The Leviforms, CR Extension and the Local Solvability of the Tangential
Cauchy-Riemann Equations, N.S.F. MCS-8301369, $21,662, May, 1983 - December, 1985.
The Leviforms, CR Extension and the Tangential Cauchy-Riemann
Equations, N.S.F. DMS-8301369, $24,590, June, 1985 - December, 1987.
The Leviforms and CR Extension, N.S.F. DMS-8700998, June 1987 -
December, 1988, $7458.
National Science Foundation Planning grant
for the Collaborative on Learning Technologies, with Richard
Ewing, Michael Pilant and Peter Stiller, $50,000, August, 1996 - July, 1997.
National Science Foundation:
Research Experiences for Undergraduates -
Algebraic and Analytic Methods in the Mathematical Sciences
Co-PI with Ed Letzter, Award # DMS-9912192, $199,000 2000-2002.
PI on National Science Foundation:
Research Experiences for Undergraduates -
Site Award (renewal)
with co-PIs Larson, Walton and Wehrly Award # DMS-, $240,000 over 2002-2005.
PI on National Science Foundation:
Research Experiences for Undergraduates -
Site Award (renewal)
with co-PIs Larson, Walton and Wehrly Award # DMS-, $360,000 over 2006-2009.
Co-PI on REU grant, (PI is Jay Walton), June 2009-2012,
recommended for funding
Co-PI on NSF - VIGRE award; PI is Bill Rundell;
other Co-PIs are Boas, Johnson, Sanchez and Walton.
Amount is $1,463,921, 2000-2003.
PI on NSF - VIGRE award (renewal), Boggess became PI
when Rundell became NSF-DMS Director;
other Co-PIs are Boas, Johnson, Schlumprecht and Walton.
Amount is approximately $1,000,000 over 2003-2005.
co-PI on GAANN - Graduate Assistantships in Areas of National Need ,
(PI is Paulo Lima-Filho), Department of Education, Approximately $120,000
per year, 2006-2011.
Co-PI on MCTP - Mentoring Through Critical Transistions ,
PI is Sue Geller; 2008-2013
PI on Workshop to Advise NSF on Proposed Program for Undergraduate
Recruitment into Mathematics and Science NSF, $86,695,
June 1, 2008 - May 31, 2009
Joint Education and Science Interdisciplinary Proposal
(with Michael Pilant and Robert Hall) $100,000,
June 1993-1997; funded by the Associate Provost for Research and Graduate Studies
at Texas A&M.
A&M Computer Access Funds to equip Heldenfels with
an RGB projector for computer aided instruction (joint
with the Heldenfels user committee).
$28,000, Spring 1996.
A&M Computer Access Funds to equip Heldenfels
and Blocker with
an RGB projectors and terminals for computer aided instruction,
$80,000, Spring 1997.
A&M Computer Access Funds to replace the
projector in BLOC 158 with an LCD projector,
$25,000, Fall 2001.
Supplemental Teaching Funds. Numerous teaching supplements
averaging 150-200K per academic year and 80K in the summer
to support the (mostly service) teaching mission of the department.
Consultant
for geology grant #ACS-PRF-5531 (1984) to
study salt concentration in ground water
(principal investigator was Steve Fritz in the Department of Geology
at Texas A&M). The consulting involved numerically solving various
diffusion equations with mixed boundary data.
Consultant for Advanced Placement Curriculum for Northeast
Independent School District (San Antonio, TX), 1997.
Consultant for the College Board Advanced Placement Program
Office in Austin (Maple training session for AP teachers), August 1999.
Member, College of Science SLEAF (Science Lab. Equip. Access Fee) Committee 1994-.
Member, Campus Tutorial Advisory Committee, 1995.
Chair, College of Science Faculty Advisory Council
(advises the Dean of the College of Science at Texas A&M) ,
1987-88, (member from 1986-1988)
Departmental Activities
Head of Department, 2002-
Presides over the Department's Executive Committee which makes recommendations on
long-range planning, hiring, faculty evaluations/raises and committee
assignments
Appoints and oversees the activities of three associate heads
(teaching operations, graduate program, and undergraduate program)
as well as the activities of the newly created Honors Director
Negotiates with dean on matters such as budgets, hiring,
promotion and tenure
Manages the departmental budget
In charge of hiring and managing the Academic Business Administrator
who oversees all departmental staff
General Department Peace Keeper (without carrying a piece)
Associate Head, 1994-2002
Hire and manage the lecturers.
