About
Tom Bachmann is a Professor in the Department of Mathematics at Johannes Gutenberg University Mainz, Germany. His research focuses on motivic homotopy theory, algebraic geometry, and algebraic K-theory, with particular emphasis on topics such as motivic spectra, étale homotopy theory, and categorical structures in algebraic topology. He has authored numerous preprints and publications in leading journals, including collaborations with researchers like Aravind Asok, Elden Elmanto, and Mike Hopkins. His work often explores foundational aspects of motivic theory, such as P¹-stabilization, Whitehead theorems for motivic spaces, and normed motivic spectra. He currently advises four doctoral students and has previously mentored Ola Sande.
Teaching responsibilities include advanced courses on motivic homotopy theory, algebraic geometry, and algebraic number theory. His academic service includes organizing research seminars and contributing to curriculum development in topics like presheaves with transfers and Galois cohomology. Contact details include his office at Staudingerweg 9, 4-423, and email tom.bachmann@zoho.com.
Research interests span the intersection of algebraic geometry and homotopy theory, with a focus on categorical frameworks (e.g., Mackey functors, spectral categories) and their applications to questions in algebraic K-theory and cobordism. Recent work addresses étale motivic stable homotopy theory, nilpotence in MGL-modules, and the structure of motivic stable stems.
