Doctoral Student in Mathematics
École Polytechnique Fédérale de Lausanne, Switzerland
School of Basic Sciences, Mathematics Section

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.

I write this wiki.

## List of Publications

**Moments of the number of points in a bounded set for number field lattices** (2023) with V. Serban and M. Viazovska. (arxiv)
**Dense packings via lifts of codes to division rings.** (2022). *IEEE Trans. Inf. Theory* with V. Serban. (arxiv) (journal)
**Lattice packings through division algebras.** (2022). *Mathematische Zeitschrift* (arxiv) (journal)
**A localized version of the basic triangle theorem.** (2019) with G. Duchamp, H.N. Minh, P. Simonnet (arxiv)

## List of talks

*Arithmetic Statistics in Automorphic Forms and Analytic Number Theory, Lausanne 2023: Random Arithmetic Lattices as Sphere Packings * (slides)
*QWorld Quantum Science Days, Online*, May 2023: Quantum Gate Synthesis and Ramanujan. (video)
*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 August 30, 2023.