Alejandro Santacruz Hidalgo
PhD Mathematics
About Me
My name is Alejandro and I am a mathematics PhD graduate from The University of Western Ontario. My research interest is in the area of real and functional analysis, more specifically, in topics associated with function spaces, interpolation of operators, harmonic analysis, and noncommutative measure theory. So far my research goal has been to develop a theory that will enable the powerful tools associated with monotone functions to be applied to functions on spaces with no fixed order. I currently looking for a postdoc position where I would have the opportunity to develop these tools in general spaces and investigate their connections with other areas of mathematics such as abstract harmonic analysis and partial differential equations.
Research statement Teaching statement
Research interests: Hardy inequalities, Function Spaces, Positive operators, Noncommutative measure theory, Fourier inequalities.
Contact
Alejandro Santacruz Hidalgo PhD in Mathematics asantacr@uwo.ca
Publications
| Papers in refereed journals | ||||||||
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| 2. Abstract Hardy inequalities: The case p=1 (2024) | ||||||||
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| 1. Core decreasing functions (2024) | ||||||||
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| Non-refereed publications | ||||||
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| 1. Monotone Functions On General Measure Spaces (2024) | ||||||
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| 2. Existence of weak solution to the Cauchy problem associated with the ARG traffic model (2017) (In Spanish) | ||||||
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Teaching
| Current Teaching | |
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| University of Western Ontario | |
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| Past teaching | |
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| King's University College | |
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| University of Western Ontario | |
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| National University of Colombia | |
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| Teaching development | |
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Conference talks
| The 50,60,80 Conference in Mathematics. | ||||
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| Karlstad, Sweden, August 20/2024 | ||||
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| Workshop in Analysis and Probability Seminar. | ||||
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| College Station, Texas, USA, July 17/2024 | ||||
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| Function Spaces XIII | ||||
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| Poznan, Poland, July 8/2024 | ||||
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| Canadian mathematical society Summer meeting. | ||||
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| Saskatoon, Canada, June 2/2024 | ||||
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| Spring school on analysis 2023 | ||||
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| Paseky nad Jizerou, Czech Republic, May 30/2023 | ||||
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| Twelfth Ohio river analysis meeting | ||||
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| Cincinnati, United States of America, March 18/2023 | ||||
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| Canadian mathematical society Winter meeting | ||||
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| Toronto, Canada, Dec 5/2022 | ||||
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| 12th International confernece on nonlinear analysis, function spaces and applications | ||||
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| Prague, Czech Republic, May 30/2022 | ||||
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Contact
Alejandro Santacruz Hidalgo PhD in Mathematics asantacr@uwo.ca