Chapter 5: Quasi-polynomial Freiman–Ruzsa Adam Sheffer May 3, 2016 1

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Chapter 2: The Sum-Product Problem Adam Sheffer April 7, 2016 1

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Chapter 7: Lines in R3 Adam Sheffer May 3, 2015 In the previous chapter we studied how the distinct distances problem can be reduced to a problem involving intersections of lines in R3 (namely, using the ElekesSharir-Gut

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Chapter 6: The Elekes-Sharir-Guth-Katz Framework Adam Sheffer April 23, 2015 “By the way, in case of something unexpected happens to me (car accident, plane crash, a brick on the top of my skull) I definitely ask you t

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Eurographics Symposium on Geometry ProcessingKonrad Polthier, Alla Sheffer (Editors) A C2 Polar Jet Subdivision K. Karˇciauskas0 and A. Myles1 and J. Peters †1 0

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• Interpolation
• Multivariate interpolation
• Mathematical analysis
• 3D computer graphics
• Smooth functions
• Mathematics
• CatmullClark subdivision surface
• Computer-aided design
• B-spline
• Bzier curve
• Subdivision surface
• Spline

Chapter 4: Constant-degree Polynomial Partitioning Adam Sheffer May 1, 2015 In this chapter we present a different way of deriving incidence bounds by using polynomial partitioning. This method yields slightly worse boun

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PRECEDENTIAL UNITED STATES COURT OF APPEALS FOR THE THIRD CIRCUIT NoGOLDMAN, SACHS & CO., SCOTT T. SHEFFER, and

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Chapter 5: The Joints Problem Adam Sheffer April 21, 2015 In some sense the topic of this course originated from a paper by Guth and Katz [3], in which they used polynomial methods to solve two problems. One of these pro

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Chapter 1: A Taste of Classical Discrete Geometry Adam Sheffer April 16, 2015 “My most striking contribution to geometry is, no doubt, my problem on the number of distinct distances. This can be found in many of my pap

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Chapter 2: Basic Real Algebraic Geometry Adam Sheffer April 15, 2015 “Every field has its taboos. In algebraic geometry the taboos are (1) writing a draft that can be followed by anyone but two or three of one’s clos

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