[Past Projects]

PhD advisor. I am currently studying invariants of links and 3-manifolds and their connections to Chern-Simons Theory. 

I attended his courses on 

• 'Topological Invariants and Representation Theory'

• 'Quantum groups and invariants of 3-manifolds'

Deriving the closed string duals to the simplest possible gauge theories, i.e., a single Hermitian matrix integral, in the conventional 't Hooft large N limit, and verifying an explicit correspondence with a (mirror) pair of closed topological string theories. Additionally, studying the relationship between Gromov-Witten theory and the Gaussian Matrix Model.

I worked with him on a project applying CFT techniques to calculate modular transformations and fusion rules of minimal models and orbifolds. BTCP 2019.

I attended his courses on 

• 'Superstring Theory'

• 'Advanced Topics in String Theory'

• 'Topological String Theory and Dualities'

Master's degree advisor. We developed a new theoretical framework for one-loop corrections in effective field theories in the context of QFT/SM, and applied it to semileptonic decays. HISKP & BCTP from 2020 to 2022.

Publications together:

• Complete theory of radiative corrections to Kℓ3 decays and the Vus update. (Link)

With C.-Y. Seng, M. Gorchtein and U.-G. Meißner.  Accepted on JHEP. 2022

• An update on |Vus | and |Vus /Vud | from semileptonic kaon and pion decays. (Link)

With C.-Y. Seng, W. Marciano and U.-G. Meißner, on PhysRevD. 2021.

• Improved Ke3 radiative corrections sharpen the Kµ2 –Kl3 discrepancy. (Link)

With  C.-Y. Seng, M. Gorchtein and U.-G. Meißner, on JHEP. 2021

• High-precision determination of the Ke3 radiative corrections. (Link)

With C.-Y. Seng, M. Gorchtein and U.-G. Meißner, on Physics Letters B. 2021.

• A New Theory Framework for the Electroweak Radiative Corrections in Kl3 Decays. (Link)

With C.-Y. Seng, and U.-G. Meißner, on JHEP. 2020.

Studied new protocols for optical scenarios in Quantum Key Distribution for Quantum cryptography using quantum information theoretical methods. Institute for Quantum Computing, Waterloo University in 2017.

Worked on mathematical methods for signal processing, particularly with the Wigner-Ville distribution for analyzing bioacoustic signals. Institute for Physical Science, UNAM in 2016.

Advisor for my bachelor's thesis. We studied new models for Partially Massless Gravity and self-duality in 3 dimensions. Center for Fundamental Physics, ULA 2018.

Publication together:

• Partially Massless Theory in Three Dimensions and Self-dual Massive Gravity. (Link)
  With Adel Khoudeir, on Modern Physics Letters A.  2018.