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Curriculum Vitae

Yon can find my complete CV in this link

Positions
February 2024 - Ongoing        Associated professor,
                                                  Universidad Nacional de Colombia
                                                  Sede Bogotá.
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July 2022 - January 2024        Assistant professor,
                                                  Universidad Nacional de Colombia
                                                  Sede Medellín.
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August 2018 - June 2022                Assistant professor,
January - August 2017                   Universidad Sergio Arboleda

                                                           

September 2017 -August 2018    PostDoc.

                                                          University of Vienna

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March 2016 - December 2016     Ocasional professor,                                                                                Universidad Sergio Arboleda

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Education
February 2013 - February 2016   Ph.D. Mathematics

                                                          Universidad de Valladolid (Spain)

                                                        Advisors: 

                                                        Jorge Mozo, David Blázquez 

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September 2011 - July 2012         Máster en Matemáticas

                                                          Universidad de Valladolid (Spain)

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January 2009 - December 2010   M.Sc. in Mathematics

                                                          Universidad Nacional de Colombia

                                                          Bogotá, Colombia​

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January 2005 - May 2009              Bachelor in Mathematics,                                                                            Universidad Sergio Arboleda

                                                          Bogotá, Colombia

Publications

Here you can find my list of publications, with links to the journals and to full texts for download.

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            ORCID Code 0000-0002-0479-4747    Author ID SCOPUS

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Publications in refereed Journals ​
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  1. ​Carrillo S. A., (2023) Pythagorean boxes and quotients of Gaussian integers. The American Mathematical Monthly, 130(1), pp. 76-82.                                                                                                                                                  DOI 10.1080/00029890.2022.2128160 Avaiable here.

  2. Carrillo S. A., Lastra A. (2023) Formal Gevrey solutions - in analytic germs - for higher order holomorphic PDEs. Mathematische Annalen,  386, pp. 85-112.                                                                                                 doi.org/10.1007/s00208-022-02393-w, arxiv.org/abs/2106.12092

  3. Carrillo S. A. (2022) The composition of polynomials is a determinant. The American Mathematical Monthly, 129(2) pp. 151-165.                                                                                                       doi.org/10.1080/00029890.2022.2005390 Available here.

  4. Carrillo S. A., (2021) A quick proof of the regularity of the flow of analytic vector fields. C. R. Mathématique, 359(9) pp. 1155-1159.                                                                                                                   doi.org/10.5802/crmath.271.​

  5. Carrillo S. A., (2021)  Hurtado M., Appell and Sheffer sequences: on their characterizations through functionals and examples. C. R. Mathématique, 359(2) pp. 205-217 doi/10.5802/crmath.172  arxiv:2010.09702

  6. Carrillo S. A., (2021)  Summability in a monomial for some classes of singularly perturbed partial differential equation. Publ. Mat.,  65 (1)  83-127.                                                           doi/10.5565/PUBLMAT6512103  arXiv:1803.06719v2

  7. Carrillo S.A., Mozo-Fernández J., Schäfke R., (2020) Tauberian theorems for summability in analytic functions. J. Math. Anal. Appl., 489(2) 124174  pp. 1-21.  doi.org/10.1016/j.jmaa.2020.124174 arXiv:1903.08898

  8. Carrillo, S. A.,  Mozo-Fernández, J. An extension of Borel-Laplace methods and monomial summability. J. Math. Anal. Appl. (2018) 457(1) pp. 461-477.                                     doi.org/10.1016/j.jmaa.2017.08.028 arXiv:1609.07893

  9. Carrillo, S. A.,  Mozo-Fernández, J. Tauberian properties for monomial summability with appliactions to Pffafian systems. J. Diff. Equations (2016) 261(12) pp. 7237-7255. doi.org/10.1016/j.jde.2016.09.017 arXiv:1603.02840v2

  10. Carrillo, S. A.,  Sanz, F. Briot-Bouquet's theorem in high dimension, Publ. Mat. (2014) 58 suppl., pp. 135-152. DOI: 10.5565/PUBLMAT\_Extra14\_07. 

  11. Blázquez-Sanz, D., Carrillo, S. A. Group Analysis of Non-Autonomous Linear Hamiltonians Through Differential Galois Theory. Lobachevskii Journal of Mathematics (2010) 31 (2)  pp.157-173. doi.org/10.1134/S1995080210020071​ Erratum: (2011) Vol. 32, No. 3, pp. 238–240. doi.org/10.1134/S1995080211030073

Preprints
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  1. Carrillo S. A. (2024) A Relation Between Higher Order Analogues to Raabe’s and Jamet’s Tests. To appear in The American Mathematical Monthly. Avialable here.

  2. Carrillo S. A., Lastra A. (2023) q-Nagumo norms and formal solutions to singularly perturbed q-difference equations. Available at arxiv.org/abs/2307.15096

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Chapters in books​
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  1. Carrillo S. A., Hurtado C. A. Formal P-Gevrey series solutions of first-order holomorphic PDEs. Chapter 16 in: Formal and Analytic Solutions of Differential Equations, pp. 325-362. 2022. World Scientific Publishing Europe Ltd, ISBN: 978-1-80061-135-1.                                                doi.org/10.1142/9781800611368_0016  arxiv.org/abs/2002.04404

  2. Carrillo, S. A.,  Mozo-Fernández, J. Spaces of Asymptotically Developable Functions and Applications. In: Mathematical Analysis and Applications: Selected Topics. 2018 John Wiley & Sons, Inc. ISBN: 978-1-119-41433-9 doi.org/10.1002/9781119414421.ch1

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Others -teaching/divulgative-​
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  1. Carrillo S. A. Sum of alternating-like series as definite integrals. International Journal of Mathematical Education in Science and Technology, pp. 1-11.                                                                                                           doi: 10.1080/0020739X.2021.1949060 Avaiable here.(Previous version arxiv:2010.10290)

  2. Cano L., Carrillo S.A. Can we detect Gaussian curvature by counting paths and measuring their length? Rev. Integr. temas mat. 38 (2020), No. 1, 33–42.                                                                               doi.org/10.18273/revint.v38n1-2020003. arxiv:1708.04914v2 ISSN 0120-419X 

  3. Carrillo S. A. Bernoulli and Euler numbers from divergent series. arXiv:1903.09228

Theses​
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  1. Monomial multisummability through Borel-Laplace transforms. Applications to singularly perturbed differential equations and Pfaffian systems (2016) PhD thesis. Universidad de Valladolid. Available here

  2. Teorema de Briot-Bouquet en dimensión superior (2012) Master thesis. Universidad de Valladolid. Available here

  3. Integrabilidad de sistemas Hamiltonianos lineales no-autónomos a través de teoría de Galois diferencial (2011) Master thesis. Universidad Nacional de Colombia, sede Bogotá. Available here

  4. Constructibilidad mediante funciones Liouvillianas de curvas con curvatura y torsión funciones racionales (2009) Bachelor thesis. Universidad Sergio Arboleda.

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