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  Mathematical Research


Publications and Books

Submitted or Published

  1. S. Baldridge and P. Kirk, Constructions of small symplectic 4-manifolds using Luttinger surgery.

  2. S. Baldridge and P. Kirk, A symplectic manifold
    homeomorphic but not diffeomorphic to $\CP\# 3\CPb$,

  3. S. Baldridge and P. Kirk, Luttinger Surgery and
    interesting symplectic 4-manifolds with small Euler characteristic,

  4. S. Baldridge and P. Kirk, Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau Line, to appear, Journal of Symplectic Geometry. 

  5. S. Baldridge and P. Kirk, On symplectic 4-manifolds with prescribed fundamental group, to appear, Commentarii Mathematici Helvetici.

  6. S. Baldridge, The Singapore Mathematics Curriculum and Implications for Adopting and Developing Textbooks in the U.S.

  7. S. Baldridge and T. Parker, Elementary Geometry for Teachers, (pilot version), Sefton-Ash Publishers, 196 pages.

  8. S. Baldridge and T.J. Li, Geography of symplectic 4-manifolds with Kodaira dimension one, Algebraic and Geometric Topology, 5 (2005), 355-368.

  9. S. Baldridge, New symplectic 4-manifolds with b+=1, Mathematische Annalen, 333 (2005), 633-643.

  10. S. Baldridge, Seiberg-Witten vanishing theorem for S1–manifolds with fixed points, Pacific Journal of Mathematics, 217 (2004), no. 1, 1-10.

  11. T. Parker and S. Baldridge, Elementary Mathematics for Teachers, Okemos, MI: Sefton-Ash Publishers,  (2004) x+237 pages.

  12. S. Baldridge, Seiberg-Witten invariants, orbifolds, and circle actions, Transactions of the American Mathematical Society, 355 (2002), no. 4, 1669 - 1697.

  13. S. Baldridge, Seiberg-Witten invariants of 4-manifolds with free circle actions, Communications in Contemporary Mathematics, 3 (2001), 341 - 353.

  14. S. Baldridge, Thesis. Michigan State University, May 2001.

In Preparation

  1. S. Baldridge and P. Kirk, Fundamental groups of complements of Lagrangian tori in the product of two surfaces.

  2. S. Baldridge, Variety in the geography of symplectic 4-manifolds.

  3. S. Baldridge, Exact solutions to Einstein's equations on closed manifolds.

  4. S. Baldridge, Seiberg-Witten Invariants and Morse Theory.

  5. S. Baldridge, Introduction to Geometric Topology, vi+258 pages. This book still needs illustrations and some editing, but it is close to final form.

Computer Programs and Non-mathematical Publications

  1. S. Baldridge, Multivariable Alexander Polynomial Calculator for Mathematica, (Mathematica software),
    [Computer Program], (1999).

  2. S. Baldridge, Experiments in measuring uncertainty, Steelcase Inc., (1996), 1–17.

  3. S. Baldridge, Employee Development System, (ObjectPal, C++), [Computer Program],Whirlpool Corporation,
    (1993). Includes a 156 page user guide.

  4. S. Baldridge, WIK System, (EIS Commander, Pascal), [Computer Program], Whirlpool Corporation, (1991).

  5. S. Baldridge, NetQuest System, (Nomad2), [Computer Program], Whirlpool Corporation, (1989).

  6. S. Baldridge, Teacher Gradebook Module, (TurboBasic), [Computer Program], Surfside Software,
    Inc., (1987). Includes a 46 page user guide. (I wrote this program starting when I was 15; it sold
    nationally and paid for my part of my college education).

