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Thomas Geisser

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Thomas Geisser
NameThomas Geisser
Birth date1966
NationalityGerman
FieldsMathematics
WorkplacesUniversity of Southern California, Nagoya University, University of Regensburg
Alma materUniversity of Bonn, Kyoto University
Doctoral advisorChristopher D. Hacon

Thomas Geisser Thomas Geisser is a mathematician known for work in algebraic K-theory, arithmetic geometry, and motivic cohomology. He has held positions at universities and research institutes across Europe, Asia, and North America and has collaborated with leading researchers in algebraic geometry and number theory. His contributions intersect with topics in algebraic cycles, étale cohomology, and special values of zeta functions.

Early life and education

Geisser was born in Germany and completed undergraduate and graduate studies in mathematics at institutions including the University of Bonn, where he studied under advisors connected to the traditions of Alexander Grothendieck and Jean-Pierre Serre, and at Kyoto University where influences included Japanese schools linked to Heisuke Hironaka and Shigefumi Mori. During his doctoral and postdoctoral period he engaged with research communities associated with Max Planck Institute for Mathematics, Institut des Hautes Études Scientifiques, ETH Zurich, and collaborators from Princeton University and Harvard University.

Academic career

Geisser held faculty and research positions at universities such as Nagoya University, University of Regensburg, and the University of Southern California. He has been affiliated with research centers including the Mathematical Sciences Research Institute, the Pacific Institute for the Mathematical Sciences, and the Simons Foundation programs, collaborating with scholars from University of Cambridge, University of Oxford, University of Tokyo, and Kyoto University. His teaching and supervision activities connected him with graduate programs at institutions like Columbia University, Stanford University, University of Chicago, and University of Bonn.

Research and contributions

Geisser's research focuses on algebraic K-theory, motivic cohomology, étale cohomology, and arithmetic duality, contributing to problems related to the Bloch–Kato conjecture, the Beilinson conjectures, and the Lichtenbaum conjecture. His work often draws on ideas from Alexander Grothendieck, André Weil, Jean-Pierre Serre, Kazuya Kato, Spencer Bloch, and Vladimir Voevodsky, and interfaces with concepts developed by Daniel Quillen, Quentin G. Parker, and John Milnor. Geisser has produced results on henselian discrete valuation rings, wild ramification, cycle complexes, and the relationship between motivic complexes and étale sheaves, building on techniques from Étale cohomology, Deligne's work on weights, and the theory of motives. His collaborations include joint work with researchers influenced by Robert MacPherson, Pierre Deligne, Guy Roos, and Lars Hesselholt, extending methods from topological cyclic homology, p-adic Hodge theory, and the study of special values of zeta and L-functions such as those appearing in conjectures of Beilinson and Bloch.

Selected publications

- Geisser, T., work on motivic cohomology of schemes related to results by Vladimir Voevodsky, Spencer Bloch, Andrei Suslin, and Marc Levine. - Geisser, T., papers linking algebraic K-theory with étale cohomology, connected to theories by Daniel Quillen, John Milnor, Barry Mazur, and Kazuya Kato. - Geisser, T., joint articles on arithmetic duality theorems and Lichtenbaum's conjecture, in dialogue with contributions from John Tate, Alexander Grothendieck, Jean-Pierre Serre, and Pierre Deligne. - Geisser, T., studies of cycle complexes and motivic complexes relating to Beilinson conjectures, Bloch–Kato conjecture, Lichtenbaum conjecture, and work by Vladimir Voevodsky and Marc Levine.

Awards and honors

Geisser's research has been recognized through invitations to speak at conferences organized by groups such as the American Mathematical Society, the European Mathematical Society, and the International Congress of Mathematicians satellite meetings, and through research fellowships tied to institutes like the Max Planck Institute for Mathematics and the Mathematical Sciences Research Institute. He has received honors associated with academic societies including the Deutsche Forschungsgemeinschaft and collaborative grants from agencies such as the National Science Foundation and the Japan Society for the Promotion of Science.

Category:German mathematicians Category:Algebraic geometers