Preprints
(with Alain Couvreur), Maximal quadrics over finite fields and minimal codewords of projective Reed-Muller codes [arXiv]
(with Şeyma Bodur, Stefano Lia, Hiram H. López, Alberto Ravagnani, Lisa Seccia), The Random Variables of the DNA Coverage Depth Problem [arXiv]
(with Sudhir R. Ghorpade, Trygve Johnsen and Rakhi Pratihar) Higher weight spectra and Betti numbers of Reed-Muller codes RM_q(2,2). [arXiv]
Publications
Projective Nullstellensatz for not necessarily algebraically closed fields, Journal of Algebra and Its Applications, Vol. 24, Nos. 13 & 14 (2025) 2541020 (18 pages). [Published version] [arXiv]
(with Sudhir R. Ghorpade) On the minimum distance, minimum weight codewords, and the dimension of projective Reed-Muller codes, Advances in Mathematics and Communications, Vol. 18, No. 2 (2024), pp. 360-382. [Published version] [arXiv] [Afternotes]
(with Sudhir R. Ghorpade) On the purity of resolutions of Stanley-Reisner rings associated to Reed-Muller codes, in: Algebra and Related Topics with Applications (Aligarh, India, December 2019), M. Ashraf, A. Ali and V. De Filippis Eds., Springer Proceedings in Mathematics & Statistics. Vol. 392, Springer, Singapore, 2022, pp. 325-335. [Published version] [arXiv]