Xiaonan Ma (
Chinese: 麻小南; born 1972) is a Chinese
mathematician working in global analysis and local index theory.
Career
Xiaonan Ma obtained his Bachelor-Diploma from the University of Wuhan and received his Ph.D. in 1998 under the direction of
Jean-Michel Bismut at the
University of Paris-Sud with a thesis entitled Formes de torsion analytique et familles de submersions.[1] He was a researcher at the French National Centre for Scientific Research
CNRS from 2001 to 2007, working at the Centre de Mathématiques Laurent Schwartz of the École Polytechnique. After the habilitation in 2005 (Théorie de l'indice local et applications) he became a professor at the
University Paris VII (Denis Diderot) in 2007.[2]
Xiaonan Ma had a postdoctoral position in the group of Jochen Brüning at the Humboldt University of Berlin and was visiting Professor at the University of California, Santa Cruz. He was junior member of the Institut universitaire de France from 2009 to 2014. He is member of the international Faculty of the University of Cologne.[3]
Research
The research themes of Xiaonan Ma encompass global analysis and local Atiyah–Singer–index theory (analytic Ray–Singer torsion, Eta forms,
elliptic genera), Bergman kernels and geometric quantization. He is editor of Science in China A (Mathematics)[4] and of International Journal of Mathematics.[5]
with G. Marinescu: Holomorphic Morse inequalities and Bergman kernels, Birkhäuser, Progress in Mathematics 254, 2007.
ISBN978-3-7643-8096-0[11][12]
with W. Zhang: Bergman kernels and symplectic reduction, Astérisque, tome 318, 2008.
ISBN978-2-85629-255-6[13]
editor with X. Dai, R. Léandre, W. Zhang: From Probability to Geometry. Volume in honor of the 60th birthday of Jean-Michel Bismut, 2 vols., Astérisque 327, 328, 2009.
ISBN978-2-85629-288-4[14]
editor with Jean-Benoit Bost, Helmut Hofer,
Francois Labourie,
Yves Le Jan, Weiping Zhang: Geometry, analysis and probability – in honor of Jean-Michel Bismut, Progress in Mathematics 310, Birkhäuser 2017.
ISBN978-3-319-49638-2[15]
Brüning, J.; Ma, X. (2006). "An anomaly formula for Ray–Singer metrics on manifolds with boundary". Geometric and Functional Analysis. 16 (4): 767–837.
doi:
10.1007/s00039-006-0574-7.
S2CID122144793.