The Math Departmental Undergraduate Group (DUG) is a group of undergraduate students who enjoy math and want to take part in the mathematical community at Brown. We help math enthusiasts at Brown form a cohesive community and sponsor events that help to get more people interested in math. Primarily, we present accessible, fun math talks by people in the department — professors, grad students, and often undergraduates — where you can learn about some aspects of math that you don't normally see in class. These talks occur about every two weeks. The Math DUG also hosts the annual SUMS conference in the spring, an opportunity for undergraduates at Brown and from all around the Northeast to present mathematical research they've done.
You don't have to be a math concentrator, or even be taking math classes, to participate in the Math DUG  anyone who is curious about mathematics is welcome and encouraged to come!
 The Math DUG holds a weekly tea every Friday from 45pm in Kassar 105
 On Wednesday 12/7 at 4pm in Kassar 105, Erika Roldan will be giving her talk "The Mutando of Insanity"
Abstract:
Puzzles based on coloured cubes and other coloured geometrical figures have a
long history in the recreational mathematical literature. One of the most
commercially famous of these puzzles is the Instant Insanity that consists of
four cubes. Their faces are coloured with four different colours in such a way
that each colour is present in each one of the four cubes. To solve the puzzle,
one needs to stack the cubes in a tower in such a way that each one of the
colours appears exactly once in the four long faces of the tower. In this talk we are going to study the combinatorial richness of a mathematical
model of this puzzle by analysing all possible ways of colouring the cubes to
form a puzzle analogous to the Instant Insanity. We have done this analysis for
$n$ cubes and $n$ colours for $n=4, 5, 6$. This combinatorial analysis allowed
us to design the Mutando of Insanity, a puzzle that we presented at Gathering
for Gardner 12 (G4G12).
Past DUG Events
Past DUG talks On Thursday, 9/22 Professor Tarik Aougab will gave a talk entitled "Big Numbers"
 On Thursday 9/29 Professor Allen Wu gave a talk entitled "Stellar Structure and Nonlinear Elliptic Equations"
 On April 12th, 2016 Cliff Stoll have a talk about his glass Klein bottles. You can see (or buy) some of Cliff's work here.
 On April 7th, 2016 Professor Tarik Aougab gave a talk entitled "Building (Hyperbolic) 3Manifolds"
 Professor Rich Schwartz: "The triangular bipyramid and power law potentials"
 David Lowry presented "Quadratic Functions to Modular Functions" on Wednesday, April 24th.
 Professor Michael Rosen gave a talk titled "A Beautiful but Little Known Theorem of Evariste Galois," on Thursday, April 18th. For more information on the life of Galois, Professor Rosen recommended Whom the Gods Love by Leopold Infeld. David Cox's book, Galois Theory, was also recommended for additional reading. Professor Rosen's notes are here.
 Robin Koytcheff gave his talk, "Loop Spaces, Associahedra, and Little Cubes," on Tuesday, April 16th.
 Professor Chris Kottke gave a talk titled, “The BanachTarski Paradox, or Why 1 = 2,” on Friday, February 22. The Pea and the Sun by Leonard Wapner and The BanachTarski Paradox by Stan Wagon were suggested for further reading.
 Dan Parker and Ben LeVeque gave a talk on LaTeX on Thursday, February 14. Some useful references and resources for learning LaTeX are below.
 The LaTeX Wikibook, a free online textbook that explains all aspects of LaTeX.
 Recommended LaTeX editors are MiKTeX for Windows, TexShop for Mac, and vimlatexsuite for Linux.
 Reference cards, which concisely list the most common commands and their functions are on Prof. Silverman's website (scroll down).
 Detexify: a website that will tell you the LaTeX command for the symbol you draw. Also an app for iOS or Android.
 A template for doing assignments in LaTeX.
 Even more resources are on our Links and Resources page.
 Yilong Yang gave a talk on tournaments on Thursday, Oct 4. His notes are here.
 Spencer Gordon and Nicholas Lourie gave an intro to proofs and higher mathematics. Their notes are here.
Do you...
 Need advice about which math course to take?
 Want us to send out an announcement about your mathrelated event or opportunity?
 Want to give a talk for the DUG?
 Have any suggestions for DUG events we should hold?
 Want to know how to get involved with the DUG?
 Want to know what makes math so great?

