Xin Zhou

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CURRICULUM VITAE
Xin Zhou
Email: xinzhou@math.mit.edu
Webpage: http://math.mit.edu/∼xinzhou/
Massachusetts Institute of Technology
Department of Mathematics
77 Massachusetts Avenue
Cambridge, MA 02139-4307
Appointments:
Massachusetts Institute of Technology,
CLE Moore Instructor,
Mathematical Sciences Research Institute,
Postdoc fellow,
9/13-6/16
8/13-12/13
Education:
Tsinghua University,
B.S. in physics and mathematics,
June 2006
Peking University,
M.S. in mathematics,
June 2008
Stanford University,
Ph.D. in mathematics,
June 2013
Publication:
1. X. Zhou, On the existence of min-max minimal torus, J. Geom. Anal. 20 (2010),10261055
2. X. Zhou, On the existence of min-max minimal surfaces of genus g ≥ 2, preprint, arXiv:
1111.6206
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
Awards:
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• Chinese Government Award for Outstanding Self-Financed Students Abroad, 2013
• NSF Grant DMS-1406337, 2014-2017
Presentations:
• “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
Teaching at MIT:
• Lecturer, 18.950: Differential Geometry, Fall 2015
2
• 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 at Stanford:
• 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
References:
Richard Schoen (Advisor)
Department of Mathematics
Stanford University
Stanford, CA 94305-2125
schoen@math.stanford.edu
Tobias Colding
Massachusetts Institute of Technology
Department of Mathematics
77 Massachusetts Avenue
Cambridge, MA 02139-4307
colding@math.mit.edu
William Minicozzi
Massachusetts Institute of Technology
Department of Mathematics
77 Massachusetts Avenue
Cambridge, MA 02139-4307
minicozz@math.mit.edu
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