Invited Conference talks. Contributed Conference talks

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1 Curriculum Vitae Abey López-García Current Position Assistant Professor of Mathematics since August 2017 Department of Mathematics University of Central Florida address: Education Ph.D. in Mathematics, Vanderbilt University, USA, Thesis title: Two problems in Computational Analysis: Multiple Orthogonal Polynomials and Greedy Energy Points, Advisor: Edward B. Saff. B.S. in Mathematics, Universidad Complutense de Madrid, Spain, Past academic positions Assistant Professor, University of South Alabama, FWO postdoctoral research fellow, University of Leuven, Belgium, Research interests Multiple orthogonal polynomials. Potential theory, discrete minimal energy problems. Riemann-Hilbert problems. Random matrix theory. Publications (1) A. López-García and G. López Lagomasino, Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials, J. Approx. Theory 225 (2018), (2) A. López-García and E. Miña-Díaz, Nikishin systems on star-like sets: algebraic properties and weak asymptotics of the associated multiple orthogonal polynomials, to appear in Sb. Math. (3) A. López-García and D.A. Wagner, Asymptotics of the energy of sections of greedy energy sequences on the unit circle, and some conjectures for general sequences, Comput. Methods Funct. Theory 15 (2015), (4) A.B.J. Kuijlaars and A. López-García, The normal matrix model with monomial potential, a vector equilibrium problem, and multiple orthogonal polynomials on a star, Nonlinearity 28 (2015), (5) S. Delvaux and A. López, High order three-term recursions, Riemann-Hilbert minors and Nikishin systems on star-like sets, Constr. Approx. 37 (2013), (6) S. Delvaux, A. López and G. López Lagomasino, A family of Nikishin systems with periodic recurrence coefficients, Sb. Math. 204 (2013), (7) A. López García, Asymptotics of multiple orthogonal polynomials for a system of two measures supported on a starlike set, J. Approx. Theory 163 (2011), (8) A. López García and E.B. Saff, Asymptotics of Greedy Energy Points, Math. Comp. 79 (2010), (9) A. López García, Greedy energy points with external fields, Recent Trends in Orthogonal Polynomials and Approximation Theory, Contemporary Mathematics, vol. 507, AMS, Providence, RI, 2010, (10) U. Fidalgo Prieto, A. López García, G. López Lagomasino, and V.N. Sorokin, Mixed type multiple orthogonal polynomials for two Nikishin systems, Constr. Approx. 32 (2010), (11) A. López García and G. López Lagomasino, Relative asymptotics of multiple orthogonal polynomials for Nikishin systems, J. Approx. Theory 158 (2009),

2 (12) A. López García and G. López Lagomasino, Ratio asymptotics of Hermite-Padé orthogonal polynomials for Nikishin systems II, Adv. Math. 218 (2008), (13) M.A. Jiménez Pozo and A. López García, Aplicaciones del Álgebra de Boole métrica a la Teoría de la Medida, La Gaceta de la RSME 9.1 (2006), Teaching Experience Courses taught at the University of Central Florida: Calculus II. Courses taught at the University of South Alabama: Real Analysis I, Real Analysis II, Applied Differential Equations, Linear Algebra I, Calculus I, Calculus II, Precalculus Trigonometry. Courses taught at the University of Leuven: Topics in Random Matrix Theory. Courses taught at Vanderbilt University: Calculus in one variable (parts A and B). Master and Bachelor theses directed Director of Master thesis Energy and distribution of Leja sequences on compact sets, by Douglas A. Wagner, May 2015, University of South Alabama, USA. Director, jointly with Lun Zhang, of Bachelor thesis On the minimal number of points in spherical designs, by Pieter-Jan Remaut and Mats Vermeeren, December 2011, University of Leuven, Belgium. Director, jointly with Lun Zhang, of Bachelor thesis Electrostatic models and the zeros of orthogonal polynomials, by Anne Boudewijns and Florian Goetghebeur, December 2011, University of Leuven, Belgium. Honors and Awards Support and Development Award , College of Arts and Sciences, University of South Alabama. FWO postdoctoral fellowship, granted by the Funds for Scientific Research in Flanders, Belgium, The 2010 Bjarni Jónsson Prize for Excellence in Research, Department of Mathematics, Vanderbilt University Summer Research Award, College of Arts and Science, Vanderbilt University. Fellowship Becas FPU, Ministry of Science and Technology, Spain, 04/01/ /30/2008. Participation in Spanish research projects As a member and later collaborator of the research group GAMA (Group of Applied Mathematical Analysis) from Universidad Carlos III de Madrid in Spain, I have participated in the following research projects: (1) Title of Project: Orthogonality, Approximation Theory and Applications in Mathematical Physics, (MTM C4-2-P). Financial Institution: Ministry of Economy and Competitiveness, Spain. Duration of Project: January 2016 December (2) Title of Project: Orthogonality and Approximation. Theory and Applications in Science and Technology, (MTM C03-01). Financial Institution: Ministry of Economy and Competitiveness, Spain. Duration of Project: January 2013 December (3) Title of Project: Orthogonality and Applications. Theory and Applications to Physics and Technology, (MTM C03-02). Financial Institution: Ministry of Science and Technology, Spain. Duration of Project: 12/01/ /30/2009. (4) Title of Project: Hermite-Padé Approximation, non-standard orthogonality and applications, (CCG07- UC3M/ESP-3339). Financial Institutions: Universidad Carlos III de Madrid and Comunidad de Madrid, Spain. Duration of Project: 01/01/ /31/

