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Andres Ignacio Navas Flores

Full time Professor

DPTO DE MATEMATICA Y CC, USACH

Santiago, Chile

Geometry, Group Theory, Dynamical Systems

Mathematics, Universite d'Orsay Paris 11. Francia, 2000
Mathematics, IMPA. Brasil, 1999
Mathematics, Universidad de Santiago de Chile. Chile, 1998
mathematics, ECOLE NORMALE SUPERIEURE DE LYON. Francia, 2003

post-doc Full Time

IHES (Institut des Hautes Etudes Scientifiques)

Francia

2004 - 2005
Profesor Asociado Full Time

UNIVERSIDAD DE SANTIAGO DE CHILE

Science

Santiago, Chile

2007 - At present
Profesor Part Time

UNIVERSIDAD DE CHILE

Science

Santiago, Chile

2007 - 2013
Assistant Professor Part Time

UNIVERSIDAD DE CHILE

Science

Santiago, Chile

2004 - 2006

Supervision of Postdocs:
- Mahsa Allahbakhshi, USACH (2015-2016).
- Matthieu Calvez, USACH, Fondecyt (2013-2014) and USACH (2015-2016),
- Mahdi Teymuri Garakani, USACH, Dicyt (2013-2014),
- Mickael Crampon, USACH, Fondecyt (2011-2013),
- Alvaro Castañeda, U. de Chile, Fondecyt (2010-2012)

- Carlos Gómez, USACH (2006), undergraduate.
- Leslie Jiménez, U. de Chile (2006-2008), Master Thesis: Aspectos dinámicos de grupos ordenables.
- Eduardo Jorquera, U. de Chile (2006-2009), PhD Thesis: On groups of diffeomorphisms of the circle and the interval.
- Cristóbal Rivas, Univ. de Chile (2008-2010), PhD Thesis: Left-orderable groups.
- Gonzalo Castro, USACH (2013, co-advised with R. Tessera from ENS Lyon), PhD Thesis: On certain probabilistic aspects of groups, graphs, and actions.
- Rodolfo Viera, USACH (2016-2020): PhD Thesis: On the geometry of discrete sets.
- Gleen Foos, Master USACH (expected for 2021).
- Leinardo Dinamarca, PhD USACH (expected for 2022).

Publications:
Books:
- Groups of Circle Diffeomorphisms. Chicago Lectures in Mathematics, University of Chicago Press (2011).
Versión en castellano publicada en Ensaios Matemáticos, Soc. Brasileira de Mat. (2007).
- Groups, Orders, and Dynamics (junto a B. Deroin and C. Rivas). Submitted to American Math. Society. Prepublished http://arxiv.org/abs/1408.5805
- Un Viaje a las Ideas. Editorial Planeta (dissemination book).
- Lecciones de Matemáticas para el Recreo. Editorial Planeta (dissemination book).

- Miembro del comité académico de la Olimpiada Nacional de Matemática desde 2006.
- Miembro del comité organizador permanente del Festival de Matemática.
- Columnista de divulgación matemática para El Mostrador, RedCiencia (CONICYT), Chile Científico e Images des Mathématiques (CNRS); en esta última revista especializada, autor de 13 artículos bilingües:
- Un caso de inconciencia (?)
- Un viaje entretenido: problemas de matemáticas en el metro.
- Un error geométrico en la Liga de Campeones.
- Una bandera áurea perdida en la historia.
- Una nueva prueba del teorema de Pitágoras.
- Un pequeño teorema de distanciamiento físico.
- Otro teorema de distanciamiento físico.
- Regalando cuadrados mágicos.
- El cuadrado mágico de Khajuraho es un hipercubo.
- La cuadratura del triángulo.
- Más matemáticas en un balón de fútbol.
- ¿Cómo multiplicar sin saber las tablas de multiplicación? (junto a J. Levrault)
- ¿Cómo multiplicar conociendo apenas la tabla del 2? (junto a J. Levrault)
- Presentaciones en actividades culturales como:
- Festival Puerto de Ideas de Antofagasta (2028).
- Feria del Libro de Guadalajara (2018).
- Inauguración del Museo de Ciencia de la UNAM (2020).
- Festival les Maths dans tous leurs états, Toulouse (2021).
- Festival de Matemáticas de Serbia (2021).

