Application to the Dubna Summer School "Contemporary Mathematics" (july 2007) If you wish to participate in the School, please, provide the following information: 1. Personal data 1.1. Last (family) name 1.2. First (given) name, other names (if any) 1.3. Date of birth 1.4. School (city, number/name) Class or graduation year Name of the mathematics teacher 1.5. For university students --- actual affiliation (name of the university), year of study, scientific interests (6-8 words) 1.6. Contact information: e-mail address (do not forget the postal code) phone number (please include country/city code) 1.7. Mathematical competitions during the last two years where you were most successful. What were your results? ********************************************************************************** 2. Mathematical interests Please answer (in free form) the questions below. Former Dubna Schools' participants can skip questions 2.1, 2.2, 2.3 and 2.5, and answer questions 2.4, 2.6 and 2.7 instead. 2.1. Three mathematical problems that you presently find most interesting. 2.2. Cite a short mathematical proof that impressed you by its beauty and/or unexpectedness (if you have met one). 2.3. Try to describe one of the courses you have taken (preferably, among the most recent ones; you can also describe, using the same scheme, a mathematical book you've read): 2.3.1. Title 2.3.2. Author(s) 2.3.3. Your own impression: how well have you understood the topic? 2.3.4. Main theorems of the course (at most three). 2.4. Mention a few mathematical topics that you understand well. Which of them would you like to investigate further? 2.5. List a few mathematical themes about which you do not know a lot, but which you are going (or at least would like) to learn. 2.6. List mathematical books that you have mastered (at least by 30%). 2.7. If you have participated in the 2005 or 2006 Dubna schools, please list the courses that you attended. ********************************************************************************** 3. Recommendations If someone can recommend you to the Organizing Committee to participate in the School, please give his/her contact coordinates (name, position, e-mail or address, phone number). (Participants exempted from the admission fee do not need a recommendation.) The committee's work will be easier if you'll present a recommendation, but more than three recommendations will not be considered. The recommendations should be sent to the Organizing Committee before 01.06.2007. ********************************************************************************** 4. If you have any publications, please attach a copy of each or give exact references to Internet pages. ********************************************************************************** A filled questionnaire should be sent to the Organizing Committee by e-mail to dubna@mccme.ru or by regular mail to Russia, 119002, Moscow, Bol'shoj Vlassievskii per., d. 11 (Please notice that for a mail delivery from outside Russia can take two weeks, so we do not recommend submiting by surface mail!)