Benjamin Passer
Contact Info at USNA
E-mail: passer@usna.edu
Office Phone: +1-410-293-6706
I am an Assistant Professor of Mathematics at the United States Naval Academy.
I finished my Ph.D. in Mathematics at Washington University in St. Louis in May 2016, and my dissertation can be found here (more up-to-date content can be found in the articles listed below). After that, I was a Zuckerman STEM Postdoctoral Fellow at Technion-Israel Institute of Technology for two years, and then I was a Department Postdoctoral Fellow at the University of Waterloo for another two years.
Research
Interests: operator algebras, operator theory, noncommutative convexity, noncommutative topology, etc.
with A. Chirvasitu. Continuity and equivariant dimension. Submitted. arXiv:2403.06767.
Complex free spectrahedra, absolute extreme points, and dilations. Doc. Math. 27 (2022), 1275-1297.
with K. R. Davidson. Strongly peaking representations and compressions of operator systems. Int. Math. Res. Not. IMRN 7 (2022), 5037-5070.
with A. Chirvasitu and M. Tobolski. Equivariant dimensions of graph C*-algebras. J. Funct. Anal. 280:6 (2021), 108912, 32 pp.
with V. I. Paulsen. Matrix range characterizations of operator system properties. J. Operator Theory 85:2 (2021), 547-568.
with O. M. Shalit. Compressions of compact tuples. Linear Algebra Appl. 564 (2019), 264-283.
with A. Chirvasitu. Invariants in noncommutative dynamics. J. Funct. Anal. 277:8 (2019), 2664-2696.
Shape, scale, and minimality of matrix ranges. Trans. Amer. Math. Soc. 372:2 (2019), 1451-1484.
Triviality of equivariant maps in crossed products and matrix algebras. Q. J. Math. 70:1 (2019), 289-303.
with J. E. Pascoe and R. Tully-Doyle. Representation of free Herglotz functions. Indiana Univ. Math. J. 68:4 (2019), 1199-1215.
with O. M. Shalit and B. Solel. Minimal and maximal matrix convex sets. J. Funct. Anal. 274:11 (2018), 3197-3253.
with A. Chirvasitu. Compact group actions on topological and noncommutative joins. Proc. Amer. Math. Soc. 146:8 (2018), 3217-3232.
Free actions on C*-algebra suspensions and joins by finite cyclic groups. Indiana Univ. Math. J. 67:1 (2018), 187-203.
Anticommutation in the presentations of theta-deformed spheres. J. Math. Anal. Appl. 445:1 (2017), 855-870.
A noncommutative Borsuk-Ulam theorem for Natsume-Olsen spheres. J. Operator Theory 75:2 (2016), 337-366.
An approximate version of the Jordan von Neumann theorem for finite-dimensional real normed spaces. Linear Multilinear Algebra 63:1 (2015), 68-77.
Teaching
United States Naval Academy:
Calculus I
Calculus II
Calculus III with Optimization
Differential Equations
Real Analysis I / II
Topology
University of Waterloo:
Algebra for Honours Mathematics
Applied Complex Analysis
Introduction to Real Analysis
Introductory Algebra for Arts and Social Science
Washington University in St. Louis:
Differential Equations
Matrix Algebra