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 associate professor at Johns Hopkins University.
Research Interests: Geometric Analysis, Fully Nonlinear PDEs, Harmonic Analysis.
20. The Dirichlet principle for the complex k-Hessian functional. Preprint. (With Hang Xu)
19. Sun-Yung Alice Chang and geometric analysis. To appear in Notices of the AMS. (With Matthew Gursky)
Submitted. (With Jeffrey Case)
Calc. Var. Partial Differential Equations, (2019) 58:106. (With Jeffrey Case and Ana Claudia Moreira)
Accepted by Int. Math. Res. Not. IMRN. (With Paul Yang)
Adv. Math., Vol. 337, 83-106. (With Jeffrey Case)
J. Funct. Anal. 276 (2019), no. 5, 1430-1478. (With Pierre Bousquet, Emmanuel Russ, Po-Lam Yung)
J. Differential Equations 265 (2018), no. 4, 1353-1370. (With Shengwen Wang)
Bruno Pini Mathematical Analysis Seminar 2017, 43-54. (With Yannick Sire)
J. Funct. Anal. 275 (2018), no. 11, 2895-2916. (With Jeffrey Case)
Calc. Var. Partial Differential Equations 56 (2017), no. 2, Art. 35, 18 pp. (With Yannick Sire)
Annali della Scuola Normale Superiore di Pisa (5) 18 (2018), no. 1, 343-362. (With Paul Yang)
Calc. Var. Partial Differential Equations (2017), no. 4, Art. 98, 24 pp. (With Zhiqin Lu)
Adv. Math., Vol. 281, 823-844.
Int. Math. Res. Not. IMRN (2014) no. 24, 6619-6644. (With Sun-Yung Alice Chang)
Calc. Var. Partial Differential Equations (2014), Vol. 51, no. 1, 117-138.
Adv. Math., Vol. 248 (2013), 335-377. (With Sun-Yung Alice Chang)
J. Eur. Math. Soc. (JEMS), Vol. 16, Issue 4, (2014), 649-693. (With Po-Lam Yung)
Milan J. Math., Vol. 79 (2011), 13-38. (With Sun-Yung Alice Chang)
Int. Math. Res. Not. IMRN (2012) no. 2, 394-422.
Finite total Q-curvature in conformal geometry and the CR geometry. pdf
Oberwolfach Report-Partial Differential Equations, Vol. 36, 2015.
Awards and Grants
1. NSF CAREER AWARD 2019-2024; DMS-1845033; “Conformal Geometry and Monge-Ampere Type Equations".
2. NSF Grant 2016-2019; DMS-1612015; “Geometric Analysis in Conformal Geometry and Fully Nonlinear Elliptic Partial Differential Equations".
3. NSF Grant 2012-2015; DMS-1205350 (DMS-1547878); “Geometric Inequalities and Fully Nonlinear Elliptic Equations".
4. AMS-Simons Travel Grant 2011-2013.
5. MSRI Postdoctoral Fellow 2011 Fall, Quantitative Geometry.
6. MSRI Research Fellow 2013 Fall, Optimal Transport: Geometry and Dynamics.
2019-2020, Instructor, Math 311 Methods of Complex Analysis, Johns Hopkins University.
2019-2020, Instructor, Math 607 Complex Variables, Johns Hopkins University.
2019-2020, Instructor, Math 749 Topics in Differential Geometry, Johns Hopkins University.
2018-2019, Instructor, Math 631 Partial Differential Equations, Johns Hopkins University.
2018-2019, Instructor, Math 109 Calculus II, Johns Hopkins University.
2017-2018, Instructor, Math 109 Calculus II, Johns Hopkins University.
2016-2017, Instructor, Math 731 Topics in Geometric Analysis, Math 749 Topics in Differential Geometry,
Johns Hopkins University.
2016-2017, Instructor, Math 443 Fourier Analysis , Johns Hopkins University.
2015-2016, Instructor, Math 311 Complex Analysis, Johns Hopkins University.
2015-2016, Instructor, Math 443 Fourier Analysis, 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
2020 January, Taipei-Hsinchu 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, UCI-UCSD-UCR joint seminar, University of California, Irvine.
2018 June 11-15, 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 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.
Last modified on November, 2019