Jonathan Schillinger | Graduate Student
Contact
Overview
I am a graduate student in the Department of Mathematics at Florida State University working under Dr. Reznikov. Our current research focuses on the equilibria and asymptotics of the energy functional using a gaussian interaction kernel. My research interests include functional analysis, operator theory, and harmonic analysis.
Research
- Asymptotics for the Gaussian Kernel over self-similar fractal sets
- Equilibrium measures and asymptotics for the Gaussian Kernel for subsets of R^d with full measure
- Second-order Term for the Riesz-s energy aymptotics over the interval
- Equilibrium measures for the hyperbolic Riesz-s energy
Teaching
- MAC 1140 - Pre-Calculus Algebra: basic analysis and applications of polynomial, rational, exponential, and logaritmic functions from a graphical and algebraic point of view, matrices, conic sections, and sequences
- MAC 2311 -Calculus with Analytic Geometry I: polynomial, trigonometric, exponential, and logarithmic functions; first and second derivatives and their interpretations; definition and interpretation of the integral; differentiation rules; implicit differentiation; applications of the derivative; anti-derivatives; fundamental theorem of calculus
- MAC 2312 - Calculus with Analytic Gemoetry II: techniques and more advanced applications of integration, convergence of infinite series, power series, and a brief look at differential equations.
- MAC 2313 - Calculus with Analytic Gemoetry III: functions of several variables and their graphical representations; vectors; partial derivatives and gradients; optimization; multiple integrations; polar, spherical, and cylindrical coordinate systems; curves; vector fields; line integrals; flux integrals; divergence theorem and Stokes' theorem
- MAP 2302 - Ordinary Differential Equations: solving and modeling with various types of first-order differential equations, second and higher-order linear differential equations, power series solutions, Laplace transforms and convolution integrals.
Publications
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TBA
Honors and Awards
- Dwight B. Goodner Mathematics Fellowship (April 2024)
- Distinguished Teaching Assistant Award (April 2024)
- 1st Place in FSU DeWitt Sumners Flash Talks Competition (April 2023)
- 1st Place in FSU DeWitt Sumners Flash Talks Competition (April 2022)
Other
Apart from my current research in mathematics my background also includes work in organic chemistry and aesthetics: