Brief Narrative Research Resume
- In 1988: Ph. D in the
University of California at Berkeley
under the supervision of
Alan Weinstein with my thesis entitled
``Semi-classical bound states of nonlinear Schroedinger equations
under potentials ; existence, evolution and stability''.
With this thesis, I received the Bernard Friedman Memorial Prize
in Applied Math. at the Commencement of UC-Berkeley in May 1988.
- For the year 1988-1989 : post-doc member of
MSRI where I started
to work on various aspects of
Lagrangian submanifolds in
symplectic geometry and Riemannian geometry. During this time,
I wrote one more paper on nonlinear Schroedinger equation
started my research on the geometry and topology of Lagrangian
I wrote the paper on minimal Lagrangian submanifolds and did some
preliminary work on my attempt to generalize the definition of
Lagrangian intersection Floer cohomology beyond
Floer's original construction.
- For the years 1989 - 1991 : Courant Instructor in
Courant Institute of New York University.
first work on Lagrangian intersection Floer cohomology is completed. Two
papers on the subject were published in Comm. Pure Applied Math.
a year later.
Andreas Floer died in Spring 1991.
- In 1991-1992 : a member of
Institute for Advanced Study in Princeton where
research on the Floer theory is continued.
- Since 1992, I have been
in the University of Wisconsin
at Madison starting as a tenure-track Assistant Professor.
I was promoted to Associate Professor in 1997 and to Professor in 2001.
- In the fall of 1994 :
I took one semester un-paid leave for the
program ``Symplectic Geometry'' in the
in Cambridge, England with the EPSRC visiting fellowship.
Here I completed my paper on application of the
Floer homology to the study of topology of Lagrangian embeddings
and initiated the study of adiabatic degeneration of the Floer
moduli spaces with
Kenji Fukaya .
- For the years 1998-2000 : A leave for the professorship in
the Korea Insitute for Advanced Study
KIAS) in Seoul, Korea,
where the study of spectral
invariants of Hamiltonian flow is started.
- In the year 2001-2002 : A leave
for the participation in the program
``Holomorphic curves and Symplectic geometry'' in IAS,
I continued the research on the spectral invariants and
completed a series of papers on the subject of spectral invariants
their applications which led me to the new research topic of
topological Hamiltonian dynamical systems .
- In 2004-2005 : A sabbatical leave in
Stanford University ,
where I started my project of writing a graduate level textbook
on Floer homology theory and its applications.
- I also spent some summers in
IHES, France in 1992 and 1997.
Around this time, the project of writing the research
Lagrangian Intersection Floer theory : anomaly and obstruction
in collaboration with K. Fukaya, H. Ohta and K. Ono is started.
The first preprint version is finished in the year 2000.
- The years 1998 - 2008 : I have been spending most of my summer time in KIAS, Seoul, Korea.
- In August 2006 : An invited lecture with a title
``Floer homology in symplectic geometry and mirror symmetry''
in the session (Geometry) of
the International Congress of Mathematicians
(ICM-2006) held in Madrid, Spain for August 22 - 30, 2006.
- In 2008 : A new collaboration
with Fukaya, Ohta and Ono is started on the project of applying the Floer
theory from [FOOO] to the toric manifolds.
- In August 2008, the final version of the
book ``Lagrangian intersection Floer theory :
anomaly and obstruction'' [FOOO] is completed.
- In Fall 2009, I took an unpaid leave in National Institute
for Mathematical Sciences
in Korea to serve as a visiting chair professor
and ran a thematic program of ``Symplecic Topology and
- Starting from Summer 2010, I am affiliated to
a (part-time) University Distinguished Professor.