Written Work
Publications
Hannah Bossi, Arjun Kudinoor, Ian Moult, Daniel Pablos, Ananya Rai, Krishna Rajagopal
We use the hybrid strong/weak coupling model of heavy ion collisions to simulate interactions between energetic sprays of particles and the quark gluon plasma (QGP) that is created after a high-energy collision between large nuclei. These sprays of particles (called jets) leave behind wakes in the QGP. We show that hadrons originating from wakes are the dominant contribution to the three-point energy correlation function in the regime where the three points are well-separated in angle, forming a roughly equilateral triangle. This equilateral region of the correlator is far from the region populated by collinear emissions in the absence of QGP (the vacuum), making this equilateral region a canvas on which jet wakes can be imaged. Our work is a key step towards the systematic use of energy correlators to image and unravel the dynamical response of a droplet of QGP to a passing jet.
Arjun Kudinoor
March 31, 2023
My senior thesis on differential geometry and gauge theory in physics. I focus on the study of the Yang--Mills equations, their self-dual solutions (instantons), and a proof of the Atiyah--Hitchin--Singer theorem of SU(2)-instantons on the 4-sphere.
Thesis Advisor: Mike Miller Eismeier, Columbia University
This thesis was awarded the John Dash Van Buren Jr. Prize in Mathematics by Columbia University for being the best undergraduate thesis submitted in 2023.
Rair MacĂŞdo, Arjun S. Kudinoor, Karen L. Livesey, Robert E. Camley
The consequences of non-uniform exchange in magnetic systems are reported. A linearly varying exchange interaction is used along a magnetic strip as a route to spatial inversion symmetry-breaking. It is found that, in addition to asymmetric modes and localization, spatially varying exchange can be used to design nonreciprocal magnetic signal excitation at frequencies that are tunable.
Research Mentor: Robert Camley, University of Colorado at Colorado Springs
Just For Fun
Theoretical Physics
October 27, 2024
A translation between the partition function of a canonical ensemble in thermal equilibrium and the partition function of an ensemble of quantum mechanical fields using a path integral formulation of quantum mechanics. An application to deriving the Hawking temperature of black holes is described.
Spring 2023 - PHYS 3500 Independent Readings in Supersymmetry and AdS/CFT
A formulation of supersymmetric quantum mechanics and the Witten index. Relations between the Atiyah-Singer index theorem for chiral operators and the Witten index for N=1 supersymmetric nonlinear sigma model are discussed.
Fall 2021 - MATH 4051 Topology
A study of Banach spaces, Hilbert spaces, and C* Algebras. The Dirac von-Neumann and Hilbert space formulations of Quantum Mechanics are described and related.
Quantum Information
Fall 2023 - PHYS 3081 Intermediate Physics Laboratory
An experimental demonstration of violating the CHSH-Bell Inequality using entangled photons. I was lucky to conduct this experiment as the 2022 Nobel Prize was awarded to Aspect, Clauser, and Zeilinger for their work on photon entanglement experiments.
Spring 2022 - PHYS 6038 Quantum Mechanics II
A lecture on the variational principle, perturbation theory, and a simple example of the variational quantum eigensolver on Qiskit.
Summer 2021 - PHYS 3084 Quantum Simulation and Computing
Formulation of a protocol to teleport an arbitrary n-qubit state using a 2n-qubit binary-inspired intermediary channel-state. The protocol was encoded on Qiskit and tested on IBM's qasm_simulator and quantum hardware.
Mathematics
Fall 2021 - MATH 4081 Differentiable Manifolds
Formulation and proof of the Fundamental Theorem of Riemannian Geometry. Includes a study of Affine connections, Riemannian connections, and Riemannian manifolds
Fall 2021 - MATH 4042 Modern Algebra
A study of quaternions, quaternion algebras, and biquaternions
Miscellaneous Obsessions
One can calculate geometric series without needing to use algebra or calculus. Instead, an understanding of game show taxes will suffice. This article demonstrates how this is the case.
An exploration of different scales of story points, and a focus on the Fibonacci scale and its connection to the golden ratio