Department of Mathematics
PEOPLE: Faculty

Thomas Geisser

Professor of Mathematics

Contact Information
E-mail: geisser@math.usc.edu
Phone: (213) 740-2399
Office: KAP 464D

LINKS
Curriculum Vitae
Faculty Profile on Departmental Website
Personal Website
 

Education

  • Diploma Mathematics, Universitaet Bonn (Germany), 9/1990
  • Ph.D. Mathematics, Universitaet Muenster (Germany), 5/1994

Academic Appointment, Affiliation, and Employment History

Tenure Track Appointments
  • Professor, University of Southern California, 09/01/2006-  
  • Associate Professor, University of Southern California, 09/01/2002-08/31/2006  
  • Assistant Professor, University of Southern California, 09/01/2000-08/01/2002  
Visiting and Temporary Appointments
  • JSPS Research Fellow, University of Tokyo, 09/01/1998-08/01/2000  
  • Visiting Assistant Professor, University of Illinois at Urbana-Champaign, 01/01/1998-06/01/1998  
  • Visiting Scholar, Harvard University, 01/01/1996-12/01/1996  
  • Visitor, Max Planck Institut fur Mathematik Bonn, 10/01/1995-12/01/1995  
  • Visiting Scholar, Harvard University, 10/01/1994-09/01/1995  
  • Visiting Fellow, Harvard University, 09/01/1992-06/01/1993  
PostDoctoral Appointments
  • Researcher, Universitat Essen, 01/01/1997-12/01/1997  
Other Employment
  • Assistant, Universitat Munster, 07/01/1993-09/01/1994  
  • Assistant, Universitat Munster, 10/01/1990-08/01/1992  
  • Assistant, Universitat Bonn, 04/01/1988-09/01/1990  

Description of Research

Summary Statement of Research Interests
Professor Geisser studies arithmetic algebraic geometry, algebraic K-theory, and motivic cohomology. His recent work and publications provide detail and insight into these fields.
Research Keywords
arithmetic algebraic geometry, algebraic K-theory, motivic cohomology

Publications

Conference Proceeding
  • Geisser, T. H. (2005). The cyclotomic trace map and values of zeta-functions. Hindustan Book Agency.
  • Geisser, T. (2000). Applications of de Jong's theorem on alterations, ,. Progr. in Math. 181, 2000,. pp. 299-314.
  • Geisser, T. H., Lars, H. (1999). Topological cyclic homology of schemes. AMS Proc Symp Pure Math..
Encyclopedia Article
  • Geisser, T. (2005). Motivic cohomology, algebraic K-theory and topological cyclic. (Friedlander, Grayson, Ed.). p.193-234. Handbook of K-theory/Springer.
Journal Article
  • Geisser, T. H. (2008). The affine part of the Picard scheme. Compositio Math..
  • Geisser, T. H. (2008). Duality via cycle complexes. Annals of Math..
  • Geisser, T., Hesselholt, L. (2006). The de Rham-Witt complex and vanishing cycles. Journal of the American Mathematical Society/American Mathematical Society. Vol. Vol.19, pp. pp. 1-36.
  • Geisser, T., Hesselholt, L. (2006). K-theory and topological cyclic homology of smooth schemes over discrete valuation rings. Transactions of the American Mathematical Society/American Mathematical Society. Vol. Vol. 358, pp. pp.131-145.
  • Geisser, T., Hesselholt, L. (2006). On the K-theory of regular local $F_p$-algebras. Topology. Vol. NA
  • Geisser, T., Hesselholt, L. (2006). Bi-relative algebraic K-theory and topological cyclic homology. Inventiones Math.. pp. p.not listed.
  • Geisser, T. (2005). Arithmetic cohomology over finite fields and values of zeta-functions. Duke Journal of Mathematics/Duke University Press. Vol. NA
  • Geisser, T. (2004). Motivic Cohomology over Dedekind rings. Mathematische Zeitschrift/Springer. Vol. Vol. 238, pp. pp. 773-794.
  • Geisser, T. (2004). Weil-\'etale cohomology over finite fields. Mathematische Annalen/Springer. Vol. Vol. 330., pp. p. 665-692.
  • Geisser, T., Levine, M. (2001). The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky. J. Reine. Angew. Math./Walter de Gruyter. Vol. Vol. 530, pp. pp. 55-103.
  • Geisser, T., Marc, L. (2000). The $K$-theory of fields of characteristic p. Invent. Math.. Vol. 139, pp. 459-493.
  • Geisser, T. (1998). Tate's conjecture, algebraic cycles and rational $K$-theory. K-theory/Kluwer Academic Press. Vol. Vol. 13, pp. pp.13 109-122.
  • Geisser, T. (1997). On $K_3$ of Witt vectors of length two over finite fields. K-theory/Kluwer Academic Press. Vol. Vol. 12, pp. pp.193-226.
  • Geisser, T. (1997). p-adic K-theory of Hecke characters of imaginary quadratic fields,. Duke Math, J.. Vol. 86, pp. 197-238.
  • Geisser, T. H. (1991). Galoiskohomologie reeller halbeinfacher algebraischer. Abh.Math.Sem.Hamburg.

Honors and Awards

  • Sloan Research Fellowship Recipient, Sloan Fellowship, 2000-2004  
  • Alexander von Humbolt Fellowship Recipient, JSPS Fellowship, 1998-2000  

Service to the Profession

Conferences Organized
  • Co-organizer, Workshop on motievs, Tokyo, 2008-2009   
  • Co-organizer, K-theory, Oberwolfach/ Germany, I became regular co-organizer of this tri-annual conference., 2008-2009   
  • Co-organizer, Workshop of motives, Tokyo, 2006-2007   
  • Co-organizer, Workshop of motives, Tokyo, 2005-2006   
  • Co-organizer, Homotopy theory of schemes, Oberwolfach/ Germany, 2003-2004   
Professional Memberships
  • American Mathematical Society, 1995-9999  
  • Deutsche Mathematische Vereinigung, 1990-9999