| Saturday, May 15, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Voting and its Discontents", Vivek
Shende, Dept. of Math., Princeton University. |
| Saturday, May 8, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Knots -- why we love them (a gentle
introduction to the theory of knots)", Margaret Doig,
Dept. of Math., Princeton University. |
| Saturday, May 1, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - Problem Solving Session, Instructors: Ilya Vinogradov and Alison Miller, Dept. of Math, Princeton University.
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| Saturday, April 24, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Apollonian Circle Packings: Part II", Elena Fuchs, Dept. of Math., Princeton University. |
| Saturday, April 17, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Algorithms for Sorting and Searching", Professor Avi Wigderson, H. Maass Distinguished Professor at the School of Math, Institute for Advanced Study. Abstract: Assume you have n sealed envelopes on the table, each containing some
secret number. In every step, you can perform a "comparison": you point
to two of the envelopes, and get as an answer which of the two contains
a bigger number, or if the two are equal. Given the answer you can
decide on another comparison, etc. Such a sequence of steps is a
comparison algorithm. - Problem Solving Session, Instructor: Alison Miller, Dept. of Math, Princeton University.
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| Saturday, April 10, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Apollonian Circle Packings: what are they and why are they amazing", Elena Fuchs, Dept. of Math., Princeton University. |
| Saturday, April 3, 2010 |
NO CLASS (Closed for Spring Break) |
| Saturday, March 27, 2010 |
NO CLASS (Closed for Spring Break) |
| Saturday, March 20, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Being Continuous Discretely," Slater Stitch, Princeton University. - Problem Solving Session, Instructor: Adam Hesterberg, Dept. of Math, Princeton University.
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| Saturday, March 13, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Representing powers of numbers as subset sums of small sets", David Moulton, Center for Communications Research, Princeton University. Abstract: At the 1997 West Coast Number Theory Conferenceat Asilomar, Gerry Myerson asked the following question: Is there a set $B$of $n$numbers, such that each power of $2$from $1$to $2^n$is the sum of the elements of some subset of $B$? We give the surprising answer to this question and discuss the general problem of how large a set must be for its subset sums to include some set of powers of a particular integer. - Problem Solving Session, Instructor: Ashwath Rabindranath, Dept. of Math, Princeton University.
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Saturday, March 6, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "P-adics: Another Look at the Integers", Kevin Hughes, Graduate Student, Dept. of Math., Princeton University - Problem Solving Session, Instructors: Alison Miller and Aaron Pixton, IMO Gold Medalists, Athens, Greece, 2004, Dept. of Math., Princeton University.
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| Saturday, Feb. 27, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Mathematical Magic of Black Holes," Prof. Sergiu Klainerman, Dept. of Math., Princeton University - Problem Solving Session, Instructors: Ashwath Rabindranath and Aaron Pixton (IMO Gold Medalist, Athens, Greece, 2004), Dept. of Math., Princeton University. |
| Saturday, Feb. 20, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Surreal Numbers," Prof. John H, Conway, John von Neumann Distinguished Professor of Mathematics, Dept. of Math., Princeton University - Problem Solving Session, Instructor: Alison Miller (IMO Gold Medalist, Athens, Greece, 2004), Dept. of Math., Princeton University.
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Saturday, Feb. 13, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "The Kakeya Needle Problem," Prof. Charles Fefferman, Dept. of Math., Princeton University Abstract: Call a region E in the plane "big enough" if a needle of length 1 meter
can be turned through a full 360 degrees without ever leaving E. The
original Kakeya Needle Problem is to find the least possible area of a
"big enough" region E. This talk explains the problem and its counterintuitive solution. If time permits, the talk will describe several related problems. - Problem Solving Session, Instructors: Aaron Pixton (IMO Gold Medalist, Athens, Greece, 2004) and Ashwath Rabindranath, Dept. of Math., Princeton University.
