R2
Ongoing work
Phase Diagram of QDA for High-Dimensional Gaussian Mixtures
Asymptotic analysis of classification regimes under sparse, weak signals and high-dimensional covariance structure.
Arman
Jahangiri
University of Washington · Seattle
01 / About
Arman is a PhD student in the Department of Mathematics at the University of Washington. Their interests center on statistical data analysis, synthetic statistical inference, and high-dimensional probability and statistics.
Arman received a B.Sc. in Mathematics, and an M.Sc. in Statistics supervised by Dr. Jingjing Wu at the University of Calgary, focusing on binary classification of high-dimensional data using Quadratic Discriminant Analysis.
Arman is interested in university teaching and education, with a focus on student learning and engagement, inclusive teaching practices, curriculum and course design, and the development of effective learning environments.
02 / Research
Research interensts: statistical data analysis, statistical inference with synthetic datasets, high-dimensional probability and statistics.
R3
Expository research
Topics in High-Dimensional Probability
Functional inequalities, concentration of measure, geometry, and probabilistic structure in high dimensions.
Read the manuscript ↗R4
MSc thesis
Binary Classification of High-Dimensional Data Using QDA
Theoretical phase diagrams for successful and impossible classification under progressively richer Gaussian mixture models.
University of Calgary PRISM ↗
03 / Selected Projects
Selected applied and expository work.
Compact snapshots of research, talks, and statistical projects.
High-Dimensional Binary Classification with Rare and Weak Signals
Contributed talk at the Ottawa Mathematics and Statistics Conference and second-place Three-Minute Thesis presentation.
Shapiro–Wilk Test and Extensions
Theory, implementation, benchmark reproduction, and comparison with alternative normality tests.
Profile Likelihood for Varying-Coefficient Partially Linear Models
Contributed talk at the University of Saskatchewan Data Science Boot Camp.
04 / Teaching
Arman's teaching emphasizes conceptual understanding, inclusive and active participation, formative assessment, intentional course design, and helping students develop confidence, and independence.
Instructor of Record · Summer 2026
MATH/STAT 394: Probability I
Arman designed and delivered a probability course in Summer 2026 at the University of Washington. Lecture notes and recordings, assignments, assessments, review materials, are available on the course website.
Visit course website
University of Washington
- MATH/STAT 394 · Probability IInstructor of Record · Summer 2026
- MATH 111 · Algebra with ApplicationsTeaching Assistant · Spring 2026
- MATH 125 · Calculus IITeaching Assistant · Winter 2026 & Winter 2025
- MATH 120 · PrecalculusTeaching Assistant · Autumn 2025
- MATH 407 · Linear OptimizationTeaching Assistant · Summer 2025
- MATH 126 · Calculus IIITeaching Assistant · Spring 2025
- MATH 124 · Calculus ITeaching Assistant · Autumn 2024
University of Calgary
- DATA 606 · Statistical Methods in Data ScienceTeaching Assistant · Spring 2024
- DATA 602 · Statistical Data AnalysisTeaching Assistant · Autumn 2023 & 2024
- STAT 217 · Introduction to Statistics IITeaching Assistant · Winter 2024
- STAT 205 · Introduction to Statistical InquiryTeaching Assistant · Winter 2024
- STAT 213 · Introduction to Statistics ITeaching Assistant · Autumn 2023
- STAT 323 · Introduction to Theoretical StatisticsTeaching Assistant · Summer 2023
- MATH 211 · Linear Methods ITeaching Assistant · Winter 2023
- MATH 265 · University Calculus ITeaching Assistant · Winter 2023
University teaching feedback
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Observers and mentors
“Arman appeared confident and experienced at the board.”— Clare Minnerath · MATH 124 observation
“Students were engaged and working diligently.”— Dr. Andrew Loveless · MATH 125 observation
“You are building a solid classroom presence.”— Dr. Andrew Loveless · MATH 125 observation
“Effective and carefully prepared.”— Dr. Natalie Naehrig · MATH/STAT 394 observation
“Calm, well paced, and well matched to the course level.”— Dr. Natalie Naehrig · MATH/STAT 394 observation
“I am confident that Arman would be a dedicated teacher who could utilize effective teaching strategies in any classroom setting, regardless of size.”— Dr. Charles Camacho
University student feedback
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Selected student comments
“The course website was very well made and organized and all the materials prepared for exam prep were very useful.”— Student · MATH/STAT 394 Probability I
“I liked that Arman made visualizations of some of the concepts we were learning. Seeing a visual representation of the concepts helped a lot with my understanding.”— Student · MATH/STAT 394 Probability I
“The examples, practice problems, and clear explanations contributed the most to my learning.”— Student · MATH/STAT 394 Probability I
“Arman’s advanced understanding of mathematics gave a broader point of view towards the material comparatively to the curriculum itself.”— Student · MATH 120 Precalculus
“When Arman went over the test prep, I understood the material better.”— Student · MATH 120 Precalculus
“The problem walk-throughs were very helpful in my learning.”— Student · MATH 125 Calculus II
“The board explanations were really useful; learning the same thing in a different way helps to understand it better.”— Student · MATH 125 Calculus II
“Time spent going over problems was useful and clear.”— Student · MATH 126 Calculus III
Certificate and teaching badges
Arman has taught and tutored mathematics and statistics through private and small-group instruction since 2018.
K–12 & tutoring feedback
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Selected reviews
“Arman was super knowledgeable, patient, always paused to confirm I was following and did not talk down to me. They’re an excellent teacher.”— Cassandra · Mathematics student
“Arman is a really good tutor! They’re patient, extremely knowledgeable and can explain concepts in a clear and understandable way.”— Andrea · Statistics student
“Great lessons, easy to learn and understand. Highly recommend Arman.”— Dave · Mathematics student
“Arman’s thorough knowledge of the subject matter as well as their ability to provide invaluable insight into math methodology has enabled my son to apply Arman’s valuable instruction.”— Erik · Parent
“Arman is a great tutor. Very intelligent. They have been helping me prepare for my university classes, and are patient and explain solutions well.”— Steven · Mathematics student
05 / Teaching Dossier
Evidence, reflection, and course design.
The dossier brings together Arman’s teaching philosophy, instructional practices, course design, student evaluations, supervisory observations, professional development, and selected teaching artifacts.
06 / Service & Recognition
Academic community and leadership.
Selected leadership, mentoring, outreach, and academic-community work.
2024
President, Graduate University Mathematics & Statistics Society (GUMS)
University of Calgary · student advocacy, inclusive academic-community building, executive leadership, departmental coordination, and collaborative event organization.
Lecturer, Math Circle
Led mathematics enrichment sessions for high-school students, including topics such as number bases and combinatorics.
International Student Mentor
Supported incoming international students with academic transition, community connection, and cross-cultural adjustment.
Certificate ↗Junior High Math Contest Committee
Alberta Teachers’ Association · evaluated and ranked student submissions collaboratively with educators.
Volunteer Engagement Coordinator
Calgary Pride · volunteer recruitment, scheduling, training coordination, and event logistics.
Selected awards
2024
Faculty of Graduate Studies' Graduate Award Competition Scholarship · University of Calgary
2024
Three-Minute Thesis Competition — Second Place · University of Ottawa
2023
International Graduate Tuition Award · University of Calgary
2022
McFarlane Endowed Scholarship · University of Washington