Set the teaching schedule for all faculty members of the Department.
Help coordinate and implement all curriculum reform efforts.
Math 640 , Applied Linear Algebra (via distance-ed), Fall 2005
- - 18 students enrolled; this course is part of the
department's distance masters program and was taught using streaming
video through WebCT
Math 640-700/720 ,
Fall 2006 - - 18 students enrolled; this course is part of the
department's distance masters program and was taught using streaming
video through WebCT
Math 640-700/720 ,
Fall 2007 - - 19 students enrolled; this course is part of the
department's distance masters program and was taught using streaming
video through WebCT
Math 640-700/720 ,
Fall 2008 - - 18 students enrolled; this course is part of the
department's distance masters program and was taught using streaming
video through WebCT
Math 414, Wavelets , in collaboration with Fran Narcowich.
The development involves the writing of a
A First Course in Wavelets with Fourier Analysis
book that is accessible to junior and senior undergraduate
mathematics, science and engineering majors.
Math 689, Advanced Placement Calculus course for high school teachers
- jointly developed with Mike Stecher.
Taught as a two-week summer course and more recently
as a one-week workshop (by Stecher).
A manual ,
integrating the use of the graphing calculator, was developed
for use in this course. A similar course was taught by Boggess
at Schreiner College in the Summer of 1995.
Significant restructuring of the content of
Engineering Calculus: Math
151,
152 and
251
to better
serve the needs of engineering. This is an outgrowth of the
discussions in the
Engineering/Science/Curriculum (chaired by the Associate Dean of
Engineering). Material on vectors
and differential equations is now covered earlier in the syllabus
for all sections of these courses.
Material on sequences and series is covered later.
A customized
version of
Stewart's Calculus text was written as part of this reorganization
in collaboration with James Stewart.
Development of the laboratory in Math 151 and 152, 1994 -.
A
laboratory manual was written in 1994 and was revised again in 1997
in view of the reorganization of the calculus sequence.
Kernels for the tangential Cauchy - Riemann equations,
Transactions of the American Mathematical Society, 262 (1980), pg. 1-49.
Kernels for the local solvability of the
tangential Cauchy - Riemann equations, Duke
Mathematical Journal, 47 (1980), pg.
903-921.
CR extendability near a point where the first Levi form
vanishes, Duke Mathematical Journal 48 (1981), pg. 665-684.
Levi Geometry and the tangential Cauchy - Riemann equations
on a real analytic submanifold of Cn, Transactions of the
American Mathematical Society, 272 (1982), pg. 357-374.
(with J. C. Polking) Holomorphic extension of
CR functions , Duke Mathematical Journal, 49 (1982), pg. 757-784.
The extension of CR functions to one side of a submanifold
of Cn, Michigan Mathematical Journal, 30 (1983) 183-189.
(with J. Pitts) CR extension near a point of higher type,
Duke Mathematical Journal, 52 (1985), pg. 67-102.
(with Mei - Chi Shaw) A kernel approach to
the local solvability of the tangential
Cauchy - Riemann equations, Transactions of the American Mathematical
Society, 289 (1985), pg. 643-658.
(with J. Pitts and J. C. Polking)
The local hull of holomorphy of a semirigid submanifold
of codimension two, Michigan Mathematical Journal,
34 (1987), pg. 105-118.
The holomorphic extension of CR functions near a point
of higher type, Proceedings of the American Mathematical Society,
103 (1988), pg. 847-855.
(with R. Dwilewicz) Subaveraging estimates
for CR functions, Proceedings of the American Mathematical Society,
104 (1988), pg. 117-124.
(with R. Dwilewicz and A. Nagel)
The hull of holomorphy of a nonisotropic ball in a
pseudo convex real hypersurface of finite type,
Transactions of the American Mathematical Society, 323 (1991), pg.
209-232.
(with J. Pitts) CR extension near a point of higher type,
C. R. Academie of Science (Paris), 298 (1984), pg. 9-12.
The first and second Levi forms and CR extension,
Proceedings of Symposia in Pure Mathematics, 41 (1984), pg. 25-38.
