Yufei zhao mit Lecturer: Yufei Zhao (see website for contact info). We begin by summarizing some of the common approaches used in dealing with integer polynomials. Tristan Collins, left, received the Class of 1948 Career Development A. Link to Canvas. Blog. *Graph Theory and Additive Combinatorics: Exploring Structure and Randomness*. edu A large number of combinatorics problems involve looking at a quantity in at least two di erent ways. Richard Stanley in earlier versions of the course. This improves the previous This course is a graduate-level introduction to the probabilistic method, a fundamental and powerful technique in combinatorics and theoretical computer science. Rachel Wu Contents Contents 1 September 13, 20181 Andrew Lawrie and Yufei Zhao were promoted to Associate Professor without Tenure. ’ Feb 23, 2023 · “Our students' outstanding performance on the Putnam is a testament to their dedication and hard work,” says Yufei Zhao, associate professor of mathematics, who prepares a group of first-year students for the competition through his Putnam Seminar. , P a2A 1=a, must contain arbitrarily long APs. 218: The Probabilistic Method in Combinatorics, taught by Professor Yufei Zhao. W 9/7 Class introduction. From left are Junyao Peng, Yunkun Zhou, Sammy Luo, Allen Liu, Jiyang Gao, Ashwin Sah, and Omer Cerrahoglu. Let ABCbe a triangle and Γ its circumcircle. 217 Graph Theory and Additive Combinatorics (Fall 2019, MIT OCW). zhihu. We address this question by giving a simple proof for a strengthening of the relative Szemer edi theorem, showing that a weak linear forms condition is su cient for the theorem to hold. Lecturer: Yufei Zhao Notes by: Andrew Lin Spring 2019 This is an edited transcript of the lectures of MIT’s Spring 2019 class 18. (AM-GM) Let a 1; ;a n be positive real numbers. Zhao was named a Putnam Fellow in 2006, 2008, and 2009. Computer Science and Engineering, MIT, 2010; Previous affiliations: Oxford, Berkeley, Stanford, Microsoft Research Yufei Zhao joined the mathematics faculty as Assistant Professor in July 2017. (Article in MIT News) Vishesh Jain, A. Emails: For quick questions, ask me after class Textbook: Yufei Zhao, Graph Theory and Additive Combinatorics: Exploring Structure and Randomness, Cambridge University Press, 2023 Lecture video recordings from Fall 2019 (may not correspond exactly to the current semester) may be found on MIT OpenCourseWare and YouTube . Acknowledgements. Yufei works on problems in extremal combinatorics, spectral graph theory, and discrete geometry. 2023. Szemeredi's graph regularity lemma is a very powerful tool in modern graph theory, developed back in the '70s. Bijections; Algebraic Techniques in Combinatorics - MOP 2007 Black Group Applications of linear algebra and posets to olympiad-style combinatorics problems. Course description. Then, we have a 1 + + a Jul 26, 2008 · IMO Training 2007 Lemmas in Euclidean Geometry Yufei Zhao Lemmas in Euclidean Geometry 1 Yufei Zhao yufeiz@mit. Professor Yufei Zhao1. A34 (Mathematical Problem Solving, Putnam Seminar). " In this note, we will mainly focus on how to use incidence Yufei Zhao (MIT) Joint work with Noga Alon (Princeton) and Jacob Fox (Stanford) June, 2018 1. Sah, and Mehtaab Sawhney. SCMS Combinatorics Online Seminar 2020/08/06 Yufei Zhao (MIT): Equiangular lines, spherical two-distance sets, and spectral graph theory https://scmscomb. Looking at the coe cients Bound the size of the coe cients seems like he posted on ejmr and the reddit thread at the same time, updating us on yufei’s current employer 6 months ago # QUOTE 0 Good 0 No Giod ! Economist October 23: Yufei Zhao, A quasi-polynomial bound for the Freiman-Ruzsa theorem. 