Contact

Department of Mathematics University of Connecticut

341 Mansfield Road, Storrs, CT 06269-1009

email: li dot 4 dot chen at uconn.edu

About me

I am Assistant Research Professor at University of Connecticut . My mentor is Fabrice Baudoin. Before Connecticut, I was a postdoctoral researcher at Instituto de Ciencias Matematicas, Madrid where I worked with José María Martell. I received my PhD from Université Paris-Sud and The Australian National University in 2014, under the supervision of Pascal Auscher and Thierry Coulhon.

Publications and Preprints

  1. (with P. Alonso-Ruiz, F. Baudoin, L. Rogers, N. Shanmugalingam, A. Teplyaev) BV functions and Besov spaces associated with Dirichlet spaces, submitted. arXiv:1806.03428
  2. (with R. Bañuelos and F. Baudoin) Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles, submitted. arXiv:1802.02410, Video
  3. (with T. Coulhon and B. Hua) Riesz transforms for bounded Laplacians on graphs, submitted. arXiv:1708.05476
  4. (with J. M. Martell and C. Prisuelos-Arribas) Conical square functions for degenerate elliptic operators, accepted by Adv. Calc. Var. arXiv:1610.05952
  5. Hardy spaces on metric measure spaces with generalized sub-Gaussian heat kernel estimates, J. Aust. Math. Soc. 104, no. 2, 162–194, 2018. arXiv:1603.05379
  6. (with T. Coulhon, J. Feneuil and E. Russ) Riesz transform for 1≤p≤2 without Gaussian heat kernel bound, J. Geom. Anal. 27, no. 2, 1489–1514, 2017. arXiv 1510.08275
  7. Sub-Gaussian heat kernel estimates and quasi Riesz transforms for 1≤p≤2, Publ. Mat. 59, no. 2, 313–338, 2015. arXiv 1401.2279
  8. Quasi Riesz transforms, Hardy spaces and generalized sub-Gaussian heat kernel estimates, Ph.D. thesis, with the abstract in Bull. Aust. Math. Soc. 92, no. 3, 508–510, 2015.
  9. (with J. Zhao) Weyl transform and generalized spectrogram associated with quaternion Heisenberg group, Bull. Sci. Math. 136, no. 2, 127–143, 2012.

Teaching

MATH 2410Q: Elementary Differential Equations, Sections 007 and 009, Fall 2018

MATH 3160Q: Probability, Sections 001 and 004, Spring 2018

MATH 2410Q: Elementary Differential Equations, Sections 005 and 011, Fall 2017