Vignon’s blog

Vignon’s Blog

Teaching, Service, Research, and Creative Work (2023–2027)

A structured academic organizer for teaching, service, research, conferences, creative work, and selected links.

Each term card is collapsible; open the sections you need and leave the rest folded.

Scholarly profiles: ResearchGate research · ORCID · Publication page

Spring 2027Details

Teaching

Course Days Time
MATH 261 001 TR 11:00 AM – 12:15 PM
MATH 261 001 M 11:15 AM – 12:05 PM
MATH 401 001 TR 2:00 PM – 3:15 PM
MATH 596 X01 T 4:45 PM – 6:00 PM
Fall 2026Details

Teaching

Course Days Time
MATH 199 Q02 TR 9:30 AM – 10:45 AM
MATH 698 001 TR 11:00 AM – 12:15 PM
MATH 325 001 TR 12:30 PM – 1:45 PM

Service

Activities
Math Seminars and Math/Stat Chats
CARS Advisory Board
Curriculum mapping with Uma Shama: COMPASS

Research

Items
TBA

Summer 2026Details

Teaching

Course Format Dates Course Link
MATH 142-CO1 — Elements of Calculus II Independent study July 20–August 14, 2026 Virtual syllabus

Conferences

Event Contribution Dates Location Links / Notes
17th ICME (International Conference on Multidisciplinary Education) Paper presentation: “Leveraging LLMs to Enrich Mathematics Teaching:Interactive Tools, Enhanced Content, and Improved Student Learning” June 12–14, 2026 MGM University, Aurangabad, Maharashtra, India Conference website
Presentation page
IWOTA (International Workshop on Operator Theory and its Applications) Invited talk, Special Session: Dynamical sampling
Title: “Continuous-time dynamical sampling via full-spark orbit frames” Based on joint work with Sophia Maniscalco
August 3–7, 2026 Université Laval, Québec City, Canada IWOTA 2026 (Special sessions page: Dynamical sampling)
Session organizers: Roza Aceska, Akram Aldroubi, Alex Powell
Quebec presentation app
Paper PDF

Summer 2026 Scholarly Works

Date Research contribution Type / focus Public link
July 2026 The Four-Point HRT Conjecture in the Critical Rational-Rank-Three Case Preprint on the critical rational-rank-three four-point configuration. Latest ResearchGate research
July 2026 A conull compact section for an exceptional diagonal dilation group Preprint on an exceptional diagonal dilation action. Latest ResearchGate research
June 2026 The critical mixed-arithmetic case of the four-point HRT conjecture Preprint treating the critical covolume, rational-rank-two mixed-arithmetic case using Zak-transform and holonomy methods. ResearchGate record and full text
June 23, 2026 HRT Conjecture: the Schwartz-critical case Research blog entry and Lean-certified exposition on finite lattice configurations with one off-lattice point. Open the research blog entry

For the complete and most current publication list, visit Vignon Oussa’s ResearchGate research page.

Creative Work

Date Creative production Type / focus Public link
July 2026 How to Make an Authentic Song with Suno Creative musical production documenting the development of an original desk rhythm into a fuller arrangement, followed by live overdubs and mixing in Audacity. Open the creative music project

Spring 2026Details

Teaching

Course Schedule / Notes
MATH 261 – Multivariable Calculus DMF 242, MW 1:50 PM – 3:05 PM, 1/21/26 – 5/12/26
LIB 007, T, 12:30 PM – 1:20 PM, 1/21/26 – 5/12/26
MATH 596 – Topics: Algebra for Teaching(Graduate) Hybrid, DMF 440 + WEB, M, 4:45 PM – 6:00 PM, 1/21/26 – 5/12/26

Office Hours

Slot Day Time Format
Office Hours A, cross-day access Tuesday 1:30–2:30 PM In-person
Office Hours B, accessibility / commuters Thursday 10:00–10:45 AM Microsoft Teams, link shared with enrolled students

For privacy, the Microsoft Teams link is shared with enrolled students via the course site or email.

