UNDERGRADUATE RESEARCH
OPPORTUNITIES FOR RESEARCH
MATH 4800 - Undergraduate Research Topics
| Fall 2020: | Symmetry, Manifolds and Flags |
| Instructor: | Aaron Bertram (bertram@math.utah.edu) |
| Day(s)/Time: | CLICK HERE |
| Location: | |
| Course Credit: | 3 credits |
| Compensation: | $500 (Notice that this is a class, so regular tuition policies apply.) |
| Description: |
What do you remember from your undergraduate math classes? How do they connect to
topics in graduate-level mathematics? In this course, we will use the notions of symmetry
and manifolds to reexamine some of the big ideas from calculus, linear algebra, analysis,
group theory and topology, and look at some advanced topics, such as representations
of finite groups, Lie groups and Lie algebras and a bit of the algebraic geometry
of flag manifolds.
|
| Prerequisites: |
Math 2270 (Linear Algebra) and 3210-20 (Foundations of Analysis), Instructor Consent |
Applications for SPRING 2021 are due Tuesday, January 26th.
See below for instructions.
The student works with a faculty mentor on exploring an area of mathematics not usually taught in standard classes. Mentor and advisor meet weekly throughout the semester to discuss topics from relevant text or journal article readings. These projects may sometimes be appropriate as preludes to independent projects, in cases where the ultimate research area requires a lot of prerequisite knowledge. At the end of the semester, the REU student produces a final expository paper on aspects of their research.
| Compensation: |
Up to $1000 in Fall or Spring. Up to $750 in the Summer. |
| Expectations: | During the semester meet regularly with mentor (at least weekly), and generate an expository paper summarizing what you learned. You are also encouraged to give a presentation in our symposium, which is usually held on the Reading Day before final exams begin. |
| Course Credit: | You may take Introduction to Research as a class (up to 3 credit hours). Please specify that in your application. (The course number will be 5910. Normal tuition policies apply. You can count this course towards university Upper Division Hour requirements, but not as an elective for your math/applied math major. Note that a section needs to be created for you and your mentor, so please apply early!). |
Application Instructions:
In an email to the Director for Undergraduate Studies (ugrad_director@math.utah.edu) please submit the following material:
- Biographical information including your name; uID#; whether you are a U.S. citizen, national, or permanent resident; whether you have participated in an REU before; and whether you are applying for an Independent REU Project or an Intro to Research course.
- A letter of support from your mentor (this can be sent to the email above directly by your mentor).
- A current unofficial transcript (generated on CIS). If you have a considerable amount of transfer credits (especially for Math classes), please include an unofficial transcript from your previous institution(s). (Please use the PDF format.)
- A project proposal prepared with your mentor. (Please use the PDF format.)
- If this is a continuing award: your report from previous semester, approved by your mentor.
Applications for SPRING 2021 are due Tuesday, January 26th.
See below for instructions.
Students are strongly encouraged to take Introduction to Research first, before doing an individual project. If you would like an exception, please ask your mentor to comment on your previous experience relevant for your project, in the letter of support.
Work on a research project in Mathematics under the mentorship of a faculty member. You must have a member of the Mathematics faculty who is willing to serve as your mentor. Discuss with the prospective mentor the scope and design of your project and prepare a project description.
| Compensation: |
Up to $1,500 for Fall and Spring semesters. For the Summer, the amounts are multiplied by 3/4. Continued funding depends on the student's performance in the previously funded REU activities. |
| Expectations: | Meet regularly with mentor, give a talk with slides, write a report, and submit an evaluation. Your work, presentation, and report will be evaluated by Mathematics faculty. |
| Time Commitment: | 10 hours per week, on average |
Application Instructions:
In an email to the Director for Undergraduate Studies (ugrad_director@math.utah.edu) please submit the following material:
- Biographical information including your name; uID#; whether you are a U.S. citizen, national, or permanent resident; whether you have participated in an REU before; and whether you are applying for an Independent REU Project or an Intro to Research course.
- A letter of support from your mentor (this can be sent to the email above directly by your mentor).
- A current unofficial transcript (generated on CIS). If you have a considerable amount of transfer credits (especially for Math classes), please include an unofficial transcript from your previous institution(s). (Please use the PDF format.)
- A project proposal prepared with your mentor. (Please use the PDF format.)
- If this is a continuing award: your report from previous semester, approved by your mentor.
REU SYMPOSIUM
These meetings are held at the end of semester and showcase the research that is being
done by undergraduates in our department.
Archive of the symposium from Fall 2013 and here for pre-Fall 2013.
OTHER FUNDING SOURCES
The Undergraduate Research Opportunity Program (UROP) which is sponsored by the University of Utah Office of Undergraduate Studies also supports undergraduate research. The support you get is $1200 for the first
semester and $600 for a renewal (as of Fall 2015). The deadlines are usually mid July
(for Fall support) and mid November (for Spring support), so plan accordingly.
Individual faculty members or research groups may also sponsor undergraduate research
through grants.
RESEARCH RELATED LINKS
UNDERGRADUATE RESEARCH SCHOLAR DESIGNATION
Students fulfilling certain qualifications may have the designation of "Undergraduate Research Scholar" appear in the awards section of their transcript. For more information visit the Undergraduate Research Scholar Designation (URSD) webpage.
Why? An independent research project is excellent preparation for graduate school, teaching, research, or a job in industry. It is also fun and challenging. You will learn things in a completely new way when you work independently, but with the help of a faculty mentor.
How? Choose an undergraduate research advisor (a faculty member) and a problem or topic to work on. If you desire, you may apply for funding, either through the Mathematics department REU program (see above) or the Office of Undergraduate Studies' UROP program.
What? Whatever you do --- solve a problem, prove a theorem, develop a computer model, find a new way of teaching or explaining a topic -- you will write up the results in a paper accessible to other undergraduate students.
When? Usually during the junior or senior year.
Questions?
OR
JWB 325
801-585-1628