3 (5) Title of Project: Orthogonality and Approximation: Theory and applications, (CCG06-UC3M/ESP- 0690). Financial Institutions: Universidad Carlos III de Madrid and Comunidad de Madrid, Spain. Duration of Project: 01/01/ /31/2007. (6) Title of Project: Orthogonal Polynomials and Applications to Systems Theory, Information Entropies and Numerical Integration, (UC3M-CAM MTM ). Financial Institutions: Universidad Carlos III de Madrid and Comunidad de Madrid, Spain. Duration of Project: 01/01/ /31/2006. Invited Conference talks (1) 2017 Fall Southeastern Sectional Meeting, University of Central Florida, September Title of talk: Random polynomials satisfying a three-term recurrence relation. (2) 2017 AMS-MAA Joint Mathematics Meeting, January 4 7, Title of talk: Nikishin systems on star-like sets and associated multi-orthogonal polynomials. (3) Orthogonal and Multiple Orthogonal Polynomials, Casa Matemática de Oaxaca, Oaxaca, Mexico, August 9 14, Title of talk: Multiple Orthogonal Polynomials for a Nikishin System on a Star-Like Set. (4) Cincinnati Symposium on Probability Theory and Applications 2014, University of Cincinnati, USA, September 19 21, Title of talk: The normal matrix model with monomial potential and multiorthogonality on a star. (5) Workshop on random matrices, University of Leuven, Belgium, June 7, Title of talk: A vector equilibrium problem for the normal matrix model. (6) 1st Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Liège, Belgium, June 6 8, Title of talk: Multiple orthogonal polynomials related to the normal matrix model. (7) Workshop on Potential Theory and Applications, Szeged, Hungary, May 28 31, Title of talk: Multiple orthogonal polynomials related to the normal matrix model. (8) 13th International Conference in Approximation Theory, San Antonio, Texas, March 7 10, Title of talk: Multiple orthogonal polynomials on a starlike set. Contributed Conference talks (1) Constructive functions 2014, Vanderbilt University, USA, May 26 30, Title of talk: Multiple orthogonal polynomials on a star. (2) International Conference on Approximation Theory and Applications, City University of Hong Kong, Hong Kong, May 20 24, Title of talk: Multiple orthogonal polynomials on a (d + 1)-star. (3) Quatrièmes Journées Approximation, Université de Lille 1, France, June 28 29, Title of talk: Multiple orthogonal polynomials arising in the normal matrix model with a quartic potential. (4) 11th International Symposium on Orthogonal Polynomials, Special Functions and Applications, Universidad Carlos III de Madrid, Spain, August 29 to September 2, Title of talk: Generalized three-term recurrences and Nikishin systems on star-like sets. (5) Optimal Configurations on the Sphere and Other Manifolds, Vanderbilt University, USA, May 17 20, Title of talk: Greedy energy points in the presence of external fields. (6) Computational Methods and Function Theory 2009, Bilkent University, Ankara, Turkey, June 8 12, Title of talk: Greedy Riesz Energy Points on the Circle and Generalizations. (7) Constructive Approximation: City University of Hong Kong and Vanderbilt University Workshop, Vanderbilt University, April 27 to May 1, Title of talk: Greedy Riesz Energy Points on the Circle and Generalizations. (8) 8th International Workshop on Orthogonal Polynomials and Approximation Theory, Universidad Carlos III de Madrid, Spain, September 8 12, Title of talk: Asymptotics of Greedy Energy Points. (9) 9th International Symposium on Orthogonal Polynomials, Special Functions and Applications, CIRM, Luminy, France, July 2 6, Title of talk: Energy and Distribution of Leja sequences. (10) Geometric Measure Theoretic Approaches to Potentials on Fractals and Manifolds, MFO, Oberwolfach, Germany, April 8 14, Title of talk: Energy and Distribution of Leja sequences on the circle (invited talk). 3

