REGS in Combinatorics - Univ. of Illinois
"REGS" means "Research Experiences for Graduate Students". The Combinatorics
REGS program has existed every summer since 2004. Much larger than Illinois
Math REGS programs in other topics, it is a lively collaborative research group
where many problems are proposed and students work in groups on the problems
that interest them. Presented by both faculty and students, the problems come
from conferences, web pages, journal articles, etc. We meet MWF 10:30-12 and
2-5 (more intensively during the first week). The program provides an early
exposure to research and exposition, thereby increasing mathematical maturity
and easing the transition from coursework to research. Many joint papers have
emerged. Projects may or may not lead to thesis research.
Funding is mostly restricted to entering students in our Math Department and
those who have finished 1-2 years of graduate study. More advanced students,
computer science students, and other visitors also participate in the
combinatorics group without direct funding from REGS. Discussion among
students with various backgrounds and various levels of experience contributes
to the training of all the students. Some visiting faculty also participate.
Further information appears in the 2010 proposal
(ps, pdf)
and yearly reports:
2011;
2010;
2009;
2007;
2006;
2005;
2004.
Note on viewing Mathjax:
During summer 2011, we switched to using Mathjax to display notation on the
problem pages (most of the later pages are in Mathjax). This makes pages
easier to create (notation is typed in equation mode of TeX between "$ $" or
"$$ $$"). Also, TeX can produce some arrangements (like binomial
coefficients) that html cannot. When browsing a page in Mathjax, there is a
slight delay while the display of notation is computed. The appearance can be
refined by right-clicking on a piece of notation and exploring; changes to
settings should persist.
Note on producing pages with Mathjax:
Mathjax does not recognize TeX font commands for text or layout; continue to
use html commands to italicize, make tables, etc. Also, html will swallow
input after "<"; use "\lt" for "less than" and "\gt" for "greater than"
in notation.
Problems presented in Summer 2011
The RESULTS PAGE lists results
obtained in REGS toward or related to the problems proposed. For basic
terminology not given on problem pages, see the
Glossary.
Problems presented in Summer 2010
The RESULTS PAGE lists some
of the results obtained in REGS toward or related to the problems proposed.
The Louisville group prepared pdf writeups of 16
problems in a single file. A few of these problems also appear above.
Problems presented in Summer 2009
The Louisville group has prepared pdfs of their problems:
Summary 1,
Summary 2
Problems presented in Summer 2008
The Louisville group has prepared pdfs of their problems:
Summary 1,
Summary 2,
Summary 3
Selected problems presented in Summer 2007
There were almost 40 problems presented in Summer 2007; some appear here.