Mathematical OCuncil of the Americas Prize

Mathematical Council of the Americas

México, 2013

Five prizes have been awarded to mathematicians who have obtained their PhD. 12 years at the most, previous to the beginning of the Congress from an institution in the American continent, or they actually hold a position in one or more of its countries. These awardees have contributed with outstanding mathematical achievements in their early stages of their careers.
William Hodge felowship

Institut des Hautes Etudes Scietifiques

Francia, 2004

The William Hodge Fellowships offers one young researcher in mathematics or theoretical physics a postdoctoral position at IHÉS of one or two years. The fellowship, named after Sir William Hodge, the eminent British mathematician whose speciality was algebra and differentila geometry, was created in 2001 in partnership with the Engineering and Physical Sciences Research Council (EPSRC). The EPSRC, based in London, has been supporting the Institut des Hautes Études Scientifiques for many years, in order to develop links between the British and French research institutions. It encourages British mathematicians and theoretical physicists to apply to IHÉS.
Chilean Math Olympiads

Math Olympiads

Chile, 1991

Silver Medal
Chilean Math Olympiads

Math Olympiads

Chile, 1992

Silver Medal
Math Olympiads Cono Sur

Math Olympiads

Chile, 1991

Gold Medal
Iberoamerican Math Olympiads

Math Olympiads

Chile, 1993

Gold Medal
Iberoamerican Math Olympiads

Math Olympiads

Chile, 1994

Gold Medal
Jorge Billeke award for undergraduate studies

UNIVERSIDAD DE CHILE

Chile, 1999

Jorge Billeke award for undergraduate studies.
Premio UMALCA

Union Matemática de América Latina y El Caribe

Colombia, 2016

Premio por investigación científica en matemática otorgado a 4 matemáticos latinoamericanos des hasta 40 años entregado cada 4 años en el marco del Congreso UMALCA.
Invited Speaker ICM

International Mathematical Union

Brasil, 2018

Invitation to deserve a 45 minutes talk in the Special Session "Dynamical Systems and Ordinary Differential Equations" of the 2018 ICM (the most important conference in mathematics in the world.)
Premio a la excelencia en vinculación con el medio

UNIVERSIDAD DE SANTIAGO DE CHILE

Chile, 2020

Reconocimiento al trabajo de divulgación desarrollado desde la universidad.


