Claudio Meneses

Dr. Claudio Meneses

Claudio MenesesResearch Group Geometry

Mathematisches Seminar
Christian-Albrechts-Universität Kiel
Ludewig-Meyn-Str. 4
D-24098 Kiel

Postdoctoral Fellow

meneses (at)

Phone: ++49-(0)431-880-3665
Room 324

Office Hours: by appointment




Welcome to my website.  I am a mathematician  interested in interactions  between  Complex and Symplectic Geometry,  and Mathematical Physics. My current work focuses on the  study of the  natural Kähler structures of moduli spaces of  vector bundles on Riemann surfaces, and on the way they may be reconstructed in terms of families of field theories. I am keen to explore any situation where these areas may benefit from tools and techniques of the others.


Research interests
Complex analytic geometry of moduli spaces, geometry and topology of gauge field theories.


3. Remarks on groups of bundle automorphisms over the Riemann sphere. Geom. Dedicata (2017) DOI: 10.1007/s10711-017-0309-y

2. On vector-valued Poincaré series of weight 2. J. Geom. Phys. (2017) DOI: 10.1016/j.geomphys.2017.06.004

1. On Shimura's isomorphism and (Γ,G)-bundles on the upper-half plane. In press. To appear in the Memoirs of the 2014 meeting of Mexican Mathematicians abroad, Contemporary Mathematics.


Ph.D. Thesis: Kähler potentials on the moduli space of stable parabolic bundles over the Riemann sphere. Stony Brook University (2013).



3. Differentiation matrices for meromorphic functions. (with Rafael G. Campos) Bol. Soc. Mat. Mexicana (3) 12, no. 1, (2006) 121-131.

2. Geometry of effective gauge fields. (with Jorge Martínez) J. Phys. Conf. Ser. 24 (2005), no. 1, p. 39.

1. Geometry of C-flat connections, coarse graining and the continuum limit. (with Jorge Martínez and José A. Zapata) J. Math. Phys. 46 (2005), no. 10, 102301, 18 pp. DOI: 10.1063/1.2037527

Master's thesis: Deformations of Poisson algebras. (in Spanish) UNAM, Mexico (2007).

Bachelor's thesis: Geometry of simplicial and C-flat connections. (in Spanish) UMSNH, Mexico (2005).