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.