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Personal profile

Research Interests

I study model theory, a branch of mathematical logic. I am most interested in interactions between model theory, geometry, and combinatorics -- particularly those involving the so-called "Zilber trichotomy."

Office Address

371 Altgeld Hall

1409 W. Green St.

Urbana, IL 61801

Education

PhD in Mathematics, UC Berkeley, May 2021

Education/Academic qualification

Mathematics, PhD, U.C. Berkeley

Award Date: May 14 2021

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.

Collaborations and top research areas from the last five years

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  • The o-minimal Zilber conjecture in dimension greater than 2

    Castle, B., Oct 2026, In: Advances in Mathematics. 502, 111128.

    Research output: Contribution to journalArticlepeer-review

    Open Access
  • Model theory of complex numbers with polynomial functions

    Castle, B. & Tran, C. M., Nov 2025, In: Selecta Mathematica, New Series. 31, 5, 93.

    Research output: Contribution to journalArticlepeer-review

    Open Access
  • Very ampleness in strongly minimal sets

    Castle, B. & Hasson, A., 2024, In: Model Theory. 3, 2, p. 213-258 46 p.

    Research output: Contribution to journalArticlepeer-review

  • Zilber’s restricted trichotomy in characteristic zero

    Castle, B., 2024, In: Journal of the American Mathematical Society. 37, 4, p. 1041-1120 80 p.

    Research output: Contribution to journalArticlepeer-review