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.

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

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

• 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 : nihar.gargava [AT] epfl.ch