Education
- MS in Math: Emporia State University (2017)
- Thesis: Wavelet-Based Acoustic Classification of Bird Species
- MA in Math: The University of Kansas (2019)
- PhD in Math: The University of Kansas (2023)
- Dissertation: Extremizers to the Strichartz Inequality in Dimension 1
Research Interests
My research primarily exists in an area known as harmonic/Fourier analysis. In general, I consider solutions to differential equations (specifically, the Schrödinger and Schrödinger type equations), and look at a particular bound to the solution. I consider the "largest" solution that obeys this bound. ("Largest" in this context means the bound we have an equality for this solution instead of an inequality.) I try to find the properties (measurable, continuous, differentiable, etc) that the initial conditions to these solutions must have, and by extension what properties the solution must have.
Publications
- (Pre-print) (Di, Boning & Frier, Ryan) Extremizers for the Stichartz Inequality for a Fourth-Order Schrödinger Equation
- (2023) (Frier, Ryan) Extremizers to the Strichartz Inequality in Dimension 1 (Doctoral Dissertation, University of Kansas)
- (2022) (Frier, Ryan and Shao, Shuanglin) A Remark on the Strichartz Inequality in One Dimension
- (2021) (Yang, Song; Frier, Ryan; and Shi, Qiang) Acoustic Classification of Bird Species Using Wavelets and Learning Algorithms
- (2017) (Frier, Ryan) Wavelet-Based Acoustic Classification of Bird Species (Masters' Thesis, Emporia State University)
Courses
2025 Summer
| Course Number | Course Title |
|---|---|
| MAT 275 | Modern Differential Equations |
2025 Spring
| Course Number | Course Title |
|---|---|
| MAT 266 | Calculus for Engineers II |
| MAT 251 | Calculus for Life Sciences |
| MAT 266 | Calculus for Engineers II |
| MAT 210 | Brief Calculus |
2024 Fall
| Course Number | Course Title |
|---|---|
| MAT 267 | Calculus for Engineers III |
| MAT 243 | Discrete Math Structures |
| MAT 267 | Calculus for Engineers III |
| MAT 243 | Discrete Math Structures |
| MAT 267 | Calculus for Engineers III |
| MAT 266 | Calculus for Engineers II |
2024 Summer
| Course Number | Course Title |
|---|---|
| MAT 267 | Calculus for Engineers III |
| MAT 211 | Math for Business Analysis |
2024 Spring
| Course Number | Course Title |
|---|---|
| MAT 267 | Calculus for Engineers III |
| MAT 211 | Math for Business Analysis |
| MAT 243 | Discrete Math Structures |
| MAT 243 | Discrete Math Structures |
2023 Fall
| Course Number | Course Title |
|---|---|
| MAT 251 | Calculus for Life Sciences |
| MAT 251 | Calculus for Life Sciences |
| MAT 265 | Calculus for Engineers I |
| MAT 266 | Calculus for Engineers II |
| MAT 170 | Precalculus |