Curriculum Vitae
Publications

Asymptotic stability of solitary waves for the 1D cubic Schrödinger equation under even perturbations
Y. Li, J. Lührmann
Preprint arXiv:2408.15427, 91 pp.

On codimension one stability of the soliton for the 1D focusing cubic KleinGordon equation
J. Lührmann, W. Schlag
To appear in Comm. Amer. Math. Soc., 108 pp.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation outside symmetry
J. Lührmann, S.J. Oh, S. Shahshahani
Preprint arXiv:2212.05620, 99 pp.

Soliton dynamics for the 1D quadratic KleinGordon equation with symmetry
Y. Li, J. Lührmann
J. Differential Equations 344 (2023), 172–202.

The wave maps equation and Brownian paths
B. Bringmann, J. Lührmann, G. Staffilani
To appear in Comm. Math. Phys., 99 pp.

Asymptotic stability of the sineGordon kink under odd perturbations
J. Lührmann, W. Schlag
Duke Math. J. 172 (2023), no. 14, 2715–2820.

On modified scattering for 1D quadratic KleinGordon equations with nongeneric potentials
H. Lindblad, J. Lührmann, W. Schlag, A. Soffer
Int. Math. Res. Not. 2023 (2022), no. 6, 5118–5208.

Probabilistic small data global wellposedness of the energycritical MaxwellKleinGordon equation
J. Krieger, J. Lührmann, G. Staffilani
Arch. Ration. Mech. Anal. 247 (2023), no. 4, 109 pp.

Asymptotics for 1D KleinGordon equations with variable coefficient quadratic nonlinearities
H. Lindblad, J. Lührmann, A. Soffer
Arch. Ration. Mech. Anal. 241 (2021), no. 3, 1459–1527.

Asymptotic stability of harmonic maps on ℍ^{2} under the Schrödinger maps evolution
A. Lawrie, J. Lührmann, S.J. Oh, S. Shahshahani
Comm. Pure Appl. Math. 76 (2023), no. 3, 453–584.

Decay and asymptotics for the 1D KG equation with variable coefficient cubic nonlinearities
H. Lindblad, J. Lührmann, A. Soffer
SIAM J. Math. Anal. 52 (2020), no. 6, 6379–6411.

Local smoothing estimates for Schrödinger equations on hyperbolic space
A. Lawrie, J. Lührmann, S.J. Oh, S. Shahshahani
Mem. Amer. Math. Soc. 291 (2023), no. 1447, v+165 pp.

Almost sure local wellposedness and scattering for the 4D cubic nonlinear Schrödinger equation
B. Dodson, J. Lührmann, D. Mendelson
Adv. Math. 347 (2019), 619–676.

Almost sure scattering for the 4D energycritical defocusing NLW equation with radial data
B. Dodson, J. Lührmann, D. Mendelson
Amer. J. Math. 142 (2020), no. 2, 475–504.

Concentration Compactness for Critical Radial Wave Maps
E. Chiodaroli, J. Krieger, J. Lührmann
Annals of PDE 4 (2018), no. 1, Art. 8, 148 pp.

Concentration Compactness for the Critical MaxwellKleinGordon Equation
J. Krieger, J. Lührmann
Annals of PDE 1 (2015), no. 1, Art. 5, 208 pp.

On the almost sure global wellposedness of energy subcritical nonlinear wave equations on ℝ^{3}
J. Lührmann, D. Mendelson
New York J. Math. 22 (2016), 209–227

Random data Cauchy theory for nonlinear wave equations of powertype on ℝ^{3}
J. Lührmann, D. Mendelson
Comm. Partial Differential Equations 39 (2014), no. 12, 2262–2283

Meanfield quantum dynamics with magnetic fields
J. Lührmann
J. Math. Phys. 53 (2012), no. 2, 19 pp.
Past Conferences and Workshops Teaching
Texas A&M University

Spring 2024: Math 410 Advanced Calculus II

Spring 2024: Math 308 Differential Equations

Spring 2023: Math 612 Partial Differential Equations

Spring 2023: Math 308 Differential Equations

Fall 2022: Math 611 Introduction to Ordinary and Partial Differential Equations

Spring 2022: Math 308 Differential Equations

Spring 2021: Math 410 Advanced Calculus II

Spring 2021: Math 689 Special Topics Course on Nonlinear Waves and Dispersive Equations

Spring 2020: Math 410 Advanced Calculus II

Fall 2019: Math 412 Theory of Partial Differential Equations
Johns Hopkins University

Spring 2019: Math 302 Differential Equations with Applications

Fall 2018: Math 632 Partial Differential Equations II

Spring 2018: Math 417 Partial Differential Equations

Fall 2017: Math 302 Differential Equations with Applications

Spring 2017: Math 405 Analysis I

Fall 2016: Math 106 Calculus I (Biology and Social Sciences)
Funding
I am grateful to the National Science Foundation for generously supporting my research.
