Qinglan
Xia
Personal
- Citizenship:
China, U.S. permanent resident
- Address:
Department of Mathematics,University of California at Davis,
Davis, CA, 95616
- Phone:
1-530-752-1084, Fax: 1-530-752-6635
- E-mail:
qlxia@math.ucdavis.edu
- Webpage:
http://www.math.ucdavis.edu/~qlxia
Research Interests
- Geometric
measure theory and its application.
- Optimal
mass transport problems
- Mathematical
Biology
- Geometric
variational problems in singular spaces.
Employment
- Tenure-track
Assistant Professor at University of California at Davis, Department of
Mathematics. July 2005~present.
- Instructor
at University of Texas at Austin, Department
of Mathematics, 2002~2005.
Education
- Rice University, Houston, Texas,
1997-2002.
- Ph.D. in
Mathematics, May 2002
- Thesis Title: Variational
Problems in Intersection Homology Theory and Optimal Transport
- Thesis Advisor: Professor Robert Hardt
- University
of
Science and Technology of China, Hefei, China, 1994-1997
- Master of Science in Mathematics, July
1997
- Anhui Normal
University, Wuhu, Anhui, China,
1990-1994
- Bachelor of
Science in Mathematics Education, July 1994
Awards and Grants
- National
Science Foundation Grant: DMS-0710714, 2007-2010.
- National
Science Foundation Grant: DMS-0607107, 2006-2007.
- National
Science Foundation Grant: DMS-0306686,
2003~2005.
- Graduate
fellowships, Rice University, 1997-2002
- Graduate
fellowships, USTC, 1994-1997
- Guanghua
Scholarship, USTC, 1996
- Several
undergraduate scholarships, Anhui Normal University,1990-1994
Invited Talks (selected)
- Optimal transport
paths between probability measures, and beyond. UC Irvine, May 2008.
- Optimal transport
paths and their applications, Workshop on "Optimal transportation",
held in IPAM, March and April, 2008.
- Geodesics between
probabilty measures and the dimensional distance. Workshop on
“Shape Analysis for Eigenvalues”, held in Mathematisches Forschungsingstitut
Oberwolfach, Germany (April 2007).
- A mathematical
theory of ramified transportation. Workshop at the Institute for Pure
and Applied Mathematics, UCLA, (April 2007).
- A mathematical
theory of ramified transportation. University of Science and Technology
of China, September 2006.
- A mathematical
theory of ramified transportation. Shanghai Jiaotong University,
China, September 2006.
- A mathematical
theory of ramified transportation. Rice University, August 2006.
- On the formation
of tree leaves. Workshop on “Calculus of
Variations”, held in Mathematisches
Forschungsingstitut Oberwolfach, Germany (July 2006).
- Ramified mass
transportation and its applications. AMS sectional meeting. San
Francisco (April 2006). Co-organizer with Steve Schkoller.
- A variational
problem arises from mud cracking. UC Davis, March 2006.
- Ramified mass
transportation and the formation of tree leaves. AMS sectional meeting.
Lincoln, NE (October 2005).
- The formation of
mud cracking. AMS sectional meeting. Bowling
Green, KY (March 2005)
- Ramified phenomena
in optimal transportation. University of Colorado at Boulder, January
2005
- On the formation
of tree leaves. University of British Columbia, Vancouver, Canada.
January 2005.
- Ramified phenomena
in optimal transportation. University of British Columbia, Vancouver,
Canada. January 2005
- Ramified phenomena
in optimal transportation. University of California at Davis, January
2005
- Ramified phenomena
in optimal transportation. University of Utah, January 2005
- The formation of
tree leaves. SIAM Conference on
Analysis of Partial Differential Equations (PD04). In the
minisymposium "Some Variational Problems from
Biology". Houston, Texas, December 2004.
- Optimal transport
paths and beyond. SIAM Conference on Analysis of Partial
Differential Equations (PD04). In the minisymposium "Free
boundary problems and optimal transportation." Houston, Texas.
December 2004
- The formation of a
tree leaf. AMS Southeastern Section Meeting, Nashville, TN, October
2004.
- The formation of
tree leaves. AIMS's fifth international conference on dynamical systems
and differential equations. Special session on "Mathematics Inspired by
Biology". Pomona, CA, June 2004.
- The formation of
tree leaves. The sixth AMS-SMM meeting in Houston, 2004.
- Optimal paths
related to transport problems. Workshop on mass transportation
at Scuola Normale Superiore, Pisa, Italy, October 2003.
- Variational
problems in the intersection homology theory of singular varieties, ANA
conference at Carnegie Mellon University, May 2003.
- Regularity
of
optimal paths related to transport problems, PIMS at University of
British Columbia, July 2002.
- Soap films in
singular spaces, University of Texas at Austin, October 2002.
- Optimal paths
related to transport problems, University of Wisconsin at Madison,
March 2002.
- Optimal paths
related to transport problems, University of Kentucky, March 2002.
- Optimal paths
related to transport problems, Brown University, January 2002
- Optimal paths
related to transport problems, AMS annual meeting at San Diego, January
2002.
Refereeing
- Journals:
- Duke Mathematical
Journal
- Journal of the European Mathematical Society
- SIAM
Journal on Optimization
- SIAM Journal on Mathematical Analysis
- Rendiconti del
Seminario di Padova
- Communications in Math Sciences.
- Foundations of Computational Mathematics
Event Organized:
- AMS
special session in San Francisco, CA, April 29~30,
2006. (with Steve Schkoller).
Students
- Summer
2008
- Two
graduate students will do research with me on topics related to optimal
transportation and geometric measure theory.
- Mentor
for one undergraduate student for the 2008 REU program.
- Spring
2008
- Two
graduate students took a Reading course with me on "Geometric measure
theory".
- Summer 2007
- Mentor for
two undergraduate students Yunrui Cai and Rajanpreet Kaur for the
2007 REU program.
- Summer
2007, Teaching mentor for
a first-time AI: Mr. Eunghyun Lee
University Service
- 2007-2008
- Fall
2007 and Winter 2008, Organizer - PDE Seminar
- Review Travel Award
applications - Graduate Council Support and Welfare Committee
- Reviewer
for the campus -
the 2008-09 Graduate Student Internal Fellowship Competition
- Reviewer
for the department
- Evaluating new graduate student applications from China
- Oral
Qualify Exam Committee: He Huang from ECE.
- 2006-2007
- Committee
on "Undergraduate
Mathematics Competition".
- 2005-2006
- Spring
2006, Organizer - PDE
Seminar