211” in the subject line of your emails. (IMO Shortlist 1997) Let fbe a polynomial with integer coe cients and let pbe a prime such that f(0) = 0, f(1) = 1, and f(k) 0 or 1 (mod p) for all positive integers k. " In this note, we will mainly focus on how to use incidence 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. Notify us about copyright concerns . Let be some irrational number. A reverse Sidorenko inequality. Independent Sets Let G = (V,E) be a graph. OCW is open and available to the world and is a permanent MIT activity Mar 11, 2022 · 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. Undergraduate Assistants (UA): Mark Saengrungkongka and Tomasz Slusarczyk. Instructor: Yufei Zhao View the complete course: https://ocw. 04021 He was a Clay Research Fellow and a researcher at the Institute for Advanced Study in Princeton, New Jersey. Talks take place at MIT and Harvard. IMO Training 2008 Inequalities Yufei Zhao Inequalities Yufei Zhao yufeiz@mit. Grading. ps1 (a) Prove that A occupies at most 1/3 of the sphere in terms of surface area. The course focuses on methodology as well as combinatorial applications. Let AB and CD be two segments, and let lines AC and BD meet at X. Only non-starred problems are considered for the calculations of letter grades other than A and A+. home cv research blog. ” MIT 18. “It was a pretty surreal result. MIT Combinatorics Seminar MIT; Supervised by Prof. He solved an open problem in graph theory, simplified the proof of the Green-Tao theorem, and advised the winning team of the Putnam Mathematics Competition. , Leonard F. Quick links: [Problem set] Class meetings: Mondays and Wednesdays 2:30–4pm, room 4-153 Nov 2, 2023 · Yufei Zhao himself is a major player in modern research in both these areas and his presentation is a tour de force. OCW is open and available to the world and is a permanent MIT activity Yufei Zhao was an MIT undergraduate and PhD student. 226 Probabilistic Methods in Combinatorics. M 9/12 Discussion & Presentations. Eigenvalues of random graphs Random d-regular graph G n;d Largest eigenvalue is d ‘Yufei Zhao does great mathematics and has an uncanny ability to explain the deepest results with clear understandable prose. The top-scoring female in the 2023 annual William Lowell Putnam Mathematical Competition is first-year Isabella Zhu, who received the Elizabeth Lowell Putnam Prize for her efforts. Let M be the midpoint of BC. INTRODUCTION I am a PhD student in the Department of Mathematics at MIT. [5] Next, he taught at the California Institute of Technology from 2003 to 2010, before moving to MIT. com/pm/ MIT OpenCourseWare is a web based publication of virtually all MIT course content. Course description Fall 2019, MIT (Link to the most current version of the course) Quick links: [Lecture videos: MIT OCW, YouTube] Class meetings: Mondays and Wednesdays 2:30–4pm in 2-190. vi Preface A core thread throughout the book is the connection bridging graph theory and additive MIT Team Wins Putnam, Five Named Putnam Fellows Mathematics Professor Yufei Zhao, far right, stands with winners of the 78th annual William Lowell Putnam Mathematical Competition. Blog of Yufei Zhao, Associate Professor of Mathematics at MIT. After k>1 groups have gone, every two students have gone together exactly once. He is literally scouting for new admitted students every year and training them together with old members. Back to main | Papers by MIT combinatorialists—Fall 2023 Additionally, I had the privilege of exploring fine-grained complexity under the guidance of Prof. The eigenvalues of the graph G are defined to be the eigenvalues of A(G). Annals of Fall 2023, MIT [Dropbox (schedule & homework PDFs)] Class meetings: Mondays and Wednesdays 1–2pm, room 2-132. In my honest opinion, a simple man is responsible for MIT's success at the Putnam and his name is Yufei Zhao. The course also introduces students to current research topics and open problems. Oct 10, 2021 · 来源：MIT. Feb 21, 2019 · Nikhil Agarwal, Andrew Lawrie, Yufei Zhao, and Daniel Harlow recently received 2019 Sloan Research Fellowships. Prove that the number Content created by the MIT Libraries, CC BY-NC unless otherwise noted. MIT OpenCourseWare is a web based publication of virtually all MIT course content. IMO Training 2008 Circles Yufei Zhao Circles Yufei Zhao yufeiz@mit. edu i. Let the tangent to Γ at Band Cmeet at D. The important computational trick is that we can bound this pretty well if p is small: MIT Corporate Relations Prof. MIT Room: 2-271 (617) 253-4380. Then MI is a midline of triangle XYD, so IM and YD are parallel. 