In Fall 2011, Breuillard, Green, and Tao worked on the structure of approximate groups. Here are two such results, one from each program. (See the program reports in the Appendix.) Choosing one or two results from a long list of exciting results is always difficult. Both programs had striking results to report. Another fourteen (14) researchers, Emmanuel Breuillard, Maryanna Csornyei, Ursula Hamenstaedt, Gideon Schechtman, Mireille Bousquet-Mlou, Curtis McMullen, James Propp, Dana Randall, Steffen Rohde, Vladas Sidoravicius, Maria Eulalia Vares, Assaf Naor, Shmuel Weinberger, and Peter Winkler, were funded by MSRIs Eisenbud Endowment and by a grant from the Simons Foundation. Colding and Lawler are also fellows of the American Academy of Arts & Sciences. Lawler, known as the world leading authority on random walks, received, jointly with Schramm and Werner, the 2006 Plya Prize and was referenced in the citation for Werners Fields Medal. Kenyons work and achievements were internationally recognized when he received the Love Prize. Johnson, in recognition of his outstanding achievements in mathematical sciences, was awarded the 2007 Stefan Banach Medal by the Polish Academy of Sciences. Colding (jointly with Bill Minicozzi) was awarded the 2010 Oswald Veblen Prize in Geometry (by the American Mathematical Society) for his profound work on minimal surfaces. Ball was recently elected as the Scientific Director of the International Center for Mathematical Sciences in Edinburgh. Five (5) of them, Keith Ball, Tobias Colding, William Johnson, Richard Kenyon, and Gregory Lawler, were generously funded by the Clay Mathematics Institute ($90,000). These two programs were very popular, and their workshops well attended. We held two (2) one-semester jumbo programs: Quantitative Geometry and Random Spatial Processes. 1.1 New Developments The year 201112, was another busy and exciting year at MSRI. Overview of Activities This annual report covers MSRI projects and activities that occurred during the second year, 201112, of the NSF core grant DMS #0932078. Metric Measure Spaces: Geometric and Analytic Aspectsġ. 632: Seminaire de Mathematiques Superieures 2011. 598: Toric Varieties in Cortona, Italy No. 597: IAS-PCMI Summer School on Moduli Spaces of Riemann Surfaces No. 590: The Dirichlet Space: Connections between Operator Theory, Function Theory, and Complex Analysis No. 588: Cluster Algebras and Cluster Combinatorics No. 576: Geometric Measure Theory and Applications No. 678: Circle on the Road Spring 2012 Summer Graduate School Reports No. 675: Critical Issues in Mathematics Education 2012: Teacher education in view of the Common Core No. 652: Hot Topics: Thin Groups and Super-strong Approximation No. 619: Statistical Mechanics and Conformal Invariance No. 617: Introductory Workshop: Lattice Models and Combinatorics No. 616: Connection for Women: Discrete Lattice Models in mathematics, physics, and computing No. 615: Quantitative Geometry in Computer Science No. 614: Embedding Problems in Banach Spaces and Group Theory No. 613: Probabilistic Reasoning in Quantitative Geometry No. 612: Introductory Workshop on Quantitative Geometry No. 611: Connections for Women: Quantitative Geometry No. 283: Complementary Program 2011-12 Workshop Reports No. 82 5.1 Description of Undergraduate Program. Undergraduate Program (MSRI-UP) (NSF Grant DMS-1156499). 71 3.6 Postdoctoral Research Member Summary. 68 3.5 Postdoctoral Research Member Placement List. 67 3.4 Postdoctoral Fellow Demographic Data. 66 3.3 Postdoctoral Fellow Participant Summary. 34 3.2 Postdoctoral Fellow Placement List. 23 2.8 Program Publication Work-In-Progress List. 19 2.6 Workshop Participant Demographic Data. 15 2.3 Program Participant Demographic Data. Circle on the Road 2012 (NSF Supplement Grant DMS-1118532). Critical Issues in Mathematics Education 2012: Teacher education in view of the Common Core (NSF Supplement Grant DMS-1118532). 10 1.5 Summer Graduate Schools (Summer 2011). 8 1.4 Scientific Activities Directed at Underrepresented Groups in Mathematics. 6 1.3 Scientific Programs and their Associated Workshops. 1 1.2 Summary of Demographic Data for 201112 Activities. Mathematical Sciences Research Institute Annual Report for 20112012 1. Annual Progress Report on the Mathematical Sciences Research Institute 20112012 Activities supported by NSF Grant DMS-0932078 May, 2013
