Publications:

"The volume polynomial of lattice polygons" (with J. Soprunova) arxiv.org/abs/2401.06111

"The poset of binary CSS-T quantum codes and cyclic codes" (with E. Camps, H. López, G. Matthews, D. Ruano, and R. San-José) arxiv.org/abs/2312.17518

"Relative hulls and quantum codes" (with S. Anderson, E. Camps, H. López, G. Matthews, and D. Ruano) IEEE Transactions of Information Theory, to appear

"Plücker-type inequalities for mixed areas and intersection numbers of curve arrangements" (with G. Averkov) International Math Research Notices, vol 2023, issue 18, 16015-16050 (2023)

"F_q-zeros of sparse trivariate polynomials and toric 3-fold codes" (with K. Meyer and J. Soprunova) SIAM Journal on Applied Algebra and Geometry, vol. 6, iss. 3 (2022)  

"Coding theory package for Macaulay2" (with T. Ball, E. Camps-Moreno, H. Chimal-Dzul, D. Jaramillo-Velez, H. López, N. Nichols, M. Perkins, G. Vera-Martínez, G. Whieldon) Journal of Software for Algebra and Geometry vol 11 117-122 (2021)

"The dual of an evaluation code" (with H. Lopez and R. Villarreal) Designs, Codes and Cryptography 89(7), 1367-1403 (2021)

"Classification of triples of lattice polytopes with a given mixed volume" (with G. Averkov and C. Borger) Discrete and Computational Geometry 66, pp. 165-202 (2021)

"Inequalities between mixed volumes of convex bodies: volume bounds for the Minkowski sum" (with G. Averkov and C. Borger) Mathematika 66 pp. 1003-1027 (2020)

"Monomial-Cartesian codes and their duals, with applications to LCD codes, quantum codes, and locally recoverable codes" (with H. Lopez and G. Matthews), Designs, Codes and Cryptography 88, pp. 1673-1685 (2020)

"Wulff shapes and a characterization of simplices via a Bezout type inequality" (with C. Saroglou and A. Zvavitch), Advances in Mathematics 357 106789 (2019)

"Criteria for strict monotonicity of the mixed volume of convex polytopes" (with F. Bihan), Advances in Geometry 19 (4), pp. 527-540, (2019)

"Generalized multiplicities of edge ideals" (with A. Alilooee and J. Validashti) Journal of Algebraic Combinatorics 47, issue 3, pp. 441-472 (2018)

"Characterization of simplices via the Bezout inequality for mixed volumes" (with C. Saroglou and A. Zvavitch) Proc. Amer. Math. Soc., 144, no. 12, pp. 5333-5340 (2016)

"Bezout Inequality for Mixed Volumes" (with A. Zvavitch) International Math Research Notices, 2016 (23) pp. 7230-7252 (2016)

"Eventual quasi-linearity of the Minkowski length" (with J. Soprunova), European Journal of Combinatorics 58, pp. 107-117 (2016)

"Multigraded Hilbert function and toric complete intersection codes" (with M. Sahin) Journal of Algebra 459, pp. 446-467 (2016)

"Lattice polytopes in coding theory" J. Algebra Combinatorics Discrete Structures and Appl. vol 2, no 2, pp. 11-20 (2015)

"Tropical determinant on transportation polytopes" (with S. Gajula and J. Soprunova) Linear Algebra Appl. 475, pp. 28-44 (2015)

"On dual toric complete intersection codes" (with P. Celebi Demirarslan) Finite Fields Appl. 33, pp. 118-136 (2015)

"Toric complete intersection codes", Journal of Symbolic Computation 50, pp. 374-385 (2013)

"Bringing toric codes to the next dimension" (with J. Soprunova) SIAM J. Discrete Math. Vol. 24, no. 2, pp. 655-665 (2010)

"Toric Surface Codes and Minkowski Length of Polygons" (with J. Soprunova) SIAM J. Discrete Math. Volume 23, no. 1,  pp. 384-400 (2009)

"Let me tell you my favorite lattice point problem..." (with M. Beck, B. Nill, B. Reznick, C. Savage, Z. Xu) in Integer points in polyhedra, Contemp. Math.  Vol. 452, AMS (2008)

"Global residues for sparse polynomial systems" Journal of Pure and Applied Algebra Vol. 209, no. 2, pp. 383-392 (2007)

"Combinatorial construction of toric residues" (with A. Khetan) Ann. Inst. Fourier (Grenoble) Vol. 55, no. 2, pp. 511-548 (2005)

"Toric residue and combinatorial degree" Trans. Amer. Math. Soc. Vol. 357, no. 5, pp. 1963-1975 (2005)

"Residues and tame symbols on toroidal varieties" Compositio Math. Vol. 140 no. 6, pp. 1593-1613 (2004)

"On combinatorial coefficients and the Gelfond-Khovanskii residue formula" in Topics in Algebraic Geometry and Geometric Modeling, pp. 343-349, Contemp. Math. Vol. 334, AMS (2003)

"A short proof of the Prime Number Theorem for arithmetic progressions" (1998) https://academic.csuohio.edu/soprunov-ivan/wp-content/uploads/sites/93/2023/02/primes.pdf

"Patching theorem in quadratic Serre's conjecture" Fundamental and Applied Mathematics (in Russian) Vol 3, no. 1, pp. 255-261 (1997)