Ilya Shapiro

Mathematics · Physical Sciences

8h-index241citations70works0.02yr avg
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Research Topics

Algebraic structures and combinatorial models(31), Advanced Topics in Algebra(26), Advanced Algebra and Geometry(15), Homotopy and Cohomology in Algebraic Topology(14), Cosmology and Gravitation Theories(12)

Publications65 total

Six-dimensional cosmological models with conformal extensions
arXiv (Cornell University)·2025Open Access
Renormalization group corrections to $Λ$CDM model and observational consequences for $H_0$ tension
arXiv (Cornell University)·2025Open Access
Bounce solutions with quantum vacuum effects of massive fields and subsequent Starobinsky inflation
arXiv (Cornell University)·2025Open Access
Hopf-cyclic coefficients in the braided setting
Journal of Noncommutative Geometry·2024Open Access
Scale-dependent cosmology from effective quantum gravity in the invariant framework
arXiv (Cornell University)·2024Open Access
The Background Information About Perturbative Quantum Gravity
2024
The Background Information About Perturbative Quantum Gravity
2023· 1 cited
The background information about perturbative quantum gravity
arXiv (Cornell University)·2022Open Access
Anomaly-induced vacuum effective action with torsion: Covariant solution and ambiguities
Physical review. D/Physical review. D.·2022Open Access
Effective quantum gravity, cosmological constant, and the Standard Model of particle physics
Physical review. D/Physical review. D.·2022Open Access
Trace anomaly and induced action for a metric-scalar background
arXiv (Cornell University)·2022Open Access
Universal leading quantum correction to the Newton potential
The European Physical Journal C·2022· 24 citedOpen Access
Mixed vs Stable Anti-Yetter-Drinfeld Contramodules
Symmetry Integrability and Geometry Methods and Applications·2021· 2 citedOpen Access
Polarized-VAE: Proximity Based Disentangled Representation Learning for Text Generation
2021· 6 citedOpen Access
Invariance properties of cyclic cohomology with coefficients
Journal of Algebra·2019· 1 cited
Categorified Chern character and cyclic cohomology
arXiv (Cornell University)·2019· 1 citedOpen Access
On the anti-Yetter–Drinfeld module-contramodule correspondence
Journal of Noncommutative Geometry·2019· 2 citedOpen Access
A Categorical Approach to Cyclic Cohomology of Quasi-Hopf Algebras and Hopf Algebroids
Applied Categorical Structures·2018· 1 citedOpen Access
Anti-Yetter-Drinfeld Modules for Quasi-Hopf Algebras
Symmetry Integrability and Geometry Methods and Applications·2018· 2 citedOpen Access
Monoidal Categories, 2-Traces, and Cyclic Cohomology
Canadian Mathematical Bulletin·2018· 8 citedOpen Access
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Frequent Co-authors

Steven Duplij(66), Władysław Marcinek(30), Roberto Floreanini(19), Stephan Narison(18), Robert Marnelius(17), Shahn Majid(11), Antoine Van Proeyen(10), Jian-zu Zhang(10), Steven Duplij(10), Peter Jarvis(10), Steven Duplij(10), Władysław Marcinek(9), Yan Soibelman(8), Anatoli Klimyk(8), Shahn Majid(7), Martin Schlichenmaier(6), Warren Siegel(6), Malte Henkel(6), Albert Schwarz(5), Dimitry Leites(5)