Marshall University

David Hyeon

Personal Information:

 

Nationality: USA

 

Education:

 

August 1996, KAIST, mathematics and physics, B.S. 

May 2001, University of Illinois at Urbana-Champaign, mathematics, Ph. D.

Research Area: Algebraic Geometry

Appointments:

 May 2008—Present  Assistant Professor, Marshall University

August 2004 – May 2008 Assistant Professor, Northern Illinois University

July 2001- Jun 2004, G. C. Evans Instructor of Mathematics, Rice University

Honors and Awards:

 KRF (Korea Research Foundation) standard grant KRF-2005-042-C00005,
co-PI with Y. Lee and H. Chae.

7th biennial Kuo-Tsai Chen Prize in Mathematics
(University of Illinois at Urbana-Champaign, 2001)

14th annual Irving Reiner Memorial Award in Algebra
(University of Illinois at Urbana-Champaign, 2001)

University Fellowship (University of Illinois at Urbana-Champaign, 1999, 2000)

Waldemar J. Trjitzinsky Graduate Fellowship in Mathematics (1996)

Publications:

Stability of tails and 4-canonical models
(with Ian Morrison)
Math. Res. Lett. (to appear), arXiv: math.AG/0806.1269

Log minimal model program for the moduli space of curves: The first flip
(with Brendan Hassett)
submitted for publication, arXiv:math.AG/0806.3444

A new look at the moduli space of hyperelliptic curves
(with Yongnam Lee)
Mathematische Zeitschrift (to appear) (2008)

Moduli space of representations of vector groups
(with William Haboush)
submitted for publication (2008)

Stability computation via Grbner basis
(with Brendan Hassett and Yongnam Lee)
 
Journal of Korean Mathematical Society (to appear)

Stability of bicanonical curves of genus three
(with Yongnam Lee)
Journal of Pure and Applied Algebra 213 (2009) 1991—2000

Log minimal model program for the moduli space of stable curves of genus three
(with Yongnam Lee)
submitted for publication (2007), arXiv:math.AG/0703093

A log canonical model for the moduli space of curves: The first divisorial contraction
(with Brendan Hassett)
Trans. Amer. Math. Soc. 361 (2009), no. 8, 4471-4489

Stability of tri-canonical curves of genus two
(with Yongnam Lee)
Math. Ann. (2007), no. 2, 337:479–488

Note on the stability of principal bundles
(with D. Murphy)
Proc. Amer. Math. Soc. 132 (2004), no. 8, 2205--2213

Principal bundles over a projective scheme
Trans. Amer. Math. Soc. 354 (2002), no. 5, 1899--1908

Moduli questions for augmented bundles
University of Illinois Thesis (2001) 131 pages

Higgs bundles, spectral curves and ้tale covering
Internat. J. Math. 12 (2001), no. 4, 393—402

Direct images of stable triples
        
Internat. J. Math. 11 (2000), no. 9, 1231--1243

Computing stability of projective varieties with Macaulay 2,
12 pages,  lecture note based on a series of lectures given at The Winter School on Algebraic geometry – Algebraic curves and Related areas (National Institute of Mathematical Sciences), Korea, January 2007

Presentations:

April 9, 2009, University of Georgia, Colloquium

March 17, 2009, University of Illinois at Urbana-Champaign, Algebraic Geometry Seminar

January 8, 2009, Sogang University, Workshop on moduli spaces

August 1, 2008, Sogang University, Algebraic Geometry Seminar

March 31, 2008, Postech, Algebraic Geometry Seminar

February 19, 2008, Marshall University, Colloquium

December 28, 2007, Sogang University (Seoul , Korea), Workshop on Moduli Spaces

October 2, 2007, University of Wisconsin-Madison, Algebraic Geometry Seminar

June 21, 2007, Postech (Pohang, Korea), Algebraic Geometry Seminar

January 30, 2007, Rice University, Algebraic Geometry Seminar

January 8-10, 2007, Invited Speaker at The Winter School on Algebraic geometry – Algebraic curves and Related areas (National Institute of Mathematical Sciences, Korea)

January 4-6, 2007, Invited Speaker at The International Workshop on Mathematical Sciences (Algebraic Geometry and its Applications) , Sogang University, Korea

September 29, 2006, University of California at Los Angeles, Algebraic Geometry Seminar

June 15, 2006, Research Institute for Mathematical Sciences, Kyoto University (Kyoto, Japan), Algebraic Geometry Seminar

