Ching-Jui Lai Contact Information

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Curriculum Vitae
Ching-Jui Lai
October 2011
Contact Information
Address: Department of Mathematics, University of Utah
155 South, 1400 East
Salt Lake City, Utah 84112-0090
Telephone: 801-585-1680
E-mail: lai@math.utah.edu
URL: www.math.utah.edu/~lai
Personal Data
Date of Birth: June 30, 1983.
Place of Birth: Taichung City, Taiwan (R.O.C.).
Nationality: Taiwan (R.O.C.)
Gender: Male
Marital Status: Single
Education
Ph.D. Mathematics, University of Utah
2007-2012
B.S. Mathematics, National Taiwan University 2001-2005
Dissertation Advisers
Christopher D. Hacon Distinguished Professor, University of Utah
Yuan-Pin Lee
Professor, University of Utah
Dissertation Title
 Varieties fibered by good minimal models

Employment
2011-2012
2011-Summer
2010-2011
2010-Summer
2008-2010
2007-2008
Graduate Research Fellowship, University of Utah
Research Assistant, National Taiwan University
Teaching Fellow, University of Utah
Research Assistant, National Taiwan University
Teaching Fellow, University of Utah
Graduate Assistant, University of Utah
Curriculum Vitae
Ching-Jui Lai
2005-2006
October 2011
Teaching Assistant, National Taiwan University
Publications
[1] Varieties fibered by good minimal models. Math. Ann. Vol. 350,
Issue 3 (2011), P. 533-547. arxiv.org/abs/0912.3012
[2] On the volume of unipolar ε-klt log Q-Fano threefolds and ε-klt
log Del Pezzo surfaces. (In preparation)
Invited Talks
 Algebraic Geometry Seminar, Princeton University, Dec. 2011
(TBA)
 Summer School on Algebraic Geometry, RIMS, Kyoto, July 2011
(Varieties fibered by good minimal models)
 Algebraic Geometry Seminar, University of Utah, Sept. 2011
(Varieties fibered by good minimal models)
Presentation
Algebraic Geometry Summer Meeting, TIMS, Taiwan, July 2011
(Miyaoka-Yau-Bogomolov inequality via the theory of stable bundles, two
talks)
 School on Birational Geometry and Moduli Spaces, University of
Utah, June 2010
(Mumford's example of a non-reduced component of a Hilbert scheme)
 Western Algebraic Geometry Seminar, Poster session
1. Varieties fibered by good minimal models, Colorado State
University, Fall 2011
2. Varieties fibered by good minimal models, University of British
Columbia, Vancouver, Spring 2011

Awards
Graduate Research Fellowship from University of Utah, 2011-2012.
(One year )
Outstanding Graduate Student Award
Mathematics, University of Utah, 2011.
from
Department
of
Curriculum Vitae
Ching-Jui Lai
October 2011
T. Benny Rushing and Gail T. Rushing Fellowship from Department
of Mathematics, University of Utah, 2010
Teaching
2011 Spring Math-1060, Trigonometry (TA)
2010 Spring Math-1220, Calculus II (4-hour, Instructor)
2009 Spring Math-1220, Calculus II (TA)
2008 Fall
Math-1010, Intermediate Algebra (3-hour, Instructor)
Research Interest
My field of interest is Algebraic Geometry with special focus on the
study of higher dimensional algebraic varieties. Interesting research
topics to me are the birational classifications of algebraic varieties,
problems related to the minimal model program, the study of singular
Fano varieties, theory of singularities in positive characteristic, and
theory of stability conditions. I am also interested in Gromov-Witten
theory and its application to the study of rationally connected varieties.
My current research focuses on the special cases of Borisov-AlexeevBorisov conjecture, the correspondence of singularities in between zero
characteristic and positive characteristics, and symplectic geometry of
rational connected manifolds.
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