Salahoddin Shokranian

My mathematical interests are: Number Theory, Automorphic Forms (Modular Forms, and Trace Formulas), Representation Theory and Harmonic Analysis on p-adic groups and symmetric spaces, especially their role in number theory, coding theory, and topology.

After studying at Arya-Mehr University in Tehran and Stanford University in California , I did my Ph.D. with Ichiro Satake at the University of California Berkeley in 1982.

Since then I have held a permanent position at the Universidade de Brasilia.

From 1984 to 1998 I have visited many research centers and universities to mention some: TIFR-Bombay, IMPA-Rio de Janeiro, IAS-Princeton, The University of Torornto, Purdue University, UC Berkeley, IPM (the Institute for Theoretical Physics and Mathematics) Tehran-Iran, Sharif University of Technology Tehran-Iran, The United States Naval Academy Maryland. University of California Berkeley. Chuo University Tokyo, The Research Institute of Mathematical Sciences (RIMS) Kyoto, Yale University, will visit Max-Planck at Bonn from March to May 1999. Yale Univesrsity Spring Term 2000.

Publications:
  1. Some notes on classical domains of type IV, Preprint University of Brasilia 1983.
  2. On the dimension of space of cusp forms for SO(3,2), (co-author S. S. Rangachari) Preprint TIFR, 1985.
  3. Limit of traces of irreducible components of supercuspidal Hecke operators, Proceeding of the school of Algebra (1990), 139-143.
  4. Topology and trace formula, Proceeding of the Brasilian math. Colloq. (1991), 40-45.
  5. L^2-cohomology and Hecke operators, C.R. Canada, 13 (1991), 229-233.
  6. The twisted L^2-Lefschetz numbers of Hecke operators, C.R. Canada, 13 (1991), 243-247.
  7. The Selberg-Arthur Trace Formula, Lecture Notes in Mathematics 1503, Springer-Verlag (1992).
  8. Coding Theory and Bilinear Complexity (co-author, M.A. Shokrollahai), GmbH KFA Germany Vol.21 (1993).
  9. Teoria dos Números, (co-authors, H. Godinho, M. Soares) The University of Brasilia Press (1994).
  10. Examples of trace formulas, Proceeding of the school of Algebra (1995), 221-226.
  11. A local twisted trace formula (co-author, D. Joyner) Preprint 1995, 1-260 pages.
  12. On invariant distribution on a p-adic reductive group (co-author D. Joyner), subm. for publication 1-31 pages.
  13. Arithmetic Groups: An Introduction to Trace Formula and Hecke Operators, Publication of IPM - Lecture Note Series 2, 1997, 230 pages.
  14. An Elementary local trace formula for real symmetric spaces, in Proceeding of Kyoto Workshop on Number Theory and Automorphic Forms, pp 58-73, publication of the Research Institute of Mathematical Sciences (RIMS), Vol. 1052, June 1998, Kyoto Japan.
  15. Lefschetz Numbers on Weighted Cohomology for Twisted Groups, pp. 1-275, 1998.
  16. Arithmetic Groups, Jordan Algebras, and Zeta Functions, pp 1-150 preprint 1998.
  17. Remarks on codes from modular curves: Maple applications. Jointly with D. Joyner, to appear in Coding Theory and Cryptography: From Enigma and Geheimschreider to Quantum Theory. Springer Verlag, Nov. 1999.
  18. Variavel Complexa I (Portuguese), published by the University of Brasilia Press 2002.
  19. Geometria Hiperbolica e Teoria dos Numeros (Portuguese), to be published by the University of Brasilia Press, 2003.
  20. Numeros Notaveis (Portuguese), published by the University of Brasilia Press, 2002.
  21. Introducao a Algebra Linear (Portuguese), to be published by the University of Brasilia Press, 2003.
  22. Criptografia para Iniciantes (Portuguese), to be published.
Supervisions:
    I have supervised several master dissertations, in Artin's Conjecture and the Theorem of Hasse-Minkowski, Reduction Theory for GL(n, R), Cohomological Methods in Modular Forms.

    My e-mail address is

    sash@mat.unb.br