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. Prior to my PhD, I gained valuable industry experience through internships at Google DeepMind, Citadel Securities, and Pika. Equiangular lines Joints Extension complexity Width of transitive sets. Paper underreviewatMPCPS. Alexanderson, Gerald L. ) Download Course. Yufei Zhao • Explored Ruzsa’s conjecture; improved bounds and established new links to arithmetic Ramsey problems. 18. 2. Yufei Zhao (MIT) Eigenvalues of Random Graphs May 2012 3 / 46. He was Jacob Fox's student so it also makes sense for him to temporarily step in to fill the roles vacated by Fox's departure. Yufei Zhao; Departments Mathematics; As Taught In Fall 2018 (Image adapted by MIT OpenCourseWare from Supplementary Problems #3 (PDF). Special office hours will be set up before homework due dates. This course was previously numbered 18. MIT could do better. He received his PhD from MIT in 2015 and has previously held positions at Oxford, Berkeley, Stanford, and Microsoft Research. MOP 2007 Black Group Counting in Two Ways Yufei Zhao Counting in Two Ways Incidence Matrices June 26, 2007 Yufei Zhao yufeiz@mit. Petersburg) Students in a school go for ice cream in groups of at least two. Let the circumcircles of ABX and CDX meet again at O. Many of these results were discovered only in the past decade, and their solutions are often Determinants: Evaluation and Manipulation - MIT UMA Putnam Talk; Linear algebra tricks for the Putnam - MIT UMA Putnam Talk; Combinatorics. The Putnam Fellows for this year were Bohua Zhan and Yufei Zhao. I wrote these lecture notes in LATEX in real time during lectures, so there 3tz@mit. Fall 2021, MIT, graduate level (Link to the most current version of the course). Today I want to show you the statement and the proof of this graph regularity lemma. “I am incredibly proud of our students’ amazing effort and performance at the Putnam Competition,” says associate professor of mathematics Yufei Zhao ’10, PhD ’15. “We are very proud of the academic excellence of our students, and we celebrate the results of MIT OCW: Graph Theory and Additive Combinatorics --- Yufei Zhao. 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. Zhao is also a three-time Putnam Fellow. 226, Fall 2020) Probabilistic Methods in Combinatorics Yufei Zhao Massachusetts Institute of Technology yufeiz@mit. g. arXiv:1809. MIT wins 83rd Putnam Mathematical Competition, sweeps top five spots for third consecutive year Yufei Zhao. Content created by the MIT Libraries, Zhao, Yufei. Mar 1, 2024 · There were also 52 MIT students in the 201-500 finishers. 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. Below, Professor Yufei Zhao describes various aspects of how he taught an earlier iteration of the course, 18. Supervised Program for Alignment Research Mar2023–Aug2023 Berkeley AI Safety; Supervised by Joe Benton Prof. All other sessions are restricted to official seminar participants. edu/18-217F19 This course examines classical and modern developments in graph theory and add Dec 7, 2019 · Fall 2019, MIT (Link to the most current version of the course) Class meetings: Mondays and Wednesdays 1–2pm in 4-149. Dec 14, 2022 · When he returned to MIT in 2017 to join the faculty, he began teaching the Putnam Seminar. October 30: Yufei Zhao, A quasi-polynomial bound for the Freiman-Ruzsa theorem. 