Yufei zhao mit. I am a PhD student in the Department of Mathematics at MIT.

Yufei zhao mit The University of Chicago Department of Mathematics presents a talk by Yufei Zhao (MIT) titled "Equiangular Lines and Eigenvalue Multiplicities. Hung-Hsun Hans Yu. Introduction and linearity of expectations A1 Trinity Training 2011 Power of a Point Yufei Zhao 4. Geometric and Functional Analysis, 31(5), 1160-1218. This course is based on another course taught by Larry Guth at MIT in Fall 2012. Donner MIT students dominate the Putnam Math Competition once again! 🍾 - Top five winners (Fellows) all come from MIT, including: - 3rd time Fellow for Experience: Massachusetts Institute of Professor Yufei Zhao, who took 18. 7 months ago # QUOTE 7 Good 4 No Giod! Economist Prof. October 30: Yufei Zhao, A quasi-polynomial bound for the Freiman-Ruzsa theorem. Teaching assistants: Pro Pakawut Jiradilok and Morris Jie Jun Ang Please include “18. We describe the construction of Specht modules which are irreducible representations of Sn, and also highlight some interesting results such as the branching rule and Young’s rule. of Math. DownloadThis package contains the same content as the online version of the course, except for the audio/video materials. Linear algebra tricks for the Putnam - MIT UMA Putnam Talk; Combinatorics. Address: 2005 Songhu Road, Shanghai, China. Winter Camp 2008 Inequalities Yufei Zhao Inequalities Yufei Zhao yufeiz@mit. Sign up to receive news and updates from MIT Industrial Liaison Program Sign up. Independent Sets Let G = (V,E) be a graph. He also fills the roles of several people who are retired. Class meetings: Mondays and Wednesdays 10–11am (Note time change) Instructor: Yufei Zhao (see link for contact info) Assistants: Dain Kim and Daniel Zhu Please include “18. Ren and Zhao also earned the Putnam Fellow distinction, which carries a $2,500 prize, for finishing in the top five. (transitivity) If x yand y z, then x z. IMO Training 2007 Lemmas in Euclidean Geometry Yufei Zhao Lemmas in Euclidean Geometry 1 Yufei Zhao yufeiz@mit. From left are Junyao Peng, Yunkun Zhou, Sammy Luo, Allen Liu, Jiyang Gao, Ashwin Sah, and Omer Cerrahoglu. Let AB and CD be two segments, and let lines AC and BD meet at X. edu Office: 2-371 Class times: MWF 2-3, 2-151. Fall 2019, MIT (Link to the most current version of the course). (Article in MIT News) Interview with Yufei Zhao Tou k Mansour Yufei Zhao received his Ph. " Annals of Mathematics, 194 (3). 194 (2021), 729–743. “This was unprecedented,” says Yufei Zhao, Class of 1956 Career Development Assistant Yufei Zhao at MIT in Fall 2019. Class meetings: Tuesdays and Thursdays 1–2:30pm in 2-135 Lecturer: Yufei Zhao (see website for contact info). [Edited to Add I’m happy to announce a new paper titled Joints tightened coauthored with Hung-Hsun Hans Yu, an undergraduate student at MIT. Joints of varieties (with Hung-Hsun Hans Yu and Yufei Zhao) Geom. In this paper, we determine the tight constant in the joints problem. March 01, 2024. Yufei Zhao received his PhD from MIT in 2015. Construction of the symmedian. Yufei Zhao’s Post Yufei Zhao Associate Professor of Mathematics at MIT 7mo Report this post Congratulations to MIT. (a) Let n be a positive integer. Learning Resource Types assignment Problem Sets. Your story matters. The essence of the approach is to show that some combinatorial object exists and prove that a certain random construction works with positive probability. Citation: Zhao, Yufei. The dilation centered at G with ratio 2 takes M to A, and Winter Camp 2009 Cyclic Quadrilaterals Yufei Zhao Cyclic Quadrilaterals | The Big Picture Yufei Zhao yufeiz@mit. Contents 1 Introduction 2 Fall 2018, MIT (Link to the most current version of the course). Current price: $69. I am supported by a Hertz Graduate Fellowship and the NSF Graduate Research Fellowship Program. Let M be the midpoint of BC. This technique is often called \double counting. October 28: Charles River Lectures on Probability Theory and Related Topics in E51 MIT Tang Center. B. INTRODUCTION Selected publications. edu We will use Z[x] to denote the ring of polynomials with integer coe cients. Supervised Program for Alignment Research Mar2023–Aug2023 seems like he posted on ejmr and the reddit thread at the same time, updating us on yufei’s current employer 1 month ago # QUOTE 0 Good 0 No Giod ! Economist Yufei Zhao. 7 months ago # QUOTE 4 Good 13 No Giod! Economist Scholes. Let ABC be a triangle and its circumcircle. For anyone interested in the seminal ideas (and their interrelationships) of recent decades - pseudorandomness, graphons, graph regularity, to name a few - this is the book to read and savor. Note:In spectra plots, the matrices de-meaned and normalized. Yeah, Jeremy Hahn is more impressive. Professor Yufei Zhao (left) stands with his Putnam Seminar undergraduate assistants sophomore Tomasz Ślusarczyk (center) and senior Dain Kim, both of whom also took the class as first-years. Probability and Statistics. Articles Cited by Public access Co-authors. 