce the participants to many of these various techniques.

The five minicourses will be aimed at advanced undergraduate/starting graduate students. A first course in complex analysis and abstract algebra would certainly be useful but we do not assume preliminary acquaintance with the special topics of the school. We also plan to give exercises/problems which can be discussed in the afternoon sessions.

The lecturers are professors at Eötvös Loránd University (ELTE) and the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences. The lectures will take place at the Lágymányos Campus of Eötvös Loránd University (1117 Budapest, Pázmány Péter sétány 1/c, Hungary).

The titles of the minicourses:

• Gyula Károlyi (ELTE / Rényi): The polynomial method in combinatorial arithmetic
• Péter Maga (Rényi): Distribution of primes in arithmetic progressions
• János Pintz (Rényi): Small and bounded gaps between primes
• Árpád Tóth (ELTE): Introduction to ellpitic curves
• Gergely Zábrádi (ELTE): p-adic methods in arithmetic

We encourage participation of advanced BSc students of mathematics as well as MSc and PhD students, interested in this dynamic and highly appreciated area of mathematics.

Also, if you are interested in a true European metropolitan city with a vivid cultural life, then Budapest is an obvious choice.

Cost and Deadlines

The fee for participation in the Summer School is 120 Euros (135 USD) if paid by April 30, and 170 Euros (190 USD) afterwards. The fee covers printed course material and refreshments.

Deadline of application for financial support: TBA

Registration (and payment of the fee) begins: TBA and will be closed: TBA See the payment information.

Please note that the university is not able to refund the registration fee in case of cancellation.

First day of classes: TBA

Last day of classes: TBA

Financial support

Financial support – made possible by the donation of the Alfréd Rényi Institute of Mathematics – will be available for the participants in the form of reduction or complete waiver of the registration fee and partial reimbursement for accommodation during the summer school. Please, send a letter before April 16, 2022 to the organizers. The letter should contain:

• a short CV, containing among others your study data
• a recommendation letter
• type of needed support

Please, send the letter before April 16, 2022. A decisison based on academic excellence and financial circumstances will be made by the organizers before April 23, 2022. Due to the limited amount of available resources we encourage everyone to apply for external funding, too.

Schedule

The schedule will be announced one week prior to the summer school.

Venue

Address of the university: 1117 Budapest, Pázmány Péter sétány 1/C

Sponsors