Man

Mariel Inés Aura Sáez Trumper

Profesora Asociada

PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE

Santiago, Chile

Líneas de Investigación


Geometric Analysis, Differential Geometry, Partial Differential equations

Educación

  •  Ciencias de la ingenieria mencion matematica, UNIVERSIDAD DE CHILE. Chile, 1999
  •  Mathematics, STANFORD UNIVERSITY. Estados Unidos, 2005
  •  Ingeniero Civil en Matematicas, UNIVERSIDAD DE CHILE. Chile, 2000

Experiencia Académica

  •   Profesora asistente Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Matematicas

    Santiago, Chile

    2008 - 2012

  •   Profesora Asociada Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Matematicas

    Santiago, Chile

    2013 - A la fecha

  •   Postdoctoral Fellow Full Time

    Max Planck Institute for Gravitational Physics (Albert Einstein Institute)

    Potsdam, Alemania

    2005 - 2008

Formación de Capital Humano


Undergraduate theses: Jose Gabriel Torres (2012), Sebastian Pavez (2016)

Master thesis: Jose Gabriel Torres (2015)

Ph.D. Thesis: Karen Corrales (2015)


Difusión y Transferencia


2016 Talk “Mujeres en potencia” aimed to encourage female high school students to pursue female STEM careers (several talks).

2016 and 2014 Discussion panel on "mathematics and gender" at Somachi anual meeting and at Universidad de Santiago de Chile.

2014 Talk “The Poincaré conjecture” aimed to general public at the “week of mathematics” in Valparaiso.

2013 Talk “What is curvature?” aimed to high school students of Taller de Razonamiento Matemático PUC.

2013 Talk for general public at "Encuentro con Gauss"

Academic talks (Selected)

July 2016 V Congreso Latino Americano de Matematicas (CLAM), Barranquilla,
Colombia.

July 2016 School of Differential Geometry, Instituto de Matematica Pura e Aplicada
(IMPA). Minicourse, Rio de Janeiro, Brazil.

May 2016 Seminar talk at Columbia University, New York, USA.

Dec 2015 3rd Chile-Japan Workshop, Osaka, Japan.

July 2015 Coloquio Brasilero, Instituto de Matematica Pura e Aplicada (IMPA), Rio de
Janeiro, Brazil.

Sept 2015 Seminar talk at Universidad Polytenica de Catalunya, Barcelona, Spain.

Feb 2014 Conference Geometric Invariance and nonlinear PDE, Kioloa, Australia.

Jan 2014 Seminar talk at Universidad de Granada. Granada, Spain.

Aug 2013 Conference of the Americas, Guanajuato, Mexico.

Feb 2013 Seminar talk at Universitá deli Studi di Milano, Milan, Italy.

Aug 2012 V CLAM conference. Cordoba, Argentina.

Jul 2012  9th AIMS Conference on Dynamical Systems, Differential Equations and
Applications, Orlando, USA.

Sep 2011 Conference on Geometric Evolution Equations, University of Konstanz,
Germany.

Sep 2010 Workshop Extrinsic Geometric Flows, Universidad de Valencia, Spain.

Oct 2009 VIII Americas Conference on Differential Equations. Plenary talk, Mexico.

Oct 2009 Seminar talk Stanford University, Stanford, USA.

Feb 2008 Seminar talk at Universität Freiburg, Freiburg, Germany.

Dec 2007 Seminar talk at Universidad Complutense de Madrid, Madrid, Spain.

Jul 2006 Workshop Calculus of Variations, Matematisches Forschungsinstitut
Oberwolfach, Germany.