225 Graph Theory and Additive Combinatorics Fall 2023 Yufei Zhao (MIT / Cambridge) Abstract: We prove a conjecture of Alon on the number of independent sets in a regular graph, and then generalize to graph homomorphisms. edu Visiting time:2019. Professor Yufei Zhao, who took 18. co_present You are leaving MIT OpenCourseWare close. Verified email at mit. 99 Publish Date: November 2nd, 2023. MIT OpenCourseWare https://ocw. Class meetings: Mondays and Wednesdays 1–2pm in 4-149 Instructor: Yufei Zhao (see link for contact info) Please include “18. Equiangular lines N(d) = max # of lines in Rd with pairwise equal angles N(2) = 3 Nitya Mani. Virginia Vassilevska Williams and delving into combinatorics with Prof. edu Lec 1, 9/7: Yufei Zhao yufeiz@mit. Winners included Ashwin Sah, Shengtong Zhang, Yuan Yao, Yunkun Zhou, Junyao Peng, and Danielle Wang. He then takes the class on a tour of Prof. Inventiones mathematicae, 221(2), 665-711. Stay Fall 2022, MIT (Link to the most current version of the course). I’m delighted to showcase and celebrate a selection of recent papers by the talented combinatorialists at MIT, especially those by students and postdocs. Office hours: M 2:45-3:45pm & TR 2:30-3pm in 2-271. Middle matters less. Prove that any complex zero of the polynomial satis es jzj 1. My policy is to not answer by email any math questions related to the class, due to time constraints and also Winter Camp 2009 Cyclic Quadrilaterals Yufei Zhao Cyclic Quadrilaterals | The Big Picture Yufei Zhao yufeiz@mit. Instructor Interview. MIT could do better. Time and Location: Please check the Google calendar below for the definitive schedule. Annals of Mathematics 194 (2021), pp. 729-743. Hepublishedaround1,500papersduringhislifetime, andhadmorethan500 Instructor Interview. In this lecture, we will explore one such con guration. Primary DLC. Sah, Mehtaab Sawhney, David Stoner, and Yufei Zhao. A34 is a seminar intended for undergraduate students who enjoy solving challenging mathematical Winter Camp 2010 Three Lemmas in Geometry Yufei Zhao Solution: Let the incircle of ABC touch BC at X, and let XY be a diameter of the incircle. He has held postdoctoral and visiting positions at Stanford University, UC Berke-ley and Oxford. (The symmedian is the re ection of the median Virginia Vassilevska Williams MIT Verified email at mit. He received his PhD from MIT in 2015 and has previously held positions at Oxford, Berkeley, Stanford, and Microsoft Research. In my honest opinion, a simple man is responsible for MIT's success at the Putnam and his name is Yufei Zhao. Yufei Zhao; Departments Mathematics; As Taught In Fall 2018 Level Undergraduate. Class meetings: Mondays and Wednesdays 1–2pm, room 2-132 Instructor: Prof. St. These papers reflect the culmination of their hard work, dedication, and innovative problem solving. Yufei received his dual SB degrees in Mathematics and Computer Science from MIT in 2010, an MASt in Yufei Zhao is a combinatorist who emigrated from China to Canada and then to the US. Rosenbaum Current price: $16. MIT wins 83rd Putnam Mathematical Competition, sweeps top five spots for third consecutive year Zhao wins Future of Science Award July 03, 2018. Then, we have a 1 + + a n n n p a 1 a n: Winter Camp 2008 Inequalities Yufei Zhao We have @f @a = p a2 + 8bc pa2 a2+8bc a2 + 8bc MIT; Supervised by Prof. Quick links: Class meetings: Mondays and Wednesdays 2:30–4pm, room 4-261. M Deng, J Tidor, Y Zhao. An independent set in a “In high dimensions, things really get interesting, and the possibilities can seem limitless,” says Yufei Zhao, assistant professor of mathematics. An example of a poset is the set of all subsets of f1;2;:::;ngunder the relation ˆ. A34 Mathematical Problem Solving (Putnam Seminar) as an undergraduate at MIT and was a three-time Putnam Fellow, has gone on to a flourishing Fall 2023, MIT, graduate level. Zilin Jiang, Jonathan Tidor, me, Yuan Yao, Shengtong Zhang. “Yufei has made tremendous contributions in combinatorics with applications to computer science,” says Michael Sipser, Fall 2021, MIT (Link to the most current version of the course) Class meetings: Mondays and Wednesdays 1–2pm, room 2-147. Let the tangent to at B and C meet at D. Course description and policies MIT OpenCourseWare is a web based publication of virtually all MIT course content. Michael F Sipser. Yufei Zhao Graders: Yibo Gao (lead), Milan Haiman, Anqi Li, Emails and Piazza. I completed my Ph. 2. Zilin is an Instructor (postdoc), Jonathan is my PhD student who just finished his second year, and Yuan and Shengtong are https://lnkd. Below, Professor Yufei Zhao describes various aspects of how he taught an earlier iteration of the course, 18. The course also introduces students to current research topics and open problems. Blog. 19-12. edu Lec 3, 9/14: Yibo Gao gaoyibo@mit. I'm excited to announce the topic for Day 1: Making Math Make Sense! At MIT there is literally a course that prepares you for Putnam - literally search for MIT Putnam seminar. 