Curriculum Vitae Carl Tipler - Espace d`authentification univ

Curriculum Vitae
Carl Tipler
Date of birth: 13.02.1985
Nationality : French
Position : Maître de Conférences (assistant professor) at Université de Bretagne Occidentale
Contact details :
Département de Mathématiques,
Université de Bretagne Occidentale,
6, avenue Victor Le Gorgeu,
29238 Brest Cedex 3, France
e-mail : [email protected]
language skills : French (native language), English (fluent), Portuguese, Italian (intermediate)
Diplomas
2011: Phd in Mathematics, Nantes University.
2009 : M.Sc. In pure mathematics, Nantes University.
2006 : Bachelor of Sciences, Angers University.
Academic cursus
2012 - 2013 :
Postdoc, UQAM (Montréal), with Vestislav Apostolov. CRM-ISM grant.
2009 - 2012 :
Phd, Laboratoire de Mathématiques Jean Leray (Nantes), supervisor Yann Rollin.
The subject of my thesis is the construction of extremal Kähler metrics using
resolution of singularities or complex deformations. I defended it the 5 of
december 2011. The Jury was composed by Yann Rollin, Vestislav Apostolov,
Gilles Carron, Philippe Eyssidieux, Paul Gauduchon, Frank Pacard and Michael
Singer.
2008 - 2009 :
M2R, « Mathématiques et applications », speciality « geometry », Nantes
University.
Master's thesis, «Kähler-Einstein metrics on compact manifolds », Laboratoire
de Mathématiques Jean Leray (Nantes), supervisor Yann Rollin.
2007 - 2008 :
Competitive examination Agregation de Mathématiques, ENS Ker Lann,
Rennes University.
2006 - 2007 :
M1R, « Mathématiques et applications », Nantes University.
Admission to ENS Ker Lann.
2005 - 2006 :
Bachelor of sciences, « Mathematics and applications », Angers University.
Research interests
My research area is differential geometry, at the intersection of complex algebraic geometry, global
analysis and mathematical physics. In particular, I study the geometry related to extremal Kähler
metrics, Einstein metrics, their generalizations and systems of coupled equations arising in string
theory. The tools that I use mainly come from deformation theory, toric geometry, geometric
invariant theory, quantization, generalized geometry.
Publication list
– « Moduli of G2 structures and the Strominger system in dimension 7 », with Andrew
Clarke and Mario Garcia-Fernandez, preprint ArXiv1607.01219
– « Infinitesimal moduli for the Strominger system and Killing spinors in generalized
geometry», with Mario Garcia-Fernandez and Roberto Rubio, to appear in Mathematische
Annalen, preprint ArXiv 1503.07562
– « Extremal metrics and lower bound of the modified K-energy », with Yuji Sano, J. Eur.
Math. Soc. (JEMS) 17 (2015), no. 9, 2289-2310
– « Deformations of constant scalar curvature Sasakian metrics and K-stability », with
Craig van Coevering, Int. Math. Res. Not. IMRN 2015, no. 22, 11566-11604
– « Lower bounds on the modified K-energy and complex deformations », with Andrew
Clarke, Adv. Math. 252 (2014), 449-470
– « Deformations of complex structures and the coupled Kähler-Yang-Mills equations »,
with Mario Garcia-Fernandez, J. London Math. Soc. 89 (2014) 779-796
– « A note on blow-ups of toric surfaces and cscK metrics », Tohoku Math. J. (2) 66 (2014),
no.1, 15-29
– « Deformations of extremal toric manifolds », with Yann Rollin, J. Geom. Anal. 24
(2014), no. 4, 1929-1958
– « Deformations of extremal metrics, complex manifolds and the relative Futaki
invariant », with Yann Rollin et Santiago Simanca, Math. Z. 273 (2013), no. 1-2, 547-568
– « Extremal Kähler metrics on blow-ups of parabolic ruled surfaces », Bull.Soc. Math.
France 141 (2013), no. 3, 481-516
Talks
September 2016 « Moduli space of Generalized Metrics », workshop indo-european project
Moduli, ICMAT, Madrid, Spain
June 2016
« Strominger system, Courant algebroids and Moduli », conference (0,2) in
Paris, IHP, France
November 2015 « Sur l'espace des modules du système de Strominger », séminaire
quimpériodique, Quimper, France.
November 2015 « From the Strominger system to generalized geometry », geometry and
topology seminar, Stony Brook, USA.
August 2015
« Deformations of extremal Sasakian metrics and stability », International
conference on geometric and non-linear analysis, Xinyang, China.