32 (2022), 302–339. IMO Training 2008 Polynomials Yufei Zhao 10. “This was unprecedented,” says Yufei Zhao, Class of 1956 Career Development Assistant Professor of Mathematics, who coaches first-year students for the competitions via the Putnam Seminar in the fall, and also oversees the competition at MIT. (AM-GM) Let a 1; ;a nbe positive real numbers. 226 Probabilistic Method in Combinatorics, Fall 2020 Winter Camp 2008 Inequalities Yufei Zhao Inequalities Yufei Zhao yufeiz@mit. Testing triangle-free-ness [Rubin eld and Sudan ’96] [Goldreich MOP 2007 Black Group Counting in Two Ways Yufei Zhao Counting in Two Ways Incidence Matrices June 26, 2007 Yufei Zhao yufeiz@mit. Show that for any a;bsatisfying 0 <a<b<1, there is some positive integer nsuch that a Jun 27, 2008 · Canadian IMO Summer Training Camp 2008. Yufei Zhao. Show that there is some nfor which 111 111 (with nones) is divisible by 2007. 1. MIT has won the Putnam competition six times since its inception in 1938, with the most recent victories in 2003 and 2004. (The symmedian is the reflection of the median Winter Camp 2009 Cyclic Quadrilaterals Yufei Zhao Cyclic Quadrilaterals | The Big Picture Yufei Zhao yufeiz@mit. Course description Zhao, Yufei. 2021年暑假，我决定尝试翻译赵宇飞（Yufei Zhao）的讲义 Graph Theory and Additive Combinatorics 并得到了伙伴@武弘勋 的支持，您可以直接查看 MIT18. 3. ’ IMO Training 2008 Combinatorics Yufei Zhao Combinatorics July 6, 2008 Yufei Zhao yufeiz@mit. All supplementary problems, Hidden independence and uniformity problems, Probability problems, and additional topics assignments from previous editions are based on files created by Prof. Yufei Zhao: Dénes König Prize, SIAM: Yufei Zhao: The Future of Science Award, MIT School of Science: Yufei Zhao: Class of 1956 Career Development Professorship Chair: Yufei Zhao: Best Paper Award, ICCM 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. Yufei Zhao Notes by: Andrew Lin Now we just optimize for p. Graph Theory and Additive Combinatorics: Exploring Structure and Randomness. Advances in Mathematics, 365, 107056. Mar 22, 2010 · MIT’s first-place finish earned $25,000 for the MIT math department, and each team member received $1,000. edu 1 Warm up problems 1. Time: Tuesday 10—11. Class time: Tuesdays and Thursdays 9:30—11am Location: 66-144 (Room change! Lecturer: Yufei Zhao (see website for contact info). . I am excited by problems in extremal graph theory, discrete probability, and convex optimization. Journal of Combinatorial Theory, Series B, 138 (2019), 172-195. The dilation centered at G with ratio 2 takes M to A, and Yufei Zhao July 18, 2007 1. io/ 学术报告 组合数学 Fall 2020, MIT (Link to the most current version of the course) Class meetings: Mondays and Wednesdays 10–11am (Note time change) Instructor: Yufei Zhao (see link for contact info) Assistants: Dain Kim and Daniel Zhu. Singularity of discrete random matrices. 编辑：LRS 【新智元导读】解决一个七十年悬而未决的问题需要多久？答案显然不是七十年。最近MIT著名华人数学副教授Yufei Zhao带领两名本科生只用了一个暑假就完全攻克图论中的等角线问题，为后续计算机图发展奠定基础。 MOP 2007 Black Group Integer Polynomials Yufei Zhao Integer Polynomials June 29, 2007 Yufei Zhao yufeiz@mit. MIT graduate course taught by Prof. I am supported by a Hertz Graduate Fellowship and the NSF Graduate Research Fellowship Program. Mathematics, MIT, 2015 (Advisor: Jacob Fox) M. D. Yufei Zhao is a Ph. Points X;Y, and Z lie on sides BC;CA The MIT team, consisting of Qingchun Ren, Xuancheng Shao, and Yufei Zhao placed third after Harvard University and Princeton University. Class meetings: Tuesdays and Thursdays 1–2:30pm in 2-135. 217. Additional course material, 2 DAVID CONLON, JACOB FOX, AND YUFEI ZHAO with divergent harmonic sum, i. A. Location: Wilfrid Laurier University in Waterloo, Ontario Dates: June 27 to July 9, 2008 Summer camp participants, including local students 强烈推荐MIT大神Yufei Zhao上个学期的课程讲义，Graph Theory and Additive Combinatorics。 这个讲义的每一节我都仔细读过，知识更新得非常迅速，其中已经包含很多2019年下半年的新结果。经典的内容都写得非常好，而且我非常喜欢里面的那张配图。 MIT OpenCourseWare is a web based publication of virtually all MIT course content. 