1. No category

Mario Diaz
As a PhD student in random matrix theory, free probability theory and their applications, I am
looking for a postdoctoral position where I can collaborate to solve challenging real world problems
whose solutions may require the application and development of the aforementioned or related
areas.
Personal Information
Current Address
Age
Marital Status
e-mail
Webpage
Kingston ON, Canada
27 years old
Married
[email protected]
www.mariodiaztorres.com
Education
PhD Mathematics and Statistics
Queen’s University
(Expected) 2017
Kingston, Canada.
MSc Probability and Statistics
Centro de Investigación en Matemáticas, A.C.
2013
Guanajuato, Mexico.
BEng Electronics and Communications
Universidad de Guadalajara
2011
Guadalajara, Mexico.
Academic Experience
• PhD Thesis: In progress. Supervisors: J. Mingo ([email protected]) and S. Belinschi
([email protected]).
• MSc Thesis: Analysis of the Asymptotic Spectra of Multiantenna Channels via Free Probability.
Supervisor: V. Pérez-Abreu ([email protected]). Written in Spanish. Available at my webpage.
• BEng Thesis: Analysis of the Asymptotic Ergodic Spectral Efficiency of MIMO Systems with
Kronecker Correlation. Supervisor: V. Pérez-Abreu. Written in Spanish. Available at my webpage.
• National System of Researchers (SNI) Research Assistant under the supervision of V. PérezAbreu, 2009 - 2011. Worked on the analysis of the asymptotic ergodic capacity of multiantenna
wireless systems.
• Research Assistant at the Institute of Robotics and Intelligent Systems (UdeG), 2008 - 2009.
Worked on the implementation of non-asymptotic improvements to a motion planning algorithm
based on the visibility graph and A*-search. Also worked on the implementation of RapidlyExploring Random Trees using KD-trees for nearest neighbour search.
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Mario Diaz
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Publications and Preprints
• On the symmetries and the capacity achieving input covariance matrices of multiantenna channels.
Accepted for presentation at the International Symposium on Information Theory. Barcelona,
Spain, Jul. 2016. arXiv:1602.00043 [cs.IT]
• Information extraction under privacy constraints. With S. Asoodeh, F. Alajaji and T. Linder.
Information 2016, 7, 15. doi:10.3390/info7010015
• On the capacity of block multiantenna channels. With V. Pérez-Abreu. Submitted.
arXiv:1511.03686 [cs.IT]
• On random operator-valued matrices: operator-valued semicircular mixtures and central limit
theorem. Preprint. arXiv:1410.3500 [math.PR]
• Random matrix systems with block-based behavior and operator-valued models. With V. PérezAbreu. Preprint. arXiv:1404.4420 [math.PR]
Seminar and Colloquium Talks
Seminar and colloquium talks given at Universidad de Guadalajara, Centro de Investigación en
Matemáticas, Queen’s University, Texas A&M University, Institut de Mathématiques de Toulouse
and Universität des Saarlandes.
Awards
Ontario Trillium Scholarship. Canada, 2013 - 2017.
Only 75 of these scholarships are awarded every year in the whole province of Ontario.
Science and Technology National Council (CONACYT) Graduate Scholarship. Mexico, 2011 - 2013.
National System of Researchers (SNI) Undergraduate Research Assistantship. Mexico, 2009 - 2011.
Miscellaneous Academic Activities
• Coordinator of the Math & Stats Graduate Seminar at Queen’s University, since Sept. 2015.
• Organizer of a series of mini courses on probability, statistics and related topics given by graduate
students at Centro de Investigación en Matemáticas, A.C., Mexico 2013.
• Lecturer of a brief course on Coding Theory at CUCEI Universidad de Guadalajara, Mexico 2011.
• Coach of the CUCEI Univ. de Guadalajara’s programming contest teams, Mexico 2008 - 2011.
• TopCoder rating: 1351, 2009. Profile: https://www.topcoder.com/members/Cumbias/
TopCoder is a company which organizes online computer programming competitions.
• Coach of the Jalisco team for the Mexican Mathematical Olympiad (high-school), 2006 - 2008.
