Arbeitsgruppe Geometrische Analysis

• Dr. Bingxiao Liu
  

• Dr. Nikhil Savale
  

• Wei-Chuan Shen
  

• Dominik Zielinski
  

Sekretariat

• Vera Sausen
  Phone 0221-470 6925,
  email: vsausen at math

  
  

Ehemalige Mitarbeiter

• Dr. Brice Camus Research Assistant 2007

• Dr. Matjaz Erat Wissenschaftlicher Mitarbeiter 2006-2012

• Dr. Hendrik Herrmann (PhD student between 2013-2018, awarded September 2018) Komplexe Analysis, Bergische Universität Wuppertal

• Dr. Chin-Yu Hsiao (Research Assistant between 2009-2013) Professor at Institue of Mathematics, Academia Sinica

• PD Dr. William Kirwin (Research Assistant in SFB|TR 12 between 2011-2015)

• Dr. Semyon Klevtsov (Humboldt Fellow 2013-2015, Wissenschaftlicher Mitarbeiter 2016-2017, DFG eigene Stelle 2018-2020) Professor at the Université de Strasbourg

• Dr. Frank Lapp Wissenschaftlicher Mitarbeiter 2014-2017

• Dr. Bo Liu (Research Assistant 2014-2015) Professor at East China Normal University, Shanghai

• Dr. Wen Lu ( PhD student between 2010-2013, awarded April 2013) School of Mathematics and Statistics, Huazhong University of Science and Technology

• Dr. Stephan Gareis (PhD student between 2012-2015, awarded June 2015)

• Dr. Nikita Nemkov Wissenschaftliche Mitarbeiter 2017-2020

• Dr. Mihaela Pilca Wissenschaftliche Mitarbeiterin 2014-2015

• Dipl.-Math. Viktoria Schmidt

• Dr. Viet Duc Vu (Humboldt Fellow 2018-2021) Professor at the University of Cologne

• Dr. Huan Wang PhD student between 2012-2016, awarded May 2016

Publikationen:

1. B. Camus, Semiclassical spectral estimates for Schröodinger operators at a critical energy level. Case of a degenerate minimum of the potential
   J. Math. Anal. Appl. 341 (2008), No. 2, 1170-1180

2. C.-Y. Hsiao and G. Marinescu, Szegö kernel asymptotics and Morse inequalities on CR manifolds
   Math. Z. 271 (2012), 509–553
   arXiv:1005.5471

3. T.-C. Dinh, V. Schmidt and G. Marinescu, Equidistribution of zeros of holomorphic sections in the non compact setting
   J. Stat. Phys., 148 (2012), no. 1, 113-136
   arXiv:1106.5244

4. C.-Y. Hsiao, On the coefficients of the asymptotic expansion of the kernel of Berezin-Toeplitz quantization
   Ann. Glob. Anal. Geom., 42 (2012), no. 2, 207-245
   arXiv:1108.0498

5. C.-Y. Hsiao and G. Marinescu, Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
   Comm. Anal. Geom. 22 (2014), No. 1, 1–108
   arXiv:1112.5464

6. Brian C. Hall and W. Kirwin, Complex structures adapted to magnetic flows
   arXiv:math.SG/1201.2142

7. W. Kirwin, J. P. Nunes and J. M. Mourão, Complex time evolution in geometric quantization and generalized coherent state transforms
   J. Func. Anal. 265 (2013), 1460-1493
   arxiv:math.DG/1203.4767

8. C.-Y. Hsiao, Existence of CR sections for high power of semi-positive rigid Heisenberg line bundles over compact Heisenberg manifolds
   arXiv:1204.4810.

9. W. Lu, Morse-–Bott inequalities in the presence of a compact Lie group action and applications
   Differential Geometry and its Applications 32(2014), 68–87
   arXiv:1205.3437

10. W. Lu, A Thom-Smale-Witten theorem on manifolds with boundary
    arXiv:1205.4665

11. C.-Y. Hsiao, The second coefficient of the asymptotic expansion of the weighted Bergman kernel for (0,q) forms on C^n
    arXiv:1208.3818

12. W. Kirwin, J. P. Nunes and J. M. Mourão,Coherent state transforms and the Mackey-Stone-Von Neumann theorem
    arXiv:1211.2145
    

13. W. Lu, The second coefficient of the asymptotic expansion of the Bergman kernel of the Hodge-Dolbeault operator
    J. Geom. Anal. 25 (2015), 25-63
    arXiv:1212.6034

14. C.-Y. Hsiao and P.-L. Yung, The tangential Cauchy-Riemann complex on the Heisenberg group via conformal invariance
    arXiv:1303.6547

15. C.-Y. Hsiao and P.-L. Yung, Solving Kohn Laplacian on asymptotically flat pseudohermitian 3-manifolds
    arXiv:1303.6557

16. S. Klevtsov, Random normal matrices, Bergman kernel and projective embeddings
    Journal of High Energy Physics, 2014:133
    arXiv:1309.7333

17. A. Bilal, F. Ferrari, S. Klevtsov, 2D quantum gravity at one loop with Liouville and Mabuchi actions
    Nuclear Physics B, 880(2014), 203–224

18. C.-Y. Hsiao, Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds
    arXiv:1401.6647

19. S. Klevtsov, S. Zelditch, Stability and integration over Bergman metrics
    arXiv:1404.0659

20. C.-Y. Hsiao and G. Marinescu, On the singularities of the Szegö projections on lower energy forms
    arXiv:1407.6305
    

21. W. Kirwin, Quantizing the geodesic flow via adapted complex structures
    arXiv:1408.1527
    

22. F. Ferrari, S. Klevtsov, FQHE on curved backgrounds, free fields and large N
    arXiv:1410.6802

23. W. Kirwin, J. P. Nunes and J. M. Mourão, Complex symplectomorphisms and pseudo-Kähler islands in the quantization of toric manifolds
    arXiv:1411.2793
    

24. S. Klevtsov, P. Wiegmann, Precise adiabatic transport and geometry of quantum Hall states
    arXiv:1504.07198

25. S. Klevtsov, S. Zelditch, Heat kernel measures on random surfaces
    arXiv:1505.05546

26. B. Liu, Fuctoriality of equivariant eta forms
    arXiv:1505.04454

27. H. Wang, On the growth of von Neumann dimension of harmonic spaces of semipositive line bundles over covering manifolds
    arXiv:1505.04322

28. S. Klevtsov, Xiaonan Ma, George Marinescu, Paul Wiegmann, Quantum Hall effect, Quillen metric and holomorphic anomaly
    arXiv:1510.06720

29. Hendrik Herrmann, Chin-Yu Hsiao, Xiaoshan Li, Szegö kernel expansion and embedding of Sasakian manifolds
    arXiv:1512.03952