Uniformly perfect finitely generated simple left orderable groups Yash Lodha, James Hyde, Andrés Navas, Cristóbal Rivas Article ERGODIC THEORY AND DYNAMICAL SYSTEMS (2020)
Groups with infinitely many ends acting analytically on the circle S. Álvarez, D. Filimonov, V. Kleptsyn, D. Malicet, C. Meniño, A. Navas y M. Triestino Article JOURNAL OF TOPOLOGY (2019)
Group actions on 1-manifolds=> a list of very concrete questions Article Proceedings of the International Congress of Mathematicians (2018)
On the ergodic theory of free group actions by real-analytic circle diffeomorphisms Deroin, B; Kleptsyn, V; Navas, A Article INVENTIONES MATHEMATICAE (2018)
On the sharp regularity for arbitrary actions of nilpotent groups on the interval=> the case of N-4 Jorquera, E; Navas, A; Rivas, C Article ERGODIC THEORY AND DYNAMICAL SYSTEMS (2018)
WANDERING DOMAINS FOR DIFFEOMORPHISMS OF THE k-TORUS=> A REMARK ON A THEOREM BY NORTON AND SULLIVAN Navas, A Article ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA (2018)
Rigidity for C-1 actions on the interval arising from hyperbolicity I=> solvable groups Bonatti C., Monteverde I.; Navas A., Rivas C. Article MATHEMATISCHE ZEITSCHRIFT (2017)
A remark concerning bi-Lipschitz equivalence of Delone sets Navas, A Article Comptes rendus de l'Académie des sciences. Série 1, Mathématique (2016)
Open problems and conjectures related to the Theory of Mathematical Quasicrystals. F. Adiceam, aportan D. Damanik; F. Gähler, U. Grimm; A. Haynes, A. Julien; A. Navas, L. Sadun Article Arnold Math. Journal. (2016)
A geometric path from zero Lyapunov exponents to rotation cocycles Bochi, Jairo; Navas, Andres Article ISI SCOPUS Ergodic Theory and Dynamical Systems (2015)
A geometric path from zero Lyapunov exponents to rotation cocycles Andrés Navas; Jairo Bochi Article Erg. Theory and Dyn. Systems (2015)
Algunas consideraciones geométricas sobre el diseño de la bandera de la Independencia de Chile. Andrés Navas Article Revista Bicentenario (2015)
Almost reduction and perturbation of matrix cocycles Bochi, J Article Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire (2014)
Almost reduction and perturbation of matrix cocycles Bochi, J; Navas A. Article ISI SCOPUS ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE (2014)
Almost reduction and perturbation of matrix cocycles Andrés Navas; Jairo Bochi Article Annales de l’Institut Poincaré (2014)
On the reconciliation by cojugation in 1 dimension and classification C1 Navas A. Article ISI COMPOSITIO MATHEMATICA (2014)
Sharp regularity for certain nilpotent group actions on the circle G. Castro, E. Jorquera, A. Navas Article Math. Annalen 359 N°1-2 (2014)
Sharp regularity for certain nilpotent group actions on the interval Castro, Gonzalo; Jorquera Eduardo; Navas, Andres Article ISI SCOPUS MATHEMATISCHE ANNALEN (2014)
Sur les rapprochements par conjugaison en dimension 1 et classe Navas, Andres Article SCOPUS Compositio Mathematica (2014)
A Livsic type theorem for germs of analytic diffeomorphisms Navas A.; Ponce M. Article ISI SCOPUS Nonlinearity (2013)
A Livsic type theorem for germs of analytic diffeomorphisms Andrés Navas; Mario Ponce Article Nonlinearity 26 N° 1 (2013)
An L-1 ergodic theorem with values in a non-positively curved space via a canonical barycenter map Navas A. Article ISI SCOPUS Ergodic Theory and Dynamical Systems (2013)
ON BOUNDED COCYCLES OF ISOMETRIES OVER MINIMAL DYNAMICS CORONEL D.; Navas A.; Ponce M. Article ISI SCOPUS Journal of Modern Dynamics (2013)
ON CENTRALIZERS OF INTERVAL DIFFEOMORPHISMS IN CRITICAL (INTERMEDIATE) REGULARITY Navas A. Article ISI SCOPUS Journal d'Analyse Mathematique (2013)
On the invariant distributions of C-2 circle diffeomorphisms of irrational rotation number Navas A.; Triestino M. Article ISI SCOPUS Mathematische Zeitschrift (2013)
SYMMETRIC RANDOM WALKS ON Homeo(+)(R) Deroin, B; Kleptsyn V.; Navas A.; Parwani, K Article ISI SCOPUS Annals of Probability (2013)
On the dynamics of nonreducible cylindrical vortices CORONEL D.; Navas A.; Ponce M. Article ISI SCOPUS Journal of the London Mathematical Society (2012)
A remarkable family of left-ordered groups: Central extensions of Hecke groups Navas A. Article ISI SCOPUS Journal of Algebra (2011)
Nielsen-Thurston orders and the space of braid orderings Navas A.; Wiest, B Article ISI SCOPUS Bulletin of the London Mathematical Society (2011)
A finitely generated, locally indicable group with no faithful action by C-1 diffeomorphisms of the interval Navas A. Article ISI SCOPUS Geometry and Topology (2010)
Describing all bi-orderings on Thompson's group F Navas A.; Rivas, C Article ISI SCOPUS Groups, Geometry, and Dynamics (2010)
ON THE DYNAMICS OF (LEFT) ORDERABLE GROUPS Article Annales de l'Institut Fourier (2010)
ON THE DYNAMICS OF (LEFT) ORDERABLE GROUPS Navas A. Article ISI ANNALES DE L INSTITUT FOURIER (2010)
A new characterization of Conrad's property for group orderings, with applications Navas A.; Rivas, C Article ISI SCOPUS ALGEBRAIC AND GEOMETRIC TOPOLOGY (2009)
ON THE QUESTION OF ERGODICITY FOR MINIMAL GROUP ACTIONS ON THE CIRCLE Deroin, B; Kleptsyn V.; Navas A. Article ISI MOSCOW MATHEMATICAL JOURNAL (2009)
A continuous Bowen-Mane type phenomenon Munoz-Young, E; Navas A.; Pujals, E; Vasquez, CH Article ISI DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2008)
A DENJOY TYPE THEOREM FOR COMMUTING CIRCLE DIFFEOMORPHISMS WITH DERIVATIVES HAVING DIFFERENT HOLDER DIFFERENTIABILITY CLASSES Kleptsyn V.; Navas A. Article ISI MOSCOW MATHEMATICAL JOURNAL (2008)
Growth of groups and diffeomorphisms of the interval Navas A. Article ISI SCOPUS GEOMETRIC AND FUNCTIONAL ANALYSIS (2008)
Sur la dynamique unidimensionnelle en régularité intermédiaire Deroin, B; Kleptsyn V.; Navas A. Article ACTA MATHEMATICA (2007)
The unidimensional dynamic of intermediary regularity Deroin, B; Kleptsyn, V Article ACTA MATHEMATICA (2007)
On uniformly quasisymmetric groups of circle diffeomorphisms Navas A. Article ISI ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA (2006)
Reduction of cocycles and groups of diffeomorphisms of the circle Navas A. Article ISI SCOPUS BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN (2006)
Quelques nouveaux phénomènes de rang 1 pour les groupes de difféomorphismes du cercle Navas A. Article Commentarii Mathematici Helvetici (2005)
Several new grade 1 phenomena for circle diffeomorphism groups Navas A. Article ISI Commentarii Mathematici Helvetici (2005)
Groupes résolubles de difféomorphisms de l'intervalle, du cercle et de la droite ANDRES NAVAS Article BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY (2004)
On Schrodinger-Boussinesq equations ANDRES NAVAS, Felipe Linares Article COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2004)
Quelques Groupes Moyennables de Difféomorphismes de L'intervalle Navas A. Article SCOPUS Boletin de la Sociedad Matematica Mexicana (2004)
Sur les groupes de difféomorphismes du cercle engendrés par des éléments proches des rotations A. Navas Article L'Enseignement Mathématique (2) 50 N° 1-2 (2004)
Actions de groupes de Kazhdan sur le cercle ANDRES NAVAS Article ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE (2002)
Groupes de Neretin et propriété (T) de Kazhdan ANDRES NAVAS Article COMPTES RENDUS DE ACADEMIE DES SCIENCES, PARIS, SERIE II (2002)
The further chameleon groups of Richard Thompson and Graham Higman=> Automorphisms via dynamics for the Higman groups Gn,r Collin Bleak, Peter Cameron; Yonah Maissel, Andrés Navas Article Memoirs of the American Math. Society (0)
On conjugates and the asymptotic distortion of 1-dimensional C1+bv diffeomorphisms Article DUKE MATHEMATICAL JOURNAL (0)
Three results on cocycles of Banach space isometries over a minimal dynamics . G. Castro, A. Navas. Article FUNDAMENTA MATHEMATICAE (0)