211” in the subject line of your emails It’s an amazing accomplishment,” says Yufei Zhao, assistant professor of mathematics, who oversees the competition at MIT and also coaches first-year students for the competitions via class 18. He is currently Assistant Professor of Mathematics at MIT. I am fortunate to be advised by Pablo Parrilo and Yufei Zhao. Additional course material, October 25: Yufei Zhao, A quasi-polynomial bound for the Freiman-Ruzsa theorem. Spherical two-distance sets and eigenvalues of signed graphs. They are intended to serve as study MIT OpenCourseWare is a web based publication of virtually all MIT course content. He shares his personal and academic journey, his love of math, and his advice to students at MIT. Quick links: [] []. " In this note, we will mainly focus on how to use incidence matrices to help us set up the counting. Putnam Math Competition at MIT. Paper underreviewatMPCPS. Read. RSA Professor of Mathematics. Below, Professor Yufei Zhao describes various aspects of how he taught 18. com/pm/ Yufei Zhao won the MIT School of Science’s Future of Science Award over the summer. Andy works on understanding the asymptotic dynamics of solutions to partial differential equations. “Our students' outstanding performance on the Putnam is a testament to their dedication and hard work,” says Yufei Zhao, associate professor of Fall 2019, MIT (Link to the most current version of the course). Yufei works on problems in extremal combinatorics, spectral graph theory, and discrete geometry. My advisor was Benny Sudakov. (IMO 2000) Two circles 1 and 2 intersect at M and N. 203-232. edu Lec 4, 9/19: Ganesh Ajjanagadde gajjanag@mit. Left to right: Coach Yufei Zhao poses with winners Ashwin Sah, Shengtong Zhang, Yuan Yao, Yunkun Zhou, Junyao Peng Zhao, Yufei. Schedule and Email: lguth@math. We explore an intimate connection between Young tableaux and representa-tions of the symmetric group. e. edu Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Let ‘ be the common tangent to 1 and 2 so that M is closer to ‘ than N is. Title. Like Urschel he fits into their business model / development strategy. Show that AC2 BD2 = AB2 CD2 + AD2 Yufei Zhao April 20, 2011 Abstract We provide an expository account of Furstenberg’s ergodic theoretic proof of Szemer edi’s theorem, which states that every subset of the integers with positive upper density contains arbitrarily long arithmetic progressions. co_present Yufei Zhao (MIT) Eigenvalues of Random Graphs May 2012 3 / 46. Talks take place at MIT and Harvard. Location: Wilfrid Laurier University in Waterloo, Ontario Dates: June 27 to July 9, 2008 Summer camp participants, including local students IMO team members and trainers. Primarily based on problem sets. “We hear a lot from MIT alumni that they wish they had received more training in communication Spring 2019, MIT (Link to the most current version of the course). In particular, a bjP(a) P(b) whenever P(x) 2Z[x] and a;bare distinct Yufei Zhao yufeiz@mit. Quick links: [Lecture videos: MIT OCW, YouTube] [] []. edu 1. , P a2A 1=a, must contain arbitrarily long APs. A very important fact. Tagged: Yufei Zhao. Yufei's undergraduate mentees have already produced numerous high-quality results and published in prestigious venues. edu An important skill of an olympiad geometer is being able to recognize known con gurations. Let ABCbe a triangle and Γ its circumcircle. in mathematics at Princeton University in 2010. g. OCW is open and available to the world and is a permanent MIT activity Prof. Yufei Zhao tenured at MIT. (b)Show that if gis an odd primitive root mod psuch that p2 - gp 1 1, then gis also a primitive root mod pn and 2pn for any n 1. Winter Camp 2008 Combinatorics Yufei Zhao Combinatorics Yufei Zhao yufeiz@mit. Only non-starred problems are considered for the calculations of Yufei Zhao; Administrative Assistant: Yufei An, yfa@mit. Michel X Goemans. 