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STINGA. • Names: Pablo Ra´Ul CURRICULUM VITAE OF PABLO RAUL´ STINGA A. Personal data • Surname: STINGA. • Names: Pablo Ra´ul. • Address: Department of Mathematics, The University of Texas at Austin, 1 University Station C1200 Austin , TX 78712-1202, United States of America. • e-mail: [email protected] • Actual position: Bing Instructor at Department of Mathematics, The University of Texas at Austin, United States of America. B. Degrees held • Mar. 2000 { Dec. 2005 Degree in Mathematical Sciences, National University of San Luis (UNSL), Argentina. • Oct. 2006 { Nov. 2007 Master in Mathematics and Applications, Autonomous University of Madrid, Spain. • Oct. 2006 { Jun. 2010 PhD in Mathematics with European Mention (Summa Cum Laude), Autonomous University of Madrid, Spain. PhD Thesis title: \Fractional Powers of Second Order Partial Differential Operators: Extension Problem and Regularity Theory". Supervisor: Prof. Dr. Jos´eLuis Torrea. C. Prizes and honors • 2005 Prize from UNSL for best GPA at degree in Mathematics: 9.90/10.00. • Dec. 2005 Prize from UNSL for best GPA among all degrees at National University of San Luis, Argentina. D. Competitive grants/contracts awarded • Grant for undergraduate studies from UNSL for best GPA in high school (Mar. 2001 to Dec. 2001). • Grant for undergraduate studies from YPF Foundation (Argentina) for best GPA in the first year of undergraduate studies (Mar. 2002 to Mar. 2006). • Grant to participate at IMPA Mathematical Summer School at Istituto de Matematica Pura e Aplicada (IMPA), Rio de Janeiro, Brazil (Jan.{Feb. 2005). • Grant to participate at Third Mathematical Engineering Summer School at University of Con- cepci´on,Chile (Jan. 2006). • Postgraduate grant for PhD studies from National Council of Scientific and Technological Research CONICET, Argentina (Dec. 2005 { rejected by YPF Foundation PhD studies grant). • Postgraduate \Jos´eA. Estenssoro" grant for PhD studies from YPF Foundation, Argentina (Mar. 2006 { rejected after 6 months by Spanish Government's grant for PhD studies in Spain). • Postgraduate grant for PhD studies form Spanish Government \Formation of Researcher Staff" (FPI) (Oct. 2006 { Sep. 2010). • Research grant from Mathematics Department of University of Zaragoza, Spain, for postdoctoral research (Oct. to Dec. 2010). • Research contract from Mathematics and Computation Department of University of La Rioja, Spain, for postdoctoral research (Apr. to Oct. 2011). • Research contract from Mathematics and Computation Department of University of La Rioja, Spain, for postdoctoral research (Feb. to Aug. 2012). E. Teaching experience in Mathematics { Tutoring • 2001 High school professor in Mathematics at San Luis, Argentina. • Mar. 2004 { Dec. 2005 Tutor for new undergraduate students at National University of San Luis, Argentina. • 2002 { 2006 Teaching assistant in Mathematics at National University of San Luis, Argentina, teaching Discrete Mathematics (1st year of Mathematics Degree) and Probability and Statistics (2nd year of Mathematics Degree). • Feb. 2011 { Sep. 2011 Honorary professor in Mathematics at Autonomous University of Madrid, Spain, teaching Calculus in Several Variables (1st year of Physics Degree). Date: April 2012. 1 2 CURRICULUM VITAE OF PABLO RAUL´ STINGA • Fall 2012 Integral Calculus for Science M408S at The University of Texas at Austin (USA). F. Present research areas - Keywords Fractional Laplacians and Fractional Schr¨odingerOperators, Regularity Theory (Schauder and H¨olderEsti- mates, Harnack Inequalities), Harmonic Analysis of Orthogonal Expansions and Schr¨odingerOperators, Elliptic and Parabolic Partial Differential Equations, Semigroup Theory, Approximations for Stochastic Partial Differ- ential Equations. G. Publications and preprints 1. P. R. Stinga and J. L. Torrea, Extension problem and Harnack's inequality for some fractional operators, Comm. Partial Differential Equations 35 (2010), 2092{2122. 2. P. R. Stinga and J. L. Torrea, Regularity theory for the fractional harmonic oscillator, J. Funct. Anal. 260 (2011), 3097{3131. 3. I. Abu-Falahah, P. R. Stinga and J. L. Torrea, Square functions associated to Schr¨odingeroperators, Studia Math. 203 (2011), 171{194. 4. T. Ma, P. R. Stinga, J. L. Torrea and C. Zhang, Regularity properties of Schr¨odingeroperators, J. Math. Anal. Appl. 388 (2012), 817{837. 5. O.´ Ciaurri, L. Roncal and P. R. Stinga, Fractional integrals on compact Riemannian symmetric spaces of rank one, Adv. Math. 235 (2013), 627{647. 6. P. R. Stinga and C. Zhang, Harnack's inequalities for fractional nonlocal equations, Discrete Contin. Dyn. Syst. 33 (2013), 3153{3170. 7. J. J. Betancor, R. Crescimbeni, J. C. Fari~na,P. R. Stinga and J. L. Torrea, A T 1 criterion for Hermite- n Calder´on-Zygmund operators on the BMOH (R ) space and applications, Ann. Sc. Norm. Super. Pisa Cl. Sci. (2011), accepted for publication. 