Thuy Nguyen.
Doctor in Mathematics, obtained by the Aix-Marseille University, France.
Researcher and Lecturer (permanent position, "Professor Doutor Regime RDIDP") at São Paulo State University (UNESP), Brazil.
Research interests: Jacobian conjecture, Singularity theory, Characteristic classes, Lipschitz geometry.
Research highlights:
Prove the 2-dimensional complex Jacobian conjecture up to degree 104, improving Moh's boundary (1983) from 100 to 104. Article.
Provide a new approach to the complex Jacobian conjecture (1939) in any dimension using intersection homology. Article.
Characterize the bifurcation set of complex polynomial mappings using intersection homology. Article.
Prove Euler's formula using Cauchy's method, settling controversies surrounding this approach since 1813. Article.
Prove the Poincaré–Hopf theorem for real singular varieties using Lipschitz stratifications. Article
Provide a local bi-Lipschitz classification of semi-algebraic surfaces. Article.
Construct characteristic classes for complex singular varieties using Lipschitz stratifications, simplifying the proof and construction originally developed by Marie-Hélène Schwartz in 1965. ArXiv:2502.07567
RECENT ACTIVITIES
Gave a talk at Mathematical Congress of the Americas, Miami-US, July 2025.
Gave a seminar talk at "Séminaire de Géométrie et Topologie de Marseille", FRUMAM, Aix-Marseille University, France, June 2025.
Gave a talk at "Spring School/Conference: Singularities in Algebraic Geometry", Centre de Mathématiques Henri Lebesgue, University of Rennes, France, June 2025. (Slides)
Gave two seminar lectures for "Complex analysis seminar" at Faculty of Mathematics and Physics, University of Ljubljana, Slovenia, October 2024.
Presented research work at "Trieste Algebraic Geometry Summer School (TAGSS) 2024 - Tropical Geometry and Related Topics", ICTP, Trieste, Italy. September 2024.
Gave a talk at “Singularities and Algebraic Geometry”, Phu Yen University, Vietnam, March 2024.
Gave a colloquium talk at Kiel University, Kiel University, Germany, September 2023.
Gave a talk at “Characteristic Classes and Singular Spaces”, Kiel University, Germany, September 2023.
Gave a talk at “Oka Theory and Complex Geometry Conference”, Sophus Lie Conference Centre, Nordfjordeid, Norway, June 2023. (Slides)
Gave a talk at "Mini-Workshop: Dynamics and Geometry", University of Oslo, Norway, June 2023.
Gave a talk at "Gdańsk-Kraków-Łódź-Warzawa Workshop in Singularity Theory”, Warsaw, Poland, December 2022. (Slides)
Gave a talk at “Applied Topology in Będlewo”, Będlewo Conference Center, Poland, July 2022. (Slides)
Gave a talk at "Mathematical Congress of the Americas", University of Buenos Aires, Argentina, June 2021.
Gave a seminar talk for “Seminar Number Theory and Algebraic Geometry”, KU Leuven, Belgium, November 2019. (Slides)
Gave a talk at “Colóquio Brasileiro de Matemática”, IMPA, Rio de Janeiro, Brazil, August 2019.
Gave a talk at "Singularities and Algebraic Geometry", congress “Vietnam-USA Joint Mathematical Meeting”, Quy Nhon, Vietnam, June 2019. (Slides)
Gave a talk at “Workshop on Singularities, Geometry and Differential Equation”, Vitória, Brazil, February 2019.
Gave a lecture (in Portuguese) at "Hora da Matemática", UNESP university, Campus IBILCE, Brazil, 2018. (Video)
Postgraduate teaching
Topics in Geometry and Topology (for PhD students)
General Topology (for Master students)
Languagues: Vietnamese, French, English, Portuguese, Spanish.
