Michael McNulty

Mathematisches Institut
Universität zu Köln
Weyertal 86-90
50931 Köln

Office: 0.03

Email: mmcnulty (at) uni-koeln.de

I am a Postdoctoral Researcher at the Department of Mathematics at the University of Cologne working under the mentorship of Jonas Lührmann. Prior to this, I was a Visiting Assistant Professor at the Department of Mathematics at Michigan State University where I worked under the mentorship of Willie Wong. I received my PhD in mathematics from the University of California, Riverside under the supervision of Po-Ning Chen and Birgit Schörkhuber (University of Innsbruck).

My research concerns partial differential equations. I am particularly interested in the dynamics of nonlinear, evolutionary equations from dispersive and hyperbolic models in mathematical physics.

Publications

Integrated local energy decay for waves with time-dependent damping with P. Kleinhenz. 2025.
Singularity formation for the higher dimensional Skyrme model Calc. Var. and PDE. Vol. 64, No. 278, 2025.
Singularity formation for the higher dimensional Skyrme model in the strong field limit with P. Chen and B. Schörkhuber. Under review, 2023.
Co-dimension one stable blowup for the quadratic wave equation beyond the light cone with P. Chen, R. Donninger, I. Glogić, and B. Schörkhuber. Comm. Math. Phys. Vol. 405, No. 34, 2024.
Development of singularities of the Skyrme model Journal of Hyperbolic Differential Equations Vol. 17, No. 01, pp. 61-73, 2020.
Turbulence and jet-driven zonal flows: Secondary circulation in rotating liquids due to asymmetric forcing with M. J. Burin, K. J. Caspary, E. M. Edlund, R. Ezeta, E. P. Gilson, H. Ji, J. Squire, and G. R. Tynan. Phys. Rev. E 99, 023108, 2019.

Undergraduate Research

Michigan State University

Summer 2024: Eigenvalues, continued fractions, and the stability of singularities co-organized with Burak Hatinoglu. Summer Undergraduate Research Institute in Experimental Mathematics (SURIEM) NSF REU

Teaching

University of Cologne

WS 25/26: Introduction to Nonlinear Wave Equations (Teaching Assistant)

Michigan State University

- Spring 2025: MTH429H Honors Introduction to Real Analysis (Course Development)
- Fall 2024: MTH327H Honors Introduction to Real Analysis
- Spring 2024: MTH254H Honors Multivariable Calculus
- Fall 2023: MTH124 Survey of Calculus
- Spring 2023: MTH103a College Algebra
- Fall 2022: MTH235 Ordinary Differential Equations

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