Bruce  Reznick

Contact Information

Department of Mathematics
Computing Applications Building, Room 69-7
605 E Springfield Ave, Champaign, IL 61820
Professor Emeritus

Research Interests

Combinatorial methods in algebra, analysis, number theory, combinatorics, geometry.

Education

Ph.D., Stanford University, 1976

Additional Campus Affiliations

Professor Emeritus, Mathematics

Recent Publications

Blekherman, G., Kozhasov, K., & Reznick, B. (2026). On odd powers of nonnegative polynomials that are not sums of squares. Forum of Mathematics, Sigma, 14, Article e65. https://doi.org/10.1017/fms.2026.10221

Reznick, B. (2024). Equal sums of two cubes of quadratic forms. In G. E. Andrews, M. Filaseta, & A. J. Yee (Eds.), Analytic and Combinatorial Number Theory: The Legacy of Ramanujan (pp. 583-608). (Monographs in Number Theory; Vol. 12). World Scientific. https://doi.org/10.1142/9789811277375_0035

Alfassi, Y., Keren, D., & Reznick, B. (2021). The non-tightness of a convex relaxation to rotation recovery. Sensors, 21(21), Article 7358. https://doi.org/10.3390/s21217358

Matusevich, L. F., & Reznick, B. (2021). Sparse versions of the Cayley-Bacharach theorem. Portugaliae Mathematica, 78(2), 129-146. https://doi.org/10.4171/PM/2063

Powers, V., & Reznick, B. (2021). A note on mediated simplices. Journal of Pure and Applied Algebra, 225(7), Article 106608. https://doi.org/10.1016/j.jpaa.2020.106608

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