8. T. Ma, P. R. Stinga, J. L. Torrea and C. Zhang, Regularity estimates in H¨olderspaces for Schr¨odinger operators via a T 1 theorem, Ann. Mat. Pura Appl. (2012), accepted for publication. 9. I. Gy¨ongyand P. R. Stinga, The rate of convergence of Wong{Zakai approximations for stochastic partial differential equations, Proceedings of the Seventh Seminar on Stochastic Analysis, Random Fields and Applications, Ascona 2011, accepted for publication. 10. L. Roncal and P. R. Stinga, Fractional Laplacian on the torus, (2012) submitted. 11. I. Abu-Falahah, P. R. Stinga and J. L. Torrea, A note on the almost everywhere convergence to initial data for some evolution equations, (2012) submitted. 12. J. E. Gal´e,P. J. Miana and P. R. Stinga, Extension problem for fractional operators: semigroups and wave equations, (2012), submitted. 13. P. L. De N´apoli and P. R. Stinga, The fractional Laplacian on the sphere, in preparation. 14. J. Dziuba´nski,M. Preisner, L. Roncal and P. R. Stinga, Hardy spaces for Fourier-Bessel expansions, in preparation. 15. J. J. Betancor, A. Castro and P. R. Stinga, The fractional Bessel equation in H¨olderspaces, in prepara- tion. 16. J. J. Betancor, R. Crescimbeni, P. R. Stinga and J. L. Torrea, The geometry of Banach spaces through Carleson measures in the Schr¨odingercontext, in preparation. 17. J. J. Betancor, A. Castro, J. C. Fari~na,L. Rodr´ıguez-Mesaand P. R. Stinga, Triebel-Lizorkin spaces for some orthogonal expansions, in preparation. 18. F. J. Mart´ın-Reyes, P. R. Stinga and J. L. Torrea, One sided square functions and BMO, in preparation. 19. F. J. Mart´ın-Reyes, P. R. Stinga and J. L. Torrea, Fractional one sided Laplacians, in preparation. H. Presentations in congresses • Scientific communication at Annual Meeting of the Argentinean Mathematical Union UMA 2009 { LIX Scientific Communications Meeting, Mar del Plata (Argentina), Sep. 21{26, 2009. • Invited conference at XII Real and Complex Analysis Meetings 2010 { XII EARCO, Haro (Spain), Apr. 22{24, 2010. • Contributed talk at Harmonic Analysis and Orthogonal Systems IV, Bedlewo (Poland), Sep. 19{24, 2010. • Invited conference at 22nd International Workshop on Operator Theory and its Applications IWOTA 2011, Sevilla (Spain), Jul. 3{9, 2011. • Invited conference at Workshop of Young Researchers in Mathematics 2011, Universidad Complutense de Madrid (Spain), Sep. 21{23, 2011. • Invited conference at VI Research Meeting in Approximation Theory, EITA 2011, Canfranc (Spain), Oct. 21{23, 2011. CURRICULUM VITAE OF PABLO RAUL´ STINGA 3 • Contributed talk at 9th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial 2012, El Escorial (Spain), June 11{15, 2012. • Poster at Nonlocal Operators: Analysis, Probability, Geometry and Applications, ZiF Bielefeld (Germany), Jul. 9{14, 2012. • Scientific communication at IV Latinamerican Congress of Mathematicians, CLAM 2012, C´ordoba(Ar- gentina), Aug. 6{10, 2012. • Contributed talk at Special Functions, Partial Differential Equations and Harmonic Analysis, a conference in honor of Calixto P. Calder´on, Roosevelt University, Chicago (USA), Nov 16{18, 2012. I. Invited seminars • \Sobolev spaces associated to the harmonic oscillator" at Institute of Applied Mathematics San Luis (IMASL) of National University of San Luis (Argentina), Mar. 2009. • \The fractional harmonic oscillator: characterization via an extension problem, Harnack's inequality and regularity theory" at Mathematical Analysis Department of University of La Laguna (Spain), Dec. 2009. • \The extension problem for fractional powers of general second order partial differential operators" at Institute of Applied Mathematics of Litoral (IMAL) of National University of Litoral (Argentina), Feb. 2010. • \Extension problem and Harnack's inequality for some fractional operators" at Mathematics Department of Autonomous University of Madrid (Spain), Feb. 2010. • \El rol del semigrupo del calor en problemas que involucran operadores fraccionarios" at Jos´eLuis Rubio de Francia Seminar of University of Zaragoza (Spain), May 2010. • \Fractional powers of second order partial differential operators: extension problem and regularity theory" at Mathematics Department of Autonomous University of Madrid (Spain), May 2010. • \Fractional powers of second order partial differential operators: extension problem and regularity theory" at TU Delft Applied Mathematics Colloquium (The Netherlands), Sep. 2010. • \Fractional Laplacians: extension problem and regularity theory" at Mathematics Department of University of Buenos Aires (Argentina), Nov. 2010. • \Funciones cuadrado asociadas a operadores de Schr¨odinger" at Jos´eLuis Rubio de Francia Seminar of University
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