Alfredo Deaño
Universidad Carlos III de Madrid
Avda. de la universidad, 30. 28911, Madrid, Spain.
Office 2.2.D13
email: alfredo.deanho (...) uc3m.es
Work information
Associate professor (Profesor Titular de Universidad), Departamento de Matemáticas, Universidad Carlos III de Madrid, Spain. 2021-present
Visiting professor (Profesor Visitante), Departamento de Matemáticas, Universidad Carlos III de Madrid, Spain. 2020-2021.
Reader in Mathematics, School of Mathematics, Statistics and Actuarial Science (SMSAS), University of Kent, United Kingdom, 2019-2020.
Lecturer in Mathematics, School of Mathematics, Statistics and Actuarial Science (SMSAS), University of Kent, United Kingdom, 2015-2019.
Assistant professor (Profesor Ayudante Doctor), Departamento de Matemáticas, Universidad Carlos III de Madrid, Spain. 2009-2012, 2014-2015.
Academic information
PhD in Mathematics, Universidad Carlos III de Madrid, Spain, 2006. Advisor: Javier Segura Sala
BSc in Mathematics, Universidad Autónoma de Madrid, Spain, 2001.
BSc in Music (flute), Real Conservatorio Superior de Música de Madrid, 1999.
Research interests
Special functions, orthogonal polynomials, random matrices, asymptotic analysis, numerical analysis
Some recent publications
Book
A. Deaño, D. Huybrechs, A. Iserles. Computing highly oscillatory integrals. SIAM, 2017. DOI: https://doi.org/10.1137/1.9781611975123
Papers (also available on ArXiv)
A. Deaño, A. B. J. Kuijlaars, P. Román. Asymptotics of matrix valued orthogonal polynomials on [-1,1]. https://arxiv.org/abs/2210.00797
A. Deaño. On the Riemann-Hilbert approach to asymptotics of tronquée solutions of Painlevé I. https://arxiv.org/abs/2301.11188
A. Deaño, L. Morey, P. Román. Non Abelian Toda-type equations and matrix valued orthogonal polynomials. https://arxiv.org/abs/2302.14789
A. Barhoumi, P. M. Bleher, A. Deaño, M. Yattselev. Investigation of the two-cut phase region in the complex cubic ensemble of random matrices. J. Math. Phys. 63, 063303 (2022).
A. Deaño, A. Deaño, N. J. Simm. Characteristic polynomials of complex random matrices and Painlevé transcendents. Int. Math. Res Notices. Volume 2022, Issue 1, January 2022, Pages 210–264.
A. F. Celsus, A. Deaño, D. Huybrechs, A. Iserles. The kissing polynomials and their Hankel determinants. Transactions of Mathematics and Its Applications, Volume 6, Issue 1, January 2022, tnab005. DOI: https://doi.org/10.1093/imatrm/tnab005
A. B. Barhoumi, A. F. Celsus, A. Deaño. Global Phase Portrait and Large Degree Asymptotics for the Kissing Polynomials. Stud. Appl. Math. 147, 2 (2021), 448-526. DOI: https://doi.org/10.1111/sapm.12387
A. Deaño, B. Eijsvoogel, P. Román. Ladder relations for a class of matrix valued orthogonal polynomials. Stud. Appl. Math. 146, 2 (2020), 463-497 DOI: https://doi.org/10.1111/sapm.12351
A. Deaño. Large z Asymptotics for special function solutions of Painlevé II in the complex plane. SIGMA 14, 107 (2018), 19 pages. DOI: https://doi.org/10.3842/SIGMA.2018.107
C. Charlier, A. Deaño. Asymptotics for Hankel determinants associated to a Hermite weight with a varying discontinuity. SIGMA 14, 018 (2018), 43 pages. DOI: https://doi.org/10.3842/SIGMA.2018.018
A. Deaño, N. J. Simm.On the probability of positive-definiteness in the gGUE via semi-classical Laguerre polynomials. J. Approx. Theory, 220 (2017), 44-59. DOI: https://doi.org/10.1016/j.jat.2017.04.004
P. M. Bleher, A. Deaño, M. Yattselev. Topological Expansion in the Complex Cubic Log-Gas Model: One-Cut Case. J. Stat. Phys. 166, 3-4 (2017), 784-827. DOI: https://doi.org/10.1007/s10955-016-1621-x
A. Deaño, E. J. Huertas, P. Román. Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure. J. Math. Anal. Appl. 433, 1 (2016), 732-746. DOI: https://doi.org/10.1016/j.jmaa.2015.08.002
A. Deaño. Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval. J. Approx. Theory, 186 (2014), 33-63. DOI: https://doi.org/10.1016/j.jat.2014.07.004
P. M. Bleher, A. Deaño. Painlevé I double scaling limit in the cubic matrix model. Random Matrices: Theory Appl. 05, 1650004 DOI: https://doi.org/10.1142/S2010326316500040