Mario Diaz
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Work Experience
Teaching Assistant (Centro de Investigación en Matemáticas, A.C. and Universidad de Guanajuato). Guanajuato, Mexico, 2012 - 2013. Courses: Markov Chains, Stochastic Models, Elements of
Probability and Statistics.
Warranty Technician (Informática AD). Jalisco, Mexico, 2009.
Most Relevant Conferences and Workshops Attended
• Canadian Ann. Symp. on Operator Algebras and Their Apps. (COSy). Montreal, Canada, 2016.
• Great Plains Operator Theory Symposium (GPOTS). Urbana-Champaign, U.S., 2016.
• Canadian Ann. Symp. on Operator Algebras and Their Apps. (COSy). Waterloo, Canada, 2015.
• Inter-institutional Seminar on Random Matrices (SIMA). Guanajuato, Mexico, 2015.
Talk given: Free Probability Based Optimizations: Capacity of Multiantenna Comm. Systems.
• Conference on Stochastic Processes and their Applications (SPA). Buenos Aires, Argentina, 2014.
Talk given: On an operator-valued free probability based model for systems with block dynamics.
• Free Probability Concentration Week. College Station, U.S., 2014.
• Random Matrices School (EMA). Guanajuato, Mexico, 2012.
Talk given: Marchenko-Pastur law and multiantenna communications.
• Workshop on Solutions to Industrial Problems. Guanajuato, Mexico, 2012.
• Inter-institutional Seminar on Random Matrices (SIMA). Guanajuato, Mexico, 2011.
Talk given: Some numerical aspects of the Stieltjes transform: correlated MIMO systems.
• National Conference and Int’l Conference in Computer Science ANIEI. Jalisco, Mexico, 2010.
• Summer Research Program. Guanajuato, Mexico, 2010.
• Inter-institutional Seminar on Random Matrices (SIMA). Guanajuato, Mexico, 2010.
Talk given: Correlated MIMO systems.
• Inter-institutional Seminar on Random Matrices (SIMA). Guanajuato, Mexico, 2009.
Talk given: Random Matrices: An Application to Wireless Communication (Multiuser Detection).
• Summer Program in Probability and Statistics. Guanajuato, Mexico, 2009.
• Summer Research Program. Guanajuato, Mexico, 2009.
• Stochastic Methods and Dynamical Systems. Guanajuato, Mexico, 2009.
• Workshop on Solutions to Probability Problems: Second Phase. Yucatan, Mexico, 2008.
• Workshop on Solutions to Probability Problems: First Phase. Guanajuato, Mexico, 2008.
• National Conference and Int’l Conference in Computer Science ANIEI. Chih., Mexico, 2007.
• Workshop on Solutions to Calculus Problems. Guanajuato, Mexico, 2007.
Mario Diaz
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Most Relevant Results in Academic Contests
• Mexico and Central America ACM ICPC Programming Contest.
Sixth Place. Jalisco, Mexico, 2010.
• ANIEI Programming Contest.
First Place. Jalisco, Mexico, 2010.
• National Math Contest “Pierre Fermat”.
Finalist. Mexico City, Mexico, 2008.
• ACM International Collegiate Programming Contest World Finals.
Honorable Mention. Banff, Canada, 2008.
• Mexico and Central America ACM ICPC Programming Contest.
First Place. Jalisco, Mexico, 2007.
• ANIEI Programming Contest.
First Place. Chihuahua, Mexico, 2007.
• Univesidad de Guadalajara Calculus Tournament.
First Place. Jalisco, Mexico, 2007.
• Historical Essay Contest “Vida y Obra de Benito Juárez”.
First Place. Jalisco, Mexico, 2006.
• XIX Mexican Mathematical Olympiad.
Second Place. Campeche, Mexico, 2005.
• XV National Contest in Physical Devices and Experiments.
Mexico City, Mexico, 2005.
Computer Skills
Languages: C/C++, MatLab, R.
Applications: Simulink, LATEX, MS Office.
Languages
Spanish: native speaker.
English: good command.
Last Update: June, 2016.