# Klaus Kirsten

Professor of Mathematics

Casper Faculty

(On Leave 2019-2020)

** Professor of Mathematics**
**Qualifications:**

Habilitation in Mathematical Physics, University of Leipzig, 2000

Ph.D. in Theoretical Physics, University of Kaiserslautern, 1992

**Biography:**

Dr. Kirsten joined the Baylor faculty in January 2003. Prior to
coming to Baylor he held research positions in Italy, Spain,
Germany and England. After his Ph.D. he was a visiting professor
at the University of Trento, Italy (1992-1993). He received an
Alexander von Humboldt Fellowship to do research at the University
of Barcelona, Spain (1993-1995). From there he was lured away with
a Fellowship from the German Research Foundation (DFG) to go to
the University of Leipzig, Germany (1995-1999). A Fellowship from
the Engineering and Physical Sciences Research Council enabled him
to spend time at the University of Manchester, England
(1999-2001). Finally, before coming to Baylor, he was a
post-doctoral Associate at the Max-Planck Institute for
Mathematics in the Sciences in Leipzig. Dr. Kirsten is originally
from Trier, Germany. He is married to Anja Moehring and he enjoys
all kinds of sports, hiking, languages and spending time with
friends.

**Academic Interests and Research:**

Dr. Kirsten's research is in mathematical physics. In particular,
he is interested in spectral theory of partial differential
operators, its applications in quantum field theory and its
ramifications in differential geometry.

**Selected Research Articles:**

(with P. Loya and J. Park) Functional determinants for general
self-adjoint extensions of Laplace-type operators resulting from
the generalized cone, *Manuscripta Mathematica* 125 (2008) 95-126
�

(with P. Loya and J. Park) Zeta functions of Dirac and
Laplace-type operators over finite cylinders, *Ann. Phys.* 321
(2006) 1814-1842
�

(with A.J. McKane) Functional determinants by contour integration
methods, *Ann. Phys. 308* (2003) 502-527
�

(with J.S. Dowker) Elliptic functions and temperature inversion
symmetry on spheres, *Nucl. Phys. B 638* (2002) 405-432
�

(with P.B. Gilkey and D.V. Vassilevich) Heat trace asymptotics
with transmittal boundary conditions and quantum brane-world
scenario, *Nucl. Phys. B. 601* (2001) 125-148
�

(with M. Bordag and D.V. Vassilevich) On the ground state energy
for a penetrable sphere and for a dielectric ball, *Phys. Rev. D 59*
(1999) 085011-(1-14)
�

(with M. Bordag, E. Elizalde and S. Leseduarte) Casimir energies
for massive fields in a spherical geometry, *Phys. Rev. D 56* (1997)
4896-4904
�

(with M. Bordag and E. Elizalde) Heat kernel coefficients of the
Laplace operator on the D-dimensional ball, *J. Math. Phys. 37*
(1996) 895-916

**Book:**

Spectral Functions in Mathematics and Physics, Chapman & Hall/CRC Press, Boca Raton, FL, 2002.

**Teaching Interests:**

Dr. Kirsten's teaching interests range from introductory calculus
classes to specialized courses for Ph.D. students. He (together
with P. Loya, University of Binghamton, NY) is in the process of
writing a textbook on complex analysis and its applications.

**Courses taught at Baylor:**

- MTH 1309 - Calculus for Business Students
- MTH 1321 - Calculus I
- MTH 1322 - Calculus II
- MTH 3323 - Introduction to Analysis
- MTH 3326 - Partial Differential Equations
- MTH 4329 - Complex Variables
- MTH 5340 - Differential Geometry
- MTH 5350 - Complex Analysis
- MTH 5351 - Applications of Complex Analysis
- MTH 5V92 - Special Topics in Analysis
- MTH 5V99 - Thesis
- MTH 6V24 - Advanced Topics in Applied Mathematics