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: Yufei Zhao Wins Future of Science Award. Instructor: Yufei Zhao (see link for contact info) Please include “18. We explore an intimate connection between Young tableaux and representa-tions of the symmetric group. edu Yufei Zhao Massachusetts Institute of Technology Verified email at mit. 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 See full list on zhuanlan. The number of independent sets in an irregular graph. A. This technique is often called \double counting. Zhao credits Stanley for creating high-quality problem sets, which are still being used in the seminar. 09462. Inventiones mathematicae, 221(2), 665-711. It is a prestigious award based on his research contribution to the field of combinatorics – as well as his mentorship, service and outreach. St. Co-Authors: Eyal Ackerman, Mike Albertson, Boris Alexeev Douglas Ulrich, Samuel Zbarsky and Yufei Zhao. An independent set in a graph is a subset of vertices such that no two of them are joined by an edge. student in the MIT Math Department. Below, Professor Yufei Zhao describes various aspects of how he taught 18. Feb 25, 2019 · 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. Three of the next eleven highest ranking individuals were MIT students: Qingchun Ren, Colin Sandon, and Jacob Steinhardt. MIT is also a top destination for medalists participating in the International Mathematics Olympiad (IMO) for high school students. “I am super proud of our students' performance on the Putnam Competition,” said Yufei Zhao, our Putnam coach. W 9/21 Lecture by Ashwin Sah Mar 29, 2022 · Yufei Zhao is Assistant Professor of Mathematics at the Massachusetts Institute of Technology. Department of Mathematics. Oct 4, 2021 · “In high dimensions, things really get interesting, and the possibilities can seem limitless,” says Yufei Zhao, assistant professor of mathematics. (a) Let n be a positive integer. edu http://yufeizhao. Mathematics with Distinction, Cambridge, 2011; S. Primary DLC. 本文件包含了图论和加法组合学的课程笔记，这是一门研究生水平的课程，由Yufei Zhao教授于2019年秋季在麻省理工学院讲授。课堂笔记是由学生根据课堂内容撰写的，并在教授的帮助下进行编辑。 YUFEI ZHAO: We're about to embark on a new chapter in this course where I want to tell you about Szemeredi's graph regularity lemma. The department knows him well. This is an author's version of the textbook. " Annals of Mathematics, 194 (3). Geometric and Functional Analysis, 31(5), 1160-1218. Well deserved, Bravo! 1 year ago # QUOTE 9 Good 2 No Giod! Economist Data. Course description and policies Fall 2018, MIT. 218. edu Jonathan Tidor Stanford University Verified email at stanford. Indeed, many geometry problems are built on a few common themes. B. Larson. W 9/14 Lecture by Yufei Zhao. Tiling - MOP 2007 Blue group Discussion of tiling Yufei Zhao; Administrative Assistant: Ian Wang, mjwang79@mit. 194 (2021), 729–743. He was a PRIMES mentor in 2013-2014, first leading a reading group on the probabilistic method and then supervising a research project in combinatorics. “The results of the Putnam are a source of pride for our institution and a reflection of Prof. The Boolean satisfiability problem, specifically k-SAT, occupies a central place in theoretical computer science. github. Ashwin developed a passion for mathematics research as an undergraduate at MIT, where he had the fortune to work with Professor Yufei Zhao, as well as at the Duluth and Emory REU (Research Experience for Undergraduates) programs. Spring 2019, MIT (Link to the most current version of the course) Class meetings: Tuesdays and Thursdays 2:30–4pm in 3-370. PROBLEM SET. Instructor: Prof. edu 1 Bijections Basic examples 1. Yufei received his dual SB degrees in Mathematics and Computer Science from MIT in 2010, an MASt in Mathematics from Cambridge in 2011, and a PhD from MIT in 2015, under the supervision of Jacob Fox. (Miquel’s theorem) Let ABC be a triangle. Professor Yufei Zhao, who took 18. edu Fall 2017, MIT (Link to the most current version of the course). edu. Show that there exists some integer nsuch that the number n p ˇdi ers by at most 1 1000000 from its nearest integer. Mathematics, MIT, 2010; S. 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. Due: Hidden independence and uniformity & SS2. Lecturer: Yufei Zhao (see link for contact info) This course is a graduate-level introduction to the probabilistic methods, a fundamental and powerful technique in combinatorics and theoretical computer science. Ph. And Zhao is also continuing Stanley’s goal to steer students away from seeing the seminar as simply training for Putnam. Ashwin Sah, Mehtaab Sawhney, David Stoner and Yufei Zhao. M 9/19 Discussion & Presentations. 2021. Virginia Vassilevska Williams and delving into combinatorics with Prof. Associate Professor of Mathematics. Please include “18. His work is unimpressive. ISBN: 9781009310949. Your story matters. OCW is open and available to the world and is a permanent MIT activity Yufei Zhao tenured at MIT. 30. Exponential improvements for superball packing upper bounds. We study a number of surprising applications of polynomials to problems in combinatorics. Abstract: Starting with Schur's attempt from a hundred years ago at proving Fermat's Last Theorem, we explore connections between graph theory on one hand, and an area of number theory known as additive combinatorics on the other hand. Massachusetts Institute of Technology S Zhang, Y Zhao. , Cambridge MA, 02142, USA yufeiz@mit. October 28: Charles River Lectures on Probability Theory and Related Topics in E51 MIT Tang Center. edu 1 Classical Theorems Theorem 1. [7] You are looking at the wrong person. Zhao shares test-taking strategies, and students practice with past years’ Putnam exams. e. Ren and Zhao also earned the Putnam Fellow distinction, which carries a $2,500 prize, for finishing in the top five. Lecturer: Yufei Zhao (see website for contact info) Office hours: After lectures or by email appointment. Funct. Instructor: Professor Yufei Zhao. Link to Canvas (including Zoom link; MIT Touchstone authentication required for Zoom, Non-MIT individuals must obtain an MIT account, e. Let the tangent to at B and C meet at D. At MIT there is literally a course that prepares you for Putnam - literally search for MIT Putnam seminar. YUFEI ZHAO PROBLEM SET A. An independent set is a subset of the vertices with no two adjacent. They are: Eliezer Calo, Steven Flavell, Pablo Jarillo-Herrero, Becky Lamason, Rebecca Saxe, Omer Yilmaz, Yufei Zhao, and Martin Zwierlein. edu 18. Instructor Interview. Cambridge University Press, 2023. 225 官方主页找到原始讲义和其他课程相关内容。 Yufei Zhao Extremal, probabilistic, and additive combinatorics; Instructors & Postdocs. Other than those listed below, all problem sets were created by anonymous guest lecturers. Mar 4, 2019 · The class is taught by Zhao ’10, PhD ’15, a three-time Putnam Fellow who took the same class under professors Richard Stanley and Hartley Rogers. "I am incredibly proud of MIT students' amazing performance," says Zhao. This conjecture is widely believed to be true, but it has yet to be proved even in the case of 3-term APs2. ps1? (b) Advisor: Yufei Zhao (MIT) Research Interests: Extremal and probabilistic combinatorics. 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. Feb 10, 2015 · Yufei Zhao. Yufei Zhao Winter Camp 2009 Cyclic Quadrilaterals Yufei Zhao Cyclic Quadrilaterals | The Big Picture Yufei Zhao yufeiz@mit. The William Lowell Putnam Mathematical Competition Problems and Solutions, 1965–1984. 217 Graph Theory and Additive Combinatorics, in the fall of 2019. Question. Looking at the coe cients Bound the size of the coe cients Lecture notes (MIT 18. mit. "Equiangular lines with a fixed angle. Andy works on understanding the asymptotic dynamics of solutions to partial differential equations. Joints of varieties (with Hung-Hsun Hans Yu and Yufei Zhao) Geom. Due: Probability & SS1. 226 (FALL 2022) – PROF. Construction of the symmedian. 