Yufei zhao mit The third author was supported by a Microsoft Research PhD Fellowship. 172–195 blog MIT News; A reverse Sidorenko inequality (with Ashwin Sah, Mehtaab Sawhney, and David Stoner) Inventiones Mathematicae 221 (2020), 665–711 slides blog; Sphere packing and energy minimization. Then, we have a 1 + + a n n n MIT students score very highly annual Putnam Competition, taking 11 of 15 top spots in the grueling, prestigious challenge. MIT also took home the Elizabeth Lowell Putnam Prize for the top-scoring woman. D. edu Lec 1, 9/7: Yufei Zhao yufeiz@mit. B. I am excited by problems in extremal graph theory, discrete probability, and convex optimization. December 22, 2023. Then AD coincides with a symmedian of Lecturer: Yufei Zhao yufeiz@mit. Zhao Graph Theory and Additive Combinatorics Ñ Yufei Zhao x NotationandConventions Notethatwhen and aredisjoint, ( , )isthenumberoftheedgesbetween and . Then AD coincides with a symmedian of 4ABC. 211” in the subject line of your emails. I am fortunate to be advised by Pablo Parrilo and Yufei Zhao. Computer Science and Engineering, Yufei Zhao joined the mathematics faculty as Assistant Professor in July 2017. [de Caen ’00] cd2 N(d) d + 1 2 [Gerzon ’73] In the lower bound construction, pairwise angles IMO Training 2008 Polynomials Yufei Zhao 19. Hepublishedaround1,500papersduringhislifetime, andhadmorethan500 IMO Training 2008 Circles Yufei Zhao Circles Yufei Zhao yufeiz@mit. Sort by citations Sort by 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 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. edu Lec 3, 9/14: Yibo Gao gaoyibo@mit. Four-peat: MIT students take first place in the 84th Putnam Math Competition Read it at MIT News. Instructor: Prof. W 9/22 Lecture by Yufei Zhao. MIT wins 83rd Putnam Mathematical Competition, sweeps top five spots for third consecutive year Read it at MIT News. The eigenvalues of the graph G are deﬁned to be the eigenvalues of A(G). Yufei Zhao. Combinatorics. Yufei Zhao won the MIT School of Science’s Future of Science Award over the summer. M 9/27 Discussion — Presentations. . home cv research blog. Sah, Mehtaab Sawhney, David Stoner, and Yufei Zhao. Then, we have a 1 + + a n n n Nikhil Agarwal, Andrew Lawrie, Yufei Zhao, and Daniel Harlow recently received 2019 Sloan Research Fellowships. Quick links: [] []. edu http://yufeizhao. (AM-GM) Let a 1; ;a nbe positive real numbers. ) M Q C P B D M' F E D D C C O B A B A A We give three proofs. Zhao conducts research in discrete mathematics. Sah, and Mehtaab Sawhney. January 14, 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. Link to Canvas (including Zoom link; MIT Touchstone authentication required Yufei Zhao MIT CanaDAM 2021. The audience asked probing questions and pointed out MIT won the 83rd William Putnam Mathematical Competition, sweeping the top five spots for third consecutive year. 217 Graph Theory and Additive Combinatorics, Fall 2019 Lecture notes (MIT 18. com/pm/ Tagged: Yufei Zhao. Ph. The celebrated Green-Tao theorem states that the prime numbers contain arbitrarily long arithmetic progressions. edu 1. Blog. Fall 2018, MIT. View Yufei Zhao’s profile on A. Lecturer: Yufei Zhao (see website for contact info). 20. I am supported by a Hertz Graduate Fellowship and the NSF Graduate Research Fellowship Program. Can you find all points x in the triangle that minimize Spring 2019, MIT (Link to the most current version of the course). Lecture video recordings from Fall 2019 Yufei Zhao is a combinatorist who emigrated from China to Canada and then to the US. 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. Due: Hidden independence and uniformity & SS3. Let AB and CD be two segments, and let lines AC and BD meet at X. Mathematics, MIT, 2010; S. Undergraduate Assistants (UA): Dain Kim and Carl Schildkraut. These papers reflect the culmination of Yufei Zhao yufeiz@mit. St. edu 1 Warm up problems 1. IMO Training 2008 Polynomials Yufei Zhao 19. Massachusetts Institute of Technology. Construction of the symmedian. He is currently Assistant Professor of Mathematics There were also 52 MIT students in the 201-500 finishers. A reverse Sidorenko inequality. Articles Cited by Public access Co-authors. As we near the end of the year, I’m delighted to showcase and celebrate a selection of recent papers by the talented combinatorialists at MIT, especially those by students and postdocs. edu Editor-in-chief: Gwen McKinley gweneth@mit. Special office hours will be set up before homework due dates. Professor Yufei Zhao, who took 18. March 01, 2024. Recently, Yufei and three undergraduates solved an open problem concerning the number of independent sets in an irregular graph – a . edu Lec 5, 9/21: Morris Ang (Jie Jun) angm@mit. Office hours: M 2:45-3:45pm & TR 2:30-3pm in 2-271. 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. “Yufei has made tremendous contributions in combinatorics with applications to computer science,” says Michael Sipser, Winter Camp 2008 Combinatorics Yufei Zhao Combinatorics Yufei Zhao yufeiz@mit. Math Olympiad training handouts. Handouts from Canadian IMO Training camps; Linear algebra tricks for the Putnam - MIT UMA Putnam Talk; Combinatorics. Blog of Yufei Zhao, Associate Professor of Mathematics at MIT. Class meetings: Tuesdays and Thursdays 1–2:30pm in 2-135. 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. A very important fact. Mathematics with Distinction, Cambridge, 2011; S. Let P(x) = a 0 + a 1x+ + a nxn, where 0 <a 0 a 1 a n are real numbers. It was a few weeks into the semester, and while there were a few latecomers, students in Class 18. 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. IMO Training 2008 Inequalities Yufei Zhao Inequalities Yufei Zhao yufeiz@mit. edu Lec 2, 9/12: Evan Chen evanchen@mit. Inventiones mathematicae, 221(2), 665-711. DAVID CONLON, JACOB FOX, AND YUFEI ZHAO Abstract. A graduate-level introduction to the probabilistic method, a Yufei Zhao's notes on algebra, combinatorics, geometry, and number theory for math olympiad training. 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. Equiangular lines Joints Extension complexity Width of transitive sets. Winners included Ashwin Sah, Shengtong Zhang, Yuan Yao, Yunkun Zhou, Junyao Peng, and Danielle Wang. Back to main | Mehtaab Sawhney wins Clay Research Fellowship 1/25/2024 Papers by MIT combinatorialists—Fall Fall 2021, MIT (Link to the most current version of the course) Class meetings: Mondays and Wednesdays 1–2pm, room 2-147. 226” in the subject line of your emails. (AM-GM) Let a 1; ;a n be positive real numbers. W 9/29 Lecture by Daniel Nitya Mani. 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:. Back to main | List of entries | Papers by MIT combinatorialists—Fall 2023. An independent set in a graph is a subset of vertices such that no two of them are joined by an edge. “Our students' outstanding performance on the Putnam is a testament to their dedication and hard work,” says Yufei Zhao, associate professor of mathematics, Fall 2019, MIT (Link to the most current version of the course). (Article in MIT News) Vishesh Jain, A. Additional links to my work: arXiv | MathSciNet | Google Scholar | CV. Singularity of discrete random Winter Camp 2008 Inequalities Yufei Zhao Inequalities Yufei Zhao yufeiz@mit. 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. He then takes the class on a tour of Professor Yufei Zhao, who took 18. 1For brevity, we will 1 Introduction Paul Erdős (1913–1996) is considered the father of the probabilistic method. in mathematics from the Massachusetts Institute of Technology (MIT) under the supervision of Jacob Fox. (The symmedian is the re ection of the median across the angle bisector, all through the same vertex. Bijections; Algebraic Techniques in Combinatorics - MOP 2007 Black Group “In high dimensions, things really get interesting, and the possibilities can seem limitless,” says Yufei Zhao, assistant professor of mathematics. 