Yuan-Jen Chiang specializes in global analysis and analysis on manifolds, geometry, differential equations, topology and mathematical physics. She was a recipient of a Waple Professorship in 2016-2018. She published the research book "Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields'' in the series of Frontiers in Mathematics, by Birkhauser-Springer in Europe in 2013. Her research has been published in over 30 articles in peer-reviewed journals, including, including the International Journal of Mathematics, the Journal of Geometry and Physics, the Annals of Global Analysis and Geometry, the International Journal of Mathematics and Mathematical Sciences, Proceedings of American Mathematical Society, Bulletin of Math Institute, Academia Sinica, Notices of American Mathematical Society, and Journal of Geometry. She has presented at international conferences and universities in China, France, Spain, Italy, India, Poland, Greece, Bulgaria, Taiwan, and Vietnam.
Since 1991, Dr. Chiang has been a reviewer of Mathematical Review, published monthly by the American Mathematical Society, and has written reviews for more than 120 scholarly papers on differential geometry and global analysis. Her awards include 16 UMW Faculty Research Grants, two Natural Science Foundation Grants in China, 15 Mary Washington development grants and three Jepson grants for excellence in teaching.
Areas of Expertise (5)
Global Analysis and Analysis on Manifolds
Topology and Mathematical Physics
Johns Hopkins University: Ph.D., Mathematics & Harmonic Maps 1989
Johns Hopkins University: M.A., Mathematics 1985
National Taiwan Normal University (Taipei, Taiwan): B.S., Mathematics 1979
- International Mathematics Union
- American Mathematical Society
- Mathematical Association of America.
- Johns Hopkins Alumni Association
Media Appearances (4)
Chiang Publishes Research Article in CCM
Communications in Contemporary Mathematics print
Yuan-Jen Chiang, Professor of Mathematics, has published a research article titled "Exponentially Harmonic Maps, Exponential Stress Energy and Stability" in Communications in Contemporary Mathematics by World Scientific Publisher.
Jen Chiang Published in the Journal of Geometry
Eagle Eye online
Yuan-Jen Chiang, Professor of Mathematics, published a joint research article titled “Transversal Wave Maps and Transversal Exponential Wave Maps” in the Journal of Geometry. It investigated the properties and relationship of transversal wave maps and transversal exponential wave maps.
Jen Chiang Presents at ICM, Publishes Article
Eagle Eye online
Yuan-Jen Chiang, Professor of Mathematics, presented a research paper titled “On Exponential Harmonic Maps” at the 2014 International Congress of Mathematicians (held every four years) in Seoul, South Korea. This paper has been accepted by Acta Mathematica Sinica. She also published a joint research article titled “Remarks of Transversally f-Biharmonic Maps” (refereed) by the Society of Balkan Geometry in Europe.
Chiang Publishes in American Mathematical Society Journal
Eagle Eye online
Yuan-Jen Chiang, Professor of Mathematics, publishes a joint article “Paying Tribute to James Eells and Joseph H. Sampson: In Commemoration of the 50th Anniversary of Their Pioneering Work on Harmonic Maps” in the Communications section of the April issue of the Notices of American Mathematical Society, 2015.
MATH 121 – Calculus I (3 credits)
First course in calculus. Includes functions, limits, derivatives and applications. May include some proofs.
MATH 224 – Multivariable Calculus (3 credits)
Prerequisite: MATH 122. Includes vectors in two- and three-dimensional space, vector-valued functions, functions of several variables, partial derivatives, multiple integrals and line integrals.
MATH 471, 472 – Real Analysis I, II (3 credits, 3 credits)
Prerequisite: MATH 223, 300, and at least one other 300- or 400-level mathematics course. A rigorous, real analysis approach to the theory of calculus. Only in sequence.
Transversally biharmonic maps between foliated Riemannian manifoldsInternational Journal of Mathematics
We generalize the notions of transversally harmonic maps between foliated Riemannian manifolds into transversally biharmonic maps. We show that a transversally biharmonic map into a foliated manifold of non-positive transverse curvature is transversally harmonic. ...
Exponential wave mapsJournal of Geometry and Physics
We generalize wave maps to exponential wave maps. We compute the first and second variations of the exponential energy, and obtain results concerning the stability of exponential wave maps. We prove a theorem which relates wave maps, exponential wave ...
Biharmonic maps on V-manifoldsInternational Journal of Mathematics and Mathematical Sciences
We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V-manifolds. We obtain the first and second variations of biharmonic maps on V-manifolds. Since a biharmonic map from a compact V-manifold into a Riemannian ...
Spectral geometry of V-manifolds and its application to harmonic mapsDifferential geometry: partial differential equations on manifolds
In this article we discuss the spectral geometry of V-manifolds and its application to harmonic maps which generalize the spectral geometry of Riemannian manifolds and the theory of harmonic maps of Riemannian manifolds which was established by J. Eells and ...
Harmonic maps of V-manifoldsAnnals of Global Analysis and Geometry
The purpose of this paper is to generalize the theory of harmonic maps of riemannian manifolds which was established by J. Eells and JH Sampson [ES] to the case of V-manifolds (due to Satake [Sat 1, 2]). Let M, N be two compact smooth riemannian manifolds of dimension n, r with ...