Renan Assimos
Renan Assimos (Martins)
Max Planck Institute for Mathematics in the Sciences
Inselstraße 22, 04103 Leipzig, Germany
assimos@mis.mpg.de
Welcomão! I have recently graduated (July 2019) from my PhD studies at the Max Planck Institute for Mathematics in the Sciences in the research group Geometry, Analysis and Theoretical Physics . My advisor was Prof. Jürgen Jost.
I am currently a post-doc at the Max Planck Institute for Mathematics in the Sciences in the same research group.
I am interested in various topics within geometric analysis, the calculus of variations, differential geometry, and nonlinear partial differential equations. In particular harmonic maps and minimal submanifolds of high codimension.
Projects and Preprints
- Assimos, R. - On the instersection of minimal hypersurfaces of $S^k$, 2020. Submitted. Preprint available on arXiv:2004.08358.
- Assimos, R. and Jost, J. - Spherical Bernstein Theorems for codimension 1 and 2, 2019. Submitted. Preprint available on arXiv:1910.14445. PDF.
- Assimos, R. and Jost, J. - Harmonic maps from surfaces of arbitrary genus into spheres, 2019. Under Review. Preprint available on arXiv:1910.13966. PDF.
- Assimos, R. and Jost, J. - The Geometry of Maximum Principles and a Bernstein Theorem in Codimension 2, 2018. Under Review. Preprint available on arXiv:1811.09869. PDF.
Other notes
- Assimos, R. - The Geometry of Maximum Principles and a Bernstein Theorem in Codimension 2. PhD thesis, Leipzig University and the Max Planck Institute for Mathematics in the Sciences, 2019. PDF Photos1,2
- Assimos, R. - Riemannian Holonomy Groups (Based on the book of Dominic Joyce and J. Simons' proof of Berger's classification theorem. In Portuguese!) PDF.
Professional Service
- Referee for: Calculus of Variations and PDE
Invited Talks and Conferences
- Analysis Seminar of the University of Warwick, United Kingdom. May 2019. Organizer: Prof. Peter M. Topping.
Title: The Geometry of Maximum Principles and a Bernstein theorem for codimension 2.
- Analysis Seminar of the Scuola Normale Superiore di Pisa, Italy. April 2019. Organizer: Prof. Andrea Malchiodi. Photos1,2
Title: The Geometry of Maximum Principles and a Bernstein theorem for codimension 2.
- Analysis Seminar of the ETH Zürich, Switzerland. March 2019. Organizer: Prof. Michael Struwe. Photo
Title: The Geometry of Maximum Principles and a Bernstein theorem for codimension 2.
- Canadian Mathematical Society Meeting 2018, Vancouver, Canada. December 2018.
Title: The Geometry of Maximum Principles.
Teaching: Seminars and Lectures
- Sep(2019)-Mar(2020): Topics in Regularity Theory of Elliptic and Parabolic PDEs.
Audience: PhD students and Post-docs, Max Planck Institute for Mathematics in the Sciences.
- Sep(2018)-Mar(2019): Geometric Measure Theory, the regularity of Varifolds.
Audience: PhD students and Post-docs, Max Planck Institute for Mathematics in the Sciences.
- Aug(2017)-Jun(2018): The Analysis of harmonic maps and their heat flows.
Audience: PhD students and Post-docs, Max Planck Institute for Mathematics in the Sciences.
- Sep(2017)-Jul(2018): Coorganizer: Likbez seminar on basic notions of science and mathematics (Geometry and Analysis section).
Audience: PhD and Master students, Max Planck Institute for Mathematics in the Sciences.
- Aug(2013)-January(2015): Lecturer (Professor Substituto) Calculus IV \& Partial Differential Equations.
Audience: Engineering students, Universidade Federal do Rio de Janeiro.
- Aug(2013)-January(2015): Lecturer (Professor Substituto) Calculus I.
Audience: Engineering students, Universidade Federal do Rio de Janeiro.
Short Academic CV
References
- Prof. Jürgen Jost, Max Planck Institue for Mathematics in the Sciences.
- Prof. Camillo de Lellis, Institute for Advanced Study (homepage).
- Prof. Peter Topping, Warwick University (homepage).
- Prof. László Székelyhidi, Leipzig University.
- Prof. Stephan Luckhaus, Leipzig University.
Visits: