I enjoy giving talks: explaining my work sharpens my own clarity about it, and the way I structure a talk feeds directly into how I scaffold ideas when I teach.
Upcoming Talk
XULA M@X Seminar
Date: October 22, 2026
Time: 12:15- 1 PM Central Time
location: TBD
Recording may be available
Titile: Does a Solution Exist? A Look at a Boundary Value Problem
Abstract: Many problems in science lead to a differential equation that we cannot solve with a formula. A natural question is then simpler but still deep. Does a solution exist at all? In this talk we study one such problem, an equation on a region whose behavior is shaped by what happens on its boundary. The main idea is to find one function that stays below a solution and one that stays above, and then to build the solution step by step from them. Each step improves the approximation, and the process settles down to an answer. We will see how ideas from calculus and from the study of functions come together to make this work. The talk assumes only calculus and a curiosity about how different parts of mathematics connect.
Colloquia/Seminars
Since 2024, I have given invited colloquium and seminar talks at SIU Carbondale, Xavier University Louisiana, Central Michigan University, the Illinois Institute of Technology, Missouri State University, Iowa State University, Northern Illinois University, Wayne State University, Appalachian State University, Marshall University, Kenyon College, the University of Tennessee at Knoxville, and the University of Tennessee at Martin Research Series.
Recording of some recent talks
Slide Deck of some recent talks
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Central Michigan University — Mathematics Colloquium and TAG Seminar
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Missouri State University — Mathematics Colloquium
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Illinois Institute of Technology — PDE Seminar
Conference Presentations
Recurring Major Meetings in USA
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Joint Mathematics Meetings (JMM) — 2023, 2024, 2026 (three talks in 2026)
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AMS Sectional Meetings — Fall Southeastern Sectional (2022)*; Spring Central & Spring Southeastern (2024); Spring Central (2025); Fall Central (two talks) & Fall Western (2025)
International Meetings
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14th AIMS Conference on Dynamical Systems & Differential Equations, Abu Dhabi (2024) — two talks
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13th AIMS Conference on Dynamical Systems & Differential Equations (2023) — two talks
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ICDEA (International Conference on Difference Equations and Applications), China (2025)
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15th AIMS Conference, Athens (2026) (invited; declined, travel restrictions)
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ICDEA SS3_Recent advances in time scales calculus, Milan (2026)
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AMNS-2026, Applications of Mathematics to Nonlinear Sciences (invited; declined, travel restrictions)
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Approximation Theory and Special Functions Conference, Ankara, Turkey (2–5 Sept 2026) (invited; declined, travel restrictions)
*Contributed
Few Recordings
Teaching/Mentoring Talks
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"Homework–Video–Reflection System for Calculus I and Differential Equations," AI-Resistant Assignments Session, MAA Southeastern Section Meeting (2026) — [event page] · [slides]
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Existence Result for Singular Second Order Dynamic Equations with Mixed Boundary Conditions," Early Career Research Initiatives from Project NExT Blue '24, MAA MathFest (2025) — [session page]
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"Undergraduate Research: Recruitment, Retention, Mentoring — Perspectives from an Entry-Level Faculty Member," MAA Southeastern Section Meeting (2025) — [slides]
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"Mentoring in Practice: Lessons from Undergraduate Research," MAA MathFest (2026) — [event page]· [slides]
