Ronggang Shi (石荣刚)

Papers

1. R. Prohaska, C. Sert, R. Shi, Expanding measures: Random walks and rigidity on homogeneous spaces, https://arxiv.org/abs/2104.09546
2. J. An, L. Guan, A. Marnat, R. Shi, Divergent trajectories on products of homogeneous spaces, Adv. Math. 390 (2021), Paper No. 107910, 33 pp.
3. R. Shi, Central limit theorem and cohomological equation on homogeneous spaces, Israel J. Math. 242 (2021), no. 2, 891–931.
4. R. Shi, Expanding cone and applications to homogeneous dynamics, Int. Math. Res. Not. IMRN 2021, no. 9, 7060–7095.
5. R. Rühr, R. Shi, Quantitative multiple pointwise convergence and effective multiple correlations, J. Differential Equations 285 (2021), 1–16.
6. E. Nesharim, R. Rühr, R. Shi, Metric Diophantine approximation with congruence conditions, Int. J. Number Theory 16 (2020), no. 9, 1923–1933.
7. (with L. Guan) Hausdorff dimension of divergent trajectories on homogeneous space, Compos. Math. 156 (2020), no. 2, 340–359.
8. (with L. Liao, O.N. Solan and N. Tamam) Hausdorff dimension of weighted singular vectors in R^2, J. Eur. Math. Soc. (JEMS) 22 (2020), no. 3, 833–875.
9. Pointwise equidistribution for one parameter diagonalizable group action on homogeneous space, Trans, Amer. Math. Soc. 373 (2020), no. 6, 4189–4221.
10. (with M. Einsiedler) Measure rigidity for solvable group actions in the space of lattices, Monatsh. Math. 189 (2019), no. 3, 421–428.
11. (with K. Fraczek and C. Ulcigrai) Genericity on curves and applications: pseudo integrable billiards, Eaton lenses and gap distributions, J. Mod. Dyn. 12 (2018), 55–122.
12. (with D. Kleinbock, B. Weiss) Pointwise equidistribution with an error rate and with respect to unbounded functions,  Math. Ann. 367 (2017), no. 1-2, 857-879.
13. (with B. Weiss)  Invariant measures for solvable groups and Diophantine approximation,  Israel J. Math. 219 (2017), no. 1, 479-505.
14. (with D. Kleinbock, G. Tomanov) S-adic version of Minkowski’s geometry of numbers and Mahler’s compactness criterion, J. Number Theory 174 (2017), 150-163.
15. (with J. Tseng) Simultaneous dense and nondense orbits and the space of lattices, Internat. Math. Res. Notices  2015, no. 21, 11276-11288.
16. Convergence of measures under diagonal actions on homogeneous spaces, Adv. Math. 229 (2012), no. 3, 1417–1434.
17. Equidistribution of expanding measures with local maximal dimension and Diophantine approximation, Monatsh. Math. 165 (2012), no. 3-4, 513–541.

Reseach

homogeneous dynamics, ergodic theory, number theory, fractal geometry

Grants

• 2013.1-2015.12: NSFC Young Scientists Fund, Grant No. 11201388, Principal Investigator.
• 2013.1-2016.12: NSFC General Program, Grant No. 11271278, Participant.
• 2019.1-2022.12: NSFC General Program, Grant No. 11871158, Principal Investigator.

Employment

• Associate Professor, SCMS Fudan University, 2020/06 - present
• Young Investigator, SCMS Fudan University, 2017/07 - 2020/06
• Associate Professor, Xiamen University, 2015/07- 2017/06.
• Assistant Professor, Xiamen University, 2009/07- 2015/07.

Education

• Ph.D. Mathematics, The Ohio State University, 2005/06–2009/06, Advisor: Manfred Einsiedler
• B.S. Mathematics, Zhejiang University (浙江大学), 2001/09–2005/06.
• Postdoc, Tel Aviv University，2013/10-2014/12
• Postdoc, Mathematical Sciences Research Institute/Berkeley, 2015/01-2015/05