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Post-Quantum Cryptography

Cryptography is the science that studies problems such as how to maintain our private information secret and how to authenticate y origin and content of messages sent over digital channels.


Currently, there exists a great threat to our security system in the form of quantum computation, which has the potential to break all of the protocols commonly used today with great ease. Although quantum computers do not yet exist (at least not in a practical form), this has created an urgent need to develop newer protocols that are “quantum-proof”. The development and study of these systems is called Postquantum Cryptography, and is the focus of my work.


Since 2017, the United State ́s National Instituteof Standards and Technology (NIST) has started a process to solicit, evaluate and standardize one or more post-quantum protocols. My research focuses on evaluating the security provided by the candidates to this contest, which is done by devising attacks on them and evaluating the resources (such as memory or running time) that such an attack would require. I am particularly interested in evaluating quantum attacks against a particular kind of post-quantum cryptography named isogeny-based cryptography, andhope to obtain results that will shed light into matters such as what size our keys should have to attain optimal performance without compromising security.

High Energy Physics

Before focusing on cryptography, I also did research in theoretical high energy physics for my master's degree. My research focused on violations to lepton flavor universality, which is the idea that the interactions of the standard model are symmetric under the three lepton flavors (electrons, muons and taus). This can be tested by studying how often a heavy meson decays into each of the flavors, and I studied some discrepancies on these frequencies which are published here.
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