13Mb) Yufei Zhao, the Class of 1956 Career Development Assistant Professor in the Department of Mathematics, has been named the second recipient of the MIT School of Science’s Future of Science Award. For the first time ever, all five Putnam Fellows (top five contestants) hailed from a single school, MIT. The joints problem is a classic problem in incidence geometry. Zhao was named a Putnam Fellow in 2006, 18. Link to Canvas. A34 Mathematical Problem Solving (Putnam Seminar) as an undergraduate at MIT and was a three-time Putnam Fellow, has gone on to a flourishing career in mathematics:. , Pseudorandomness hypothesis for S⊆ ZN: GS has asymptotically the expected number of embeddings of Figure 2. A full list of my publications can be found on arXiv and Google Scholar. 1: 2023: New Lower Bounds and Professor Zhao begins the course with a proof of Schur’s theorem via graph theory and how it led to the modern development of additive combinatorics. Background on connections between analysis and IMO Training 2007 Similarity Yufei Zhao Similarity Yufei Zhao July 12, 2007 yufeiz@mit. The class policy is to not answer by email any math questions related to the class, due to time constraints and Instructor Insights. Yufei Zhao. pdf. DSpace@MIT. edu 1 Roots of unity 1. With high probability, most of the middle sums and di erences will be present. (Cauchy-Schwarz) Let a Winter Camp 2008 Inequalities Yufei Zhao 1 a This course examines classical and modern developments in graph theory and additive combinatorics, with a focus on topics and themes that connect the two subjects. A graduate-level introduction to the probabilistic method, a MIT won the 83rd William Putnam Mathematical Competition, sweeping the top five spots for third consecutive year. This course is a graduate-level introduction to the probabilistic method, a fundamental and powerful technique in combinatorics and theoretical computer science. 30. complexity under the guidance of Prof. My goal was to put together a cohesive introduction Zhao, Yufei. Tell us about your Andrew Lawrie and Yufei Zhao were promoted to Associate Professor without Tenure. Massachusetts Institute of Technology. The course examines classical and modern developments in graph theory and additive combinatorics, with a focus Mathematics Professor Yufei Zhao, far right, stands with winners of the 78th annual William Lowell Putnam Mathematical Competition. Back to main | Mehtaab Sawhney wins Clay Research Fellowship 1/25/2024 Papers by MIT combinatorialists—Fall 2023 12/22/2023 Summaries of recent papers by students and postdocs Lecturer: Yufei Zhao yufeiz@mit. Other than those listed below, all problem sets were created by anonymous guest lecturers. 226 Probabilistic Methods in Combinatorics. especially blackboard presentations,” says Zhao. M 9/27 Discussion — Presentations. For quick questions, please ask me after class. Class meetings: Mondays and Wednesdays 2:30–4pm (lectures will be live and recorded) Instructor: Yufei Zhao (see website for contact info) Grader: Sergei Korotkikh Please include “18. YUFEI ZHAO PROBLEM SET A. The Putnam Fellows for this year were Bohua Zhan and Yufei Zhao. 95 MIT Open Access Articles The Bipartite Swapping Trick on Graph Homomorphisms The MIT Faculty has made this article openly available. Yufei Zhao MIT CanaDAM 2021. Points X;Y, and Z lie on sides BC;CA Acknowledgements. Location: C3 (week 1), C4 (weeks 2—8) Mathematical Institute, University of Oxford. Additional course material, A. Just 5 days until the start of "Steering Math Success". The collection of eigenvalues of G are also Fall 2020, MIT (Link to the most current version of the course). Intuition Behind MSTD Sets Fringe is important. View Item . Prior to my PhD, I gained valuable industry experience through internships at Google DeepMind, Citadel Securities, and Pika MIT Open Access Articles Equiangular lines with a fixed angle The MIT Faculty has made this article openly available. Please be advised that external sites may have terms and conditions, including license rights, that differ from ours. co_present (Image adapted by MIT OpenCourseWare from Supplementary Problems #3 (PDF). edu Lec 2, 9/12: Evan Chen evanchen@mit. Fall 2023, MIT, graduate level. Equiangular lines with a fixed angle. Yufei Zhao Massachusetts Institute of Technology Verified email at mit. Publisher: Cambridge University Press ISBN: 9781009310949 Pages: 338 Causal Inference (The MIT Press Essential Knowledge series) Paul R. Exponential improvements for superball packing upper bounds. Zhao conducts research in discrete mathematics. He then takes the class on a tour of modern highlights of the field: Roth’s theorem, Szemerédi’s theorem, and the Green–Tao theorem. Citation: Jiang, Zilin, Tidor, Jonathan, Yao, Yuan, Zhang, Shengtong and Zhao, Yufei. ) Download IMO Training 2008 Inequalities Yufei Zhao Inequalities Yufei Zhao yufeiz@mit. 217 Graph Theory and Additive Combinatorics, in the fall of 2019. edu http://yufeizhao. Mathematics, MIT, 2010; S. Cecil and Ida Green Distinguished Professor of Mathematics. 