Groups of homeomorphisms of manifolds ANR, Francia (1) Proyecto 2019-2021 Coinvestigador(a)
Fortalecimiento institucional del Festival de Matemáticas Universidad de Santiago de Chile (123) Proyecto 2018-2018 Director(a)
"GDAR=> geometry, dynamics, and Anosov representations". PCI (MathAmsud) Proyecto 2017-2018 Inv. Principal
Anillo "Geometría en La Frontera" PIA (1415) Proyecto 2016-2019 Investigador(a)
Geometry and dynamics of groups and spaces FONDECYT (1160541) Proyecto 2016-2020 Inv. Principal
Redes internacionales de investigación PCI (140138) Proyecto 2015-2016 Director(a)
Anillo “Center of Dynamical Systems and Related Fields” PIA (ACT 1103) Proyecto 2013-2015 Director(a)
Fondecyt No. 1120131 FONDECYT (1120131) Proyecto 2012-2015 Inv. Principal
Fondecyt No. 1100536 FONDECYT (1100536) Proyecto 2010-2011 Inv. Principal
MathAmsud DySet PCI (08MATH02) Proyecto 2008-2011 Director(a)
Anillo “Low Dimensional Dynamics” PIA (Anillo) Proyecto 2007-2009 Inv. Principal
Fondecyt Regular No. 1060829 FONDECYT (Regular No) Proyecto 2006-2006 Inv. Principal
Prosul "Dynamical Systems" CNPQ Proyecto 2006-2010 Investigador(a)
Proyecto de Reinserción Andrés Navas U. de Chile, Vicerrectoría de Investigación (0) Proyecto 2006-2006 Director(a)
Iniciación a la Investigación Fundación Andes (0) Proyecto 2005-2007 Director(a)

