Max Reinhold Jahnke

Research Articles

• M. R. Jahnke. Closed elliptic structures on compact semisimple Lie groups. Proceedings of the American Mathematical Society (2026). https://doi.org/10.1090/proc/17563
• M. R. Jahnke, N. B. Rodrigues. A class of globally analytic hypoelliptic operators on compact Lie groups. The Journal of Geometric Analysis (2025). https://doi.org/10.1007/s12220-025-02100-6
• G. Araújo, I. A. Ferra, M. R. Jahnke and L. F. Ragognette. Global solvability and cohomology of tube structures on compact manifolds. Math. Ann. (2024). https://doi.org/10.1007/s00208-024-02804-0.
• H. Jacobowitz and M. R. Jahnke. Levi-flat CR structures on compact Lie groups. Annals of Global Analysis and Geometry (2023). https://doi.org/10.1007/s10455-023-09909-w
• G. Hoepfner, M. R. Jahnke and V. Novelli. Normalization, optimal regularity, and solvability in Gevrey classes of vector fields near trapped orbits. Proceedings of the AMS (2022). https://doi.org/10.1090/proc/16202
• M. R. Jahnke. Elliptic involutive structures on compact Lie groups. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (2023). https://doi.org/10.2422/2036-2145.202105_066
• P. D. Cordaro and M. R. Jahnke. Top-degree global solvability in CR and locally integrable hypocomplex structures. The Journal of Geometric Analysis (2021). https://doi.org/10.1007/s12220-020-00573-1
• N. B. Rodrigues, G. Chinni, P. D. Cordaro and M. R. Jahnke. Lower order perturbation and global analytic vectors for a class of globally analytic hypoelliptic operators. Proceedings of the American Mathematical Society (2016), 144(12), 5159-5170. https://doi.org/10.1090/proc/13178.

Preprints

• H. Jacobowitz, M. R. Jahnke, V. Novelli, K. Wehler. CR structures on compact Lie groups. Manuscript available upon request.
• G. Araújo, I. A. Ferra, M. R. Jahnke and L. F. Ragognette. Real Involutive systems on compact Lie groups. Submitted. https://arxiv.org/abs/2602.22210

Complete Work in Conference Proceedings

• P. D. Cordaro and M. R. Jahnke. (2012). Expansão Assintótica em Classes de Gevrey. Atas do VI Simpósio de Iniciação Científica e Pós-graduação do Instituto de Matemática e Estatística da Universidade de São Paulo, São Paulo, Brazil.
• M. V. P. Garcia, S. R. L. Garcia and M. R. Jahnke. (2008). O teorema de Arzelà-Ascoli e aplicações à análise. Atas do IV Simpósio de Iniciação Científica e Pós-Graduação do IME-USP, São Paulo, Brazil.

Extended Abstract in Conference Proceedings

• J. M. P. Soler, A. H. Ribeiro and M. R. Jahnke. (2017). A produção da cerveja produzindo conhecimento. Anais do 3o Congresso de Graduação da Universidade de São Paulo, Pró-Reitoria de Graduação – PRG.

Doctoral Dissertation and Master’s Thesis

• Doctoral dissertation –  M. R. Jahnke. (2018). Top-degree solvability for hypocomplex structures and the cohomology of left-invariant involutive structures on compact Lie groups. University of São Paulo, São Paulo, Brazil. DOI: 10.11606/T.45.2019.tde-25032019-092801
• Master’s Thesis – M. R. Jahnke. (2013). A equação de Euler e a análise assintótica de Gevrey. University of São Paulo, Brazil. DOI: 10.11606/D.45.2013.tde-07022014-205830