Lecture Notes and Unpublished Papers

  1. S. Baldridge, Seiberg-Witten Invariants on S^1×Y^3, preprint, 1-50,  1998.

  2. S. Baldridge, Lectures on Symplectic and Contact Geometry, lecture notes, 1-17, 1998.


  3. S. Baldridge, Basic Classes of Minimal Kahler Manifolds of General Type, Lecture Notes, 1-9, 1997.

Recent Invited Lectures and Colloquiums

Feb. 2007 Invited Speaker, Second Louisiana-Texas-Topology-Retreat Conference
Jan. 2007 Invited Speaker, AMS-MAA-MER Special Session on Mathematics and Education Reform, New Orleans
Nov. 2006 Invited Speaker, University of Louisiana, Lafayette.
Nov. 2006 Invited Speaker, Symplectic Geometry and Topology and their Applications Conference, Poland.
Oct. 2006 Panelist, Graduate Student Meeting for Career Guidance, LSU.
Aug. 2006 Principal Speaker, 5 day mini-course, Wyoming, Michigan.
April 2006 Invited Speaker, AMS Special Session on Invariants of Low dimensional Manifolds, Miami, Florida.
Mar. 2006 Colloquium, Texas State University, Texas.
Feb. 2006 Principal Speaker, 2 day mini-course, Beaumont Texas
Feb. 2006 Colloquium, Rice University
Jan. 2006 AMS Special Session on New Developments in Symplectic Topology, San Antonio
Dec. 2005 Principal Speaker, 2 day mini-course, Beaumont, Texas
Sept. 2005 Seminar Speaker, Louisiana State University
Aug. 2005 Principal Speaker, 5 day mini-course, Singapore
Mathematics Institute, Madison, Wisconsin
May 2005 Invited Speaker, Conference, Mathematical Sciences Research Institute (MSRI)
May 2005 Invited Speaker, Symplectic Geometry Program Reunion
Conference (IPAM), Lake Arrowhead
Apr. 2005 Colloquium, Southeastern Louisiana University
Apr. 2005 Colloquium, California State University, Fullerton
Apr. 2005 Colloquium, Chapman University, California
Apr. 2005 Colloquium, California State University, Northridge
Mar. 2005 Invited Speaker, Geometry and Topology Seminar, Tulane University
Feb. 2005 Invited Speaker, BRACTM conference, Baton Rouge
Jan. 2005 AMS Special Session on Mathematicians' work on Mathematics Education, Atlanta Georgia
Oct. 2004 Lecture to introduce graduate students to topology, Louisiana State University
Sept. 2004 Colloquium, Southeastern Louisiana University
Sept. 2004 Seminar Speaker, Louisiana State University (3 lectures)
Aug. 2004 Principal Speaker, 3 day mini-course, Singapore
Mathematics Institute, Madison, Wisconsin
May 2004 Invited Speaker, Conference on Geometry and Topology of Manifolds, McMaster University
Feb. 2004 Colloquium, The Ohio State University
Feb. 2004 Colloquium, Loyola University of Chicago
Jan. 2004 Colloquium, Louisiana State University (in Mathematics)
Jan. 2004 Colloquium, Louisiana State University (in Education)
Jan. 2004
AMS Special Session on Geometric Structures on Manifolds
Jan. 2004
AMS Special Session on Low-Dimensional Topology
Jan. 2004
AMS-MAA-MER Special Session on Mathematics and Education Reform, Phoenix
Nov. 2003
Invited Speaker, Special Workshop on Mathematics Education, The Ohio State University
Aug. 2003
Invited Speaker, Differential Geometry Seminar, University of Minnesota
Aug. 2003
Principal Speaker, 5 day mini-course, Singapore Mathematics Institute, Madison, Wisconsin
May 2003
Invited Speaker, Tenth G¨okova Geometry/Topology Conference, G¨okova, Turkey
May 2003
Colloquium, California State University at Los Angeles
April 2003
Colloquium, University of Memphis
April 2003
Invited Speaker, Symplectic Geometry Seminar, IPAM, UCLA
April 2003
AMS Special Session on Topology, Indiana University
Jan. 2003
Invited Speaker, Differential Geometry Seminar, Georgia Tech
Nov. 2002
Invited Speaker, AMS Committee on Education, Washington, D.C., November, 2002
Nov. 2002
Invited Speaker, Differential Geometry Seminar, University of Illinois
April 2002
Invited Speaker, Gauge Theory Seminar, Michigan State University
Feb. 2002
Topology and Geometry seminar, Indiana University
Jan. 2002
Low Dimensional Topology Seminar, AMS/MAA Joint Mathematics Meeting
Nov. 2001
Invited Speaker, Differential Geometry Seminar, Massachusetts Institute of Technology

Professional Activities


Internal Review Committee, Department of Mathematics, LSU.


Masters of Natural Science Development Committee, Department of Mathematics.  Co-founded the LA Teachers Institute at LSU.
2005 Organizer, Teaching in East Baton Rouge
Parish Schools after Katrina presentation, LSU.
2005 Volunteer, Pete Maravich Assembly Center, LSU's Hurricane Katrina acute care field hospital
2005 Thesis review committee in Mathematics for Scott Jude Champagne.
2005 Review team member, Chancellor's Distinguished Lectureship Series, Louisiana State University
2004-05 Student Advisor Committee, Department of Mathematics, Louisiana State University
2004-05 Secondary Education Committee, College of Arts and Science, Louisiana State University
2004 Participant, Step thru Stem Retreat, May
2004 Participant, Standards Setting Meeting, American Board for Certification of Teacher Excellence
2003 REU Project Advisor, Student: Russell Halper
2002– Principal organizer, VIGRE Seminar, Indiana University
2002 Participant, Standards for Success Project
Course Adoption Committee, 21st Century Teacher Project
Principal organizer, Knot theory student seminar, Michigan State University
Dean’s Student Advisory Council, College of Natural Science, Michigan State University
Graduate Student Committee, Department of Mathematics, Michigan State University
1996–  Member of the American Mathematical Society

Physics Courses Audited

I am interested in supersymmetry and string theory and how it relates to Seiberg-Witten theory. I audited the following courses at Michigan State University:

  • PHY 820 Classical Mechanics, Fall 1999.

  • PHY 851 Quantum Mechanics I, Fall 1999.

  • PHY 852 Quantum Mechanics II, Spring 2000.

  • AST 860B Gravitational Astrophysics, Spring 2000.

  • PHY 853 Advance Quantum Mechanics, Fall 2000.

  • PHY 854 Quantum Electrodynamics, Spring 2001.





Scott J. Baldridge
224 Lockett Hall
Department of Mathematics
Louisiana State University
Baton Rouge, LA 70803