I am greatly interested in bringing together ideas from probabilistic inference and quantum/statistical physics. On the one hand, this should help create better algorithms for perception and decision making, which can be used to build autonomous agents agents that understand the physical world and interact with it more robustly. On the other hand, I believe that tools from probabilistic inference will help better understand emergent phenomena in many-body physics, such as holographic quantum gravity. I would love chat about my research or related topics; feel free to get in touch, if you're interested and have thoughts to share.
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 complex systems with many degrees of freedom, and how this seemingly leads to the dynamical emergence of an extra dimension corresponding to hierarchical organization. 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 statistical inference, and the holographic emergence of gravity from quantum mechanics!
Thus far, my work has touched on the following topics:
Particle physics phenomenology, beyond the Standard Model
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 conveying an understanding of exponentials.
I enjoy swimming and 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 have spend quite some time participating on the Physics StackExchange website, writing expository answers, sharing and growing my knowledge.