LUIS DUQUE

I am a PhD student in the department of mathematics at the University of Texas at Austin under the supervision of Luis Caffarelli.
My area of research is partial differential equations and free boundary problems. I am also interested in machine learning and data mining
Expected graduation date: May 2018
Email: lduque [at] math [dot] utexas [dot] edu

PREPRINTS

The double obstacle problem on non divergence form (arXiv: 1709.07072). Submitted.
(with L. Caffarelly and H. Vivas) The two membranes problem for fully nonlinear operators (arXiv:1708.09420). Submitted.
Free boundary regularity for a problem with two obstacles. On preparation.

TALKS

(December 2017) Matematicas por Estudiantes, Universidad de los Andes
(October 2017) Computational and Applied Mathematics seminar, Iowa State University
(September 2017) Texas Applied mathematics and Engineering Symposium, The University of Texas at Austin.
(December 2016) Coloquio de Matematicas, Universidad Nacional de Colombia
(January 2016) Seminario Institucional, Universidad de Antioquia

TEACHING

(Sprint 2014) Calculus (TA)
(Fall 2014) Statistics (TA)
(Fall 2014) Partial Differential Equations (TA)
(Fall 2016) Graduate Analysis (TA)
(Summer 2016) Discrete Mathematics
(Fall 2017) Graduate Analysis (TA)

ADITIONAL INFORMATION

Participated on the Quora Pairs Kaggle competition
Fluent in C++
Served as undergraduate student mentor in the Direct Reading Program (DRP) at UT Austin.
Linkedin: https://www.linkedin.com/in/luis-duque-a690ab12a/
Delivered outreach math talks at the Saturday Morning Math Group (May 2017) and at #Notsomath (October 2016)

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