2021 Graduate Seminars in Mathematics S5

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Academic unit or major
Graduate major in Mathematics
Academic Supervisor 
Course component(s)
Exercise    (ZOOM)
Day/Period(Room No.)
Seminar ()  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
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Course description and aims

The aim of the seminar is to provide structure for the participating students’ research activities. The research is to be conducted on a theme determined through discussions with the academic supervisor. Students deepen and broaden their understanding of their research themes by reading related literature and giving presentations in the seminar. Open problems are identified and solved through consultations and independent research activities. Students are expected to develop theories and solve problems on their own by applying specialist knowledge in their fields as well as knowledge of other related fields that they acquired throughout their training. They also practice research techniques such as collecting and analyzing data, and are encouraged to consider the same question from many perspectives. In addition, each student writes a dissertation and makes a formal presentation detailing their research findings. Students are requested to take this course with "Graduate Research Seminars in Mathematics” in the same semester.

This course forms a central part of Tokyo Tech’s laboratory-based educational system, in which individual students work on specific research themes. This is complemented with coursework based on a structured curriculum. By carrying out research, it is expected that each student becomes an expert in their field and that they acquire comprehensive skills to identify and develop solutions to newly emerging problems.

Student learning outcomes

1. Understand the significance of mathematical problems, judge their influence on science and society, and attempt to solve them
2. Explain mathematical concepts logically, discuss them, and produce quality scientific writing
3. Apply knowledge of pure mathematics to solve problems related to a specific field
4. Work as an independent researcher and have the knowledge and competence to present their point of view effectively.


Comprehensive understanding of specific mathematical theory and application to concrete problems, Literature search, Ability to explain mathematical concepts logically, research theme, problem-solving, writing a dissertation

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

Conduct seminars under the guidance of your academic supervisor. The course schedule is determined throughdiscussions with your academic supervisor.

Course schedule/Required learning

  Course schedule Required learning
Class 1 ・ Guidance from your academic supervisor ・ Discussions on the direction of your research ・ Decide your research subject and the main textbook or research article ・Thorough reading of your textbook ・Technical presentations and discussions ・ Literature search ・ Carry out research ・ Write a dissertation ・ Prepare presentation materials and get instructions for presentation from your advisor ・ Technical presentation Follow instructions from your academic advisor


not specified

Reference books, course materials, etc.

not specified

Assessment criteria and methods

Academic advisor will evaluate
・student's understanding through their presentation at the seminars,
・the main result obtained in their research
・quality of the dissertation

Related courses

  • MTH.R695 : Graduate Research Seminars in Mathematics S5

Prerequisites (i.e., required knowledge, skills, courses, etc.)

Students are requested to take Graduate Research Seminars in Mathematics S5 (MTH.R695) simultaneously

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