Maître de Conférences. Registry No Ph.D. (doctorate) in Applied Mathematics

Transcription

1 WALDO ARRIAGADA Curriculum Vitae Khalifa University Department of Applied Mathematics and Sciences Abu Dhabi E mail : waldo.arriagada@kustar.ac.ae Personal information Date and Place of Birth : 08 July 1978, Santiago de Chile (37 years old). Nationality : Chilean and Canadian Marital Status : Married Children : 3 Education Mar Sep Dic Aug Mar Mar Mar Mar Mar May 1999 French Government Maître de Conférences. Registry No University of Montreal, Quebec, Canada. Ph.D. (doctorate) in Applied Mathematics University of Toronto, Toronto, Canada. Admitted Ph.D. Program in Mathematics under supervision of Boris Khesin. University of Chile, School of Engineers, Santiago, Chile. M.Sc. and Diploma: Civil Mathematical Engineer. University of Chile, School of Engineers, Santiago, Chile. Bachelor of Sciences and Engineering. University of Chile, School of Medicine, Santiago, Chile. Bachelor of Biomedical Sciences. Employment Jan present Aug Dec Jan. June Mar Mar Dec Mar Sep May 2010 Khalifa University Department of Applied Mathematics and Sciences Abu Dhabi, UAE Assistant Professor of Mathematics The College of The Bahamas, School of Mathematics, Physics and Technology SMPT, Oakes Field Nassau, The Bahamas Assistant Professor of Mathematics. Scotiabank Group Stadium Shopping Centre, Calgary, Canada Analyst. (See below) Universidad Austral de Chile, ICFM Assistant Professor of Mathematics. University of Calgary Postdoctoral Fellow (PDF) in Dynamical Systems and Differential Equations. University of Montreal Lecturer and Teaching Assistant.

2 Aug Dec Mar Mar Feb. Sept Dec Mar University of Chile, School of Engineers Teaching Assistant. Oleohidraulica Juan Silva Junior Engineer. (See below) Bank CORPBANCA Analyst Engineer. (See below) Clinic Hospital University of Chile Radiology Assistant. (Technologist in the Image Department). Research interests Partial and ordinary differential equations, holomorphic dynamics, Stokes phenomenon, the problem of isochronicity, complex analysis and complex geometry. Monographs and Papers Monographs Papers Characterization of the unfolding of a weak focus and modulus of analytic classification, Papyrus, University of Montreal, Montreal, Quebec, December Topological asymptotic linking number of solenoids embedded in the solid torus, University of Chile, Santiago de Chile, December Arriagada, W. Characterization of the generic unfolding of a weak focus. J. Diff. Eqs., 253, No. 6, pp , Arriagada, W. and Rousseau, C. The modulus of analytic classification for the unfolding of the codimensionone flip and Hopf bifurcations. Ann. Fac. Sc. Toulouse, Vol. 20, No. 3, pp , Arriagada, W. Analytic obstructions to isochronicity in codimension 1. Proc. A Royal Soc.Edinburgh, 143, No. 4, pp , Arriagada, W. and Huentutripay, J. Embedding of the codimension k flip bifurcation. F. East. Jour. Dyn. Syst., 22, No. 1, pp , Arriagada, W. and Huentutripay, J. Blow up rates of large solutions for a phi Laplacian problem with gradient term. Proc. A Royal Soc. Edinburgh, 144, No. 1, pp. 1 21, Arriagada, W. Temporally normalizable generic unfoldings of order 1 weak foci. J. Dyn. and Cont. Systems, Volume 21, Issue 2 (2015), Pages Arriagada, W. Rigidity theorem for real families of conformal diffeomorphisms tangent to x > x. Submitted, Arriagada, W. and Ramirez, H. Centers of skew polynomial rings. Pub. Inst. Math. Beograde, Nouvelle Serie, Vol. 97(111), (2015). 9. Arriagada, W. Linking invariants for smooth minimal solenoids. Dyn. Systems, DOI: / , Arriagada, W. A survey on Z2 equivariant foliations. Submitted Uk. Math. Journ., 666, Arriagada, W. and Fialho, J. Rigidness, bifurcations and elliptic dynamics. Submitted Portugaliae Math., 2014

