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Dr Yiannis Petridis
504B
25 Gordon Street
London
WC1H 0AY
Appointment
  • Reader in Mathematics
  • Dept of Mathematics
  • Faculty of Maths & Physical Sciences
 
 
Research Summary

Dr Petridis works on analytic aspects of automorphic forms and their relation to the spectral theory of the Laplace operator on hyperbolic Riemann surfaces. He has applied perturbation methods to understand the location of scattering poles, which in arithmetic examples relate to the nontrivial zeros of the Riemann zeta function and other L-series. Currently he works on the distribution of modular symbols and distributional questions of closed geodesics and groups elements with restrictions of (co)homological type. Problems in quantum chaos for hyperbolic manifolds are investigated in relation to the behavior of (more complicated) L-series.

Another line of investigation is the distribution of the eigenvalues of the Laplace operator, in particular Weyl's law. He has applied techniques from analytic number theory (exponential sums)to this problem for specific manifolds e.g. Heisenberg manifolds.

Appointments
2009 Reader Mathematics University College London, United Kingdom
2007 – 2009 Lecturer Mathematics University College London, United Kingdom
JAN-2006 – 2007 Associate Professor Mathematics and Computer Science City University of New York, Lehman College, United States
2002 – DEC-2005 Assistant Professor Mathematics and Computer Science City University of New York, Lehman College, United States
2000 – 2002 Research Associate Mathematics and Statistics McGill University, Canada
JAN-1999 – 2000 Adjunct Assistant Professor Mathematics and Statistics Queen's University, Canada
1996 – DEC-1998 Postdoctoral Fellow Mathematics and Statistics McGill University, Canada
1994 – 1996 Lecturer Mathematics University of California, Santa Barbara, United States
1993 – 1994 Member   Max-Planck-Institut fuer Mathematik, Germany
1992 – 1993 Visiting Assistant Professor Mathematics Johns Hopkins University, United States
Academic Background
1993 PhD Doctor of Philosophy Stanford University
1989 MA Master of Arts Stanford University
1987 BA Bachelor of Arts University of Athens
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