Andres Navas

Full time Professor

Mathematics

DPTO DE MATEMATICA Y CC, USACH

Santiago, Chile

Mario Ponce

Dean

Mathematics

Pontificia Universidad Católica de Chile

Santiago, Chile

Alvaro Coronel

Associate professor

Mathematics

Pontificia Universidad Católica de Chile

Santiago, Chile

Jairo Bochi

Associate professor

Mathematics

PUC-Chile

Santiago, Chile

Cristóbal Rivas

Profesor Asistente

Matemáticas y Ciencias de la Computación

Universidad de Santiago de Chile

Santiago, Chile

Carlos Vásquez

Full Professor

Pontificia Universidad Católica de Valparaiso

Valparaiso, Chile

Andres Ignacio Navas Flores

Líneas de Investigación

Educación

Mathematics, Universite d'Orsay Paris 11. Francia, 2000

Mathematics, IMPA. Brasil, 1999

Mathematics, Universidad de Santiago de Chile. Chile, 1998

mathematics, ECOLE NORMALE SUPERIEURE DE LYON. Francia, 2003

Experiencia Académica

post-doc Full Time

Profesor Asociado Full Time

Profesor Part Time

Assistant Professor Part Time

Formación de Capital Humano

Difusión y Transferencia

Premios y Distinciones

Mathematical OCuncil of the Americas Prize

William Hodge felowship

Chilean Math Olympiads

Chilean Math Olympiads

Math Olympiads Cono Sur

Iberoamerican Math Olympiads

Iberoamerican Math Olympiads

Jorge Billeke award for undergraduate studies

Premio UMALCA

Invited Speaker ICM

Premio a la excelencia en vinculación con el medio

Article (53)

Proyecto (15)

Groups of homeomorphisms of manifolds

Fortalecimiento institucional del Festival de Matemáticas

"GDAR=> geometry, dynamics, and Anosov representations".

Anillo "Geometría en La Frontera"

Geometry and dynamics of groups and spaces

Redes internacionales de investigación

Anillo “Center of Dynamical Systems and Related Fields”

Fondecyt No. 1120131

Fondecyt No. 1100536

MathAmsud DySet

Anillo “Low Dimensional Dynamics”

Fondecyt Regular No. 1060829

Prosul "Dynamical Systems"

Proyecto de Reinserción Andrés Navas

Iniciación a la Investigación