- 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
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>...
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...
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.