Long Bio
Sergey Nikitin’s research is focused on optimization, control, automation and related computational methods. His most recent work presents the discovery of new numerical procedure of finding global extrema (Leap Gradient Algorithm). Much effort is dedicated to applying newly discovered mathematical methods to real world applications, in particular in finance and computer science. The software platform was developed (see http://i-oblako.org ) in order to test and rapidly implement automation and control algorithm for wide verity of applications.
Publications
Sergey Nikitin. Leap Gradient Algorithm. http://arxiv.org/pdf/1405.5548.pdf arXiv.org > math > arXiv:1405.5548 (2014).
Sergey Nikitin. Stabilization of nonlinear systems with semi-quadratic cost. Acta Applicandae Mathematicae (2008).
Sergey Nikitin. Generalized persistency of excitation. International Journal of Mathematics and Mathematical Sciences (2007).
Sergey Nikitin. Time-Dependent Vector Stabilization. International Journal of Mathematics and Mathematical Sciences (2006).
Nikitin, Sergey. Coxeter Groups and Stellar Manifolds. Geometry and Topology (2004).
Sergey Nikitin. Manual for GNU6. http://gnu6.org (2003).
Sergey Nikitin. Control synthesis for Chaplygin polynomial systems. Acta Applicandae Mathematicaer (2000).
Courses
2025 Spring
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2024 Fall
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2024 Spring
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2023 Fall
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2023 Spring
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2022 Fall
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2022 Spring
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2021 Fall
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2021 Summer
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2021 Spring
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2020 Fall
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2020 Summer
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2020 Spring
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Presentations
Nikitin, Sergey. Generalized persistency of excitation. Analysis / PDE Seminar (Nov 2006).
Nikitin, Sergey. System design and integration with GNU6. LM-ASU seminar (Sep 2005).
Nikitin, Sergey. Stellar Manifold Theory. C*-algebras seminar (Feb 2005).
Nikitin, Sergey. Data Mining and Indexing of Information. Mathematics and Cognition Seminar, Department of Mathematics (Sep 2001).
Service
mathlectures.com, key developer (2005 - Present)
GNU6, key developer (2003 - Present)
GNU6, key developer (2003 - Present)
IndexOffice.com, key developer (2000 - Present)
The Barrett Honors College, Honors Disciplinary Faculty (2005 - 2006)
Calculus Oversight committe, member (2005 - 2006)
Calculus Oversight committe, member (2004 - 2005)
Affirmative Action committee, member (2004)
lecture/Instructor evaluation committee, Chair (2003)
Mathematical Reviews, Reviewer (1996 - 2002)
Calculus/Engineering Liaison committee, Member (2001 - 2001)
Advisory Editorial Board, Modeling and Simulation in Science, Engineering and Technology, Birkhauser, Berlin, Member (1996 - 2001)
Linux, Arizona, Consultant (1996 - 2001)
Computing Facilities Committee, Member (2000 - 2000)
