CURRICULUM VITAE
Xin Zhou
Email: xinzhou@math.mit.edu
Phone number: +1 (650) 862 8308
Webpage: http://math.mit.edu/∼xinzhou/
Massachusetts Institute of Technology
Department of Mathematics
77 Massachusetts Avenue
Cambridge, MA 02139-4307
Research Interest: Geometric Analysis; General Relativity; Calculus of Variations
Employment:
Massachusetts Institute of Technology,
Mathematical Sciences Research Institute,
CLE Moore Instructor,
Postdoc fellow,
9/13-6/16
8/13-12/13
Education:
Stanford University,
Peking University,
Tsinghua University,
Ph.D. in mathematics,
M.S. in mathematics,
B.S. in physics and mathematics,
June 2013
June 2008
June 2006
Awards:
• NSF Grant DMS-1406337, 2014-2017
• Chinese Government Award for Outstanding Self-Financed Students Abroad, 2013
Papers:
1. X. Zhou, On the existence of min-max minimal torus, J. Geom. Anal. 20 (2010),1026-1055
2. X. Zhou, On the existence of min-max minimal surfaces of genus g ≥ 2, arXiv:1111.6206v2
3. R. Schoen and X. Zhou, Convexity of reduced energy and mass angular momentum inequalities, Ann. Henri Poincaré, 14 (2013), 1747-1773
4. X. Zhou, Mass angular momentum inequality for axisymmetric vacuum data with small
trace, Communication in Analysis and Geometry, 22, (2014) 519-571
5. X. Zhou, Min-max minimal hypersurface in (M n+1 , g) with Ricg > 0 and 2 ≤ n ≤ 6, J.
Differential Geometry, 100 (2015) 129-160
6. X. Zhou, On the free boundary min-max geodesics, accepted by International Mathematics
Research Notices, arXiv:1504.00971
7. X. Zhou, Min-max hypersurface in manifold of positive Ricci curvature, arXiv:1504.00966
8. H. Li and X. Zhou, Existence of minimal surfaces of arbitrary large Morse index, arXiv:1504.00970
9. D. Ketover and X. Zhou, Entropy of closed surfaces and min-max theory, arXiv:1509.06238
10. Y. Liokumovich and X. Zhou, Sweeping out 3-manifold of positive Ricci curvature by short
1-cycles via estimates of min-max surfaces, arXiv:1510.02896v1
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Research Talks:
• “Geometric variational theory and applications”, Differential Geometry Seminar, UC Irvine,
Nov. 2015
• “Min-max theory in Gaussian space and Entropy conjecture”, Differential Geometry Seminar, Harvard, Nov. 2015
• “On the Morse index in the min-max theory of minimal surfaces”, PDE and Differential
Geometry Seminar, University of Connecticut, September 14, 2015
• “On the Morse index in the min-max theory of minimal surfaces”, Differential Geometry &
Geometric Analysis Seminar, Princeton, April, 2015
• “Min-max hypersurface in manifold with Ricg > 0”, V Workshop on Differential Geometry,
Maceió, Brazil, March, 2015
• “Min-max hypersurface in manifold with Ricg > 0”, Differential Geometry Seminar, Harvard, Dec. 2014
• “Min-max hypersurface in manifold with Ricg > 0”, Geometric Analysis Seminar, MIT,
Sep. 2014
• “Min-max minimal hypersurface in (M n+1 , g) with Ricg > 0”, Geometric Analysis Conference, Lisbon, Portugal, July 2014
• “Min-max minimal hypersurface in (M n+1 , g) with Ricg > 0”, Brown Geometric Analysis
Seminar, March 2014
• “Min-max minimal hypersurface in (M n+1 , g) with Ricg > 0”, Berkeley Differential Geometry Seminar, Dec. 2013
• “Min-max minimal hypersurface in (M n+1 , g) with Ricg > 0”, Columbia Geometry & Analysis Seminar, Nov. 2013
• ‘Min-max minimal hypersurface in (M n+1 , g) with Ricg > 0”, UCSB Geometry Seminar,
Oct. 2013
• “On the mass angular momentum inequalities”, MSRI Postdoc Seminar, Sep. 2013
• “Min-max minimal surface of high genus”, Bay Area Differential Geometry Seminar, Stanford, May 2013
• “Min-max minimal hypersurface in (M n+1 , g) with Ricg > 0 and 2 ≤ n ≤ 6”, Stanford
Geometry Seminar, Oct. 10, 2012
• “Introduction to conformal method on vacuum constraint equations”, MSRI Mathematical
General Relativity Workshop, July, 2012
• “On the existence of min-max minimal surface of high genus”, Annual Geometric Analysis
Meeting, China, June, 2012
• “Some recent progress on mass angular momentum inequality”, Columbia General Relativity
Seminar, Dec. 2, 2011
• “Axial symmetry and mass angular momentum inequality”, Beijing Summer Program in
Mathematical Relativity 2011, June, 2011
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Teaching at MIT:
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Lecturer, 18.950: Differential Geometry, Fall 2015
Recitation leader, 18.03: Differential Equations, Spring 2015
Recitation leader, 18.02: Multivariable Calculus, Fall 2014
Recitation leader, 18.03: Differential Equations, Spring 2014
Teaching in a summer school at Peking University:
• Lecturer, Introduction to the Min-max theory of minimal surfaces, Summer 2013
Teaching at Stanford:
• Teaching Assistant, Math 51: Linear Algebra and Multivariable Calculus, Spring 2013
• Teaching Assistant, Math 51: Linear Algebra and Multivariable Calculus, Fall 2012
• Teaching Assistant, Math 53: Ordinary Differential Equations with Linear Algebra, Winter
2012
• Teaching Assistant, Math 51: Linear Algebra and Multivariable Calculus, Fall 2010
• Teaching Assistant, Math 51: Linear Algebra and Multivariable Calculus, Winter 2010
• Course Assistant, Math 161: Set theory, Fall 2011
• Course Assistant, Math 19: Calculus, Summer 2011
• Course Assistant, Math 173: Theory of Partial Differential Equations, Winter 2011
• Course Assistant, Math 217A: Differential Geometry, Spring 2010
• Course Assistant, Math 132: Partial Differential Equations II, Spring 2009
• Course Assistant Math 220: Partial Differential Equations of Applied Mathematics, Fall
2008
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