Aurélio Menegon

Professor|Professor

Bakgrund

I was born in a small town in southern Brazil. In 2005 I graduated in Production Engineering from the University of São Paulo (Brazil), where I also completed a master's degree in Mathematics. In 2012, I obtained my PhD in Mathematics from the National Autonomous University of Mexico. After my PhD and some postdocs, I worked as an assistant professor in Brazil for 10 years. In 2022, I moved to Sweden to work as a senior lecturer at Mid Sweden University. In 2024 I was promoted to Full Professor.

Forskningsområden

Singularity Theory, Complex Geometry, Real Analytic Geometry.

Forskning

My research focuses on the area of Singularity Theory. I am interested in the study of the geometry and topology of singular spaces, such as complex analytic spaces and real subanalytic sets. I look for invariants and handleable structures that help us understand and classify such objects. One approach is to look at non-singular spaces that degenerate into the singular one. Another approach is to study how these singular spaces behave under small perturbations, in some topological sense.

Undervisning

At the basic level, I teach mathematics courses such as Differential Calculus, Integral Calculus, Linear Algebra and Cryptography. At intermediate (master's) and advanced (doctorate) levels, I have experience teaching subjects such as Topology, Algebraic Topology, Differential Topology and Singularities of Analytical Spaces.

Övrigt

My native language is Portuguese, but I also speak Spanish, English and a little Swedish.

Publikationer

Artiklar i tidskrifter
Kapitel i böcker, del av antologier
Övrigt

Artiklar i tidskrifter

Cisneros-Molina, J. L. & Menegon, A. (2024). Milnor fibration theorem for differentiable maps. Research in the Mathematical Sciences, vol. 11: 2    

Cisneros-Molina, J. L. , Menegon, A. , Seade, J. & Snoussi, J. (2023). Fibration theorems à la Milnor for analytic maps with non-isolated singularities. São Paulo Journal of Mathematical Sciences,  

Menegon, A. & Pereira, M. d. S. (2023). On deformations of isolated singularity functions. São Paulo Journal of Mathematical Sciences,  

Menegon, A. (2023). Thom property and Milnor-Le fibration for analytic maps. Mathematische Nachrichten, vol. 296: 8, ss. 3481-3491.  

Menegon, A. & de Jesus-Almeida, J. P. (2023). Topological Triviality in Families of Functions on Subanalytic Sets and Complex Analytic Spaces. International mathematics research notices, vol. 2023: 6, ss. 4869-4886.  

Martins, R. d. S. & Menegon, A. (2022). Fibration theorems for subanalytic maps. Boletín de la Sociedad Matematica Mexicana, vol. 28: 2  

Menegon, A. & Marques-Silva, C. S. (2022). On the Topology of the Milnor-Le Fibration for Functions of Three Real Variables. Bulletin of the Brazilian Mathematical Society, vol. 53: 2, ss. 461-477.  

Menegon, A. (2020). A Geometric Description Of The Monodromy Of Brieskorn-Pham Polynomials. Journal of Singularities, vol. 22, ss. 180-189.  

Luis Cisneros-Molina, J. & Menegon, A. (2019). Equivalence of Milnor and Milnor-Le fibrations for real analytic maps. International Journal of Mathematics, vol. 30: 14  

Luis Cisneros-Molina, J. & Menegon, A. (2019). Le’s vanishing polyhedron for a family of mixed functions. Bulletin of the London Mathematical Society, vol. 51: 6, ss. 1022-1038.  

Menegon, A. & Seade, J. (2019). Vanishing zones and the topology of non-isolated singularities. Geometriae Dedicata, vol. 202: 1, ss. 321-335.  

Menegon, A. & Seade, J. (2017). On the Le-Milnor fibration for real analytic maps. Mathematische Nachrichten, vol. 290: 2-3, ss. 382-392.  

Tráng, L. D. & Menegon, A. (2017). Vanishing polyhedron and collapsing map. Mathematische Zeitschrift, vol. 286: 3-4, ss. 1003-1040.  

Menegon, A. (2014). Le’s polyhedron for line singularities. International Journal of Mathematics, vol. 25: 13  

Fernandez de Bobadilla, J. & Menegon, A. (2014). The boundary of the Milnor fibre of complex and real analytic non-isolated singularities. Geometriae Dedicata, vol. 173: 1, ss. 143-162.  

Kapitel i böcker, del av antologier

Aguilar, M. , Menegon, A. & Seade, J. (2021). On the Boundary of the Milnor Fiber. I Singularities and Their Interaction with Geometry and Low Dimensional Topology. Birkhäuser Verlag (Trends in Mathematics). S. 313-332.  

Övrigt

Cisneros-Molina, J. L. & Menegon, A. (2021). Errata to equivalence of Milnor and Milnor–Lê fibrations for real analytic maps : World Scientific Pub Co Pte Ltd..  

Sidan uppdaterades 2024-02-03