Max Reinhold Jahnke

Departamento de Matemática – Universidade Federal de São Carlos – DM-UFSCar – Rodovia Washington Luiz, Km 235 – SP 310 – CEP 13565-905 – São Carlos/SP
jahnke@dm.ufscar.br

I am a postdoctoral researcher at the Federal University of São Carlos. My research interests lie at the intersection of Partial Differential Equations, Several Complex Variables, and Differential Geometry. I am a specialist in local and global solvability for involutive structures, and I have a growing interest in complex and CR structures. I also have experience on how to use algebraic properties of invariant involutive structures on compact Lie groups to understand some analytical properties of such structures. Besides mathematics, my hobbies are cycling, making beer, playing guitar and eventually playing video games.


Education and Professional Preparation

Federal University of São Carlos – Brazil

Postdoctoral Work
School: Department of Mathematics.
Project: Normalization, regularity and solvability for vector fields near trapped orbits.

Supervisor: Prof. Dr. Jorge Hounie.

January 2019 – Current

Rutgers University – USA

Visiting Scholar
School: Department of Mathematics.

Supervisor: Prof. Dr. Howard Jacobowitz.

January 2020 – January 2021

University of São Paulo – Brazil

Doctor of Philosophy in Applied Mathematics
School: Institute of Mathematics and Statistics.

Advisor: Prof. Dr. Paulo Domingos Cordaro.

August 2013 – December 2018

Temple University – United States of America

Research Internship
School: Department of Mathematics.
Research project: Topics in Global Analysis, Geometry and Algebraic Topology.

Supervisor: Prof. Dr. Gerardo A. Mendoza.

September 2017 – December 2017

University of São Paulo – Brazil

Master of Science in Applied Mathematics
School: Institute of Mathematics and Statistics.

Advisor: Prof. Dr. Paulo Domingos Cordaro.

August 2011 – July 2013

University of São Paulo – Brazil

Bachelor of Science in Mathematics
School: Institute of Mathematics and Statistics.
Senior Thesis: Topics in Differential Topology.

Advisor: Prof. Manuel V. de P. Garcia.

August 2007 – July 2011

Publications and pre-prints

Research Articles



Preprints



Ongoing projects

  • G. Araújo, I. A. Ferra, M. R. Jahnke and L. F. Ragognette. On finiteness of the cohomology spaces of involutive systems on compact manifolds. In preparation.
  • G. Araújo and M. R. Jahnke. Hypoelliptic abelian involutive structures on compact Lie groups. In preparation.



Complete Work in Conference Proceedings




Extended Abstract in Conference Proceedings




Doctoral Dissertation and Master’s Thesis




Talks and posters

  • N. Braun Rodrigues, G. Chinni, P. D. Cordaro and M. R. Jahnke. (2017). Global analytic hypo-elliptic operators on compact Lie groups and a perturbation result for a new class of analytic operator on the torus. 2017. Poster presentation in 9th Workshop on GEOMETRIC ANALYSIS OF PDEs and SEVERAL COMPLEX VARIABLES).
  • M. R. Jahnke. (2012). Expansão Assintótica de Gevrey. Talk in VI Simpósio de Iniciação Científica e Pós-graduação do IME-USP.
  • M. V. P. Garcia, S. R. L. Garcia and M. R. Jahnke. (2008). O Teorema de Arzelà-Ascoli e Aplicações à Análise. Talk in IV Simpósio de Iniciação Científica e Pós-graduação.

Grants and Scholarships

Postdoctoral Research Fellowship – FAS-FAPESP

Fellowship in Brazil from São Paulo Research Foundation.
June 2019 – Present

Postdoctoral Research Fellowship – BEPE-FAPESP

Fellowship from São Paulo Research Foundation to visit Rutger University.
Januay 2020 – Januay 2021

Postdoctoral Research Fellowship – PNPD-CAPES

Fellowship from Coordination for the Improvement of Higher Education Personnel.
January 2019 – May 2019

Research Internship Abroad Scholarship – PDSE-CAPES

Scholarship from Coordination for the Improvement of Higher Education Personnel.
September 2017 – December 2017

