Nihar Prakash Gargava

I study number theory and its connections to lattices, error-correcting codes, sphere packings, quantum computing. My PhD advisor is Prof. Maryna Viazovska and I am a part of the Chair of Number Theory.

Before this, I was a masters student at EPFL and before that, a bachelor student at IIT Kanpur.

List of Publications

• Dense packings via lifts of codes to division rings. (2022). IEEE Trans. Inf. Theory with V. Serban. (arxiv)
• Lattice packings through division algebras. (2022). Mathematische Zeitschrift (arxiv)
• A localized version of the basic triangle theorem. (2019) with G. Duchamp, H.N. Minh, P. Simonnet (arxiv)

List of talks

• École de Printemps en Géométrie et Dynamique, Lille, Mar 2023: Réseaux arithmétiques aléatoires en tant qu’empilage de sphères. (slides)
• Combinatorics and Arithmetic for Physics: Special Days, Institut des Hautes Études Scientifiques, Paris, Nov 2022: Random Lattices as Sphere Packings. (slides) (video)
• Doctoral Day of the Swiss Math Society, Fribourg, May 2022: Lattice Packings through Division Algebras.
• Workshop on Coding and Cryptography 2022, University of Rostock, March 2022: Dense packings via lifts of codes to division rings.* (slides)
• Optimal Point Configurations on Manifolds, Erwin Schrödinger International Institute, Vienna, January 2022: Lattice Packings through Division Algebras. (video) (slides)
• Maine-Quebec Number Theory Conference, October 2021: Lattice Packings through Division Algebras.* (slides)
• Point Distributions Webinar, Online, Sept 2021: Lattice Packings through Division Algebras.* (video) (slides)
• Young Researchers in Algebraic Number Theory III, Heilbronn Institute, Aug 2021: Lattice Packings through Division Algebras.* (slides)
• Algebraic geometry seminar, IIT Bombay, Nov 2020: Asymptotic Lower Bounds on Sphere Packing Efficiency of Lattices.* (video) (slides)

The * indicates online talks.

Contact : nihar.gargava [AT] epfl.ch

This page was updated on March 22, 2023.