Premios y Distinciones

  •   Beca de Excelencia Academica

    UNIVERSIDAD DE CHILE

    Chile, 1994

    Scholarship for the two best incoming students

  •   Royden Fellowship

    STANFORD UNIVERSITY

    Estados Unidos, 2000

    Additional scholarship for incoming students

  •   Proyecto Fondecyt Regular 1150014

    CONSEJO NACIONAL DE CIENCIA Y TECNOLOGIA

    Chile, 2015

    Research Grant (2015-2016)

  •   Proyecto Fondecyt Regular 1110048

    CONSEJO NACIONAL DE CIENCIA Y TECNOLOGIA

    Chile, 2011

    Research Grant (2011-2015)

  •   Proyecto Anillo ACT-125, Center for Analysis of Partial Differential Equations

    CONSEJO NACIONAL DE CIENCIA Y TECNOLOGIA

    Chile, 2010

    Research grant (2010-2013)

  •   Proyecto Fondecyt 11070025 de Iniciación en Investigación

    CONSEJO NACIONAL DE CIENCIA Y TECNOLOGIA

    Chile, 2007

    Research Grant (2007-2010)

  •   Proyecto Fondecyt Regular 1190388 “Differential equations in geometry”

    CONSEJO NACIONAL DE CIENCIA Y TECNOLOGIA

    Chile, 2019

    Proyecto de investigación

  •   Conicyt PIA SOC180025 (Research Grant), Female mathematicians in Chile. Sociology of a scientific field from a gender perspective.

    CONSEJO NACIONAL DE CIENCIA Y TECNOLOGIA

    Chile, 2019

    Proyecto Anillo interdisciplinario

  •   Leverhulme Visiting Professorship,

    Leverhulme Trust

    Reino Unido, 2018

    Visiting professorship University College London 2018-2019

  •   International Exchanges,

    ROYAL SOCIETY

    Chile, 2018

    International Exchange program

  •   Robert Bartnik Fellowship

    MONASH UNIVERSITY

    Australia, 2017

    Visiting professorship award


 

Article (26)

Some constructions for the fractional Laplacian on noncompact manifolds
Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties
MEAN CURVATURE FLOW WITHOUT SINGULARITIES
Mean curvature flow without singularities.
MULTIPLE-LAYER SOLUTIONS TO THE ALLEN-CAHN EQUATION ON HYPERBOLIC SPACE
Semi-local inversion of the geodesic ray transform in the hyperbolic plane
Semi-local inversion of the geodesic ray transform in the hyperbolic plane.
Evolution of convex lens-shaped networks under curve shortening flow
Evolution of convex lens-shaped networks under the curve shortening flow
Self-similar expanding solutions for the planar network flow
Uniqueness of Self-Similar Solutions to the Network Flow in a Given Topological Class
Uniqueness of self-similar solutions to the network flow in a given topological class
Existence of a solution to a vector-valued Allen-Cahn equation with a three well potential
Existence of a solution to a vector-valued Allen-Cahn equation with a three well potential. , 213--267, 2009
Relaxation of the flow of triods by curve shortening flow via the vector-valued parabolic Allen-Cahn equation
Relaxation of the flow of triods by curve shortening flow via the vector-valued parabolic Allen-Cahn equation.
Relaxation of the curve shortening flow via the parabolic Ginzburg-Landau equation
Self-similar expanding solutions for the planar network flow.
Optimal regularity for the pseudo infinity Laplacian
Optimal Regularity for the Pseudo Infinity Laplacian.
Asymptotic description in a fast-diffusion equation with absortion.
On the extiction profile for solutions of $u_t = \Delta u^{N-2\over N+2},$}
On the Extinction Profile for Solutions of u(t) = Delta u((N-2)/)((N+2))
On the extinction profile for solutions of ut = ?u(N-2)/(N+2)
Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties.
Some constructions for the fractional Laplacian on noncompact manifolds
13
Mariel Sáez

Profesora Asociada

Matematicas

PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE

Santiago, Chile

1
Manuel Del Pino

Professor

DEPARTAMENTO DE INGENIERIA MATEMATICA Y CMM UNIVERSIDAD DE CHILE

Santiago, Chile

1
Matias Courdurier

Assistant Professor

Departamento de Matematicas

Pontificia Universidad Catolica de Chile

Santiago, Chile