Alexander A. Voronov

ORCID: 0000-0003-2782-0618
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About
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Research Areas
  • Homotopy and Cohomology in Algebraic Topology
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Black Holes and Theoretical Physics
  • Algebraic Geometry and Number Theory
  • Nonlinear Waves and Solitons
  • Advanced Algebra and Geometry
  • Geometry and complex manifolds
  • Advanced Image Processing Techniques
  • Advanced Vision and Imaging
  • Image and Video Quality Assessment
  • Advanced Operator Algebra Research
  • Image Enhancement Techniques
  • Topological and Geometric Data Analysis
  • Advanced Algebra and Logic
  • Psychology of Development and Education
  • Algorithms and Data Compression
  • Mathematical Dynamics and Fractals
  • Algebraic and Geometric Analysis
  • History and Theory of Mathematics
  • Mathematics and Applications
  • Particle accelerators and beam dynamics
  • Computational Physics and Python Applications
  • Advanced Image and Video Retrieval Techniques
  • Mathematical Analysis and Transform Methods

University of Minnesota
2009-2023

The University of Tokyo
2017-2022

University of Tyumen
2018

Lomonosov Moscow State University
1992-2013

University of Minnesota System
2001-2007

Michigan State University
2000

Massachusetts Institute of Technology
1999

Max Planck Institute for Mathematics
1999

Max Planck Society
1999

University of Pennsylvania
1994-1997

Homotopy G -algebras and moduli space operad Get access Murray Gerstenhaber, Gerstenhaber Search for other works by this author on: Oxford Academic Google Scholar Alexander A. Voronov International Mathematics Research Notices, Volume 1995, Issue 3, Pages 141–153, https://doi.org/10.1155/S1073792895000110 Published: 01 February 1995 Article history Received: 24 January

10.1155/s1073792895000110 article EN International Mathematics Research Notices 1995-01-01

10.1007/s002200050541 article EN Communications in Mathematical Physics 1999-02-01

10.1007/bf01077036 article EN Functional Analysis and Its Applications 1995-01-01

10.1007/bf01218264 article EN Communications in Mathematical Physics 1988-03-01

10.1007/bf01244304 article EN Inventiones mathematicae 1993-12-01

10.1007/s00220-023-04643-7 article EN Communications in Mathematical Physics 2023-03-06

Creating and processing stereoscopic video imposes additional quality requirements related to view synchronization. In this work we propose a set of algorithms for detecting typical stereoscopic-video problems, which appear owing imprecise setup capture equipment or incorrect postprocessing. We developed methodology analyzing the S3D motion pictures revealing their most problematic scenes. then processed 10 modern stereo films, including <i>Avatar</i>, <i>Resident Evil: Afterlife</i>...

10.1117/12.2008485 article EN Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE 2013-03-12

This paper reemphasizes the ubiquitous role of moduli spaces algebraic curves in associative algebra and topology. The main results are: (1) space an operad with multiplication is a homotopy G- (i.e., graded Poisson) algebra; (2) singular cochain complex naturally operad; (3) decorated acts on de Rham $Ω^\bullet X$ Kähler manifold $X$, thereby yielding most general type G-algebra structure X$. One reasons to put this operadic nonsense physics bulletin board that we use typical construction...

10.48550/arxiv.hep-th/9409063 preprint EN other-oa arXiv (Cornell University) 1994-01-01

10.1007/bf01098184 article EN Journal of Soviet Mathematics 1990-08-01

10.1007/s40062-016-0129-z article EN Journal of Homotopy and Related Structures 2016-04-13

Generalizing a conjecture of Deligne, Kontsevich proposed that there should be notion Hochschild cohomology algebras over the little cube operad (or its chain complex) which in natural way generalizes associative algebras. He moreover conjectured cohomology, this new sense, an algebra k-cube is (k + 1)-cube operad. In paper, we precisely state and prove conjecture.

10.1112/s0010437x05001521 article EN Compositio Mathematica 2006-01-01

10.1007/bf01225506 article EN Communications in Mathematical Physics 1989-09-01

10.1016/j.aim.2008.03.022 article EN publisher-specific-oa Advances in Mathematics 2008-04-23

10.1007/bf02362471 article EN Journal of Mathematical Sciences 1996-10-01
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