Lars Hesselholt

Lars Hesselholt is a Danish mathematician known for contributions to algebraic K-theory, arithmetic geometry, and homotopy theory. He has held positions at Aarhus University, the Massachusetts Institute of Technology, and the University of Copenhagen, collaborating with numerous researchers and institutions across Europe and North America. His work intersects with developments by leading figures and organizations in topology and number theory.

Early life and education

Born in Denmark, Hesselholt completed undergraduate and graduate studies at Aarhus University under the supervision of Ib Madsen, linking him to the tradition of Danish algebraic topology associated with scholars at University of Copenhagen and Niels Bohr Institute. He pursued postdoctoral training and visiting positions at institutions including the Massachusetts Institute of Technology and engaged with researchers from Princeton University, Harvard University, and University of Cambridge during formative years. Early influences and collaborators included members of research groups at Max Planck Institute for Mathematics, Institut des Hautes Études Scientifiques, and the École Normale Supérieure.

Academic career

Hesselholt has held faculty appointments at Aarhus University and later at the University of Copenhagen and Northwestern University, participating in exchanges with departments at Columbia University, Stanford University, and University of California, Berkeley. He has lectured at conferences organized by entities such as the International Congress of Mathematicians, European Mathematical Society, and American Mathematical Society, and contributed to themes explored at the Simons Foundation and the Clay Mathematics Institute. His collaborations span researchers affiliated with Princeton Institute for Advanced Study, Ohio State University, University of Chicago, and University of Michigan.

Research contributions

Hesselholt’s research centers on algebraic K-theory, topological cyclic homology, and arithmetic applications connecting to Witt vectors, p-adic Hodge theory, and motivic cohomology. He developed techniques related to trace methods and cyclotomic spectra that interact with ideas from Quillen, Milnor, and Serre via frameworks common to scholars at Institut de Mathématiques de Jussieu and Mathematical Sciences Research Institute. His work on topological Hochschild homology connects to constructions used by researchers at Max Planck Institute for Mathematics, Institute for Advanced Study, and Perimeter Institute. Results influenced studies in algebraic geometry at University of Oxford and number theory at University of Bonn and link to programs undertaken at European Research Council and Alexander von Humboldt Foundation. Collaborators and interlocutors include mathematicians associated with Centre National de la Recherche Scientifique, Kavli Institute for Theoretical Physics, and Royal Society prize recipients. Hesselholt’s papers address computations for schemes over fields with positive characteristic and ramifications for crystalline cohomology studied by teams at University of Paris-Saclay and Leiden University.

Awards and honors

His contributions have been recognized by awards and invitations from organizations including the American Mathematical Society and selection for lecture series sponsored by the European Mathematical Society and London Mathematical Society. He has been invited to speak at high-profile venues including the International Congress of Mathematicians and named to lecture rosters alongside recipients of the Fields Medal, Abel Prize, and Cole Prize. Institutional honors include fellowships and visiting positions supported by bodies such as the Simons Foundation, Alexander von Humboldt Foundation, and Danish Council for Independent Research.

Selected publications

- Paper on topological cyclic homology with applications to algebraic K-theory, coauthored with collaborators from Princeton University and Stanford University. - Work on Witt vectors, cyclotomic spectra, and computations in positive characteristic, with links to results by researchers at Harvard University and Massachusetts Institute of Technology. - Articles addressing relations between topological Hochschild homology and crystalline cohomology, cited by authors at University of Cambridge and University of Chicago. - Expository notes and conference proceedings presented at meetings organized by the American Mathematical Society, European Mathematical Society, and International Congress of Mathematicians.

Category:Danish mathematicians Category:Algebraic geometers Category:Topologists