211 Combinatorial Analysis. Let the tangent to Γ at Band Cmeet at D. (AM-GM) Let a 1; ;a n be positive real numbers. Quick links: [Problem set] Class meetings: Mondays and Wednesdays 2:30–4pm, room 4-153 Instructor: Prof. W 9/29 Lecture by Daniel Zhu. MIT also took home the Elizabeth Lowell Putnam Prize for the top-scoring woman. IMO Training 2008 Circles Yufei Zhao Circles Yufei Zhao yufeiz@mit. This textbook arose from a one-semester graduate-level course that I developed at MIT (and still teachregularly) to introduce studentsto a spectrumof beautiful mathematics inthe MIT OCW: Graph Theory and Additive Combinatorics --- Yufei Zhao. edu 18. Class meetings: Mondays and Wednesdays 2:30–4pm in 2-190 Lecturer: Yufei Zhao (see link for contact info) Office hours: Instead of scheduling regular office hours, the lecturer will be generally be available in the Math Common Room (2-290) after lectures to chat Nikhil Agarwal, Andrew Lawrie, Yufei Zhao, and Daniel Harlow recently received 2019 Sloan Research Fellowships. Equiangular lines with a fixed angle (with Zilin Jiang, Yuan Yao, Shengtong Zhang, and Yufei Zhao) Ann. Sums and integrals Instructor: Yufei Zhao. OCW: How did you approach designing and teaching this course? Yufei Zhao: This is the second iteration of a course I first taught in 2017. (Article in MIT News) Vishesh Jain, A. D. View Yufei Zhao’s profile on Prof. ’ Gil Kalai, Hebrew University of Jerusalem and Reichman University ‘This is a beautiful treatment of extremal graph theory and additive combinatorics, focusing on the fruitful interplay between the two. Yufei Zhao MIT OpenCourseWare is a web based publication of virtually all MIT course content. Looking at the coe cients Bound the size of the coe cients Modulos reduction. MIT OCW is not responsible for any content on third party sites, nor does a link suggest an endorsement of those sites and/or their content. Then AD coincides with a symmedian of 4ABC. co_present Yufei Zhao yufeiz@mit. Richard Stanley in earlier versions of the course. 338 Project Spectral Distributions of Random Graphs Yufei Zhao May 2012 1 Introduction Given a graph G with n vertices, its adjacency matrix A(G)is the n n matrix whose (i, j)entry is 1 if vertices i and j are adjacent, and 0 otherwise. W 9/22 Lecture by Yufei Zhao. Default locations are MIT Room 2-132 or Harvard Science Center Room 232 on Wednesdays, and MIT Room 2-139 on Thursdays. Fix an angle, in high dimensions, what is the maximum number of Z ilin Jiang, J onathan Tidor, Y uan Yao, S hengtong Zhang, Y ufei Zhao. Yufei Zhao; Departments Mathematics; Topics Mathematics. 20. edu A large number of combinatorics problems involve looking at a quantity in at least two di erent ways. Yufei Zhao Graders: Yuan Yao (lead), Zi Song Yeoh, Saba Lepsveridze Emails and Piazza. 2 DAVID CONLON, JACOB FOX, AND YUFEI ZHAO with divergent harmonic sum, i. 1. . Thue's proof part II: polynomials of two variables 28. He works in extremal, probabilistic, and additive combinatorics. November 2: Davie Rolnick, List coloring hypergraphs. Yufei Zhao Undergraduate Assistants (UA): Dain Kim and Tomasz Slusarczyk Emails and Slack: For quick questions, ask me after class; Include both UAs in all class related communication, including everything homework related 1 Introduction Paul Erdős (1913–1996) is considered the father of the probabilistic method. I am excited by problems in extremal graph theory, discrete probability, and convex optimization. Course description. Class time: Tuesdays and Thursdays 9:30—11am Location: 66-144 (Room change! Lecturer: Yufei Zhao (see website for contact info). (USAMO 1976) The polynomials A(x);B(x);C(x);D(x) satisfy the equation IMO Training 2008 Polynomials Yufei Zhao 19. IMO Training 2007 Lemmas in Euclidean Geometry Yufei Zhao Lemmas inEuclideanGeometry 1 Yufei Zhao yufeiz@mit. MIT took first place in the 2019 William Lowell Putnam Mathematical Competition, the premier math contest in the United States and Canada. Under his coaching, MIT students have been In 2009, when Yufei Zhao was an MIT undergraduate, he was intrigued by a 2001 conjecture by Rutgers University mathematician Jeff Kahn regarding the number of independent sets in a graph. arXiv preprint arXiv:2307. (The symmedian is the reflection of the median This course is a graduate-level introduction to the probabilistic method, a fundamental and powerful technique in combinatorics and theoretical computer science. Economist Koopmans. Notes by Yufei Zhao 27. edu 1 Classical Theorems Theorem 1. MIT News Coverage *Zilin Jiang, Jonathan Tidor, Yuan Yao, Shengtong Zhang, Yufei Zhao. ISBN: 9781009310949. Time: Tuesday 10—11. Let the circumcircles of ABX and CDX meet again at O. Indeed, many geometry problems are built on a few common themes. This poset is sometimes called I earned my undergraduate degree from MIT, double majoring in Mathematics and Computer Science. Discrete Mathematics. 