**Research Works**

- Half
density volumes of representation spaces of some 3-manifolds and their
application (pdf.file)

- Duke Mathematical Journal, vol. 86-3 (1997) p. 493-515 - Jeffrey-Weitsman-Witten
invariant of Seifert fibred manifolds (pdf.file)

- Proceedings of the Third Pacific Rim Geometry Conference, International Press (1998) p. 319-323 - Relative
zeta-determinant and Adiabatic decomposition of the zeta-determinant of
the Dirac Laplacian (with K. Wojciechowski) (pdf.file)

- Letters in Mathematical Physics, vol. 52 (2000) p. 329-337 - On
the Isospectra and Isometries of the Aloff-Wallach Spaces (with D. Joe, Y.
Lee and J.S. Ryu) (pdf.file)

- Bulletin of Korean Mathematical Society, vol. 38-2 (2001) p. 413-425 - Adiabatic
decomposition of the zeta-determinant of the Dirac Laplacian I. The case
of invertible tangential operator, with an appendix by Y. Lee (with K.
Wojciechowski) (pdf.file)

- Communications in Partial Differential Equations, vol. 27 (2002) p. 1407-1435 - Analytic
Surgery of the zeta-determinant of the Dirac operator (with K.
Wojciechowski) (pdf.file)

- Nuclear Physics B. Proc. Supp. vol. 104 (2002) p. 89-115 - Scattering
theory and Adiabatic decomposition of the zeta-determinant of the Dirac
Laplacian (with K. Wojciechowski) (pdf.file)

- Mathematical Research Letters, vol. 9 (2002) p. 17-25 - Determinant
bundles, boundaries, and surgery (with U. Bunke) (pdf.file)

- Journal of Geometry and Physics, vol. 52 (2004) p. 28-43 - Decomposition
of the zeta-determinant for the Laplacian on manifolds with cylindrical
end (with P. Loya) (pdf file)

- Illinois Journal of Mathematics, vol. 48 (2004) p. 1279-1303 - The
zeta-determinant of generalized APS boundary problems over the cylinder
(with P. Loya) (pdf file)

- Journal of Physics A, vol.37 (2004) p. 7381-7392 - Eta
invariants and regularized determinants for odd dimensional hyperbolic
manifolds with cusps (pdf
file)

- American Journal of Mathematics, vol. 127 (2005) p. 493-534 - Adiabatic
decomposition of the zeta-determinant and the Dirichlet to Neumann
operator (with K. Wojciechowski) (pdf
file)

- Journal of Geometry and Physics, vol. 55 (2005) p. 241-266 - Agranovich-Dynin
formula for the zeta determinants of the Neumann and Dirichlet problems
(with K. Wojciechowski) (pdf file)

- Contemporary Mathematics, vol. 366 (2005) p.109-121 - On
gluing formulae for the spectral invariants of Dirac type operators (with P. Loya) (pdf
file)

- Electronic Research Announcements of Amer. Math. Soc., vol. 11 (2005) p. 1-11 - On
the gluing problem for Dirac operators on manifolds with cylindrical ends
(with P. Loya) (pdf file)

- Journal of Geometric Analysis, vol. 15 (2005) p.285-319 - Functional
determinants for the Dirac equation with mixed pseudodifferential boundary
conditions over finite cylinders (with P. Loya) (pdf file)

- Journal of Mathematical Physics, vol. 46-4 (2005) p. 042309 (1-13) - Zeta
determinants of Laplacians with Neumann and Dirichlet boundary conditions
(with P. Loya) (pdf file)

- Journal of Physics A, vol. 38 (2005) p. 8967-8977 - Adiabatic
Decomposition of the zeta-determinant and Scattering Theory (with K.
Wojciechowski) (pdf
file)

- Michigan Mathematical Journal, vol. 54 (2006) p. 207-238 - On
the gluing problem for the spectral invariants of Dirac operators (with P. Loya) (pdf
file)

- Advances in Mathematics, vol. 202 (2006) p. 401-450 - Relative
formulae for the spectral invariants of the b-calculus and generalized APS
boundary problems of Dirac operators (with P. Loya) (pdf
file)

- Pacific Journal of Mathematics, vol. 223 (2006) p. 317-331 - Boundary
problems for Dirac type operators on manifolds with multi-cylindrical end
boundaries (with P. Loya)
(pdf
file)

- Annals of Global Analysis and Geometry, vol. 29 (2006) p. 103-144 - The
very unusual properties of the resolvent, heat kernel, and zeta function
for the operator -d^2/dr^2 - 1/(4r^2) (with K. Kirsten and P. Loya ) (pdf
file)

- Journal of Mathematical Physics, vol. 47 (2006) p. 043506 (1-27) - Gluing
formulae of spectral invariants and Cauchy data spaces (pdf
file)

- Analysis, Geometry and Topology of Elliptic Operators, World Scientific, London and Singapore (2006) p. 23-38 - Zeta
functions of Dirac and Laplace-type operators over finite cylinders (with K. Kirsten and P. Loya ) (pdf file)

- Annals of Physics, vol. 321 (2006) p. 1814-1842 - Zeta
Regularized Determinants for Conic Manifolds (with P. Loya and P. Mcdonald) (pdf file)

- Journal of Functional Analysis, vol. 242 (2007) p. 195-229 - Analytic
torsion for hyperbolic manifolds with cusps (pdf file)

- Proc. Japan Acad. Ser. A Math. Sci. vol. 83 (2007) p. 141-143 - Functional
determinants for general self-adjoint extensions of Laplace-type operators
resulting from the generalized cone (with K. Kirsten and P. Loya ) (pdf
file)

- Manuscripta Mathematica, vol. 125 (2008) p. 95-126 - Ruelle
zeta function for odd dimensional hyperbolic manifolds with cusps (with Y.
Gon ) (pdf
file)

- Proc. Japan Acad. Ser. A Math. Sci. vol. 84 (2008) p. 1-4 - Exotic
expansions and pathological properties of zeta-functions on conic
manifolds, with an appendix by B. Vertman (with K. Kirsten and P. Loya ) (pdf file)

- Journal of Geometric Analysis, vol. 18 (2008) p. 835-888 - The
ubiquitous zeta-function and some of its usual and unusual meromorphic
properties (with K.
Kirsten and P. Loya
) (pdf file)

- Journal of Physics A, vol. 41 (2008) p. 164070 (1-11) - Adiabatic
limit of the eta invariant over cofinite quotients of PSL(2,R) (with S. Moroianu and P. Loya ) (pdf
file)

- Compositio Mathematica, vol. 144 (2008) p. 1593-1616 - Analytic
torsion and Ruelle zeta functions for hyperbolic manifolds with cusps (pdf
file)

- Journal of Functional Analysis, vol. 257 (2009) p. 1713-1758 - The
zeta functions of Ruelle and Selberg for hyperbolic manifolds with cusps (
with Y.
Gon ) (pdf
file)

- Mathematische Annalen, vol. 346 (2010) p. 719-767 - Ruelle
zeta function and prime geodesic theorem for hyperbolic manifolds with
cusps (pdf
file)

- Proceedings of conference "Casimir force, Casimir operators and the Riemann hypothesis", de Gruyter (2010) p. 89-104. - Eta
invariant and Selberg zeta function of odd type over convex co-compact
hyperbolic manifolds (with C.
Guillarmou and S. Moroianu
) (pdf
file)

- Advances in Mathematics, vol. 225 (2010) p. 2464-2516. - Regularity
of the eta function on manifolds with cusps (with S. Moroianu and P. Loya ) (pdf file)

- Mathematische Zeitschrift, to appear.