I am a mathematician living in Strasbourg. I am part of Prof. Nalini Anantharaman’s InSpeGMos project.

I study number theory and its connections to lattices, hyperbolic
surfaces, error-correcting codes, sphere packings, quantum computing. I
finished my PhD in 2023 supervised by
Prof. Maryna
Viazovska.

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

**Effective module lattices and their shortest vectors**(2024) with V. Serban, M. Viazovska and I. Viglino. (arxiv)**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)

**Mean value theorems for collections of lattices with a
prescribed group of symmetries** (2023) (link)

*Ergodic theory and dynamical systems seminar, Zurich*, October 2023: Random Arithmetic Lattices as Sphere Packings (slides)*Seminar on Nonlinear Algebra, Leipzig*, September 2023: Random Arithmetic Lattices as Sphere Packings (slides)*Colloquium Mathématique, Strasbourg*, September 2023: Random Arithmetic Lattices as Sphere Packings (slides)*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 : `gargava [AT] unistra.fr`

This page was updated on February 20, 2024.