Nihar Prakash Gargava

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.

Organization

With Ilaria Viglino, I co-organized the Combinatorial Geometry and Number Theory Conference, Lausanne 2024. Find all information here.

List of Publications

• Mean value for random ideal lattices (2024) with M. Viazovska. (arxiv)
• 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)

Doctoral thesis

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

List of talks

• Analysis Seminar, IRMA, Strasbourg, September 2024: Density of Shapes of Flat Tori in Rank 2

• PhD Seminar, Centrum Wiskunde & Informatica, Amsterdam, September 2024: Random Arithmetic Lattices

• Diagonal actions in the space of lattices, Paris, March 2024: Random Arithmetic Lattices as Sphere Packings

• 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, Jun 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 November 25, 2024.