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Award ID contains: 2054002

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  1. ; ; (, Canadian Journal of Mathematics)
    Abstract We study symmetric and antisymmetric tensor products of Hilbert-space operators, focusing on norms and spectra for some well-known classes favored by function-theoretic operator theorists. We pose many open questions that should interest the field. 
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    Free, publicly-accessible full text available February 1, 2026
  2. ; ; (, Bulletin of the Australian Mathematical Society)
    Abstract We continue our study of exponent semigroups of rational matrices. Our main result is that the matricial dimension of a numerical semigroup is at most its multiplicity (the least generator), greatly improving upon the previous upper bound (the conductor). For many numerical semigroups, including all symmetric numerical semigroups, our upper bound is tight. Our construction uses combinatorially structured matrices and is parametrised by Kunz coordinates, which are central to enumerative problems in the study of numerical semigroups. 
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    Free, publicly-accessible full text available December 12, 2025
  3. ; ; (, Canadian Mathematical Bulletin)
    Abstract We improve upon the traditional error term in the truncated Perron formula for the logarithm of anL-function. All our constants are explicit. 
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  4. ; ; (, Canadian Mathematical Bulletin)
    Abstract We introduce a family of norms on the$$n \times n$$complex matrices. These norms arise from a probabilistic framework, and their construction and validation involve probability theory, partition combinatorics, and trace polynomials in noncommuting variables. As a consequence, we obtain a generalization of Hunter’s positivity theorem for the complete homogeneous symmetric polynomials. 
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  5. ; ; (, Canadian Mathematical Bulletin)
    Abstract We improve and expand in two directions the theory of norms on complex matrices induced by random vectors. We first provide a simple proof of the classification of weakly unitarily invariant norms on the Hermitian matrices. We use this to extend the main theorem in Chávez, Garcia, and Hurley (2023,Canadian Mathematical Bulletin66, 808–826) from exponent$$d\geq 2$$to$$d \geq 1$$. Our proofs are much simpler than the originals: they do not require Lewis’ framework for group invariance in convex matrix analysis. This clarification puts the entire theory on simpler foundations while extending its range of applicability. 
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  6. ; ; ; (, Communications in Algebra)
    Free, publicly-accessible full text available March 4, 2026
  7. ; ; (, The American Mathematical Monthly)
    Free, publicly-accessible full text available January 2, 2026
  8. (, Notices of the American Mathematical Society)
    Free, publicly-accessible full text available November 1, 2025
  9. ; ; ; (, Journal of Mathematical Analysis and Applications)
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  10. ; ; (, Springer Nature Switzerland)
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