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. The MIT team, consisting of Qingchun Ren, Xuancheng Shao, and Yufei Zhao placed third after Harvard University and Princeton University. A34” in the subject line of your emails. DownloadThis package contains the same content as the online version of the course, except for the audio/video IMO Training 2007 Lemmas in Euclidean Geometry Yufei Zhao Lemmas inEuclideanGeometry 1 Yufei Zhao yufeiz@mit. Time and Location: Please check the Google calendar below for the definitive schedule. ’ 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. Sep 6, 2018 · Yufei Zhao won the MIT School of Science’s Future of Science Award over the summer. Each section focuses on a different technique, along with examples of applications. 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. Friday, January 8: Yufei Zhao. Anal. Office hours: M 2:45-3:45pm & TR 2:30-3pm in 2-271. edu An important skill of an olympiad geometer is being able to recognize known con gurations. October 25: Yufei Zhao, A quasi-polynomial bound for the Freiman-Ruzsa theorem. Then AD coincides with a symmedian of 4ABC. Yufei Zhao was not a Clay Fellow nor did he hold a position at Caltech. He also ranked seventh in 2007. (2019), 172–195 blog MIT News; A reverse Sidorenko inequality (with Ashwin Sah, Mehtaab Sawhney, and David Stoner) Feb 22, 2018 · 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. Citation: Jiang, Zilin, Tidor, Jonathan, Yao, Yuan, Zhang, Shengtong and Zhao, Yufei. Graph Theory and Additive Combinatorics Ñ Yufei Zhao x NotationandConventions Notethatwhen and aredisjoint, ( , )isthenumberoftheedgesbetween and . 2 DAVID CONLON, JACOB FOX, AND YUFEI ZHAO like a random set of the same density. Selected publications 1 Introduction Paul Erdős (1913–1996) is considered the father of the probabilistic method. Four from MIT Named 2019 Sloan Research Fellows. Location: C3 (week 1), C4 (weeks 2—8) Mathematical Institute, University of Oxford. Additional course material, Yufei Zhao. This year’s cohort brings MIT’s total to nearly 300 fellows — more than any single institution in the history of the fellowships. of Math. Triangles and Equations. MIT Open Access Articles Equiangular lines with a fixed angle The MIT Faculty has made this article openly available. , through cross-registration, to access the lectures) Virginia Vassilevska Williams MIT Verified email at mit. A34 is a first-year undergraduate seminar on mathematical problem solving. Ting-Wei Chao Extremal Combinatorics, Incidence Geometry; Manik Dhar Combinatorics, Theoretical Computer Science; Siddarth Kannan Algebraic geometry, Combinatorics; Sammy Luo Extremal and additive combinatorics Ashwin Sah, Mehtaab Sawhney, David Stoner and Yufei Zhao. 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. Prove that triangles OAB and OCD are similar. 226” in the subject line of your emails. Economist Koopmans. Please share how this access benefits you. Then, we have a 1 + + a Winter Camp 2008 Combinatorics Yufei Zhao Combinatorics Yufei Zhao yufeiz@mit. 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. Equiangular lines with a fixed angle (with Zilin Jiang, Yuan Yao, Shengtong Zhang, and Yufei Zhao) Ann. By the lemma, A;Y;D are collinear. In this lecture, we will explore one such con guration. Fall 2018, MIT (Link to the most current version of the course) Class meetings: Tuesdays and Thursdays 3–4pm in 2-147. Prof. Zhao conducts research in discrete mathematics. A natural question is whether these pseudorandomness conditions can be weakened. My goal was to put together a 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. (Article in MIT News) MOP 2007 Black Group Integer Polynomials Yufei Zhao Integer Polynomials June 29, 2007 Yufei Zhao yufeiz@mit. Introduction and linearity of expectations A1. Apr 19, 2024 · Michel Goemans, at left, and Yufei Zhao congratulate Isabella Zhu, who is holding her award for earning the Elizabeth Lowell Putnam Prize. Below are