226, Fall 2020) Probabilistic Methods in Combinatorics Yufei Zhao Massachusetts Institute of Technology yufeiz@mit. "Abstract:Sol I’m happy to announce our new paper Equiangular lines with a fixed angle joint with four MIT coauthors: Zilin Jiang, Jonathan Tidor, Yuan Yao, and Shengtong Zhang. A34 is a freshman advising seminar on mathematical problem solving. Yufei Zhao (赵宇飞) Massachusetts Institute of Technology Discrete Mathematics Office address：Room 102, SCMS Office tel： E-mail：yufeiz@mit. “We are very proud of the academic excellence of our students, and we celebrate the results of ‘Yufei Zhao does great mathematics and has an uncanny ability to explain the deepest results with clear understandable prose. IMO Training 2008 Circles Yufei Zhao 8. He is literally scouting for new admitted students every year and training them together with old members. Then, we have a 1 + + a n n n p a 1 a n: Theorem 2. (Cyclotomic polynomials) For a positive integer n, de ne the polynomial n(x) by n(x) = Y The MIT team, consisting of Qingchun Ren, Xuancheng Shao, and Yufei Zhao placed third after Harvard University and Princeton University. Eigenvalues of random graphs Random d-regular graph G n;d Largest eigenvalue is d All other eigenvalues are O(p d). Thue's proof part III Introduction to the Kakeya problem 29. edu - Homepage. He received his SB in Mathematics and Computer Science from MIT in 2010, his Masters of Advanced Study in Mathematics from Cambridge in 2011, and his Before recently joining Stanford, I enjoyed the hospitality of the MIT Department of Mathematics. Massachusetts Institute of Technology Department of Mathematics Headquarters Office Simons Building (Building 2), Room 106 77 Massachusetts Avenue Yufei Zhao is a Junior Research Fellow in Mathematics at New College, Oxford. Yufei Zhao • Explored Ruzsa’s conjecture; improved bounds and established new links to arithmetic Ramsey problems. Y Zhao. Fall 2020, MIT (Link to the most current version of the course). Three of the next eleven highest ranking individuals were MIT students: Qingchun Ren, Colin Sandon, and Jacob Steinhardt. edu 1 Warm up problems 1. The MIT team, consisting of Qingchun Ren, Xuancheng Shao, and Yufei Zhao placed third after Harvard University and Princeton University. S S + S S S This intuition helped to prove many results about MSTD sets. Graders: Yuan Yao (lead), Zi Song Yeoh, Yufei Zhao. A34 (Mathematical Problem Solving, Putnam Seminar). Instructor: Prof. Then MI is a midline of triangle XYD, so IM and YD are parallel. Fall 2018, MIT. [3] Lattice Coverings IMO Training 2008 Circles Yufei Zhao Circles Yufei Zhao yufeiz@mit. Meetings: Tuesdays and Thursdays 11am–noon in 2-135 Instructor: Yufei Zhao (see website for contact info) Course description. Yufei Zhao's notes on algebra, combinatorics, geometry, and number theory for math olympiad training. In the family of N-vertex, d-regular Rachel Wu 1 September 13, 2018 1 September 13, 2018 I added this class late, so welcome to lecture 3! Question 1. 424 (Seminar in Information Theory). MIT has won the Putnam competition six times since its inception in 1938, with the most recent victories in 2003 and 2004. Zhao Yufei Zhao yufeiz@mit. Class meetings: Tuesdays and Thursdays 3–4pm in 2-147 Instructor: Yufei Zhao (see website for contact info) Grader: Yau Wing Li Please include “18. Economist Stiglitz. After holding a Junior Research Fellowship at New College, Oxford, he joined the faculty at MIT in 2017, where he is now Associate Professor of Mathematics. Let the line through M parallel to ‘ meet the circle 1 again at C and the circle 2 again at D. G(n;p) Largest eigenvalue ˇnp All other eigenvalues are O(p np). ’ Yufei Zhao tenured at MIT. Then AD coincides with a symmedian of ABC. Department of Mathematics. Four from MIT Named 2019 Sloan Research Fellows. 06914, 2023. A reverse Sidorenko inequality. Learning MIT’s first-place finish earned $25,000 for the MIT math department, and each team member received $1,000. They need someone to teach combinatorics, keep the contest kids busy, and get some of them into research. A. Associate Professor of Mathematics. But they aren’t limitless, according to Zhao and his team of MIT mathematicians, who sought to solve this problem on the geometry of lines in high-dimensional space. A typical question in incidence geometry concerns what kinds of configurations can . 217. “The Bipartite Swapping Trick on Trinity Training 2011 an 1 Yufei Zhao (a)Show that 2 is a primitive root mod 3n for any n 1. While the incidence matrix is a powerful tool, there are many PROBABILISTIC METHODS IN COMBINATORICS MIT 18. Tristan Collins, left, received the Class of 1948 Career Development Fall 2021, MIT, graduate level (Link to the most current version of the course). Combinatorics. Special office hours will be set up before homework due dates. Yufei Zhao yufeiz@mit. Lecturer: Yufei Zhao Notes by: Andrew Lin Spring 2019 This is an edited transcript of the lectures of MIT’s Spring 2019 class 18. 