I used to work on several research projects in Topological Dynamics with Professor Sergiï Kolyada. We published two articles
Wen Huang, Danylo Khilko, Sergii Kolyada, Guohua Zhang. Dynamical compactness and sensitivity. Journal of Differential Equations 260(9):6800–6827
Wen Huang, Danylo Khilko, Sergiĭ Kolyada, Alfred Peris & Guohua Zhang. Finite Intersection Property and Dynamical Compactness. Journal of Dynamics and Differential Equations 30, pages 1221–1245(2018)
During my internship at the Institute of Science and Technology in 2016 (scholarship: OeAD Sonderstipendien, financed by IST Austria, awarded by OeAD-GmbH)
I worked on Cryptography project with Professor Krzysztof Pietrzak and contributed to
Hamza Abusalah, Joël Alwen, Bram Cohen, Danylo Khilko, Krzysztof Pietrzak and Leonid Reyzin. Beyond Hellman’s Time-Memory Trade-Offs with Applications to Proofs of Space. Conference: International Conference on the Theory and Application of Cryptology and Information Security.
I am the author of several research articles in Eucledean geometry:
Danylo Khilko. Some properties of intersection points of Euler line and orthotriangle. Journal of Classical Geometry. Volume 3 (2014), 35-42.
Danylo Khilko. About the midpoints of altitudes in triangle. In the world of mathematics. Volume 20, no. 4 (2014), 34-44. (Ukrainian)
Danylo Khilko and Francesco Sala. The Line Joining Conjugated Conjugances. Never published preprint.
Danylo Khilko. The line joining two orthocenters. In the world of mathematics. Volume 23, (2017), 26-34. (Ukrainian)
And in popular math:
Danylo Khilko and Anastasiia Kucherenko. Markov Chains and Shuffling of a Deck of Playing Cards. Volume 24 (2018), 64-73. (Ukrainian)