Yi Wang 


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 SunYung Alice Chang. Currently I am an assistant
professor at Johns Hopkins University. Research Interests: Geometric
Analysis, Fully Nonlinear PDEs, Harmonic Analysis. 

Fall 2017: Math 109 Calculus II (Eng) 

Publication 16.
On the SobolevPoincare inequality of CRmanifolds.
Preprint. (With Paul Yang) 15.
Boundary operators associated to the σ_{k}curvature. Submitted. (With Jeffrey Case) 14.
Integrability of scalar curvature and normal metric on conformally flat
manifolds. Accepted by J. Differential Equations (With Shengwen Wang) 13.
Fractional Poincare inequalities in various settings. Accepted by Bruno Pini Mathematical Analysis Seminar. (With Yannick Sire) 12.
A fully nonlinear Sobolev trace inequality. Accepted by J. Funct. Anal. (With Jeffrey
Case) 11. Fractional Poincare inequality
with finite total Qcurvature. Accepted by Calc. Var. Partial
Differential Equations. (With Yannick Sire) 10.
Isoperimetric inequality on CR malifolds with
nonnegative Qcurvature. Accepted by Annali della
Scuola Normale Superiore di Pisa. (With Paul Yang) 9. Totally finite Qcurvature
on locally conformally flat manifolds. Accepted by Calc. Var. Partial Differential Equations. (With Zhiqin Lu)
8.
Approximation in fractional Sobolev spaces and
Hodge systems. Submitted. (With Pierre Bousquet, Emmanuel Russ, PoLam Yung) 7. Isoperimetric inequality, Qcurvature
and A_{p} weights. Adv. Math., Vol. 281, 823844. 6. Some higher order isoperimetric inequalities
via the method of optimal transport. Int.
Math. Res. Not. IMRN (2014) no. 24, 66196644. (With SunYung Alice Chang) 5. MichaelSimon inequalities for kth mean curvatures. Calc. Var. Partial Differential
Equations (2014), Vol. 51, no. 1, 117138. 4. Inequalities for quermassintegrals
on kconvex domains. Adv. Math., Vol. 248 (2013),
335377. (With SunYung Alice Chang) 3. A subelliptic BourgainBrezis inequality. J. Eur. Math. Soc. (JEMS), Vol. 16,
Issue 4, (2014), 649693. (With PoLam Yung) 2. On AleksandrovFenchel
inequalities for kconvex domains. Milan J. Math., Vol. 79 (2011), 1338. (With SunYung Alice Chang) 1. The isoperimetric inequality and quasiconformal maps on manifolds with finite total Qcurvature. Int. Math. Res. Not. IMRN (2012) no. 2, 394422.
Finite total Qcurvature in conformal geometry and the CR geometry. Oberwolfach ReportPartial Differential Equations, Vol. 36, 2015. Seminars Analysis and
Partial Differential Equations Seminar, Johns Hopkins Math Dept BaltimoreWashington
Metro Area Differential Geometry SeminarMADGuyS Awards
and Grants 1.
NSF Grant 20162019; DMS1612015;
"Geometric Analysis in Conformal Geometry and Fully
Nonlinear Elliptic Partial Differential Equations". 2.
NSF Grant 20122015; DMS1205350
(DMS1547878); "Geometric Inequalities and Fully Nonlinear
Elliptic Equations". 3.
AMSSimons Travel Grant 20112013. 4.
MSRI Postdoctoral Fellow 2011 Fall,
Quantitative Geometry. 5.
MSRI Research Fellow 2013 Fall,
Optimal Transport: Geometry and Dynamics. 

Teaching
20172018, Instructor, Math 109, Johns Hopkins University.
20162017, Instructor, Math 731, Math 749,
Johns Hopkins University.
20162017, Instructor, Math 443, Johns Hopkins University.
20152016, Instructor, Math 311, Johns Hopkins University.
20152016, Instructor, Math 443, Johns Hopkins University.
20132014, Instructor, Math 51, Math 258, Stanford
University.
20122013, Instructor, Math 51, Stanford University.
20112012, 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 nonLocal 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, PrincetonTokyo 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 GroÃŸen, Oberwolfach Germany.
2013 July, workshop on Conformal Geometry, CRM Barcelona.
2013 April, workshop on Minimal Surfaces, 3Manifold
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, 3Manifold
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, MaxPlanck 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 Last modified on Feb 12, 2017 