1. co_present Winter Camp 2008 Inequalities Yufei Zhao Inequalities Yufei Zhao yufeiz@mit. CalTech has gone downhill since I left the Putnam team. Question. Points X;Y, and Z lie on sides BC;CA Prof. (L->R) Shengtong Zhang, Yuan Yao, Jonathan Tidor, Zilin Jiang, me. Well deserved, Bravo! 7 months ago # QUOTE 9 Good 2 No Giod! Economist Data. Let ABCD be a convex quadrilateral. Office hours by email appointment. (Cauchy-Schwarz) Let a Lecture notes (MIT 18. in/eVDK_-v7 I’m delighted to showcase and celebrate a selection of recent papers by the talented combinatorialists at MIT, especially those by Yufei Zhao on LinkedIn: Papers by Canadian IMO Summer Training Camp 2008. in mathematics from the Massachusetts Institute of Technology (MIT) under the supervision of Jacob Fox. Advances in Mathematics, 365, 107056. Cambridge University Press, 2023. MIT Corporate Relations Prof. Discrete geometry. Research. Selected publications Yufei Zhao, the Class of 1956 Career Development Assistant Professor in the Department of Mathematics, has been named the second recipient of the MIT School of Science’s Future of Science Award. Graph Theory and Additive Combinatorics: Exploring Structure and Randomness. Yufei Zhao MIT Based on joint work with David Conlon and Jacob Fox SIAM Conference on Discrete Mathematics D enes Konig Prize Lecture June 5, 2018. Then AD coincides with a symmedian 4 DAVID CONLON, JACOB FOX, AND YUFEI ZHAO GS X= ZN Y = ZN Z= ZN x y z x ∼ y iff 2x + y ∈ S x ∼ z iff x − z ∈ S y ∼ z iff −y − 2z ∈ S K2,2,2 & subgraphs, e. We begin by summarizing some of the common approaches used in dealing with integer polynomials. Yufei Zhao (MIT) Joint work with Noga Alon (Princeton) and Jacob Fox (Stanford) June, 2018 1. 22. A34 is a first-year undergraduate seminar on mathematical problem solving. MIT OpenCourseWare is a web based publication of virtually all MIT course content. (Miquel’s theorem) Let ABC be a triangle. MIT students were among 4,638 test-takers from 575 institutions last December, and once again produced Instructor: Yufei Zhao View the complete course: https://ocw. Four-peat: MIT students take first place in the 84th Putnam Math Competition Read it at MIT News. If not by density considerations, how do Green and Tao prove their theorem? Yufei Zhao. Let P(x) = a 0 + a 1x+ + a nxn, where 0 <a 0 a 1 a n are real numbers. mit. Combinatorica 43 (2023), pp. OCW: You structured problem sets a little differently in this course, providing students with a single file with many problems but only requiring a subset of these problems to be turned in for assessment. (17. Tobias Colding. Mathematics with Distinction, Cambridge, 2011; S. Notify us about copyright concerns. The course focuses on methodology as well as Yufei Zhao MIT Equiangular lines and eigenvalue multiplicity Abstract: Equiangular lines are configurations of lines in n-dimensional space, all passing through the origin, that pairwise make the same angle. It is intended for students who enjoy solving challenging mathematical problems and who are Yufei Zhao received this year’s UROP Outstanding Mentor Award, presented to research mentors who have demonstrated exceptional guidance and teaching in a research setting. Testing triangle-free-ness [Rubin eld and Sudan ’96] [Goldreich, Goldwasser, Ron ’98] Goal: determine if an n-vertex graph istriangle-freeor -far from triangle free Yufei Zhao yufeiz@mit. The course focuses on methodology as well as This course is a graduate-level introduction to the probabilistic methods, a fundamental and powerful technique in combinatorics and theoretical computer science. Lecturer: Professor Yufei Zhao Notes by: Andrew Lin Spring 2019 This is an edited transcript of the lectures of MIT’s Spring 2019 class 18. 226 (FALL 2022) – PROF. home cv research blog. Singularity of discrete random matrices. 18. YUFEI ZHAO ABSTRACT. Prof. Yufei Zhao; Departments Mathematics; As Taught In Fall 2022 Level Graduate. The eigenvalues of the graph G are defined to be the eigenvalues of A(G). This course was previously numbered 18. MIT Room: 2-271 (617) 253-4380. Class meetings: Tuesdays and Thursdays 2:30–4pm in 3-370 Lecturer: Yufei Zhao (see website for contact info) Office hours: After lectures or by email appointment. Lines CA and DB meet at E; lines AN and CD meet at P; lines BN and CD meet Yufei Zhao himself is a major player in modern research in both these areas and his presentation is a tour de force. The Institute's Putnam exam preparation was run by Yufei Zhao SB '10, PhD '15, who was recently appointed as an assistant professor in the MIT Department of Mathematics. 