Rui Loja Fernandes | Academic Influence

Rui Loja Fernandes's AcademicInfluence.com Rankings

Rui Loja Fernandes

Mathematics

#5792

World Rank

#8121

Historical Rank

Algebraic Geometry

#236

World Rank

#247

Historical Rank

Measure Theory

#4261

World Rank

#5020

Historical Rank

mathematics Degrees

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Mathematics

Rui Loja Fernandes's Degrees

Masters Mathematics Stanford University
Bachelors Mathematics Princeton University

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Why Is Rui Loja Fernandes Influential?

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According to Wikipedia, Rui António Loja Fernandes is a Portuguese mathematician working in the USA. Education and career Fernandes obtained a bachelor's degree in Physics Engineering at Instituto Superior Técnico in 1988. He then moved to the USA and earned a master's degree in Mathematics in 1991 and a PhD in Mathematics in 1994 from the University of Minnesota. His PhD thesis was entitled "Completely Integrable bi-Hamiltonian Systems" and has been written under the supervision of Peter J. Olver.

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Rui Loja Fernandes's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Integrability of Lie brackets (2001) (485)
Integrability of Poisson Brackets (2002) (257)
Lie Algebroids, Holonomy and Characteristic Classes (2000) (257)
Connections in Poisson geometry. I. Holonomy and invariants (2000) (142)
Lectures on integrability of Lie brackets (2006) (114)
Completely integrable bi-Hamiltonian systems (1994) (46)
On the master symmetries and bi-Hamiltonian structure of the Toda lattice (1993) (44)
Secondary characteristic classes of Lie algebroids (2005) (43)
The momentum map in Poisson geometry (2007) (43)
Riemannian metrics on Lie groupoids (2014) (42)
From the Toda lattice to the Volterra lattice and back (2002) (37)
Dynamics of the Attractor in the Lotka–Volterra Equations☆☆☆ (1998) (36)
Hyperelliptic Prym Varieties and Integrable Systems (2000) (34)
Anomalous magnetic moment of quarks (1998) (33)
Lectures on Poisson Geometry (2021) (30)
INTEGRABLE HIERARCHIES AND THE MODULAR CLASS (2006) (27)
A geometric approach to Conn's linearization theorem (2008) (27)
Stability of symplectic leaves (2008) (26)
Poisson fibrations and fibered symplectic groupoids (2007) (23)
Riemannian metrics on differentiable stacks (2016) (23)
Linearization of Poisson Brackets (2004) (21)
Rigidity and Flexibility in Poisson Geometry (2005) (21)
Integrability of Poisson–Lie Group Actions (2009) (21)
Poisson manifolds of compact types (PMCT 1) (2015) (21)
Global Action-Angle Variables for Non-Commutative Integrable Systems (2015) (18)
Regular poisson manifolds of compact types (2019) (16)
A h-principle for symplectic foliations (2010) (15)
The modular class of a Poisson map (2011) (15)
Regular Poisson manifolds of compact types (PMCT 2) (2016) (14)
Integrability and Reduction of Hamiltonian Actions on Dirac Manifolds (2013) (13)
Hamiltonian dynamics of the Lotka-Volterra equations (1998) (13)
Invariants of Lie algebroids (2002) (11)
Integrability of the periodic KM system (1997) (10)
The Classifying Lie Algebroid of a Geometric Structure I: Classes of Coframes (2011) (10)
Exotic Characteristic Classes of Lie Algebroids (10)
Picard groups of Poisson manifolds (2015) (10)
Lie Algebroids and Classification Problems in Geometry (2007) (7)
A Functional Correlation for the Primary Breakup Processes of Liquid Sheets Emerging From Air-Assist Atomizers (2007) (7)
Associativity and integrability (2018) (7)
The symplectization functor (2006) (7)
Integration of Coupling Dirac Structures (2014) (6)
Deformation quantization and Poisson geometry (2000) (3)
The Global Solutions to Cartan's Realization Problem (2019) (3)
On deformations of compact foliations (2018) (3)
INTEGRABILITY OF LIE BRACKETS MARIUS CRAINIC AND RUI LOJA FERNANDES (2001) (3)
A Note on Poisson Symmetric Spaces † (2007) (2)
Normal Forms and Lie Groupoid Theory (2014) (2)
Multiplicative Ehresmann connections (2022) (1)
A Note on Proper Poisson Actions (2005) (1)
Poisson vs. Symplectic Geometry (2019) (1)
The classifying Lie algebroid of a geometric structure II: G-structures with connection (2021) (1)
Poisson geometry around Poisson submanifolds (2022) (0)
L'INSTITUT FOURIER (2008) (0)
Lie Algebroids, Holonomy and Characteristic Classes Introduction and Basic Definitions (2008) (0)
O INTEGRAL DE LEBESGUE (0)
Geometry and physics : XVI International fall Workshop, Lisbon, Portugal, 5-8 September 2007 (2008) (0)
Contemporary Mathematics Poisson Fibrations and Fibered Symplectic Groupoids Olivier Brahic and Rui Loja Fernandes (2007) (0)
Symmetry beyond groups (2004) (0)
Back Matter for Volume 1023 (2008) (0)
Front Matter for Volume 1023 (2008) (0)
INTEGRABLE BI-HAMILTONIAN SYSTEMS (2007) (0)
Deformation Quantization and Poisson Geometry Contents (2012) (0)
A Conversation with Alan Weinstein (2023) (0)
N ov 2 00 6 Lectures on Integrability of Lie Brackets Marius Crainic (2006) (0)
Cosymplectic groupoids (2023) (0)
Poisson Geometry and Applications (2007) (0)
Local and global integrability of Lie brackets (2021) (0)
N ov 2 00 6 Lectures on Integrability of Lie Brackets (2018) (0)
Rigidity and Flexibility in Poisson Geometry by Marius Crainic and Rui Loja Fernandes (2005) (0)
Genus Integration, Abelianization, and Extended Monodromy (2018) (0)
Preface to this special issue [Geometry Summer School] (2010) (0)
Lectures on Differential Geometry (2022) (0)
Contravariant connections on Poisson manifolds (1999) (0)
Riemannian metrics on differentiable stacks (2018) (0)
Riemannian submersions of groupoids and a stacky Ehresmann's theorem (2016) (0)

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