Service

Activity Link
Math Seminars and Math/Stat Chats Math Seminars and Math/Stat Chats

Spring 2026 Scholarly Works

Date Scholarly work Type / focus Public link
April 2026 Lean-Certified HRT Results for Finite Lattice Sets and One Off-Lattice Point Preprint with Lean certification. arXiv:2604.21228
April 2026 Two Open Problems on Orbit Frames for Lie Groups Preprint on translate frames and solvable Lie-group orbit frames. ResearchGate record
April 2026 Lean Certification for the Infinite Non-Dense One-Rogue Mixed-Integer HRT Case Preprint with a Lean appendix. ResearchGate record and full text
March 2026 A conditional HRT criterion from compact recurrence Conditional HRT obstruction from compact recurrence. ResearchGate record and full text

Conferences

Talk Venue Date(s) Links / Notes
Talk 1 Tufts Analysis Seminar Tufts University 19 Feb 2026 Invited talk page A Trichotomy Approach to the HRT Conjecture
Talk 2 Heilfest University of Maryland (UMD) 27 Feb – 1 Mar 2026 Conference page
Talk 3 AMS Spring Eastern Sectional Meeting Boston, MA 28–29 Mar 2026 Meeting / talk page Special Session: “Recent Developments in Harmonic Analysis and Frame Theory”
Talk title: “Frames generated by solvable actions”
Talk 4 ICCHA 2026 / Shanks Lecture Vanderbilt University 18–22 May 2026 ICCHA 2026
Talk title: “Frames generated by solvable actions
Conference group photo

Additional Links

Link / Status
ResearchGate profile
Presentations
Article review
Advising
Archives
Publication
Painting Portfolio
Interterm Activities (2025–2026)Details
Activity Link
Mathematical Thoughts Mathematical Thoughts
Fall 2025Details

Teaching

Course / Activity Schedule / Notes
Understanding AI Part 2 Zoom; Mon 9/15, 9/22, 9/29, 10/6, 10/20, 10/27; 4:00–5:20 PM
MATH 621 — Real Analysis I Tue/Thu 11:00 AM–12:15 PM, in person
MATH 416 — Applied Mathematics Tue/Thu 2:00–3:15 PM, in person
Office Hours Mon 1:00–2:00 PM, in person; Tue 3:30–4:30 PM, in person; by appointment

Service

Category Details / Links
Service BCoSM Collective Talk Series
Grant work — Curriculum Mapping and Analytics, with Dr. Uma Shama
Math Seminars and Math/Stat Chats

Fall 2025 Scholarly Works

Date Scholarly work Type Public link
December 2025 Translation–Modulation Identities, Ergodic Log-Products and a Conditional Obstruction for Schwartz Functions Preprint ResearchGate record and full text
December 2025 Riesz Bases of Translates on Lie Groups Preprint ResearchGate record and full text

Ongoing Research Activity

Category Details / Links
Research HRT Conjecture (Heil–Ramanathan–Topiwala): ongoing work on the linear independence of finite time–frequency shiftsand generalizations to nilpotent Lie group actions.Opportunities for undergraduate research:
HRT Course-paired Micro-projects — Faculty Page(BSU, Fall 2025)

Conferences

Event Details / Links
Conferences Invited talk – Special Session “Harmonic analysis, frame theory, and tilings” AMS Sectional Meeting, Saint Louis University, 18–19 Oct 2025
Organizers: Darrin Speegle, Marcin Bownik, Dan Freeman, Dorsa Ghoreishi

Additional Links

Category Link / Status
Presentations Presentations
Article review Article review
Advising Advising
Archives Archives
Publication Publication
Painting Portfolio Painting PortfolioFlame of Meaning— Acrylic on canvas (2025)
Summer 2025Details
Category Content / Link
Daily organizer Daily organizer
Courses
Research and other activities Research and other activities
Presentations Presentations
Archives Archives
Publication Publication
Painting Portfolio Painting Portfolio

