I started off my PhD working in particle physics and cosmology. Along the way, I got really interested in the notion of renormalization group flow in large and complex systems, and how this seemingly leads to the dynamical emergence of the dimension of scale. I find it fascinating how ideas at the heart of renormalization group flow, mixed with inputs from information theory and computational complexity, might have deep and diverse applications such as the holographic emergence of gravity from quantum mechanics, and statistical inference. These are some of the things I spend my time, thinking about.
My PhD advisor at UT Austin is Prof. Can Kilic.
Thus far, my work has touched on the following topics:
Beyond the Standard Model phenomenology
Finite temperature field theory, Electroweak phase transition, Naturalness mechanisms, Colourless top partners (Orbifold Higgs models), Asymmetric and Flavored dark matter, Leptogenesis
Spacetime from entanglement (bottom-up holography)
RG flow on many-body quantum states and emergence of space and gravity (Holography/MERA)
Computational and theoretical aspects of the Multi-scale Entanglement Renormalization Ansatz (MERA)
- Numerically simulate quantum systems at criticality by "training" a MERA
- Understand the continuum limit of MERA and applications to QFTs
I have been teaching a unique course designed at giving students with a non-technical background an exposure to science and scientific thinking. The first segment of the course (PS303, which I teach) has a nominal focus on mechanics, but draws on examples from daily life, and emphasizes inquiry, to help students see how critical analysis and quantitative thinking can help in understanding happenings and making judicious decisions.
One of my favourite class exercises focuses on an understanding of exponentials: On Github
I enjoy playing squash these days.
I write a lot (mostly for myself), and tried to blog some of that. (I haven't gotten around to publishing my recent writing, so the content there is somewhat sparse and dated)
I like to read a variety of stuff; mostly non-fiction. Goodreads profile
I spend some time participating on the Physics StackExchange website, sharing and growing my knowledge of physics.