3 12. Arriagada, W. and Ramirez, H. Involutions in Ore extensions. Submitted Comm. in Algebra, Arriagada, W. and Huentutripay, J. A nonlinear eigenvalue problem in $\mathb{r}^n$. Submitted Comm. Partial Diff. Eqs., Arriagada, W. Geometry of the space of analytic deformations of vector fields with an elliptic point. In preparation. 15. Arriagada, W. Embedding of a functional class as the modulus of analytic classification of a flip. In preparation. R efereeing and editorial board activities Reviewer for Zentralblatt MATH Reviewer for F. East J. Dynamical Systems. Teaching Aug Aug Mar Mar Aug Sept May 2010 Aug Dec Mar Sept The College of The Bahamas Lecturer Finite Mathematics MATH163. Precalculus MATH167. Ordinary Differential Equations MATH274. Calculus I MATH171. Numerical Methods MATH320. Advanced Calculus MATH380. Advanced Differential Equations MATH450. Southernomst University of Chile (UACH) Lecturer Linear Algebra MATM 022. Applied Mathematics MATM 032. Ordinary Differential Equations CIBA 123. Discrete Mathematics CIBA 022. University of Calgary Lecturer Complex Analysis PMAT University of Montreal Teaching assistant and Lecturer: Calculus I MAT1400. Discrete Mathematics MAT1500. Differential and Integral Calculus I MAT1903. Differential and Integral Calculus II MAT1923. Probability MAT1720. Analysis II MAT2050. Analysis III MAT2100. Mathematics and Technology MAT2450. University of Chile Teaching assistant: Physics I. Applied Mathematics. Ordinary Differential Equations. Calculus and Algebra I. Calculus in Several Variables. Universities Andres Bello (UNAB) and De Los Andes Teaching assistant and Lecturer: Mathematics for Engineers. Applied Mathematics. Conferences a nd invited speaker Seminar in Mathematics, Universidad de Chile, July Talk entitled A rigidity theorem for conformal diffeomorphisms tangent to x > x. Invited spokesman at the International Workshop on Boundary Value Problems, 3 and 4 July 2014, Evora, Portugal. Talk entitled Rigidness, bifurcations and elliptic dynamics. Projected: Invitation extended by Dr. Y. Yomdin October 2014 at The Weizmann Institute, Israel. The following talks will be delivered: Rigidity of the codimension one flip bifurcation Functional classes and Hopf bifircation

4 Invited speaker at The College of The Bahamas Lecture Series in Mathematics with the talk entitled How Escher s Print Gallery was completed, Organizer of the Colloquium Series in Mathematics at Southernmost University of Chile, Valdivia, Chile, January Speaker at the Science and Mathematics Colloquium with the talk entitled Lithography and Mathematics. Southernmost University of Chile, Speaker at the Government of Chile Sponsorship Foundation with the talk Elliptic foliations, organized by Southernmost University of Chile, March Invited speaker at the IQIS Colloquium Pacific Institute, with the talk Isochronous elliptic systems. Alberta, Canada, Chairman at the Seminar On Holomorphic Dynamics. University of Calgary, Calgary, Canada, Invited speaker at the Seminar on Elliptic Holomorphic Foliations. University of Calgary, Calgary, Canada, Invited speaker at the Seminar of Graduate Students University of Montreal, 2007 and Invited speaker at the Colloque Panquébécois des étudiants en mathématiques. The title of the talk delivered was Modulus of analytic classification of the Hopf bifurcation. Colloquium organized by the Institute of Mathematical Sciences of Montreal ISM. May Invited speaker at the Workshop Classical problems on planar polynomial vector fields, with the talk entitled Modulus for the analytic classification of unfoldings of order one weak foci in C2. Banff International Research Station (BIRS), Alberta, Canada. November Invited speaker at the Workshop Mathematical developments around Hilbert's 16th problem held at the Banff International Research Station BIRS, Alberta, Canada, March Invited scholar at the IV Workshop on dynamical systems. Universidad Católica del Norte, Chile. August 15 19, No talk was delivered. Invited scholar at the III Congreso de estudiantes de ingeniería. Universidad de Concepción, Chile, August No talk was delivered. Scientific awards and research grants Summer Grant College of The Bahamas for Excellence in Research. Support granted in May 2014 for the International Workshop on Boundary Value Problems, 3 and 4 July Fondecyt No Granted by Government of Chile through CONICYT (Comision Nacional de Investigacion Cientifica y Tecnologica) for the period Oct Dec Title of the project: The modulus of analytic classification of the Hopf bifurcation of codimension k. Total amount: US$ 90,000. Research grant No by Direccion de Investigacion y Desarrollo (DID), Southernmost University of Chile for the period Oct Oct Title of the project: Blow up rates for phi Laplacian problems and bifurcations. Postdoctoral Fellowship grant awarded by Prof. Alexander Brudnyi (University of Calgary) through NSERC (Natural Sciences and Engineering Research Council of Canada) for the period Dec Mar Total amount: CAD$ 50,000. Terminal degree fellowship. Awarded by Faculté des Études Supérieures (FESP) of University of Montreal. Total amount: CAD$ 24,000.