218: The Probabilistic Method in Combinatorics, taught by Professor Yufei Zhao. A comment about problem set 1|what is an ordered pair? During my undergraduate and master years, I had the great fortune to be mentored by Yufei Zhao, Dor Minzer, Sam Hopkins, Henry Cohn, Lisa Sauermann, Adam Sheffer, Kuikui Liu and Marcelo Campos. The notes were written by the students of the class based on the lectures, and edited with the help of the professor. edu Lec 5, 9/21: Morris Ang (Jie Jun) angm@mit. Fall 2017, MIT (Link to the most current version of the course). Applied Mathematics. Biology; Brain and Cognitive Sciences Blog of Yufei Zhao, Associate Professor of Mathematics at MIT. Notes from that course are available from its MIT students score very highly annual Putnam Competition, taking 11 of 15 top spots in the grueling, prestigious challenge. Equiangular lines Joints Extension complexity Width of transitive sets. Prove that triangles OAB and OCD are similar. 2021. Grading. A34” in the subject line of your emails. Ph. Final paper for the MIT class 18. Graph Theory and Additive Combinatorics Ñ Yufei Zhao x NotationandConventions Notethatwhen and aredisjoint, ( , )isthenumberoftheedgesbetween and . Due: Hidden independence and uniformity & SS3. My papers are listed below by topic. Let pbe a prime. Link to Canvas (including Zoom link; MIT Touchstone authentication required IMO Training 2008 Circles Yufei Zhao Circles Yufei Zhao yufeiz@mit. By the lemma, A;Y;D are collinear. Funct. DSpace@MIT Home; MIT OpenCourseWare (MIT OCW) - Archived Content Zhao, Yufei. edu. An independent set is a subset of the vertices with no two adjacent. IMO Training 2008 Combinatorics Yufei Zhao (re exivity) x xfor all x2P (antisymmetry) If x yand y x, then x= y. The notes have not been thoroughly checked for accuracy, espe-cially attributions of results. A progression of theorems on progressions van der Waerden’s theorem (1927) If N is colored with nitely many colors, then there are arbitrarily long monochromatic Yufei Zhao is Assistant Professor of Mathematics at the Massachusetts Institute of Technology. It is a prestigious award based on his research contribution to the field of combinatorics – as well as his mentorship, service and outreach. edu/18-217F19 This course examines classical and modern developments in graph theory and add Yufei Zhao (MIT) Eigenvalues of Random Graphs May 2012 3 / 46. Please share how this access benefits you. edu Editor-in-chief: Gwen McKinley gweneth@mit. MIT School of Science. I am a PhD student in the Department of Mathematics at MIT. In how many ways can one write a sum of at least two positive integers that add up to n? Consider the same set of integers written in a di erent order as being di erent. 12. Bijections; Algebraic Techniques in Combinatorics - Yufei Zhao. Additional links to my work: (2019), 172–195 blog MIT News; A reverse Sidorenko inequality (with Ashwin Sah, Mehtaab Sawhney, and David Stoner) Experience: Massachusetts Institute of Technology · Education: Massachusetts Institute of Technology · Location: Cambridge · 500+ connections on LinkedIn. This year’s cohort brings MIT’s total to nearly 300 fellows — more than any single institution in the history of the fellowships. Postcode: Winter Camp 2008 Combinatorics Yufei Zhao Combinatorics Yufei Zhao yufeiz@mit. Yufei Zhao Wins Future of Science Award. Mathematics, Emeritus. edu 1 Bijections Basic examples 1. Topics Mathematics. Faculty Features; Research; News; Watch; Attend Yufei Zhao (MIT) MSTD Sets and Beyond 1/14/2010 6 / 12. All supplementary problems, Hidden independence and uniformity problems, Probability problems, and additional topics assignments from previous editions are based on files created by Prof. Donner Professor of Mathematics. A. "Equiangular lines with a fixed angle. Quick links: Class meetings: Mondays and Wednesdays 2:30–4pm, room 4-261 Instructor: Prof. This conjecture is widely believed to be true, but it has yet to be proved even in the case of 3-term APs2. Annals of Professor Zhao begins the course with a proof of Schur’s theorem via graph theory and how it led to the modern development of additive combinatorics. His work is unimpressive. Mathematics, MIT, 2015 (Advisor: Jacob Fox) M. Sah, and Mehtaab Sawhney. (AM-GM) Let a 1; ;a nbe positive real numbers. Each section focuses on a different technique, along with examples of applications. Computer Science and Engineering, Yufei Zhao joined the mathematics faculty as Assistant Professor in July 2017. Let ‘ touch 1 at A and 2 at B. 226” in the subject line of your emails. uoeay nsrwgu vasav ntzp qipioyt zbvqx chx lqjv qwx upztcj