Research Projects

Current Research

Rigorous Construction of Abelian Chern–Simons Theories

Topological Quantum Field Theory · Chern–Simons Theory · Tsinghua University

As part of my PhD research, I established a symmetric monoidal natural isomorphism between toral Chern–Simons theories and the corresponding Reshetikhin–Turaev theories. This gives an equivalence of extended (2+1)-dimensional topological quantum field theories and leads to a classification of extended Abelian Chern–Simons theories.

PhD. Advisor: Nicolai Reshetikhin

Professor, Tsinghua University · Professor Emeritus, University of California, Berkeley

Previous Research

Matrix Models and Topological String Dualities

String Theory · Matrix Models · ICTS-TIFR · 2023–2024

I studied closed-string duals of Hermitian matrix models in the conventional ’t Hooft large-(N) limit, with the goal of establishing an explicit correspondence with a mirror pair of closed topological string theories. I also studied connections between Gromov–Witten theory and the Gaussian matrix model.

Advisor:  Prof. Rajesh Gopakumar

Professor, International Centre for Theoretical Sciences, TIFR

Modular Transformations and Fusion Rules in Conformal Field Theory

Conformal Field Theory · String Theory · University of Bonn · 2019

I studied closed-string duals of Hermitian matrix models in the conventional ’t Hooft large-(N) limit, with the goal of establishing an explicit correspondence with a mirror pair of closed topological string theories. I also studied connections between Gromov–Witten theory and the Gaussian matrix model.

Advisor: Prof. Albrecht Klemm

University of Bonn

Partially Massless Gravity in Three Dimensions

Gravitation · Field Theory · University of Los Andes · 2016-2017

For my bachelor’s thesis, we studied models of partially massless gravity and self-duality in three dimensions, exploring their relation to massive gravitational theories.

Advisor: Adel Khoudeir

Center for Fundamental Physics, University of Los Andes

Publication:

Partially Massless Theory in Three Dimensions and Self-dual Massive Gravity

With Adel Khoudeir · Modern Physics Letters A, 2018

Quantum Key Distribution Protocols

Quantum Information · Quantum Cryptography · University of Waterloo · 2017

I studied optical protocols for quantum key distribution using methods from quantum information theory, with a focus on quantum-cryptographic communication scenarios.

Advisor: Prof. Norbert Lütkenhaus

Institute for Quantum Computing, University of Waterloo

Time–Frequency Methods for Bioacoustic Signal Analysis

Mathematical Physics · Signal Processing · UNAM · 2016

I investigated mathematical methods for signal processing, focusing on the Wigner–Ville distribution and its application to the analysis of bioacoustic signals.

Advisor: Kurt Bernardo Wolf

Institute of Physical Sciences, National Autonomous University of Mexico