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1 Jordi-Lluís Figueras Departament of Mathematics Uppsala University Ångström Laboratoriet Uppsala Sweden Homepage: figueras Current Position Senior Lecturer (Universitetslektor) at Uppsala University, Sweden. 01/11/2017 until now. Director of CIM (Center of Interdisciplinary Mathematics), Uppsala University. 01/09/2017 until now. Education PhD Mathematics, Universitat de Barcelona, May My PhD was granted, by Universitat de Barcelona, Best Mathematics PhD M.A. Mathematics, Universitat de Barcelona, Licenciatura de Matemáticas at Universitat de Barcelona Honors, Awards, & Grants PI small SNIC-Project Invariant manifolds in Dynamical Systems snic , 2000 core-hours/month. Barcelona Dynamical Systems Prize, 2017, (joint with Àlex Haro and Alejandro Luque), (4,000 Euro). Stiftelsen G S Magnusons Fond, 2017, 10,000 SEK. Essens stipendium ,000 SEK. Essens stipendium ,500 SEK. Essens stipendium ,000 SEK. Essens stipendium ,435 SEK. Essens stipendium ,000 SEK. Best Mathematics PhD in Mathematics, Universitat de Barcleona, Grant FI Generalitat de Catalunya, from 15/January/2008 to 15/January/2011. Travel grant of the Research Committee of the Facultat de Matemàtiques, Universitat de Barcelona, 21/July/2010. Past Academic Experience Uppsala University, Department of Mathematics Assistant Senior Lecturer (Biträdande Lektor), 01/11/2013 until 31/10/2017. Resarcher position, 01/08/2013 until 31/10/2013. Postdoc position, 01/August/ /07/2013. Universitat de Barcelona, Departament de Matemàtica Aplicada i Anàlisi Teaching assistant (Profesor Asociado a tiempo parcial), 15/February/ /July/2011.

2 Jordi-Lluís Figueras 2 PhD researcher, grant FI Generalitat de Catalunya, 15/January/ /January/2011. Teaching assistant (Profesor Asociado a tiempo parcial), 23/February/ /June/2007. Research visits Imperial College of London, United Kingdom, Februrary 2017, 1 week. ICMAT, Madrid, Spain, November 2016, 1 week. Research Scholar, ICERM, Brown, USA, March 2016, 5 weeks. Tokyo Institute of Technology, Japan, 2015, 1 week. School of Mathematics, Georgia Institute of Technology, USA, 2014, 1 week. School of Mathematics, Georgia Institute of Technology, USA, 2013, 1 week. Departament de Matematica Aplicada i Analisi, Universitat de Barcelona, Spain, 2013, 1 week. School of Mathematics, Georgia Institute of Technology, USA, 2013, 1 week. School of Mathematics, Georgia Institute of Technology, USA, 2012, 1 week. Project: Study of periodic orbits in dissiapative PDEs. Department of Mathematics, Jagiellonian University, Krakow, Poland, 2011, 1 week. Project: Rigorous verification of high order sinks in the Newhouse domain. Department of Mathematics, TU Chemnitz, Germany, 2010, 1 week. Project: Spectra, Fredholm properties, and stable Approximation of Infinite Matrices. Department of Mathematics, Univ. of Texas at Austin, 2010, 3 months. Project: Mathematical and Numerical studies of long range order Department of Mathematics, Univ. of Texas at Austin, 2008, 2 weeks. Project: Study of the analicity of the invariant bundles in tori with ergodic inner dynamics. Preprints Figueras, J.-Ll. and Strängberg, D. Non-Smooth Bifurcations of Uniformly Hyperbolic Invariant Manifolds in Skew Product Systems: Rigorous Results. Publications 11. Figueras, J.-Ll. and Haro, A. and Luque. A. On the sharpness of the Rüssmann estimates, (2018) Commun. Nonlinear Sci. Numer. Simulat., 55, Figueras, J.-Ll. and Gamerio, M. and Lessard, J.-P. and de la Llave, R. A Framework for the Numerical Computation and a Posteriori Verification of Invariant Objects of Evolution Equations., (2017) SIAM J. Appl. Dyn. Syst. 16, 2, pp Figueras, J.-Ll. and de la Llave, R. Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto-Sivashinsky Equation., (2017) SIAM J. Appl. Dyn. Syst. 16, 1, pp Figueras, J.-Ll. and Haro, À. and Luque, A. Rigorous computer assisted application of KAM theory: a modern approach. Accepted in Foundations of Computational Mathematics (2016). 7. Figueras, J.-Ll. and Haro, À. A note on the fractalization route for saddle invariant curves in quasiperiodic systems. Discrete and Continuous Dynamical Systems - Serie S, Volume 9, Number 4 (2016), pp Special volume in Nonautonomous Dynamics.