January 9, 2006, Sogang University (Seoul, Korea), Algebraic Geometry Seminar

October 19, 2005, University of Illinois at Chicago, Algebraic Geometry Seminar

September 6, 2005, University of Illinois at Urbana-Champaign, Algebraic Geometry Seminar

July 13, 2005, KIAS, Algebraic Geometry Seminar

February 2005, Northern Illinois University , Geometry Seminar

January 5, 2005, KIAS (Seoul, Korea), Algebraic Geometry Seminar

December 31, 2004, Sogang University (Seoul, Korea), Algebraic Geometry Seminar

May – Jun 2004, Seminar talks at KIAS (Seoul Korea), Korea University (Seoul, Korea), Sogang University (Seoul, Korea) and KAIST (Taejon, Korea)

April 27, 2004, University of Texas at Austin, Algebra Seminar

April 1, 2004, TCU, Special Seminar

March 17, 2004, Northern Illinois University, Special Seminar

January 14, 2004, Oklahoma State University, Colloquium

December 9, 2003, University of Illinois at Urbana-Champaign, Algebraic Geometry Seminar

November 2003, Rice University, Geometry and Analysis Seminar

July 2003, Invited speaker at VBAC (Vector Bundles on Algebraic Curves) meeting, Porto, Portugal

June 2003, Invited speaker at AMS-RSME meeting, Seville, Spain

May 2003, Colloquium at KAIST (Taejon, Korea)

May 2003, Seminar talks at Sogang University (Seoul, Korea), KIAS (Seoul,Korea), Ewha Women's University (Seoul, Korea)

April 2003, University of Michigan at Ann Arbor, Algebraic Geometry Seminar

February 2003, Rice University, Geometry and Analysis Seminar

November 2001, Invited speaker at AMS Western Sectional Meeting

September 26, 2001, Rice University, Geometry and Analysis Seminar

September 19, 2001, Rice University, Geometry and Analysis Seminar

April 25, 2001, Rice University, Special Seminar

Visits:

Jan 2007, May – June 2006, June – July 2005, January 2005, May 2004, May 2003, Visiting Scholar at Korea Institute for Advanced Study, Seoul, Korea

June 2006, Overseas Researcher at Research Institute for Mathematical Sciences, Kyoto, Japan

December 2004, Invited participant at Compact Moduli Spaces and Birational Geometry, AIM, Palo Alto, CA

March 28 - April 5 2002, Workshop on Non-Abelian Hodge Theory, MSRI,  Berkeley, CA

February - March 1999, Visitor at Tata Institute of Fundamental Research, Mumbai, India.

May 1997, Visitor at MSRI, Berkeley, CA

Meetings & Conferences Organized:

Workshop on moduli spaces, Sogang University (Seoul, Korea), January 6-8, 2009

Synergistic Activities:

Organizing Committee, Department Colloquium at NIU (2006)

Faculty Advisor, Math Club at NIU (2005-2006)

Undergraduate Studies Committee (2004-2005)

Organizer of Department Colloquium at Rice University (2003)

Organizer of Math Career Lecture Series at Rice University (2001 - 2002)

Teaching Experience:

 Northern Illinois University (Fall 2004 – Present)

Graduate course in Topology (Spring 2005, Spring 2007))

Abstract Algebra II (Spring 2006)

Abstract Algebra I (Fall 2004, Fall 2005, Fall 2007)

Linear Algebra (Spring 2005, Fall 2005, Spring 2006, Fall 2006, Spring 2007)

Calculus I (Fall 2004, Fall 2006, Fall 2007)

Rice University (Fall 2001 - Spring 2004))

Graduate course in Basic Algebraic Geometry (Fall 2003)

Abstract Algebra (Spring 2003)

Complex Analysis (Spring 2002, Spring 2004)

Multivariable Calculus (Spring 2003, Fall 2002, Spring 2002, Fall 2001)

University of Illinois at Urbana-Champaign (Fall 1996 – Spring 2001)

Calculus and Analytic Geometry I (Fall 2000)

Teaching Assistant to Calculus and Analytic Geometry I, II, Advanced Calculus, Elementary Linear Algebra with Applications

Research Assistant: Helped establishing an interactive website WebAlgebra for teaching basic algebra, trigonometry, and calculus

Advisors: 

Steven Bradlow, Ph. D. thesis advisor, University of Illinois at Urbana-Champaign

William Haboush, Ph. D. thesis advisor, University of Illinois at Urbana-Champaign

Brendan Hassett, postdoctoral advisor, Rice University