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 is 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. I joined the USNA mathematics department in July 2020.
Interests: operator algebras, operator theory, noncommutative convexity, noncommutative topology, etc.
with E. Evert. Matrix convex sets over the Euclidean ball and polar duals of real free spectrahedra. Accepted to Linear Algebra and its Applications. arXiv:2507.20325.
with A. Chirvasitu. Continuity and equivariant dimension. Accepted to Journal of Operator Theory. arXiv:2403.06767.
with E. Evert and T. Štrekelj. Extreme points of matrix convex sets and their spanning properties. In: Alpay, D., Sabadini, I., Colombo, F. (eds) Operator Theory (2024), Springer, Basel, 33 pp.
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.
Calculus I
Calculus II
Calculus III with Optimization
Differential Equations
Real Analysis I / II
Topology
Algebra for Honours Mathematics
Applied Complex Analysis
Introduction to Real Analysis
Introductory Algebra for Arts and Social Science
Differential Equations
Matrix Algebra