| Education: |
| B.S. in Math and Computer Science, University of Minnesota |
| Ph.D. in Math, University of California at Berkeley |
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| Thesis Title: Integral Curves in Even Linkage Classes |
| Positions: |
| Associate Professor: Texas Christian University, 2005-present. |
| Assistant Professor: Texas Christian University, 2000-2005. |
| Visiting Assistant Professor: University of Notre Dame, 1998-2000. |
| Visiting Assistant Professor: University of California, Riverside, 1998 |
| Postdoctoral Position: Univerisity of Barcelona, 1996-1997. |
| Consultant: Decision Research, 1996. |
| This work resulted in U.S. Patent 6,324,296. |
| Visiting Assistant Professor: Univeristy of California, Riverside, 1995. |
| Invited Talks: |
|
Saint Louis, October 2018 |
| I-70 Algebraic Geometry Symposium |
| Title: Noether-Lefschetz theory and a problem of Srinivas |
|
College Station, April 2018 |
| Texas Algebraic Geometry Symposium |
| Title: Moduli spaces of curves |
|
Lubbock, April 2014 |
| AMS special session at joint meetings |
| Title: Noether-Lefschetz theory and a problem of Srinivas |
|
New Orleans, January 2011 |
| AMS special session at joint meetings |
| Title: Picard groups of singular surfaces |
|
University of Illinois at Chicago, October 2009 |
| Algebraic Geometry seminar |
| Title: Development of the Noether-Lefschetz Theorem |
|
University of California at Riverside, March 2009 |
| Algebraic Geometry seminar |
| Title: Introduction to the Noether-Lefschetz Theorem |
|
University of Notre Dame, April 2008 |
| Algebraic Geometry seminar |
| Title: Class groups and the Noether-Lefschetz theorem |
|
California State University at Long Beach, February 2008 |
| Colloquium |
| Title: Introduction to the Jacobian Conjecture |
|
University of Texas at Arlington, November 2007 |
| Algebra Seminar |
| Title: A Survey of Liaison Theory |
|
University of California at Riverside, March 2007 |
| Algebraic Geometry Colloquium |
| Title: Introduction to the Jacobian Conjecture |
|
University of California at Riverside, March 2007 |
| Algebraic Geometry Seminar |
| Title: Birationality of étale maps via surgery |
|
Trinity College, November 2005 |
| Colloquium Talk |
| Title: Introduction to the Jacobian Conjecture |
|
Politecnico di Torino, Italy, February 2005 |
| Conference in commutative algebra and algebraic geometry dedicated to Paolo Valabrega for his 60th birthday |
| Title: Deformations of space curves and connectedness in Hilbert schemes |
|
Vanderbilt University, October 2004 |
| AMS conference |
| Title: Curves on double surfaces |
|
Rice University, March 2004 |
| Algebraic geometry seminar |
| Title: Hilbert schemes of quartic curves |
|
Baylor University, March 2003 |
| Central Texas Algebra Conference |
| Title: Holomorphic Injectivity and the Hopf Map |
|
Texas Christian University, November 2002 |
| AGANT seminar |
| Title: Liaison theory and the classification of space curves |
|
University of California at Riverside, January 2002 |
| Algebraic geometry seminar |
| Title: Hilbert schemes of degree four curves and multiplicity lines |
|
University of Torino, Italy, March 2001 |
| Colloquium talk |
| Title: The jacobian conjecture |
|
University of California, Berkeley, August 1998 |
| Conference in honor of Robin Hartshorne |
| Title: On the Second Section of a Rank Two Bundle |
|
University of Ferrara, Italy, June 1997 |
| Conference in honor of Mario Fiorentini |
| Title: Bounds on the Rao Function |
|
University of California at Riverside, February 1997 |
| U.C.R./U.C.L.A./Utah Algebraic Geometry Conference |
| Title: Connectedness in Hilbert Schemes |
| Other Professional Activities: |
| Co-organizer: CBMS regional meeting at TCU, June 4-8, 2018 |
| Co-organizer: Texas Geometry and Topology Conference, February 2016 |
| Co-organizer: Texas Geometry and Topology Conference, February 2013 |
| Co-organizer: Algebraic Geometry session for AMS meeting, January 2013 |
| Co-organizer: CBMS regional meeting at TCU, June 18-23, 2012 |