3 Jordi-Lluís Figueras 3 6. Figueras, J.-Ll. and Haro, À. Different scenarions for hyperbolicity in quasiperiodic area preserving twist maps. Chaos: An Interdisciplinary Journal of Nonlinear Science, 25, 12 (2015), 16 pages. 5. Canadell, M., Figueras, J-Ll., Haro, A., Luque, A., Mondelo, J. M., The Parameterization method for Invariant Manifolds: From Rigorous Results to Effective Computations. Applied Mathematical Sciences, Springer. 4. Figueras, J.-Ll. and Haro, A. Triple Collisions of Invariant Bundles. Discrete and Continuous Dynamical Systems - Serie B, Volume 18, Number 8 (2013), pp Figueras, J.-Ll. and Tucker, W. and Villadelprat, J. Computer-assisted techniques for the verification of the Chebyshev property of Abelian integrals. Journal of Differential Equations, Volume 254 (2013), pp Calleja, R. and Figueras, J.-Ll. Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map. (2012) Chaos, An Interdisciplinary Journal of Nonlinear Science, Volume 22, Issue 3 (10 pages). 1. Figueras, J.-Ll. and Haro, A. Reliable Computation of Robust Response Tori on the Verge of Breakdown. (2012) SIAM J. Appl. Dyn. Syst. 11, pp (32 pages). 0. (PhD dissertation) Figueras, J.-Ll. Fiberwise Hyperbolic Invariant Tori in quasiperiodically forced skew product systems. (2011). Advisor: Àlex Haro. Conference and Seminar Presentations (Talk) On the bifurcation of hyperbolic invariant manifolds: Rigorous results. Congreso Bienal de la Real Sociedad Matemática Espanola, Zaragoza, Spain, 30/January/2017. (Talk) Computer Assisted Proofs and KAM theory. SCAN Conference 2016, Uppsala, Sweden, 28/September/2016. (Talk) On the bifurcation of hyperbolic invariant manifolds: From Numerics to Rigorous results, and then back to Numerics. Workshop Computation in Dynamics, ICERM, Providence, RI, USA, 6/April/2016. (Talk) Rigorous validations of periodic orbits in the Kuramoto-Sivashinsky PDE. Dynamical Systems Seminar, Imperial College of London, United Kingdom, 21/February/2017. Analysis of Fluids and Related Topics, Princeton, NJ, USA, 24/March/2016. (3 hours course) Computation of Invariant Manifolds. WSCM2016, Bedlewo, Poland, 8 13/February/2016. (Plenary Talk) How Hyperbolic Invariant Tori bifurcate to Strange Objects: From numerics to rigorous results. DytoComp2015, Bedlewo, Poland, 16/June/2015. (Talk, Spanish) Primera cita: Toros normalmente hiperbólicos en sistemas cuasiperiódicos. DDays 2014, Badajoz, Spain, 13/Nov/2014. (Talk) Triple collisions of invariant bundles. Dynamical Systems seminar, Georgia Institute of Technology, USA, 12/May/2014. (Talk) Computer-assisted techniques for the verication of the Chebyshev property of Abelian integrals. Dynamical Systems seminar, Georgia Institute of Technology, USA, 22/August/2013.