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| Saturday, Feb. 6, 2010 |
NO CLASS (Due to inclement weather) |
| Saturday, Jan. 30, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Graph Containment and Planar Graphs," Adam Hesterberg (Winner, 16th International Math Competition (IMC), Budapest, Hungary, 2008 / Winner, International Linguistics Olympiad, St. Petersburg, Russia, 2007 / Scored top marks at USMO, 2007 / US National Champion, MATHCOUNTS, 2003), Dept. of Math., Princeton University Abstract: What should it mean for one graph to "contain" another? We
- "Graph Theory: 4 Color Theorem," Bianca Ray Avalani - Problem Solving Session, Instructors: Ilya Vinogradov and Ashwath Rabindranath, Dept. of Math., Princeton University. |
| Saturday, Jan. 23, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Ramsey Theory: Order in Chaos," Prof. Avi Wigderson, H. Maass Distinguished Professor at the School of Math, Institute for Advanced Study, 2009 Godel Prize and 2008 Conant Prize Winner. Abstract: Consider the following statements:- Among any three people, at least two have the same gender. - Among any six people, there must be three who are mutual acquaintances, or three mutual strangers. - If a 101 people are standing in line, at least 11 of them are ordered by height (either increasing or decreasing). - In any way you color every integer either Red or Blue, there must be an arithmetic progression of length a million, which members are all colored Red or all colored Blue. All statements above are theorems from "Ramsey Theory" (named after the British logician Frank Ramsey) showing roughly that in various "large enough" complex structures, there must always be a smaller part which is very "organized". We'll get a taste of this beautiful theory with examples, proofs, games and bounds on just how large is "large enough" (which in some cases is eeeenormous). - "Fractals - Part II," Bianca Ray Avalani - Problem Solving Session, Instructor: Alison Miller (IMO Gold Medalist, Athens, Greece, 2004), Dept. of Math., Princeton University. |
| Saturday, Jan. 16, 2010 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Tiling the Plane," Prof. Anna Wienhard, Dept. of Math, Princeton University - "Fractals - Part I," Bianca Ray Avalani - Problem Solving Session, Instructors: Alison Miller and Aaron Pixton (both IMO Gold Medalists, Athens, Greece, 2004), Dept. of Math., Princeton University. |
| Saturday, Dec. 19, 2009 |
NO CLASS (Due to inclement weather) |
| Saturday, Dec. 12, 2009 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "The Language of Modern Mathematics -- Group Theory - Part II," Sam Ruth, Dept. of Math., Princeton University - Problem Solving Session, Instructor: Alison Miller, Dept. of Math., Princeton University. |
| Saturday, Dec. 5, 2009 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "The Language of Modern Mathematics -- Group Theory - Part I," Sam Ruth, Dept. of Math., Princeton University. - AMC-8 Review, Bianca Ray Avalani. - Problem Solving Session, Instructors: Alison Miller, Dept. of Math., Princeton University, (Advanced Session). |
| Saturday, Nov. 28, 2009 |
NO CLASS (Thanksgiving Holiday) |
| Saturday, Nov. 21, 2009 2:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
NO CLASS (AMC-8 Exam) |
| Saturday, Nov. 14, 2009 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Graph Theory," Alexandra Ovetsky, Dept. of Math., Princeton University - Problem Solving Session, Instructors: Andrei Jorza and Aaron Pixton, Dept. of Math., Princeton University. |
Saturday, Nov. 7, 2009 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Diophantine Equations," Maria Nastasescu, Dept. of Math., Princeton University - Problem Solving Session, Instructors: Maria Nastasescu and Alison Miller, Dept. of Math., Princeton University and Bianca Ray Avalani. |
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Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540
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Agenda / Speaker(s): - "Sums of two squares," Stefan Patrikis, Dept. of Math., Princeton University - Problem Solving Session, Instructors: Adam Hesterberg and Ilya Vinogradov, Dept. of Math., Princeton University and Bianca Ray Avalani. |
Saturday, Oct 24, 2009 1:00 - 4:00 pm Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
Agenda / Speaker(s): - "Generating Functions," Prof. Andrei Okounkov, Dept. of Math., Princeton University - Problem Solving Session, Instructors: Alison Miller and Andrei Jorza, Grad. Students, Dept. of Math., Princeton University - Problem Set |
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Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540
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Agenda / Speaker(s):
- “Finite Fields: one can't double the cube or trisect the angle with ruler and compass," Prof. Charles Fefferman, Dept. of Math., Princeton University Abstract: This talk explains why it's impossible to trisect an angle using only compass and straightedge.
- Problem Solving Session, Instructors: Ilya Vinogradov, Ph. D. Student, Adam Hesterberg, Undergraduate Student, Dept. of Math., Princeton University and Bianca Ray Avalani. |
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Rm. 314, Fine Hall at Princeton University, Washington Road, Princeton, NJ 08540 |
- “Some infinities are bigger than the others," Slater Stich, Princeton University - Problem Solving Session, Instructors: Andrei Jorza and Boris Alexeev, Ph.D. Students, Dept. of Math., Princeton University.
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Rm. 314, Fine Hall at Princeton University Washington Road, Princeton, NJ 08540
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Inauguration Day Agenda / Speaker(s): - Welcome Message - Bianca Ray Avalani - "Numbers and Games," Prof. John H. Conway, John von Neumann Distinguished Professor of Mathematics, Dept. of Math., Princeton University - Problem Solving Session, Instructors: Ilya Vinogradov and Alison Miller, Ph.D. Students, Dept. of Math., Princeton University, and Bianca Ray Avalani |
Directions to Fine Hall: From US 1 south, make a right on Washington Road. Drive past the soccer field on the right, followed by the Carnegie Lake. After the first light, the stadium will be on the right, followed by the Fine Hall building. Parking for Fine Hall: Cars can be parked at any metered parking on the campus. |
http://www.princeton.edu/~pumap/ (Select "Academic" and "Fine Hall" on the drop down menus to see the location of the building in the interactive campus map)
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Practice Problem Sets: |
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