Sergey Nikolenko
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Algebra';
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2014';
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ML, KFU';
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Game Theory, HSE';
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ML, CSClub Kazan';
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Game theory, HSE';
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Math. logic, AU';
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Machine learning, STC';
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Machine learning, AU';
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2013';
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Discrete math, HSE';
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Machine learning, STC';
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Math. logic, AU';
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Cryptography, AU';
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2012';
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Machine learning, STC';
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Math. logic, AU';
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Machine learning II, AU';
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Machine learning, AU';
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Machine learning, EMC';
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2011';
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Cryptography, AU';
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Math. logic, AU';
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Machine learning, AU';
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2010';
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Math. logic, AU';
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Machine learning, AU';
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Cryptography, AU';
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2009';
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Crypto in CS Club';
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Statistics';
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Machine learning, AU';
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Cryptography';
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2008';
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Speech recognition';
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MD for CS Club';
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ML for CS Club';
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Mechanism design';
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2007';
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Machine Learning';
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Probabilistic learning';
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nikolenko (in Russian)
Algebra
Bio excerpt
My work in algebra was done in St.-Petersburg State University under the supervision of Dr. Nikolai Alexandrovich Vavilov and dealt with structure theorems for algebraic groups. Dr. Vavilov together with M. Gavrilovich developed a nice way to prove the structure theorems (proudly yet deservedly named «The proof from the Book») which they applied to groups of type E6 and E7. I was able to extend the result to groups of type F4, and Dr. Vavilov later noted that the very same reasoning would also apply to 2E6. The results for F4 required discretion between long and short roots in that root system and laborous calculations, and there does not seem to be any room for improvement in this case. My M. Sc. thesis consisted of the proof for F4.Publications
- N.A. Vavilov, S.I. Nikolenko. A2-proof of structure theorems for Chevalley groups of type F4, Algebra i Analiz, vol. 20, no. 4, 2008, pp. 27-63; translated in St. Petersburg Mathematical Journal, vol 20, no. 4, 2009, pp. 527-551. (.pdf, 368kb, in Russian)
- M.R. Gavrilovich, S.I. Nikolenko, N.A. Vavilov. Structure of Chevalley Groups: the Proof from the Book. Zapiski nauchnyh seminarov POMI, vol. 330, 2006, pp. 36-76; translated in Journal of Mathematical Sciences, vol. 140, no. 5, 2007, pp. 626-645. (.pdf, 379kb, in Russian)
- S.I. Nikolenko. A2-proof of structure theorems for Chevalley groups of type F4. M. Sc. thesis. St-Petersburg State University, 2005. (.pdf, 291kb, in Russian)