4 Jordi-Lluís Figueras 4 Workshop in Dynamical Systems, KTH, Sweden, 18/April/2013. (Talk) Numerical algorithms and a-posteriori verification of periodic orbits of the Kuramoto-Sivashinsky equation. FOCM 2017, Barcelona, Spain, 13/July/2017. CEDYA+CMA, Cartagena, Spain, 29/June/2017. PDEs seminar, ICMAT, Madrid, 10/November/2016. Symposium Uppsala Tokyo Institute of Technology, Tokyo, Japan, 17/November/2015. Dynamical systems days UU-KTH at the Mittag Leffler institute, Stockholm, Sweden, 16/January/2014. Analysis and Stochastic seminar, Uppsala University, 9/April/2013. (Poster) On the Numerical computation and a-posteriori verification of periodic orbits for the Kuramoto- Sivashinsky equation. First International Conference on Dynamics of Differential Equations, Georgia Institute of Technology, Georgia, USA, from 15/March/2013 to 20/March/2013. (Talk) On the breakdown mechanisms of Fiberwise Hyperbolic Invariant Tori in skew product systems. Rigorous results. Dynamical systems days UU-KTH at the Mittag Leffler institute, Stockholm, Sweden, 19/December/2013. Dynamical systems group Seminar in Georgia Institute of Technology, Georgia, USA, 12/March/2013. (Talk) Numerical computation of periodic orbits for the Kuramoto-Sivashinsky equation. DytoComp2012, Bedlewo, Poland, 29/June/2012. Dynamical systems group Seminar in Georgia Institute of Technology, Georgia, USA, 23/January/2012. (Talk) Comportament dels Fibrats invariants de tors prop del trencament (catalan). Trobada de Joves Investigadors de la Societat Catalana de Matemtiques, Spain, 14/October/2011. (Talk) Breakdown mechanisms of Fiberwise Hyperbolic Invariant Tori in skew product systems. KAM theory and Geometric Integration, Banff Center, Canada, 09/June/2011. Seminar Dynamical Systems Group, Universitat de Barcelona, 02/March/2011. (Talk) Rigorous upper bounds of the spectrum of discrete Schrödinger operators via computer assisted methods. Seminar, TU Chemnitz, Germany, 02/February/2011. (Talk) Rigorous analytic validation of invariant tori on the verge of hyperbolicity breakdown Working Seminar Dynamical Systems, UT at Austin, TX, 08/September/2010. Emerging Topics in Dynamical Systems and Partial Differential Equations DSPDEs 10, at Barcelona, Spain, 31/May/2010 4/June/2010. The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications. Dresden, Germany, 25 28/May/2010. Seminar Dynamical Systems Group, Universitat de Barcelona, 21/April/2010. (Talk) Introduction to twist maps. Working Seminar Dynamical Systems, Universitat de Barcelona, 14/May/2009. (Talk) Short introduction to the theory of cocycles.

5 Jordi-Lluís Figueras 5 Working Seminar Dynamical Systems, Universitat de Barcelona, 13/February/2009. (Poster) Breakdown of invariant normally hyperbolic tori in systems forced quasiperiodically. International Congress on Dynamical Methods and Mathematical Modelling. Valladolid, Spain, 18 22/September/2007. Professional Activities Researcher in energy forecast. Alea Business Software, S.L. 6/June/ /August/2007. Teacher at Asesoria de estudios Sol, S.L. 6/November/ /June/2006. Conferences and Workshops Attended FOCM 2017, Barcelona, Spain, 13/July/ /July/2017. CEDYA+CMA, Cartagena, Spain, 26/June/ /June/2017. LLAVEFEST: A Broad Perspective on Finite and Infinite Dimensional Dynamical Systems, Barcelona, Spain, 12/June/ /June/2017. Congreso Bienal de la Real Sociedad Matemática Espanola, Zaragoza, Spain, 30/January/2017 3/February/2017. Workshop Computational Proofs for Dynamics in PDEs, Lorentz Center, Leiden, the Netherlands, 6/June/ /June/2016. Workshop in Dynamical Systems, KTH, Stockholm, Sweden, 11/May/ /May/2016. Computation in Dynamics, ICERM, Brown