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) (slides)
• Yehor Avdieiev, “Affine standard Lyndon words” (mentor Prof. Alexander Tsymbaliuk, Purdue University) (slides)



• 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) (slides)



• Alexander Borodin, Martin Leshko, and Marina Spektrova, “Combinatorial Hikita Conjecture” (mentor Dr. Andrei Ionov, Boston College) (slides)



• Glib Dmytriiev, Masha Matsiiako, and Pavlo Shekhet, “Lagrange’s Theorem” (mentor Dr. Vanya Yakovlev) (slides)

Monday, May 15

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

• Ivan Balashov and Maksym Torianyk, “Knots and Reidemeister Theorem” (mentor Roman Krutowski, University of California, Los Angeles) (slides)
• Artem Chernii, Davyd Poplyonkin, and Andrii Smutchak, “Weighing the Odds: A Probabilistic Approach to Coin Weighing” (mentor Anton Trygub, MIT) (slides)



• Constantine Bulavenko and Yaroslav Molybog, “Distinguishing Knots: The Jones Polynomial and Integer Invariants” (mentor Julius Baldauf, MIT) (slides)
• Yaroslav Ibragimov, Dmytro Kulish, and Dang Minh Kong, “The Generalized Stokes’ Theorem and its Applications” (mentor Kyrylo Muliarchyk, University of Texas at Austin) (slides)



• Volodymyr Chub, Maksym Petrenko, and Stanislav Surmylo, “Riemann integral in higher dimensions” (mentor Maksym Chaudkhari, University of Texas at Austin) (slides)



• Sophia Breslavets, Igor Goldanskii, and Denys Honcharov, “Proof of Abel’s theorem” (mentor Elizaveta Nesterova, Technion – Israel Institute of Technology) (slides)



• Semen Andriets and Borys Holikov, “Partial orderings of minors in the positive Grassmannian” (mentor Yelena Mandelshtam, University of California, Berkeley) (slides)



• 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) (slides)

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 nearly impossible Leech lattice” (slides in English and Ukrainian )

Contact

With questions, contact PRIMES Program Director Slava Gerovitch at