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Duke University News May 10, 2005

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Duke University News May 10, 2005 MathDuke University News May 10, 2005 Mathematics since 1978, she has been a major Events participant in Calculus reform, and has been very active in the Women in Science and Engineering Math Department Party (WISE) program.This program o ers academic, nancial and social support to female undergrad- A large group of undergraduate and gradu- uate students in those elds. ate students mixed with the faculty at the an- nual mathematics department party on April 28. Jordan Ellenberg On the day after classes ended, members of the Duke mathematical community packed the de- In a March 1 talk scheduled by DUMU, Jordan partment lounge to enjoy sandwiches and con- Ellenberg of Princeton University and the Uni- versation in an informal setting. This party is the versity of Wisconsin gave an enjoyable talk relat- traditional occasion for the faculty to honor the ing the card game Set to questions in combinato- graduating students, contest participants and re- rial geometry. A dozen DUMU students enjoyed search students for their hard work and accom- chatting with him at dinner after his talk. plishments. Many math majors received the Set is a simple but addictive card game played 2005 Duke Math shirt, some received certi cates with a special 81-card deck. A standard "folk- and a few took home generous cash prizes. A lore question" among players of this game is: good time was had by all. what is the largest number of cards that can be on the table which do not allow a legal play?He Graduation Luncheon explained how this question, which seems to be At noon, immediately after Graduation Exer- about cards, is actually about geometry over a - cises on Sunday May 15, senior math majors nite eld.He presented several results and ended and their families will meet in the LSRC dining with a number of open mathematical problems room. In a short ceremony after lunch, those arising from this study. whose rst major is mathematics will receive Jordan Ellenberg received his bachelor's and their diplomas. doctorate at Harvard University. He won two Undergrad Math Colloquia gold medals in the International Mathematics Olympiad and was twice a Putnam Fellow.More recently, he has received a Sloan Fellowship and Dusa McDu an NSF-Career grant. On January 31, Dusa McDu , a mathematics His research concerns arithmetic algebraic ge- professor at SUNY Stony Brook, gave a collo- ometry. He writes an occasional column on quium aimed at the level of math majors entitled mathematics for Slate magazine and has pub- "4-dimensional polytopes and Symplectic Topol- lished the novel "The Grasshopper King." ogy".After this talk, several math majors took High School Math Meet her out to a leisurely dinner. Dusa McDu earned her Ph.D.in 1971 at Cam- On Saturday, October 30, the Gross Chemistry bridge University. She then studied with Israel Building was the site of the annual Duke Univer- M. Gel'fand in Moscow, who taught her to view sity High School Mathematics Meet.At double math as a kind of poetry and whose work greatly the attendance of ve years ago, 164 students in uenced her own. from schools as far as 300 miles away came to At the State University of New York at Stony compete for the prizes that were given to the top Brook, where McDu has been Professor of individuals and schools. 1 Duke Math News May 10, 2005 The top two individual winners were Thomas a Princeton graduate student, nished second. Mildorf and Menyoung Lee, both of Thomas Jef- In 2003, Ms. Wood became the rst U.S. woman ferson High School in Alexandria, VA. Their high and only the second woman in the world to be school nished rst in the team competition as named a Lowell Putnam fellow after nishing in well.Third place individual prize went to Arnav the top ve in the competition. Tripathy of East Chapel Hill High School with On Saturday December 4, 2004, a record 3733 fourth place to Je Tang of NCSSM and fth place participants from 515 colleges and universities to John Pardon of Durham Academy. in the United States and Canada spent six hours The meet is an annual event sponsored by the working on 12 challenging math problems. Less Duke Math Union (DUMU), currently presided than half of the participants were credited with over by Duke senior Oaz Nir.Many thanks go to even one point out of 120. him and meet organizers Paul Wrayno, Michelle For completing 7 of the 12 problems, Niki- Hu, Nikifor Bliznashki, Keigo Kawaji, and Jackie for Bliznashki '07 ranked 17th and Oaz Nir '05 Ou for their outstanding contribution to the and Lingren Zhang '08 were named honorable Duke community. mention for nishing among the top two