5 Research grant awarded by Institut des Sciences Mathématiques de Montreal (ISM) for the period Sept Dec Total amount: CAD$ 20,000. PhD grant awarded by FESP of University of Montreal for the period for project The characterization of the unfolding of a weak focus and invariant of analytic classification. Total amount: CAD$ 28,000. Admitted to the PhD program DMS University of Montreal under the item of Scientific Excellence, September 2006, Assessments for private sector CORPBANCA I performed Probabilistic risk and information security assessments under ISO, NIST and Open Group international standards. I have created a bank cluster to normalize month rates and computation of financial options. SCOTIABANK Training in Business analytics in actuarial valuations Training series directed for midmanagement in Actuarial valuations. OLEOHIDRAULICA Auditor and examiner. Joint work with Juan Silva Modeling of heavy loads structures with small resistance coefficients Engineering models. Research links, collaborations CANADA I am currently working with Alexander Brudnyi from University of Calgary. We are working on the addendum The center problem for meromorphic Abel Equations, (see below and Research Statement enclosed). UNITED KINGDOM Research collaboration with Colin Christopher from Plymouth University. We currently work on the program The modulus of analytic classification of the Hopf bifurcation of codimension k, (see below and Research Statement enclosed). CHILE Research collaboration with Jorge Huentutripay (co author) from Southernmost University of Chile. We are working on the project entitled Blow up rates for phi Laplacian problems and bifurcations, see below. Research projects Completed Dec Mar Title: Some open topics on isochronicity. Status: Main researcher Partially supported by NSERC and Department of Mathematics of University of Calgary. Sept Dec Status: Invited researcher Title: The characterization of the unfolding of a weak focus and invariant of analytic classification. Partially supported by NSERC (Canada), DMS (Department of Mathematics and Statistics) of University of Montreal and ISM (Institut des Sciences de Montreal). In process Oct Oct Title: The modulus of analytic classification of the Hopf bifurcation of codimension k. (See attached Budget Report ). Status: Main researcher Supported by The Government of Chile through CONICYT Chile. Oct Oct Title: Blow up rates for phi Laplacian problems and bifurcations Status: Invited researcher Supported by DID (Direccion de Investigacion y Desarrollo) Southernmost

6 University of Chile. Projected May 2015 May 2018 Title: Some Boundary Value Problems in bifurcation theory Status: Main researcher. In collaboration with J. Huentutripay (Chile). Eventually Supported by The Government of Chile through CONICYT and the PCI International Cooperation Programme. I look forward to obtain support from German Academy Exchange Service (DAAD Deutscher Akademischer Austausch Dienst) for several applied projects in joint collaboration between the Government of The Bahamas and Germany, through Dr. Stefan Siegmund, Chair for Dynamics and Control, Department of Mathematics of the Technische Universitaet Dresden. Memberships July 2008 CANADA Member of the Public Service Alliance of Canada (PSAC) Other Fluent in Spanish (native), French (native) and English. Some Italian. References Dr. Alexander Brudnyi, University of Calgary abrudnyi@ucalgary.ca Dr. Francisco Cala, Southermost University fcala@spm.uach.cl Dr. Dana Schlomiuk, Université de Montréal dasch@dms.umontreal.ca Dr. Joao Fialho, The College of The Bahamas jfialho@cob.edu.bs Dr. Jorge Huentutripay, Southernmost University jorge.huentutripay@uach.cl Dr. Richard Duncan, Université de Montréal duncanr@dms.umontreal.ca