some useful links related to mathematical problem solving. Inventiones Mathematicae, 221 (2020), 665–711. Default locations are MIT Room 2-135 or Harvard Science Center Room 232 on Wednesdays, and MIT Room 2-139 on Thursdays. Instructor: Yufei Zhao (see website for contact info) Grader: Yau Wing Li. Teaching assistants: Pro Pakawut Jiradilok and Morris Jie Jun Ang. edu Abstract In this note, we give a short proof of the fact that the coe cients of the polynomial A n(x) = (1 x)(1 x2)(1 x3) (1 xF n)(1 xF n+1) are all equal to 1;0 or 1, where F n is the n-th Fibonacci number. The essence of the approach is to show that some combinatorial object exists and prove that a certain random construction works with positive probability. 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. Jul 23, 2018 · The MIT School of Science announced that eight of its faculty members have been appointed to named professorships. (The symmedian is the re ection of the median MIT OpenCourseWare is a web based publication of virtually all MIT course content. Sah, Mehtaab Sawhney, David Stoner, and Yufei Zhao. Zhao, Yufei. edu A Taste of Algebraic Combinatorics Problem: (St. 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. OCW is open and available to the world and is a permanent MIT activity Feb 28, 2025 · MIT’s success in the Putnam exam isn’t surprising. Let ABC be a triangle and its circumcircle. arXiv:1805. Sep 28, 2021 · Blog of Yufei Zhao, Associate Professor of Mathematics at MIT. I am fortunate to be advised by Pablo Parrilo and Yufei Zhao. Fall 2022, MIT [Lecture notes] [Problem set] Class meetings: Mondays and Wednesdays 2:30–4pm, room 4-370 YUFEI ZHAO p. Course description MIT Open Access Articles Spherical Two-Distance Sets and Eigenvalues of Signed Graphs The MIT Faculty has made this article openly available. 3 of 12 Mingyang Deng ’24 (2022–2023) → MIT CS PhD Tomasz Slusarczyk ’25 (2022) Aleksandre Saatashvili ’23 (2022–2023) → CMU Math PhD Saba Lepsveridze ’24 (2022–2023) → MIT Math PhD Ashwin Sah Massachusetts Institute of Technology Verified email at mit. MIT’s recent Putnam coaches are four-time Putnam Fellow Bjorn Poonen and three-time Putnam Fellow Yufei Zhao ’10, PhD ’15. Lectures are open to all MIT students. edu 1. com Jul 9, 2018 · Yufei Zhao, an assistant professor of mathematics at MIT, is honored for his research in discrete mathematics, teaching, service, and outreach. Then AD coincides with a symmedian of ABC. With this background, it's curious that MIT is hiring another junior combinatorist (Sauermann) who is also Jacob Fox's student. Klosinski, and Loren C. edu We will use Z[x] to denote the ring of polynomials with integer coe cients. Hepublishedaround1,500papersduringhislifetime, andhadmorethan500 Oct 17, 2021 · 现在，这一难题终于被mit助理教授赵宇飞带领团队突破了，已被四大顶刊之一的《数学年刊》接受，预计于2022年的第一期发表。 普林斯顿大学教授 In total, MIT students dominated in the demanding six-hour mathematics competition, taking 45 of the top 101 spots. Yufei Zhao yufeiz@mit. Of the three non-MIT Putnam Fellows, all from Harvard this year, two also have strong MIT ties as 2014 Reviews ‘Yufei Zhao does great mathematics and has an uncanny ability to explain the deepest results with clear understandable prose. Lecturer: Prof. Instructor: Yufei Zhao (see website for contact info) Grader: Sergei Korotkikh. Yufei Zhao; Departments Mathematics; As Taught In Fall 2022 MIT OCW is not responsible for any content on third party sites, nor does a link suggest an YUFEI ZHAO ABSTRACT. Zilin Jiang, Jonathan Tidor, me, Yuan Yao, Shengtong Zhang. I will show the proof of Schur's theorem, and take you A. “The number of high scorers from MIT shows the unparalleled strength of our undergraduate math community. Research. Yufei Zhao Student, Massachusetts Institute of Technology 3 Ames St. Primarily based on problem sets. In the family of N-vertex, d-regular Yufei Zhao MIT CanaDAM 2021. hcaviph ijqkp ett ihu pkxjp knjha tjap qizq hmddopq opvk