| Co-organizer: Texas Geometry and Topology Conference, February 2010 |
| Co-organizer: Commutative Algebra and Algebraic Geometry conference in honor of Hartshorne's 70th birthday, Chicago, April 11-13, 2008. |
| Co-organizer: Texas Geometry and Topology Conference, February 2007 |
| Co-organizer: Texas Geometry and Topology Conference, February 2004 |
| Research Visitor, University of Torino, Italy, March 2001 |
| Co-organizer: Texas Geometry and Topology Conference, February 2001 |
| Co-organizer: Algebraic Geometry session for AMS meeting, April 2000 |
| Research Visitor, University of Torino, Italy, December 1997 |
| Research Visitor, U.C. Berkeley, 1995-1996 |
| Publications: |
|
Algebraic Geometry II [Book Review],
Bull. Amer. Math. Soc. (N.S.) , 57 (2020) 133--143. |
|
Moishezon's theorem and degeneration, (with John Brevik),
J. Algebra , 544 (2020) 463--482. |
|
Geometric divisors in normal local domains , (with John Brevik),
J. Pure Appl. Algebra , 222 (2018) 464--476. |
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Grothendieck-Lefschetz theorem with base locus, (with John Brevik),
Israel J. Math. , 212 (2016) 107--122. |
|
Srinivas' problem for rational double points, (with John Brevik),
Michigan Math. J., 64 (2015), 155--168. |
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Developments in Noether-Lefschetz theory, (with John Brevik), Contemporary Mathematics 608 (2014) 21--50. |
|
Picard groups of normal surfaces, (with John Brevik), J. Singul. 4 (2012) 154--170. |
|
Detachment of embedded points,
(with Dawei Chen), Algebra Number Theory 6 no. 4 (2012) 731--756. |
|
Hilbert scheme of a pair of codimension two linear subspaces,
(with Dawei Chen and Izzet Coskun), Comm. Algebra 39 no. 8 (2011) 3021--3043. |
|
Noether-Lefschetz theorem with base locus,
(with John Brevik),
Int. Math. Res. Not. IMRN 2011 no. 6, 1220--1244. |
|
Birationality of étale maps via surgery,
(with Laurence Taylor and Frederico Xavier),
J. Reine Angew. Math. 627 (2009) 83--95. |
|
On Kulikov's Problem,
(with Frederico Xavier),
Arch. Math. (Basel) 89 no. 5 (2007) 385--389. |
|
Deformations of space curves: Connectedness in Hilbert schemes,
Rend. Sem. Mat. Univ. Politec. Torino 64 no. 4 (2006) 433-450. |
|
Holomorphic Injectivity and the Hopf map
(with Frederico Xavier),
Geom. Funct. Anal. 14 no. 6 (2004) 1339-1351 |
|
The Hilbert Schemes of Degree Four Curves
(with Enrico Schlesinger),
Compositio Math. 139 no. 2 (2003) 169-196. |
|
Curves on a double surface
(with Enrico Schlesinger),
Collect. Math. 54 no. 3 (2003) 327-340. |
|
Global Inversion via the Palais-Smale Condition
(with Frederico Xavier),
Disc. Cont. Dynam. Sys. - Ser. A 8 no. 1 (2002) 17-28. |
|
A Remark on Connectedness in Hilbert Schemes,
Comm. Algebra 28 no. 12 (Special issue in honor of Robin Hartshorne) (2000) 5745-5747. |
|
On the Second Section of a Rank Two Bundle
(with Margherita Roggero and Paolo Valabrega),
Comm. Algebra 28 no. 12 (Special issue in honor of Robin Hartshorne) (2000) 5531-5540. |
|
Bounds on the Rao Function
(with Rosa Maria Miró-Roig),
J. Pure Appl. Algebra 152 no. 1-3 (Special issue in honor of David Buchsbaum) (2000) 253-266. |
|
Integral Subschemes of Codimension Two,
J. Pure Appl. Algebra 141 no. 3 (1999) 269-288. |
|
Hilbert Polynomials over Artinian Rings
(with Cristina Blancafort),
Illinois J. Math. 43 no. 2 (1999) 338-349. |
|
Bounds on Multisecants,
Collect. Math. 49 no. 2-3 (Volume in memory of Fernando Serrano) (1998) 447-463. |
|
Bounds on c3 for Threefolds
(with Mei-Chu Chang and Hoil Kim),
Manuscripta Math. 97 no. 2 (1998) 135-141. |
|
Degrees of Generators of Ideals
(with Heath Martin and Juan Migliore),
Comm. Algebra 26 no. 4 (1998) 1209-1231. |
|
Subextremal Curves,
Manuscripta Math. 94 no. 3 (1997) 303-317. |
|
The Hilbert Schemes of Degree Three Curves,
Ann. Sci. Ecole Norm. Sup. (4) 30 no. 3 (1997) 367-384. |
|
Smooth Curves Linked to Thick Curves,
Compositio Math. 106 no. 2 (1997) 203-210. |
|
Even Linkage Classes,
Trans. Amer. Math. Soc. 348 no. 3 (1996) 1137-1162. |
| Mathematical Reviews |
| Zentralblatt Reviews |