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And yet, none of it costs more than $20 (and a lot of these gifts cost less than $10). Most of them allow teenagers to personalize their spaces, explore their interests, express their style, connect with friends and even play with toys and games a little bit (in a totally mature, almost-adult way, of course). These are our favorite stocking stuffers for teens, including Good Housekeeping Institute favorites, editor's picks and best-sellers. (And yes, you can find some tech toys for them in this price range, too!) But whether you're looking for a small gift for teen boys or teen girls, finding stocking stuffers for teens lets you be fun and creative. Sure, you're no longer in the toddler stocking stuffer days, when you could hand them a cheapo stuffed animal and watch them play with it (and the wrapping paper it came in) with a big smile. While we're sure a new phone or tablet would put a gleam in their eyes, we've found that they're just as likely to be delighted by the little things, too. Teens get a bad rap when it comes to present-buying, and they also have a reputation for wanting really expensive tech gear. Could it get much worse? Yep, the whole sorry affair is caught on the newly installed school cameras. Shocked, Ani tells him she can’t fix this and runs off. Clay runs into the dance, covered in fake blood, holding a fake knife and tells Ani he doesn’t know what happened. Diego tells Clay they own him because anyone who freaks out like that over a prank is hiding something. The problem is, they all seem to have Monty’s phone. A highly-distressed Clay points the knife at them and demands they hand over Monty’s phone. The football team shows up and surrounds him. Clay tries frantically to stop the bleeding, but since, in reality, it’s just a CPR dummy he can’t do anything. As instructed, he then goes out to the football field, brandishing the knife and sees Monty’s bloodied body lying in the middle of the field. Clay hastily turns on the water to clean it away and, in his mind, sees blood gushing out instead. When Clay looks in the locker room showers, he sees red paint (resembling blood) everywhere and a knife on the floor. Once there, whoever is on the other end of the call talks Clay through an imagined scenario where he’s in prison showers, looks down and sees his own blood. The caller has him leave the dance and go to the showers. On the dance floor, Clay and Ani are slow dancing when his phone rings. Of course, the phone Clay finds there isn’t Monty’s and the caller(s) tell him if he answers their call that night at the dance, he’ll get Monty’s phone. The caller(s) tell Clay he can have Monty’s phone and everything on it, all he has to do is go and get it from H.O.’s headquarters. The caller knows he told Ani and tells Clay they can prove that she wasn’t with him the night Bryce died. Clay now has no choice but to tell Ani what’s been going on. He immediately calls the number back, following the sound of ringing to the wrong person. Later, after he gets his s- together enough to ask Ani to the dance, someone sends him a picture of himself at that exact moment. Clay has five minutes to do this so provokes Zach into punching him in the stomach repeatedly. At one point they call him, demand that he picks a fight and doesn’t fight back. Whoever it is wants Clay to do exactly what they say or they’ll go public with proof that Monty is innocent. (Remember, Alex's dad knows the truth about Bryce's death.) It sure seems like Tyler might not be telling Clay everything, and Clay seems to suspect it.Ĭlay suspects Winston is behind it at first. Wildly, he thinks the cops bought it and adds that Alex’s dad was there to help him out. Tyler told the sheriff he did indeed buy that bag, but it was stolen from him. When Ty returns, he tells Clay they found the bag of guns he disposed of, but they couldn’t trace the guns to him, only the bag they were in. Clay drives Tyler there and waits outside while he goes in. He’s been asked to go in and talk to the sheriff. You gotta feel for those parents! Their concerned probing is put on hold when Tyler calls Clay. (Remember last season when Alex killed Bryce and the gang got together to frame Monty for it since he was going to prison anyway for sexually assaulting Tyler? That was a loaded sentence.) Clay thinks he’s hiding his anguish from his parents but they definitely know something’s up. He’s having nightmares that Monty is still alive and pissed he’s been set up for murder. It’s the holiday season and the neighborhood is all lit up and pretty but Clay is in a dark place.
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