**Who can participate?**The list of research topics and professors proposing them is posted below. In addition to the problem description, each professor gives introductory problems for interested students to solve under "Qualifying problems". If you are considering participating, submit your solutions to the qualifying problems of the research problem that you would like to work on**by January 30th**, directly to the professor whose problem you are interested in.

Enrollment will be based on solutions submitted to qualifying problems to professors and your transcript and reference letter submitted as your application materials to the American office. Decisions on admittance to the research group will be made**by February 4th**.**Which topics will actually be offered ("stay alive")?**Of the initially offered research problems those will be offered eventually, for which a group of students sign up and are admitted to the program. Ideally, a group would consist of 3-5 students.**Course work: weekly meetings & presentation.**The research groups will meet at least 2 times weekly, two hours each. (At least) one meeting is devoted to group work, without the professor, when you discuss the problem and possible solutions with your student group. Another (one) meeting of the week is spent with your professor who will monitor your group's progress. (Depending on progress and other factors, you may have more than one meeting with the professor, on a given week.)

__Week 3 - Milestone 1:__The first 2.5 weeks of the course are spent discussing, gathering and studying necessary background information for your problem. On teh 3rd week, during colloquium, each research group will have to present the problem they are working on in a 20-minute talk, at a "mini workshop" organized for all research participants, their professors and everyone else interested.

In addition, each student wishing to participate in a research group*may*have to write a summary of the status of the research project — on their own, at the professor's request. The summary should consist of stating the problem/aims of the research group, plans on tackling the problem, as well as an outline of work done during the first 2.5 weeks with a write up of results (if any) achieved by that time.

Professors evaluate progress and final enrollment decisions are made, based on the written summary (if available), oral presentation and work done during the first 2.5 weeks.

Please, note that some research groups may die out or be discontinued after the 3rd week, so plan accordingly. Also, the research class is the only class where a student wishing to take the course may not be able to, since it is at the discretion of the professor to let students become members of their research group.

__Week 7 - Milestone 2:__students receive "midterm evaluation grades" (MAG) and continuance is determined. Grading is done on an A-F scale.The MAG depends on all work up to that point as well as a self/group evaluation sent out to all group members (individually). If necessary, each student

*may*be required to submit a (relatively short) report on the work in progress to their professor. (Thus the report should include a eg description of the problem, as well as the methods used in tackling the it and a write-up of results, if any.)Note that only students meeting each of the following criteria may continue working on research after week 7 (all other students will have to drop research or will receive an "Audit" for the course):

- the midterm assessment grade for the research course is at least A-
- their grades in all of their other mathematics courses is at least B
- their GPA in all math courses is at least 3.5 (using the A+ 4.3, A 4 pont, A- 3.7, B+ 3.3, B 3, pont conversion).

__Week 13 - Milestone 3:__: Work continues throughout the semester. At the 13th week each group should present their results at a "Preliminary report session" organized for all RES participants, their professors and everyone else interested.Grading is done on an A-F scale.

Write up of results is continuous and oftentimes streches to after the semester is over.**Course work: writing a paper.**Depending on results obtained all work will be summarized in a paper/research report.

This course is designed in the style of
the Hungarian "TDK" system, allowing *advanced* undergraduates to
become acquainted with research methods in detail and
acquire additional knowledge beyond their obligatory curriculum.
(For a brief English description of the TDK system
see a relevant ELTE University
homepage.)

In this course, a student can choose from the topics/problems listed below and work with
other students and the professor to solve the given problem. All work is
summarized in two individual reports (as explained below) and
ideally a research paper, however that is not expected to achieve given the time constraints.
In addition, during the semester there will be opportunities
to present your work as well.

Participating in the research course may contribute to the successful beginning of a scientific career:
depending on level,
the results obtained can be presented at school, statewide or national
undergraduate meetings ranging from a local Undergradute Seminar at your
home school to
MAA's MathFest.
Papers may also be published in undergraduate research journals
such as
The Rose-Hulman Undergraduate Mathematics Journal,
Involve and
several others.

In some PhD programs, fruitful undergraduate
reserach activity is a prerequisite for admission.

Student research is supervised by professors. Research topics are offered
by them, but students can also propose topics of their own interest.

You can view
articles that were written under the auspices
of the BSM program

**Description:** Click here

**Prerequisites:** graph theory and combinatorics

**Professor:**Ervin Györi

**Contact:**gyori@renyi.hu

**Qualifying problems:** If you are interested in participating the research project, please send your
solutions to the above Qualifying Problems given here to the email address
given above, by the deadline, January 30th

**Description:** Click here.

**Prerequisites:** "We shall mostly use graph theoretic and combinatorial methods, so famil-
iarity with the basics of graph theory is useful. Depending on the problems,
in some cases geometric intuition is also useful, as well as familiarity with
elementary linear algebra."

**Professor:**Tibor Jordan

**Contact:**tibor.jordan@ttk.elte.hu

**Qualifying problems:**Solve at least four out of the "warm up exercises",
at the end of this document, by the deadline, Jan 30th.

**Description:** Click here.

**Prerequisites:** strong command of the python numerical libraries (numpy, scipy), linear
programming, familiarity with machine learning frameworks (scikit-learn, pytorch) or fast CPU
algorithm programming (C++, Rust, numba) is an advantage.

**Professors and contact:**
Adrián Csiszárik (csadrian@renyi.hu), Dániel Varga (daniel@renyi.hu), Pál Zsámboki
(zsamboki@renyi.hu) at
the Rényi Institute of Mathematics

**Qualifying problem:**See it
at the end of this document, submit by the deadline, Jan 30th.