A survey of recent CR extension results, Topics
in Several Complex Variables, (Pitman Publishing), 112 (1985),
pg. 80-89.
(with A. Nagel) Representing Measures for Holomorphic
Functions on Wedges, Princeton Conference on Harmonic
Analysis in honor of Eli Stein, Princeton University Press,(1995).
Contract with Wiley Publishing for a second edition
to A First Course in Wavelets with Fourier Analysis
with Fran Narcowich (submission date in February, 2009)
( with John Polking and David Arnold) Differential Equations ,
2001, Prentice Hall.
( with John Polking and David Arnold) Differential Equations
with Boundary Value Problems ,
2002, Prentice Hall.
( with John Polking and David Arnold) Differential Equations
with Boundary Value Problems, 2nd Ed. ,
2006, Prentice Hall.
Manuals and Other Writings
Calclabs with Maple V, (co-authored with 7 other members of the
Math Department), Brooks/Cole, 1994
Ordinary Differential Equations with Maple VR3 , Barrow, Belmonte, Boggess, et al Brooks/Cole, 1996 preliminary
edition
Reorganization and rewrite of Stewart's Calculus book
with an early vectors approach, 1999, Brooks/Cole Publishing
(with Jeff Morgan and the collaboration of many faculty
in the department of Mathematics).
AMS special session in several complex variables, May 1979,
Iowa City, Iowa.
Colloquium at Purdue University, April 1981.
Colloquium at Rice University, May 1981.
AMS annual meeting, January 1982, Cincinnati Ohio.
AMS special session in several complex variables,
March 1982, at Bryn Mawr, Philadelphia Pa.
AMS special session in several complex variables,
April 1982, at Madison Wisconsin.
AMS special session in several complex variables,
November 1982, at Baton Rouge La.
Workshop in several complex variables, August 1983,
at Mexico City.
Texas partial differential equations conference, April 1984,
at San Marcos Texas.
Colloquium at Texas Tech University, July 1984, Lubbock
Texas.
AMS special session in several complex variables, April 1986,
Indianapolis, Indiana.
Invited talk at the University of Wisconsin, May 1987, Madison
Wisconsin.
Invited talk at the conference in partial differential
equations and several complex variables, August 1987, Oberwolfach,
West Germany.
Visited Mathematical Sciences Research Institute, May 1988,
Berkeley California.
Invited talk at Purdue University, October 1988,
West Lafayette Indiana.
Invited talk at the University of Wisconsin, April
1990, Madison Wisconsin.
Colloquia at the University of Colorado, February, 1991.
Visited the University of Wisconsin, August, 1992.
Maple demonstration at the Advanced Placement Calculus Conference, Dallas TX, December, 1993.
Invited talk at the Special Session on Complex Function Theory,
Vancover, Canada, December 1995.
Invited hour talk at the Complex Analysis Symposium held in the
Banach Center, Warsaw, Poland, July, 1997.
Special Session in Several Complex Variables, AMS, San Antonio,
TX, January 1999.
Invited hour talk at the Complex Analysis Symposium held in the
Banach Center, Warsaw, Poland, July, 2000.
AMS Special Session, University of Kansas, March 2001.
Presentation on Texas A&M VIGRE program, University of Washington,
April 2003.
AMS Special Session Talk at AMS Meeting at the University of
North Carolina, October, 2003.
Global CR Approximation Results, Conference on Harmonic Analysis
and Complex Variables, Halifax, CA, May, 2004
Research Seminar Talk on CR Approximation given at
Rutgers University, April 2005.
Invited 20 minute conference talk on CR Approximation
at the AMS International
Joint Meeting of the AMS and the Sociedad Matemática Mexicana (SMM),
Houston Texas, May, 2005
Invited Hour Presentation on CR Approximation at
Workshop on Analytic and Algebraic Methods in Complex and CR Geometry
in Banff International Research Station, September, 2005
Colloquium Talk on CR Approximation at the University of
Missouri, Rolla, September, 2006
Invited Hour Presentation on CR Approximation by Entire Functions
at Banach Center in Warsaw Poland, June 2007
AMS Special Session Invited Talk on CR Approximation,
Baton Rouge, March 2008