4 (11) 9th European Workshop on Applications and Generalizations of Complex Analysis, Centro Internacional de Matematica, Coimbra, Portugal, July 1, Title of talk: Ratio asymptotics of multiple orthogonal polynomials. Invited colloquium and seminar talks (1) Colloquium at Department of Mathematics, University of Central Florida, September 16, Title of talk: Nikishin systems and associated multiple orthogonal polynomials. (2) Analysis Seminar, Department of Mathematics, University of Alabama at Birmingham, November 14, Title of talk: Asymptotic properties of multiple orthogonal polynomials and some applications. (3) Colloquium at Department of Mathematics, University of Central Florida, April 10, Title of talk: Spectral problems for multiple orthogonal polynomials. (4) Analysis and Geometry Seminar, Centre de Mathématiques et Informatique, Université d Aix-Marseille, France, April 29, Title of talk: Multiple orthogonal polynomials on a star and the normal matrix model. (5) Colloquium at Department of Mathematics and Statistics, University of South Alabama, March 19, Title of talk: Multiple orthogonal polynomials on star-like sets and the normal matrix model. (6) Seminario de Análisis Aplicado, Universidad Carlos III de Madrid, Spain, January 12, Title of talk: Multiple orthogonal polynomials and the normal matrix model with quartic potential. (7) Seminar at Faculty of Sciences, Université Catholique de Louvain, Belgium, April 28, Title of talk: Some discrete minimal energy problems: asymptotics of Leja and Fekete points. (8) Numerical Analysis and Partial Differential Equations Seminar, Université Lille 1, France, March 17, Title of talk: Banded Hessenberg matrices and Nikishin systems on star-like sets. (9) Analysis Seminar, University of Mississippi, October 17, Title of talk: Asymptotics of Greedy Energy Points. (10) Analysis Seminar, Indiana-Purdue University at Fort Wayne, October Title of talk: The Rakhmanov- Denisov theorem for multiorthogonal polynomials of Nikishin systems of measures. Other talks (1) Analysis Seminar, Department of Mathematics, UCF, September 19, Title of talk: Asymptotics of greedy energy sequences on the unit circle. (2) Analysis Seminar, Department of Mathematics and Statistics, Univ. South Alabama, September 8, Title of talk: Nikishin systems and associated multiple orthogonal polynomials. (3) Analysis Seminar, Department of Mathematics and Statistics, Univ. South Alabama, September 29, Title of talk: Nikishin systems on star-like sets, and the associated multiple orthogonal polynomials. (4) Student Symposium Series, Department of Mathematics and Statistics, Univ. South Alabama, November 7, Title of talk: An introduction to totally positive matrices. (5) Analysis Seminar, Department of Mathematics and Statistics, Univ. South Alabama, October 14, Title of talk: A Riemann-Hilbert problem for multiple orthogonal polynomials on a star-like set. (6) Analysis Seminar, Department of Mathematics and Statistics, Univ. South Alabama, September 30, Title of talk: An equilibrium problem for the normal matrix model and multiple orthogonal polynomials. (7) Analysis Seminar, Department of Mathematics and Statistics, Univ. South Alabama, September 9, Title of talk: Random matrices and multiple orthogonal polynomials, Part II. (8) Analysis Seminar, Department of Mathematics and Statistics, Univ. South Alabama, August 26, Title of talk: Random matrices and multiple orthogonal polynomials, Part I. (9) Classical Analysis Seminar, University of Leuven, Belgium, January 20, Title of talk: Multiple orthogonal polynomials on star-like sets. Service work at the University of Central Florida Member of the Undergraduate Mentor Committee during AY Member of the Undergraduate Assessment Committee during AY

5 Service work at the University of South Alabama Chair of the Scholarship Committee during AYs 15 16, Member of the Scholarship Committee during AY Organizer of the Analysis Seminar. Co-organizer of the 14th Mobile Mathematics Olympiad, Department of Mathematics and Statistics, March 24, Co-organizer of the 2014, 2015 and 2016 Nash mathematical contests, Department of Mathematics and Statistics. Member of the Library Committee during AY Member of the Mishra Memorial Lecture Committee during AY Member of the Colloquium Committee during AY Additional information I have served as referee for the following journals: Constructive Approximation, Journal of Approximation Theory, Computational Methods and Function Theory, Contemporary Mathematics, Linear Algebra and its Applications, Jaén Journal on Approximation, Journal of Mathematical Analysis and Applications. Language skills: English (fluent), Spanish (native), French (basic). 5

Dat Tien Cao. B.S. in Mathematics, University of Science, Vietnam National University of Ho Chi Minh City, Ho Chi Minh City, Vietnam

Dat Tien Cao. B.S. in Mathematics, University of Science, Vietnam National University of Ho Chi Minh City, Ho Chi Minh City, Vietnam Dat Tien Cao Department of Mathematics and Statistics Texas Tech University, Box 41042 Lubbock, TX 79409-1042 Email: dat.cao@ttu.edu http: // www. math. ttu. edu/ ~ dacao/ Education 07.2015 07.2008 06.2006