2026 Vern I. Paulsen: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	45	1445	1242	50	44	177	10500

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1445

1242

177

10500

Overview

Vern I. Paulsen is affiliated with the University of Waterloo in Canada and has contributed extensively to research primarily in the fields of Mathematics, Computer Science, and Physics and Astronomy. Their scholarly output spans advanced topics in operator algebras, algebra, and quantum mechanics, among other areas.

The scientist's main fields of study include:

Mathematics
Computer Science
Physics and Astronomy

Subfields of study in which they have published work cover:

Mathematical Physics
Algebra and Number Theory
Atomic and Molecular Physics, and Optics
Artificial Intelligence
Geometry and Topology

Their research encompasses several focused topics, such as:

Advanced Operator Algebra Research
Advanced Topics in Algebra
Quantum Mechanics and Applications
Quantum Information and Cryptography
Algebraic structures and combinatorial models
Holomorphic and Operator Theory
Noncommutative and Quantum Gravity Theories

Among recent scholarly papers authored or coauthored by Vern I. Paulsen are:

"On the Mixed-Unitary Rank of Quantum Channels" (2022), published in Communications in Mathematical Physics
"Positive Maps and Entanglement in Real Hilbert Spaces" (2023), published in Annales Henri Poincaré
"Matrix range characterizations of operator system properties" (2021), published in Journal of Operator Theory
"Synchronous Values of Games" (2024), published in Annales Henri Poincaré
"Products of synchronous games" (2023), published in Studia Mathematica

Vern I. Paulsen frequently collaborates with other researchers in the field. Their notable coauthors include:

Kenneth R. Davidson
Mizanur Rahaman
Giulio Chiribella
Laura Mančinska
Ivan G. Todorov

They have published research in several academic venues, notably:

arXiv (Cornell University)
Annales Henri Poincaré
Communications in Mathematical Physics
Journal of Operator Theory
Studia Mathematica

Best Publications

Completely Bounded Maps and Operator Algebras

Vern I. Paulsen

2204
Citations
Completely bounded maps and dilations

Vern I. Paulsen

805
Citations
An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

Vern I. Paulsen;Mrinal Raghupathi

634
Citations
Optimal frames for erasures

Roderick B Holmes;Vern I Paulsen

410
Citations
Tensor products of operator spaces

David P Blecher;Vern I Paulsen

393
Citations
HILBERT C*‐MODULES: A TOOLKIT FOR OPERATOR ALGEBRAISTS (London Mathematical Society Lecture Note Series 210)

Unknown

320
Citations
Frames, graphs and erasures

Bernhard G. Bodmann;Vern I. Paulsen

220
Citations
Every Completely Polynomially Bounded Operator Is Similar to a Contraction

Vern I Paulsen

202
Citations
ON BOHR'S INEQUALITY

Vern I. Paulsen;Gelu Popescu;Dinesh Singh

179
Citations
Schur Products and Matrix Completions

Vern I Paulsen;Stephen C Power;Roger R Smith

157
Citations
Multilinear maps and tensor norms on operator systems

V.I Paulsen;R.R Smith

154
Citations
Categories of Operator Modules: Morita Equivalence and Projective Modules

David P. Blecher;Paul S. Muhly;Vern I. Paulsen

153
Citations
Tensor products of operator systems

Ali S. Kavruk;Vern I. Paulsen;Ivan G. Todorov;Mark Tomforde

123
Citations
Operator system structures on ordered spaces

Vern I. Paulsen;Ivan G. Todorov;Mark Tomforde

117
Citations
Estimating quantum chromatic numbers

Vern I. Paulsen;Simone Severini;Daniel Stahlke;Ivan G. Todorov

114
Citations
Vector Spaces with an Order Unit

Vern I. Paulsen;Mark Tomforde

107
Citations
Bohr's inequality for uniform algebras

Vern I. Paulsen;Dinesh Singh

105
Citations
Quotients, exactness, and nuclearity in the operator system category

Ali S. Kavruk;Vern I. Paulsen;Ivan G. Todorov;Mark Tomforde

104
Citations
Extensions of Bohr'S Inequality

Vern I. Paulsen;Dinesh Singh

97
Citations
Frame paths and error bounds for sigma–delta quantization☆

Bernhard G. Bodmann;Vern I. Paulsen

95
Citations
Non-closure of the Set of Quantum Correlations via Graphs

Ken Dykema;Vern I. Paulsen;Jitendra Prakash

82
Citations
Operator system quotients of matrix algebras and their tensor products

Douglas Farenick;Vern I. Paulsen

71
Citations

Frequent Co-Authors

Ken Dykema Texas A&M University

Kenneth R. Davidson University of Waterloo

David W. Kribs University of Guelph

Peter G. Casazza University of Missouri

Ronald G. Douglas Texas A&M University

Chi-Kwong Li William & Mary

Simone Severini University College London

George A. Elliott University of Toronto

Richard Cleve University of Waterloo

Andreas Winter University of Cologne

External Links

Wikipedia of Vern I. Paulsen Personal website of Vern I. Paulsen Google Scholar page

If you think any of the details on this page are incorrect, let us know.

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, numerous online degree options complement career goals in finance, business, and data analysis. Many turn to the easiest online mba programs to get into as a way to quickly gain valuable business skills without compromising their academic background.

For those interested in leadership and advanced study, exploring dba online programs can provide a pathway to doctoral credentials with flexibility and affordability, essential for working professionals.

In finance-centric roles, earning one of the cheapest online master's in finance degrees can be a strategic, budget-friendly step toward careers in investment banking, risk management, or quantitative analysis.

Additionally, pursuing the quickest online mba allows math graduates to fast-track their education while maintaining professional momentum, making it easier to pivot into high-demand roles in management and consulting.