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Personal profile

Research Interests

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

Education

Ph.D., Stanford University, 1976

Office Address

Department of Mathematics
327 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801 

Office Phone

Fingerprint

Fingerprint is based on mining the text of the expert's scholarly documents to create an index of weighted terms, which defines the key subjects of each individual researcher.
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Collaborations and top research areas from the last five years

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  • On odd powers of nonnegative polynomials that are not sums of squares

    Blekherman, G., Kozhasov, K. & Reznick, B., Apr 27 2026, In: Forum of Mathematics, Sigma. 14, e65.

    Research output: Contribution to journalArticlepeer-review

    Open Access
  • Equal sums of two cubes of quadratic forms

    Reznick, B., Sep 2024, Analytic and Combinatorial Number Theory: The Legacy of Ramanujan. Andrews, G. E., Filaseta, M. & Yee, A. J. (eds.). World Scientific, p. 583-608 (Monographs in Number Theory; vol. 12).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  • A note on mediated simplices

    Powers, V. & Reznick, B., Jul 2021, In: Journal of Pure and Applied Algebra. 225, 7, 106608.

    Research output: Contribution to journalArticlepeer-review

    Open Access
  • Equal sums of two cubes of quadratic forms

    Reznick, B., Apr 2021, In: International Journal of Number Theory. 17, 3, p. 761-786 26 p.

    Research output: Contribution to journalArticlepeer-review

  • Sparse versions of the Cayley-Bacharach theorem

    Matusevich, L. F. & Reznick, B., 2021, In: Portugaliae Mathematica. 78, 2, p. 129-146 18 p.

    Research output: Contribution to journalArticlepeer-review

    Open Access