June 2015
« Une version infinitesimale de la conjecture de Yau-Tian-Donaldson »,
geometry seminar, Rennes.
May 2015
« Une version infinitesimale de la conjecture de Yau-Tian-Donaldson », working
seminar « operateur de Dirac », Orsay.
April 2015
« An infinitesimal version of the Yau-Tian-Donaldson conjecture », geometry
seminar, IST Lisbonne.
February 2015
« Quantization of extremal metrics and applications », workshop Geometria in
Bioccoca, Milan, Italy
November 2014 « Lower bound of the modified K-energy », geometry seminar, CUNY, NewYork, USA
October 2014
« GIT pictures in Kähler geometry », 4 hours lecture at Cirget junior Seminar,
McGill, Montréal, Canada
July 2014
« Deformations of toric extremal surfaces », Hayama symposium on Complex
Analysis in Several Variables XVII, Hayama, Japon
June 2014
« An infinitesimal version of the Yau-Tian-Donaldson conjecture », atelier
franco-chinois sur la stabilité, Institut Fourier Grenoble.
May 2014
« Convexity and lower bound of the modified K-energy », symplectic geometry
seminar, IMPA Rio
May 2014
« An infinitesimal version of the Yau-Tian-Donaldson conjecture », geometry
seminar, UFRJ Rio
April 2014
« An infinitesimal version of the Yau-Tian-Donaldson conjecture », geometry
and complex analysis seminar, IMJ Paris
October 2013
« An infinitesimal version of the Yau-Tian-Donaldson conjecture », séminaire
d'analyse et géométrie complexe, IMT Toulouse
March 2013
« Lower bound on the modified K-energy and complex deformations », Shanks
workshop, Vanderbilt University, Nashville, USA
January 2013
« Métriques extrémales, K-énergie et quantification », geometry and topology
seminar, CIRGET Montréal
December 2012 « Métriques extrémales, K-énergie et quantification », topology, algebra and
geometry seminar, LMJL Nantes
December 2012 « Métriques extrémales, K-énergie et quantification », algebra and geometry
seminar, Institut Fourier, Grenoble
December 2012 « Métriques extrémales, K-énergie et quantification », geometry, topology and
dynamics seminar, Orsay University, France
October 2012
« Deformations of extremal Sasaki metrics and K-stability », The 18th
International Symposium on Complex Geometry, Sugadaira, Japan
July 2012
« Deformations of extremal toric manifolds », Complex geometry and
Symplectic geometry conference, Ningbo University, Ningbo
June 2012
« Deformations of extremal toric manifolds », algebraic geometry seminar, Freie
Universität, Berlin
March 2012
« Deformations of extremal toric manifolds », analysis, geometry and complex
dynamics seminar, IMT Toulouse.
January 2012
« Deformations of extremal toric manifolds », differential geometry seminar,
ULB Bruxelles.
November 2011 « Extremal metrics on blow-ups of parabolic ruled surfaces », algebra, dynamic
and topology seminar, LATP Marseille.
October 2011
« Extremal metrics on blow-ups of parabolic ruled surfaces », geometry seminar,
LMJL Nantes.
October 2011
« Deformations of extremal Kähler metrics », algebra and geometry seminar,
Laboratoire de Mathématiques de Brest.
February 2011
«Extremal metrics on blow-ups of parabolic ruled surfaces », young researchers
session, CIRM Marseille.
Visiting positions
- 12/09/16-25/09/16 : Visiting Member at ICMAT, Madrid (Spain)
- 07/12/15-21/12/15 : Visiting Member at IMPA, Rio de Janeiro (Brasil)
- 24/10/15-14/11/15 : Visiting Member at Simons Center (New-York state, USA)
- 14/09/15-27/09/15 : Visiting Member at ICMAT, Madrid (Spain)
- 01/09/14-01/02/15 : CNRS Researcher position at UMI of Montréal (Canada)
- 15/04/14-15/05/14 : Visiting Member at IMPA, Rio de Janeiro (Brasil)
- 01/09/12-30/08/13 : Postdoc at UQAM, Montréal (Canada)
Teaching Experience
2013 - present
2012 – 2013
2010 - 2012
2009 - 2010
2008 - 2009
- Assistant professor at Brest, 192 hours per year.
- Teacher, UQAM, Introduction to topology.
- Teacher, Nantes University, mathematics for first year students.
- Teaching assistant, Nantes University, differential equations for third year
students.
- Teacher, nantes University, mathematics for first year students.
- Mathematics examiner in preparatory school, Lycée Clémenceau, Nantes.