Adam Humeniuk

Pronouns: (he/him)

ahumeniuk (at) mtroyal (dot) ca

adam.humeniuk (at) gmail (dot) com

ORCiD

Assistant Professor - Mount Royal University, 2023-

Postdoctoral Fellow - MacEwan University, 2022-2023

Term Instructor - University of Alberta, 2022

PhD - Pure Mathematics University of Waterloo, 2018-2022.

(Thesis Title: Dilation methods in semigroup dynamics and noncommutative convexity.)

MMath - Pure Mathematics: University of Waterloo, 2017-2018.

BSc. Hons. - Pure Mathematics (After Degree): University of Calgary, 2015-2017.

BSc. Hons. - Physics: University of Calgary, 2011-2015.

About Me

I am an Assistant Professor in Mathematics at Mount Royal University, in Calgary, Alberta. I completed my PhD at the University of Waterloo in July 2022. I'm originally from Calgary, Alberta.

In my free time, I am passionate about strength training, rock climbing, music, and cooking.

Research

I enjoy researching operator algebras and operator theory, and their application to dynamics and convexity. I am interested in the C*-covers and C*-envelopes of non-selfadjoint operator algebras, including those related to semigroup dynamics. I am also researching noncommutative (AKA matrix) convexity and its dual relationship to the category of operator systems.

Publications

A. Humeniuk, C. Ramsey, and I. Thompson 2025: Couniversality for C*-algebras of residually finite-dimensional operator algebras. arXiv preprint arXiv:2507.11824. arXiv
A. Humeniuk, M. Kennedy, and N. Manor, 2025: An extension property for noncommutative convex sets and duality for operator systems. Journal of Functional Analysis, 111153. DOI, arXiv
A. Humeniuk, C. Ramsey, and N. Strungaru, 2025: Diffraction of the primes and other sets of zero density. Journal of the Australian Mathematical Society, First View, 1-44. DOI, arXiv
A. Humeniuk, E. G. Katsoulis, and C. Ramsey, 2025: Crossed products and C*-covers of semi-Dirichlet operator algebras. Documenta Mathematica, 30(4), 909-933. DOI, arXiv
A. Humeniuk and C. Ramsey, 2025: The lattice of C*-covers of an operator algebra. Canadian Journal of Mathematics, First View, 1-29. DOI, arXiv
A. Humeniuk, 2023: Jensen’s inequality for separately convex noncommutative functions. International Mathematics Research Notices, 2023(2), 998-1035. DOI, arXiv
A. Humeniuk 2020: C*-envelopes of semicrossed products by lattice ordered abelian semigroups. Journal of Functional Analysis, 279(9), 108731. DOI, arXiv
M. Khazali, H. W. Lau, A. Humeniuk, and C. Simon (2016). Large energy superpositions via Rydberg dressing. Physical Review A , 94(2), 023408. DOI, arXiv

Here is a link to my PhD Thesis Dilation methods in semigroup dynamics and noncommutative convexity (2022).

Here is a link to my Master's project Existence of the C*-Envelope of an Operator System (2018), which is a tour of the different proofs of existence of the C*-envelope of an operator system.

Courses Taught

MATH2303 - Linear Algebra for Data Science, Mount Royal University, Fall 2025.
MATH 2071 - Mathematics for Data Science, Mount Royal University, Fall 2025.
MATH 2071 - Mathematics for Data Science, Mount Royal University, Winter 2025.
- Google drive link to course notes for MATH2071 (still under construction).
MATH 2200 - Calculus for Scientists II, Mount Royal University, Fall 2024.
MATH 2200 - Calculus for Scientists II, Mount Royal University, Winter 2024.
MATH 1203 - Linear Algebra for Scientists and Engineers, Mount Royal University, Winter 2024.
MATH 1200 - Calculus for Scientists I, Mount Royal University, Fall 2023.
MATH 225 - Linear Algebra II, University of Alberta, Fall 2022
MATH 135 - Algebra for Honours Mathematics, University of Waterloo, Fall 2021.

Students Supervised

Colin Charlton, Spring-Summer 2025
Patrick Pascua, Spring-Summer 2025
- Jointly supervised with Dr. Gabriel Jarry-Bolduc.
Maria Saccomani, Spring 2025.
Jaunie Williams, Spring-Summer 2025
- NSERC USRA
- Jointly supervised with Dr. Gabriel Jarry-Bolduc.
Justin Rumball, Spring-Summer 2023 (MacEwan University)
- Undergraduate summer project supported by Riipen LevelUP.
- Jointly supervised with Dr. Chris Ramsey.
- Paper: J. Rumball, 2024: Characterizing semi-Dirichlet Algebras and their Graphs. MacEwan University Student EJournal, 8(1). DOI
Orion Sehn, Fall 2022 (MacEwan University)
- MATH 498 - Advanced Independent Study in Mathematics.
- Jointly supervised with Dr. Chris Ramsey.

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