Yi Wang

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Address: 3400 N. Charles St., 216 Krieger Hall, Mathematics Department, Baltimore, MD, 21218

Email: ywang at math dot jhu dot edu

I completed my Ph.D. at Princeton University in 2011, under the supervision of Sun-Yung Alice Chang. Currently I am an assistant professor at Johns Hopkins University.

Research Interests: Geometric Analysis, Fully Nonlinear PDEs, Harmonic Analysis.

 

CV

 

Fall 2017: Math 109 Calculus II (Eng)

 

Publication

 

 

14. Boundary operators associated to the σk-curvature.

Preprint. (With Jeffrey Case)

 

13. Integrability of scalar curvature and normal metric on conformally flat manifolds.

Submitted. (With Shengwen Wang)

 

12. A fully nonlinear Sobolev trace inequality.

Accepted by J. Funct. Anal. (With Jeffrey Case)

 

11. Fractional Poincare inequality with finite total Q-curvature.

Accepted by Calc. Var. Partial Differential Equations. (With Yannick Sire)

 

10. Isoperimetric inequality on CR malifolds with nonnegative Q-curvature.

Accepted by Annali della Scuola Normale Superiore di Pisa. (With Paul Yang)

 

9. Totally finite Q-curvature on locally conformally flat manifolds.

Accepted by Calc. Var. Partial Differential Equations. (With Zhiqin Lu)

 

8. Approximation in fractional Sobolev spaces and Hodge systems.

Preprint. (With Pierre Bousquet, Emmanuel Russ, Po-Lam Yung)

 

7. Isoperimetric inequality, Q-curvature and Ap weights.

Adv. Math., Vol. 281, 823-844.

 

6. Some higher order isoperimetric inequalities via the method of optimal transport.

Int. Math. Res. Not. IMRN (2014) no. 24, 6619-6644. (With Sun-Yung Alice Chang)

 

5. Michael-Simon inequalities for k-th mean curvatures.

Calc. Var. Partial Differential Equations (2014), Vol. 51, no. 1, 117-138.

 

4. Inequalities for quermassintegrals on k-convex domains.

Adv. Math., Vol. 248 (2013), 335–377. (With Sun-Yung Alice Chang)

 

3. A subelliptic Bourgain-Brezis inequality.

J. Eur. Math. Soc. (JEMS), Vol. 16, Issue 4, (2014), 649–693. (With Po-Lam Yung)

 

2. On Aleksandrov-Fenchel inequalities for k-convex domains.

Milan J. Math., Vol. 79 (2011), 13-38. (With Sun-Yung Alice Chang)

 

1. The isoperimetric inequality and quasiconformal maps on manifolds with finite total Q-curvature.

Int. Math. Res. Not. IMRN (2012) no. 2, 394-422.

 

 

Seminars

 

Analysis and Partial Differential Equations Seminar, Johns Hopkins Math Dept

 

Baltimore-Washington Metro Area Differential Geometry Seminar-MADGuyS

 

 

Awards and Grants

 

•        NSF Grant 2016-2019; DMS-1612015 “Geometric Analysis in Conformal Geometry and Fully Nonlinear Elliptic Partial Differential Equations".

•        NSF Grant 2012-2015; DMS-1205350 (DMS-1547878) “Geometric Inequalities and Fully Nonlinear Elliptic Equations".

•        AMS-Simons Travel Grant 2011-2013.

•        MSRI Postdoctoral Fellow 2011 Fall, Quantitative Geometry.

•        MSRI Research Fellow 2013 Fall, Optimal Transport: Geometry and Dynamics.

 

Teaching

 

•        2017-2018, Instructor, Math 109, Johns Hopkins University.

•        2016-2017, Instructor, Math 731, Math 749, Johns Hopkins University.

•        2016-2017, Instructor, Math 443, Johns Hopkins University.

•        2015-2016, Instructor, Math 311, Johns Hopkins University.

•        2015-2016, Instructor, Math 443, Johns Hopkins University.