Summer 2025 Scholarly Works

Date Scholarly work Type Public link
August 2025 Translates in Step-Two SI/Z Nilpotent Groups Preprint; HRT-type result for an (m,1) configuration. arXiv:2508.18529
July 2025 Trichotomy for the HRT Conjecture for Mixed Integer Configuration Preprint arXiv:2508.04613
June 2025 Letter to the Editor: On a Special Configuration for the HRT Conjecture (with Kasso Okoudjou) Peer-reviewed article, Journal of Fourier Analysis and Applications 31(4). Publisher record / DOI
Spring 2025Details
Category Content / Link
Daily organizer Daily organizer
Schedule
Course search Course search
Teaching MATH 162 – Calculus II
MATH 596 – Real Analysis for Educators
Senior College: Understanding Artificial Intelligence
Service Service
Research ResearchGate profile
Presentations Presentations
Article review Article review
Advising Advising
Archives Archives
Publication Publication
Painting Portfolio Painting Portfolio

Spring 2025 Scholarly Work

Date Scholarly work Type Public link
March 7, 2025 A Bridge Between Lie Theory and Frame Theory: Applications of Lie Theory to Harmonic Analysis Research monograph, Wiley. Wiley book page and DOI
Fall 2024Details
Category Content / Link
Daily organizer Daily organizer
Schedule
Course search Course search
Teaching Real Analysis I: MW 1:50 – 3:05
MATH 621 001
Service Service
Research ResearchGate profile
Presentations Presentations
Article review Article review
Advising Advising
Archives Archives
Publication Publication
Painting Portfolio Painting Portfolio
Summer 2024Details
Category Content / Link
Daily organizer Daily organizer
ATP ATP
Courses MATH 141
MATH 261
MATH 325
Research and other activities Research and other activities
Presentations Presentations
Archives Archives
Publication Publication
Painting Portfolio Painting Portfolio

Summer 2024 Scholarly Works

Date Scholarly work Type / focus Public link
June 2024 Elementary Algorithms for Lie Algebras in Mathematica with Synthetic Data Computational research preprint and synthetic-data project. ResearchGate record and full text
June 2024 Mathematica Computations for Abelian Linear Actions Computational research preprint and synthetic-data project. ResearchGate record and full text
Spring 2024Details
Category Content / Link
Final Exams Final Exams
Schedule Schedule
Course search Course search
Teaching Multivariable Calculus: MATH 261
Mathematical Foundations of AI: MATH 399
Real Analysis: MATH 401
Service Service
Research ResearchGate profile
Presentations Presentations
Article review Article review
Advising Advising
Archives Archives
Publication Publication
Painting Portfolio Painting Portfolio

Spring 2024 Scholarly Work

Date Scholarly work Type Public link
January 2024 The HRT Conjecture for a Special Configuration (with Kasso Okoudjou) Revised preprint on special HRT configurations. arXiv:2110.04053
Interterm Activities (2023–2024)Details
Activity Link
WAC Winter Institute WAC Winter Institute
Autumn 2023Details
Category Content / Link
Final Exams Final Exams
Academic calendar Academic calendar
Service Service
Teaching / Courses MATH 199 – Math for Social Dynamics
MATH 596 – Mathematica for Real Analysis
Research ResearchGate profile
Presentations Presentations
Advising Advising
Archives Archives
Publication Publication
Painting Portfolio Painting Portfolio

2023 Scholarly Works (May–August)

Date Scholarly work Type Public link
August 2023 Phase Retrieval for Affine Groups over Prime Fields (with David Bartusel and Hartmut Führ) Peer-reviewed article, Linear Algebra and its Applications. Publisher record / DOI
July 27, 2023 Phase Retrieval for Nilpotent Groups (with Hartmut Führ) Peer-reviewed open-access article, Journal of Fourier Analysis and Applications 29:47. Publisher record / DOI
May 2023 Computing a Lie Algebra from a Generating Set I Computational Lie-algebra preprint. ResearchGate record and full text
May 2023 Linear Independence of Finite Time-Frequency Shifts in Terms of Decay of the Short-Time Fourier Transform HRT-related preprint. ResearchGate record and full text
May 2023 Zero Set of Zak Transform and the HRT Conjecture Preprint. arXiv:2305.12299