Sergey Nikolenko

Sergey Nikolenko

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Research papers
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Popular science
Other stuff

   Research
CS and crypto
Bioinformatics
Machine learning
Algebraic geometry
Algebra
Bayesian networks
Earth sciences

   Teaching
 2014
ML, KFU
Game Theory, HSE
Mech. Design, HSE
ML, CSClub Kazan
Game theory, HSE
Math. logic, AU
Machine learning, STC
Machine learning, AU
 2013
Discrete math, HSE
Machine learning, STC
Math. logic, AU
Cryptography, AU
 2012
Machine learning, STC
Math. logic, AU
Machine learning II, AU
Machine learning, AU
Machine learning, EMC
 2011
Cryptography, AU
Math. logic, AU
Machine learning, AU
 2010
Math. logic, AU
Machine learning, AU
Cryptography, AU
 2009
Crypto in CS Club
Statistics
Machine learning, AU
Cryptography
 2008
Speech recognition
MD for CS Club
ML for CS Club
Mechanism design
 2007
Machine Learning
Probabilistic learning

  External links
Google Scholar profile
DBLP profile
LiveJournal account
userinfonikolenko (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

  1. 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)
  2. 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)
  3. 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)