Ph.D. Graduate Scholarship – CNPq

Fellowship in Brazil from São Paulo Research Foundation.
February 2014 – January 2018

MSc. Graduate Scholarship – CNPq

Scholarship from National Council of Technological and Scientific Development.
August 2009 – July 2010

Undergraduate Research Scholarship – CNPq

Scholarship from National Council of Technological and Scientific Development.
August 2009 – July 2010

Undergraduate Research Scholarship – PEP

Fellowship in Brazil from São Paulo Research Foundation.
August 2008 – July 2009

Participation in Conferences and Workshops

XII Simpósio de Equações Diferenciais – UFPR

Talk: The cohomology of left-invariant elliptic involutive structures.
February 2019

Symposium in Harmonic Analysis and Geometric Measure Theory, USP – Ribeirão Preto

Poster: Top-degree solvability in hypocomplex structures with applications to left-invariant hypocomplex structures on compact Lie groups.
August 2018

International Workshop on Partial Differential Equations and Complex Variables – UFSCar

Poster: Top-degree solvability in hypocomplex structures with applications to left-invariant hypocomplex structures on compact Lie groups.
August 2018

9th Workshop on Geometric Analysis of PDEs and Several Complex Variables

Poster: Global analytic hypo-elliptic operators on compact Lie groups and a perturbation result for a new class of analytic operator on the torus.
August 2017

VI Simpósio de Iniciação Científica e Pós-Graduação – IME-USP

Poster: Expansão Assintótica de Gevrey.
November 2012

XIX Simpósio Internacional de Iniciação Científica – USP

Talk: Expansão Assintótica de Gevrey.
August 2011

XIX Simpósio Internacional de Iniciação Científica – USP

Talk: O Teorema de Arzelà-Ascoli e Aplicações à Análise.
November 2008

Teaching Experience

Teaching assistant experience

University of São Paulo

I was a teacher assistant in many courses for undergraduate and graduate students, ranging from basic calculus and linear algebra to advanced courses in partial differential equations and analysis. I gave lectures, prepared exercises, helped students with their questions and problems.

2010 – 2018

Courses

  • Calculus I for Chemistry – 2018;
  • Calculus I for Architecture – 2016;
  • Calculus VI (Integral Calculus) – 2015;
  • Calculus III – 2015;
  • Calculus VI (Integral Calculus) – 2014;
  • Calculus III for Oceanography – 2013;
  • Introduction to Analysis – 2012;
  • Numerical Methods for Differential Equations – 2011;
  • Foundations of Numerical Analysis – 2010;

Academic Services

Organization of Events

  • (Organizing Committee) 10th Workshop on GEOMETRIC ANALYSIS OF PDEs and SEVERAL COMPLEX VARIABLES;
  • (Organizing / Scientific Committee) 1º Congresso de Estudantes de Pós-Graduação em Matemática e Matemática Aplicada do IME – USP;

Reviewer

  • The Journal of Geometric Analysis (2021);
  • Advances in Operator Theory (2021);

Languages

  • Portuguese - Native Language;
  • English - Fluent;
  • French - Technical reading;
  • Esperanto - Intermediate reading and listening; Basic writing and speaking;
  • Spanish - Intermediate reading and listening.

Other Skills

Writing about science and technology
From 2006 to 2013, I wrote as a freelancer about technology to Revista Locaweb.
Basic Webdesign
I have basic knowledge about how to create and maintain websites for personal and professional use. Gabriel Araújo and I created the website for the 10th Workshop on GEOMETRIC ANALYSIS OF PDEs and SEVERAL COMPLEX VARIABLES.
Advanced Programming & Master of Unix-foo
C, C++, Ruby, Python, Golang, Godot Unix-foo

Other Interests

In my free time I like to be with my wife. We often go for a walk, a bike ride. We love watching TV shows. Sometimes we also play video games.

I love reading science fiction, medieval fantasy, and studying languages. I love learning and I am always learning something. Recently I started studying music and learning to play the guitar. I still sound bad!

I also like to make and drink beer.

I love free software and free culture.