Aurélio Menegon

Senioruniversitetslektor|Senior Lecturer

Bakgrund

I was born in a small town in the south of Brazil. After 24 years I moved to Mexico to do my PhD. Then I returned to Brazil, where I worked as an assistant professor for 10 years. In 2022 I moved to Sweden to work as a lecturer at Mid Sweden University.

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

I graduated in Production Engineering at the University of São Paulo (Brazil), where I also got my Master's degree in Mathematics. In 2012 I got my PhD degree in Mathematics from the National Autonomous University of Mexico.

Övrigt

Minha língua nativa é o português, mas também falo espanhol, inglês e um pouco de sueco.

Publikationer

Artiklar i tidskrifter

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. (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.  

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.  

Sidan uppdaterades 2023-09-21