Everyone is cordially invited to the First Annual Yulia’s Dream Virtual Conference on May 14-15, 2023. Yulia’s Dream is a free remote mathematics enrichment and research program for exceptional high school students from Ukraine. It was established in March 2022 as an initiative under PRIMES (Program for Research in Mathematics, Engineering and Science for High School Students) at the MIT Mathematics Department. Yulia’s Dream is dedicated to the memory of Yulia Zdanovska, a 21-year-old graduate of the National University of Kyiv, a winner of the 2017 European Girls' Mathematical Olympiad, and a teacher for the “Teach for Ukraine” program who was killed by a Russian-fired missile in her home city of Kharkiv. We hope to help other Ukrainian boys and girls fulfill her dream. The conference program is appended below and can be viewed here: https://math.mit.edu/research/highschool/primes/YuliasDream/YD-2023.html The conference will feature presentations of group research projects and expository talks by reading groups. It will conclude with a special session organized by the International Centre for Mathematics in Ukraine (ICMU), including a lecture by Prof. Maryna Viazovska, the 2022 Fields Medalist from Ukraine. Zoom webinar link: https://mit.zoom.us/j/94423871903?pwd=NHQvOWFiQ1VOL2M2SnArU3NEcEVmdz09 Passcode: 562389 We look forward to seeing you virtually this weekend! Best regards, Prof. Pavel Etingof Chief Research Advisor Dr. Slava Gerovitch Program Director MIT PRIMES / Yulia’s Dream http://math.mit.edu/research/highschool/primes https://math.mit.edu/research/highschool/primes/YuliasDream

First Annual Yulia's Dream Conference, May 14-15, 2023

Sunday, May 14

9:00 am (Boston) [16:00 (Kyiv)]: Welcoming Remarks

• Prof. Pavel Etingof, Yulia's Dream Chief Research Advisor
• Dr. Slava Gerovitch, Yulia's Dream Program Director

9:15-11:10 am (Boston) [16:15-18:10 (Kyiv)]: Session 1

• Ivan Bortnovskyi and Vadym Pashkovskyi, “Exploration of Grothendieck-Teichmueller (GT) shadows for the dihedral poset” (mentor Prof. Vasily Dolgushev, Temple University)
• Yehor Avdieiev, “Affine standard Lyndon words” (mentor Prof. Alexander Tsymbaliuk, Purdue University)
• Dmytro Antonovych, Viktor Makozyuk, and Vladyslav Tysiachnyi, “Matching of frames in open Jacobi diagrams and chord diagrams spaces” (mentor Dr. Mykola Semenyakin, Perimeter Institute for Theoretical Physics)
• Alexander Borodin, Martin Leshko, and Marina Spektrova, “Combinatorial Hikita Conjecture” (mentor Dr. Andrei Ionov, Boston College)
• Glib Dmytriiev, Masha Matsiiako, and Pavlo Shekhet, “Lagrange’s Theorem” (mentor Dr. Vanya Yakovlev)

Monday, May 15

8:00-11:00 am (Boston) [15:30-18:00 (Kyiv)]: Session 2

• Ivan Balashov and Maksym Torianyk, “Knots and Reidemeister Theorem” (mentor Roman Krutowski, University of California, Los Angeles)
• Artem Chernii, Davyd Poplyonkin, and Andrii Smutchak, “Weighing the Odds: A Probabilistic Approach to Coin Weighing” (mentor Anton Trygub, MIT)
• Constantine Bulavenko and Yaroslav Molybog, “Distinguishing Knots: The Jones Polynomial and Integer Invariants” (mentor Julius Baldauf, MIT)
• Yaroslav Ibragimov, Dmytro Kulish, and Dang Minh Kong, “The Generalized Stokes’ Theorem and its Applications” (mentor Kyrylo Muliarchyk, University of Texas at Austin)
• Volodymyr Chub, Maksym Petrenko, and Stanislav Surmylo, “Riemann integral in higher dimensions” (mentor Maksym Chaudkhari, University of Texas at Austin)
• Sophia Breslavets, Igor Goldanskii, and Denys Honcharov, “Proof of Abel’s theorem” (mentor Elizaveta Nesterova, Technion – Israel Institute of Technology)
• Semen Andriets and Borys Holikov, “Partial orderings of minors in the positive Grassmannian” (mentor Yelena Mandelshtam, University of California, Berkeley)
• Severyn Khomych, Nazar Korniichuk, and Kostiantyn Molokanov, “The Pak-Postnikov and Naruse skew hook length formulas: A new proof” (mentor Prof. Darij Grinberg, Drexel University)

11:00 am (Boston) [18:00 (Kyiv)]: Session 3

• Prof. Andrey Gogolev (Ohio State University), Welcome from the International Centre for Mathematics in Ukraine (ICMU)
• Prof. Maryna Viazovska (École Polytechnique Fédérale de Lausanne; winner of the Fields Medal 2022), “The story of almost impossible Leech lattice”

Contact

With questions, contact PRIMES Program Director Slava Gerovitch at primes@math.mit.edu