per- cent. Freshmen Kshipra Bhawalkar and Tirasan Duke Summer Workship on Undergraduate Khandhawit were among the top 100 and sopho- Research in Mathematics mores Brandon Levin and James Zou ranked among the next 100. Morgan Brown '07, Abhijit The summer workshop, which will be held May Mehta '06 and Jason Shapiro '06 were also cited 18-27, 2005, is intended for rising seniors who for strong showing. Of the 22 Duke students who are interested in graduate study in applied math- took the competition, 17 ranked among the top ematics. The topic for this year's workshop is third of all participants. "Mathematical models of granular ows." The The Math Department will receive $15,000 for models will describe the dynamics of granular this third place nish. A Duke team has nished material (e.g., sand, powders, grains, rocks, soil, rst, second or third 10 times since 1990 and etc.) in terms of algebraic or di erential equa- has nished among the top ten for all but two tions for the mechanics of colliding particles. of those years. Over the course of the workshop, the organizers will develop models involving ordinary di eren- tial equations for the motion, analyze models to Mathematical Contest in Modeling understand their mathematical and physical im- In an international competition, held Febru- plications, and conduct numerical and physical ary 4 through 7, 2005, a team of three Duke stu- experiments to validate the models. The stu- dents won an Outstanding rating in the Math- dents will work on small research projects re- ematical Contest in Modeling (MCM). The con- lated to the topic, and will present their results test is held annually, drawing entries from about near the end of the program. 750 colleges, universities, and high schools from around the world.This was one of two teams in- vited by the Mathematics Association of America Undergraduate News present their results at the summer meetings of the MAA in Albuquerque NM this August. Putnam Competition Success Juniors Adam Chandler, Pradeep Baliga, and Matthew Mian worked all weekend to construct For the fth time in six years, a team of three mathematical models of trac ow on a toll Duke students placed third in the annual William road, and to determine the optimal number of Lowell Putnam mathematical competition. In lanes for a toll plaza. In their 50 page pa- 2000 the Duke team came in rst. MIT won per, "The Booth Tolls for Thee," they describe this year's competition for the second year in a and analyze sophisticated simulations based on row. Princeton, coached by Melanie Wood T'03, queuing theory and cellular automata. After 2 Duke Math News May 10, 2005 subjecting their simulations to rush hour condi- 2005.He plays cello in the Duke symphony or- tions on I-95, they concluded that the number of chestra and has been a Duke tour guide. booths should be approximately 1.65 times the For more information, see www.act.org/ number of travel lanes plus 0.9, so as to mini- goldwater/ mize the time cost to impatient drivers and the Karl Menger Award expense of operating the booths. Four other teams from Duke competed in the Nikifor Bliznashki '07, Oaz Nir '05 and Lingren contest.Three of those teams earned the sec- Zhang '08 have won the 2005 Menger Award for ond highest rating of Meritorious in the MCM: their excellent ranking in the 2004 the Putnam Brandon Levin '07, Matthew Fischer '06, and competition.Each student gets $250 in addition Nikifor Bliznashki '07;Abhijit Mehta '06, Ben- to the $600 for their third place nish. Bliznashki jamin Mickle '06, and Ibraheem Mohammed '07; and Nir received this award in 2004 as well. As James Zou '07, Oaz Nir '05, and Rahul Satija top Putnam scorer in the Southeast region, Bliz- '06.The remaining team competed in the Inter- nashki has been awarded $100 from the South- disciplinary Contest in Modeling (ICM), a new east Section of the Mathematical Association of division in the contest.The team of Vyacheslav America. Zhang, a rst year student from Shang- Kungurtsev '07, Qinzheng Tian '06, and Aaron hai, will receive an additional $250 for winning Wise '08 was Duke's rst to compete in the ICM, the Virginia Tech Math Contest in October 2004 and they earned a rating of Honorable Mention. and Nir will collect $200 for nishing third. Duke has a long record of success in the MCM, Karl Menger (1902-1985), a member of the Vi- which requires teams of three students to solve enna Circle of Logical Positivism that ourished an open-ended problem in applied mathemat- around 1930, was a renowned mathematician ics. Teams have about four days to research the who made signi cant contributions to areas of problem, come up with a solution, and write a logic, philosophy and economics as well as math- paper.
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