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 associate
professor at Johns Hopkins University. Research
Interests: Geometric Analysis, Fully Nonlinear PDEs, Harmonic Analysis. 



Publication 21.
The Yamabe flow on asymptotically flat manifolds. arxiv Submitted. (With Eric Chen) 20.
The Dirichlet principle for the complex kHessian
functional. arxiv Submitted. (With Hang Xu) 19. SunYung Alice Chang and
geometric analysis. Notices of the AMS., March 2020. (With Matthew Gursky) 18.
On a fully nonlinear sharp Sobolev trace
inequality. arxiv Accepted by Journal of Mathematical Study. (With Jeffrey Case) 17. Nonuniqueness for
a fully nonlinear boundary Yamabetype problem via
bifurcation theory. arxiv Calc. Var. Partial Differential Equations, (2019) 58:106. (With
Jeffrey Case and Ana Claudia Moreira) 16. On the SobolevPoincare
inequality of CRmanifolds. arxiv Int. Math. Res. Not. IMRN. (2012) no. 18, 56615678. (With Paul Yang) 15. Boundary operators associated to the σ_{k}curvature. arxiv Adv. Math., Vol. 337, 83106. (With Jeffrey Case) 14.
Approximation in fractional Sobolev spaces and
Hodge systems. arxiv J. Funct.
Anal. 276 (2019), no. 5, 14301478. (With Pierre Bousquet, Emmanuel Russ,
PoLam Yung) 13. Integrability of scalar curvature and normal
metric on conformally flat manifolds. arxiv J. Differential Equations 265 (2018), no. 4, 13531370. (With Shengwen Wang) 12. Fractional Poincare inequalities in various
settings. pdf Bruno Pini Mathematical Analysis Seminar
2017, 4354. (With Yannick Sire) 11. A Dirichlet's principle for the kHessian. arxiv J. Funct. Anal. 275 (2018), no. 11,
28952916. (With Jeffrey Case) 10.
Fractional Poincare inequality with finite total Qcurvature. arxiv Calc. Var. Partial
Differential Equations 56 (2017), no. 2, Art. 35, 18 pp. (With Yannick Sire) 9.
Isoperimetric inequality on CR malifolds with
nonnegative Qcurvature. arxiv Annali della Scuola Normale Superiore di Pisa (5)
18 (2018), no. 1, 343362. (With Paul Yang) 8.
On locally conformally flat manifolds with finite total Qcurvature.
arxiv Calc. Var. Partial Differential Equations (2017), no. 4, Art. 98, 24
pp. (With Zhiqin Lu) 7. Isoperimetric inequality, Qcurvature
and A_{p} weights. arxiv Adv. Math., Vol. 281, 823844. 6. Some higher order isoperimetric inequalities
via the method of optimal transport. arxiv Int. Math. Res. Not. IMRN (2014) no. 24, 66196644. (With SunYung
Alice Chang) 5. MichaelSimon inequalities for kth mean curvatures. arxiv Calc. Var. Partial Differential
Equations (2014), Vol. 51, no. 1, 117138. 4. Inequalities for Quermassintegrals on kconvex
domains. pdf Adv. Math., Vol. 248 (2013),
335377. (With SunYung Alice Chang) 3. A subelliptic BourgainBrezis inequality. arxiv J. Eur. Math. Soc. (JEMS), Vol. 16,
Issue 4, (2014), 649693. (With PoLam Yung) 2. On AleksandrovFenchel
inequalities for kconvex domains. pdf Milan J. Math., Vol. 79 (2011), 1338. (With SunYung Alice Chang) 1. The isoperimetric inequality and quasiconformal maps on manifolds with finite total Qcurvature.
arxiv Int. Math. Res. Not. IMRN (2012) no. 2, 394422. Finite total Qcurvature in conformal geometry
and the CR geometry. pdf
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 CAREER AWARD 20192024; DMS1845033; “Conformal Geometry
and MongeAmpere Type Equations". 2. NSF Grant 20162019; DMS1612015; “Geometric Analysis in
Conformal Geometry and Fully Nonlinear Elliptic Partial Differential
Equations". 3. NSF Grant 20122015; DMS1205350 (DMS1547878); “Geometric
Inequalities and Fully Nonlinear Elliptic Equations". 4. AMSSimons Travel Grant 20112013. 5. MSRI Postdoctoral Fellow 2011 Fall, Quantitative Geometry. 6. MSRI Research Fellow 2013 Fall, Optimal Transport: Geometry and
Dynamics. 

Teaching 20192020, Instructor, Math 311 Methods of Complex Analysis, Johns Hopkins University.
20192020, Instructor, Math 607 Complex Variables, Johns Hopkins University.20192020, Instructor, Math 749 Topics in Differential Geometry, Johns Hopkins University.20182019, Instructor, Math 631 Partial
Differential Equations, Johns Hopkins University.
20182019, Instructor, Math 109 Calculus II, Johns
Hopkins University. 20172018, Instructor, Math 109 Calculus II, Johns
Hopkins University. 20162017, Instructor, Math 731 Topics in Geometric Analysis, Math 749
Topics in Differential Geometry, Johns Hopkins University. 20162017, Instructor, Math 443 Fourier Analysis , Johns
Hopkins University. 20152016,
Instructor, Math 311 Complex Analysis, Johns Hopkins University. 20152016,
Instructor, Math 443 Fourier Analysis, 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 2020 October, Fall Eastern Sectional Meeting, Special Session on Variational Aspects of Geometric Analysis (formerly at Pennsylvania State University). 2020 September, Geometric and Functional Inequalities and Applications Seminar (virtual). 2020 January, TaipeiHsinchu Conference
on Geometric Invariance and Partial Differential Equations, Taiwan. 2019 October, Recent advances in
nonlinear problems, CUNY Graduate Center, New York. 2019 May, AIM workshop on Symmetry and
convexity in geometric inequalities, The American Institute of Mathematics
(AIM), San Jose, California. 2019 May, Geometry Festival, University
of Maryland. 2018 October, UCIUCSDUCR joint seminar,
University of California, Irvine. 2018 June 1115, Nonlinear PDEs in
Geometry and Physics, Cortona, Italy. 2018 April 11, Geometry Lunch Seminar,
Penn State University. 2018 April 5, Colloquium, Penn State
University. 2018 January, Taipei Conference on
Geometric Invariance and Partial Differential Geometry, Taiwan. 2017 December, SIAM Conference on
Analysis of Partial Differential Equations, Baltimore, Maryland. 2017 November, AIM Workshop on Analysis
and geometry on pseudohermitian manifolds, The American Institute of
Mathematics (AIM), Palo Alto, California. 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 Grossen, 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 November, 2019 
