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My name is Sílvia Casacuberta Puig and I am from Barcelona (Spain), although I am currently studying at Harvard University (USA),
where I plan to concentrate in Mathematics. I created this webpage while I was a high school student at Aula Escola Europea (Barcelona).
There I studied for the International Baccalaureate Diploma focusing on Mathematics and Physics thanks to the CiMs-CELLEX sponsorships for high school
studies in Mathematics and science. This website is the result of three different projects that I carried out during my last year of high school: firstly,
a work about p-adic numbers focusing on the applications for the factorial function. Secondly, a work about the distribution of primitive roots.
These two last projects have been tutorized by my math teacher Xavier Taixés. Finally, a work about the divisibility on binomial coefficients,
which has been tutorized by Oscar Mickelin, a graduate student at the Mathematics Department of the Massachusetts Institute of Technology.
This last project has been possible due to the Joves i Ciència program by Fundació Catalunya la Pedrera. They sponsored my summer experience at
the Research Science Institute offered by the Center for Excellence in Education at MIT. I would like to acknowledge all of them for allowing me to do
research in math. I would also like to thank Dr. John Rickert, from the Rose-Hulman Institute of Technology, and Óscar Rivero, from the Universitat Politècnica de Catalunya, for their remarks on the projects. I am also very grateful to my family and especially to my father, who taught me the beauty of math.
Here you can find the links to the webpages of these institutions:
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Here you can find the talks I have given about my project in Catalan, Spanish and English. I also attach a link to my full work
(Open problems with factorials), a link to a paper I posted in the arXiv with one of the main results of my work on p-adic numbers, and finally
the article version of the divisibility of binomial coefficients which is also posted in the arXiv.
Please feel free to contact me if you have any questions or inquiries at silvia.casac@gmail.com