•        2013-2014, Instructor, Math 51, Math 258, Stanford University.

•        2012-2013, Instructor, Math 51, Stanford University.

•        2011-2012, Instructor, Math 51, 53, Stanford University.

•        2010, Instructor, MAT 104 Calculus, Freshman Scholars Institute (FSI), Princeton University.

•        2009, Instructor, MAT 201 Multivariable Calculus, Department of Mathematics, Princeton University.

•        2009, Review sessions tutor, PDE in conformal geometry, Women and Mathematics (WAM) program, Institute of Advanced Study.

•        2007, Problem sessions tutor, Topics in Elliptic PDEs / Geometric Problems, Summer Program in Geometry and Analysis, Princeton University.

 

Invited Talks and Seminars

 

•        2017 May, Geometric Properties of Local and non-Local PDEs, Oaxaca, Mexico.

•        2017 April, Geometry and Analysis on Manifolds, UC Santa Barbara.

•        2017 April, Optimal Transport and Economics, Banff, Canada.

•        2017 March, Geometry and Topology Seminar, Stony Brook University.

•        2016 October, Princeton Rutgers Joint Geometric PDE Seminar, Princeton University.

•        2016 July, Geometric and Analytic Inequalities, Banff, Canada.

•        2016 January, Connections for Women: Differential Geometry, MSRI.

•        2016 January, 2016 The Third Taiwan International Conference on Differential Geometry, Taipei.

•        2015 August, Partial Differential Equations, Oberwolfach Germany.

•        2015 June, workshop in optimal transport, University of Montpellier.

•        2015 April, 2015 Bloomington Geometry Workshop, Indiana University.

•        2015 March, Princeton-Tokyo workshop on Geometric Analysis, Tokyo University.

•        2015 February, Analysis Seminar, McGill University.

•        2014 June, thematic program on nonlinear PDEs in geometry and physics, Center for Mathematics at Notre Dame.

•        2014 April, differential geometry seminar, UC Irvine.

•        2014 April, colloquium, UC Santa Cruz.

•        2014 January, geometric analysis and PDE seminar, Johns Hopkins.

•        2013 November, colloquium, University of Minnesota.

•        2013 July, Differentialgeometrie im Großen, Oberwolfach Germany.

•        2013 July, workshop on Conformal Geometry, CRM Barcelona.

•        2013 April, workshop on Minimal Surfaces, 3-Manifold Topology and Related Topics, MIT.

•        2013 March, joint seminar of harmonic analysis and differential geometry, University of Maryland.

•        2013 March, geometric analysis seminar, Princeton University.

•        2013 March, workshop on Analysis on Metric Spaces, IPAM, UCLA.

•        2012 October, geometry seminar, Stanford University.

•        2012 July, workshop on Conformal and CR Geometry, Banff Research Center, Canada.

•        2012 May, workshop on Optimal Transportation and Differential Geometry, Banff Research Center, Canada.

•        2012 April, workshop on Minimal Surfaces, 3-Manifold Topology and Related Topics, MIT.

•        2012 February, geometry seminar, Stanford University.

•        2012 January, workshop on Mapping Theory in Metric Spaces, American Institute of Mathematics (AIM).

•        2011 November, geometric analysis seminar, UC Santa Barbara.

•        2011 September, geometry/topology seminar, Duke University

•        2011 March, seminar, Max-Planck Institute of Gravitational Physics, Potsdam, Germany.

•        2011 February, analysis and partial differential equation seminar, John Hopkins University.

•        2011 January, nonlinear analysis seminar, Rutgers University.

•        2010 December, seminar, Chinese University of Hong Kong.

•        2010 November, workshop on Geometric Probability and Optimal Transportation, Fields Institute, University of Toronto.

•        2010 June, differential equation seminar, Universitat Politecnica de Catalunya.

•        2010 May, analysis seminar, McGill University.

 

Useful Links

 

•      Mathematics Department of Princeton University

•      Music 1

•      Music 2

•      Music 3

 

Last modified on Feb 12, 2017