University, Providence, RI, USA, 4/April/2016 8/April/2016. Fractal Geometry, Hyperbolic Dynamics and Thermodynamical Formalism, ICERM, Brown University, Providence, RI, USA, 7/March/ /March/2016. Symposium Uppsala Tokyo Institute of Technology, Tokyo, Japan, 16/November/ /November/2015. DytoComp2015, at Banach Center, Bedlewo, Poland, 15/June/ /June/2015. Rigorous computation for infinite dimensional nonlinear dynamics, AIM, Palo Alto, USA, 26/August/ /August/2013. Advanced School and Workshop in Real and Complex Dynamics, ICTP, Trieste, Italy, 20/May/ /May/2013. Workshop in Dynamical Systems, KTH, Sweden, 18/April/ /April/2013. First International Conference on Dynamics of Differential Equations, Georgia Institute of Technology, Georgia, USA, 15/March/ /March/2013. DytoComp2012, at Banach Center, Bedlewo, Poland, 24/June/ /June/2012. Workshop in Computer Assisted Proofs, at Uppsala Universitet, Uppsala, Sweden, 17/October/ /October/2011. RTNS2011. Recent Trends in Nonlinear Science 2011, at Vilanova i la Geltrú, Spain, 24/January/ /January/2011. Emerging Topics in Dynamical Systems and Partial Differential Equations DSPDEs 10, at Barcelona, Spain, 31/May/2010 4/June/2010. The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, at Dresden, Germany, 25 28/May/2010. Sixth International Taylor Model Methods Workshop, at University of Kärlsruhe, Kärlsruhe, Germany, 25 28/May/2009.

6 Jordi-Lluís Figueras 6 Ddays2008. Cuarta reunión de la red temática Dance, at El Escorial (Madrid), Spain, 22 24/October/2008. Advanced Course on Stability and Instability in Mechanical Systems, at CRM (Centre de Recerca Matemática), Bellaterra (Barcelona), Spain, 15 19/October/2008. Conference on Stability and Instability in Mechanical Systems: Recent progress and mathematical theory, at CRM (Centre de Recerca Matemática), Bellaterra (Barcelona), Spain, 22 26/September/2008. The 7th AIMS Conference on Dynamical Systems and Differential Equations, at University of Texas at Arlington, Texas, USA, 18 21/May/2008. RTNS2008. Recent Trends in Nonlinear Science 2008, at Cullera, Spain, 28/January/2008 1/February/2008. International Congress on Dynamical Methods and Mathematical Modelling, at Valladolid, Spain, 18 22/September/2007. Undergrad, Master and PhD students Mattias Bertolino and Arvin Jonnarth (Undergrad 2017). Linnéa Gyllingberg (PhD 2016?). Victor Linroth (PhD 2015?). Dan Strängberg (PhD 2014?). Michael Turaev (Undergrad 2016). Juan Albahaca (Master 2015). Pedagogics I distribute my Teaching Portfolio under personal request. Miscellaneous Founder and lecturer of the Summer Math Camp 2014, 2015 and 2017 for gifted undergraduate students from the Mathematics and Physics programmes at Uppsala University. Referee for the journals: Advances in Mathematics, Nonlinearity, European Journal of Applied Mathematics, SIADS (SIAM Journal on Applied Dynamical Systems), Journal of Computational Dynamics, Discrete and Continuous Dynamical Systems-Series A, Discrete and Continuous Dynamical Systems- Series B. PhD committee for the sufficiency of teaching of student Ferenc Bartha, Bergen Universitet. 16/January/2012 Referee in several local Catalan Mathematical competitions during 2012 to Instructor for Uppsala University students for the preparation of the Nordic contest, Organizer of the CAPA Seminar, University of Uppsala, academic years 2011 to Part of the organization of the Congress Emerging Topics in Dynamical Systems and Partial Differential Equations DSPDEs 10, at Barcelona, Spain, 31/May/2010 4/June/2010. Organizer of the Working seminar of Dynamical Systems, Universitat de Barcelona, academic year 2009/2010. Last updated: February 5, 2018