226, Fall 2020) Probabilistic Methods in Combinatorics Yufei Zhao Massachusetts Institute of Technology yufeiz@mit. The collection of eigenvalues of G are also Yufei Zhao. Prove that any complex zero of the polynomial satis es jzj 1. Mathematics, MIT, 2015 (Advisor: Jacob Fox) M. co_present Instructor Insights. edu - Homepage. Under his coaching, MIT students have been Experience: Massachusetts Institute of Technology · Education: Massachusetts Institute of Technology · Location: Cambridge · 500+ connections on LinkedIn. Verified email at mit. He shares his personal and academic journey, his love of math, and his advice to students at MIT. edu Lec 6, 9/26: Lisa Yang lisayang@mit. Title. Zilin Jiang, Jonathan Tidor, me, Yuan Yao, Shengtong Zhang. Yufei Zhao; Departments Mathematics; Topics Mathematics. Four from MIT Named 2019 Sloan Research Fellows. Let pbe a prime. edu 18. Content created by the MIT Libraries, CC BY-NC unless otherwise noted. edu 1 Bijections Basic examples 1. Yufei received his dual SB degrees in Mathematics and Computer Science from MIT in 2010, an MASt in Textbook: Yufei Zhao, Graph Theory and Additive Combinatorics: Exploring Structure and Randomness, Cambridge University Press, 2023. My papers are listed below by topic. Teaching assistants: Pro Pakawut Jiradilok and Morris Jie Jun Ang. Undergraduate introduction to combinatorics. 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 Instructor Insights. Please include “18. Learning Resource Types assignment Problem Sets. “Many important structures can be modeled using independent sets,” said “That was a very nice solution,” math professor Yufei Zhao told the class. Research. edu 1 Classical Theorems Theorem 1. I am a PhD student in the Department of Mathematics at MIT. A. Yufei Zhao Wins Future of Science Award. Quick links: [Lecture videos: MIT OCW, YouTube] [] []. February 23, 2023. edu Lec 7, 9/28: Albert Soh Fall 2020, MIT (Link to the most current version of the course). Course description. Let ABC be a triangle and its circumcircle. Making math fun by prepping for friendly competition Read it at MIT News. This year’s cohort brings MIT’s total to nearly 300 fellows — more than any single institution in the history of the fellowships. It is a prestigious award based on his research contribution to the field of combinatorics – as well as his mentorship, service and outreach. Notify us about copyright concerns . Left to right: Coach Yufei Zhao poses with winners Ashwin Sah, Shengtong Zhang, Yuan Yao, Yunkun Zhou, Junyao Peng, Yufei Zhao. edu Lec 4, 9/19: Ganesh Ajjanagadde gajjanag@mit. A34 Mathematical Problem Solving (Putnam Seminar) as an undergraduate at MIT and was a three-time Putnam Fellow, has gone on to a flourishing Yufei Zhao received his Ph. (a) Let n be a positive integer. 18. Let the tangent to at B and C meet at D. Equiangular lines N(d) = max # of lines in Rd with pairwise equal angles N(2) = 3 N(3) = 6 Exact answer known for nitely many d. Let the circumcircles of IMO Training 2008 Circles Yufei Zhao 8. This is an equilateral triangle. “I am incredibly proud of our students’ amazing effort and performance at the Putnam Competition,” says associate professor of mathematics Yufei Zhao ’10, PhD Prof. A34 (Mathematical Problem Solving) paid close attention to the intricate proofs presented by their fellow students on the blackboard. 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. (For example, there are 3 ways to express 3 as 3 = 1 + 1 + 1 Yufei Zhao yufeiz@mit. We give an exposition of the proof, incorporating several simpli ca- and an MIT NEC Corporation Award. Sort. oguf nyu kbfspln dnlrw kaej cjbq udwv swu dqxva pcxalp